Answer: 9 + 6(x) = 7 - x
Answer:
→ 9 + (6 × x) = 7 - x
Using the graph, determine the coordinates of the vertex of the parabola.
The coordinates of the vertex of the parabola are (-1, -9)
Coordinate of a vertexFrom the question, we are to determine the coordinates of the vertex of the parabola
The vertex of a parabola is the point where the parabola crosses its axis of symmetry.
In the given graph, the axis of symmetry is x = -1
Thus,
The vertex of the parabola in the given graph is the point where x = -1 on the curve
At this point on the parabola, x = -1 and y = -9.
Hence, the coordinates of the vertex of the parabola are (-1, -9)
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If 40% of a population is 4500, what is the total population?
Answer:
11,250
Step-by-step explanation:
In order to find the total population just divide 4500 by 40%
[tex] = \sf \: 4500 \div \frac{40}{100} [/tex]
[tex] = \sf \: 4500 \times \frac{100}{40} [/tex]
[tex] = \sf \frac{450000}{40} [/tex]
[tex] = \sf \: 11,250[/tex]
The price of a share of stock started the day at $20.
During the day it went down $13, up $2, down $8, and then up $5.
Which integer represents the price of a share at the end of the day?
A. 8
B. 20
C. 6
D. 5'
100 points if answered
Answer:
C. 6
Step-by-step explanation:
$20 - $13 + $2 - $8 + $5 =
= $7 + $2 - $8 + $5
= $9 - $8 + $5
= $1 + 5
= $6
Algebra 2 question. Gives 100 points. Please help.
Answer:
x = 4
Step-by-step explanation:
[tex] \sqrt{11x + 5} = 7 [/tex]
Square both sides. This step may introduce extraneous solutions, but we will deal with that after we find the solution.
[tex] (\sqrt{11x + 5})^2 = (7)^2 [/tex]
[tex] 11x + 5 = 49 [/tex]
Subtract 5 from both sides.
[tex] 11x = 44 [/tex]
Divide both sides by 11.
[tex] x = 4 [/tex]
Now we check for extraneous solutions. We substitute the value of the solution into the original equation, and we see if it makes the original equation true.
[tex] x = 4 [/tex]
[tex] \sqrt{11x + 5} = 7 [/tex]
[tex] \sqrt{11(4) + 5} = 7 [/tex]
[tex] \sqrt{44 + 5} = 7 [/tex]
[tex] \sqrt{49} = 7 [/tex]
[tex] 7 = 7 [/tex]
7 = 7 is a true equation; therefore, our solution, x = 4, is not an extraneous solution and is the correct solution of the given equation.
Answer: x = 4
2. B.C.E. is the same as... A. Before Christ C. Anno Domini B. After Death D. Before Christmas
Answer:
Before Christ
Step-by-step explanation:
While in the past it was before Christ, its been moving to Before the Common Era
Pls mark as brainliest
if r = 3h and V = 1/3πr^2h, solve for r in terms of V.
Answer:
[tex]r=\sqrt[3]{\frac{9V}{\pi}}[/tex]
Step-by-step explanation:
[tex]r=3h \implies h=r/3 \\ \\ V=\frac{1}{3}\pi r^2(r/3) \\ \\ =\frac{\pi}{9} r^3 \\ \\ \frac{9V}{\pi}=r^3 \\ \\ r=\sqrt[3]{\frac{9V}{\pi}}[/tex]
Complete the description of the piecewise function graphed below.
-7 -6 -5 -3-2
+
+
{
12
{ -5
f(x) = {4
•
X
Question Help: Video Message instructor
if -6 ≤ x ≤ - 2
if
-2 < x≤ 3
if
3 < x≤6
Answer:
kundi laga lo saiyan!!!
Which is a characteristic of the line that passes through points 6,10 and 12,7
Answer:
linear equations option a
5 Copy and complete these statements.
a √400=√x 100) = √√√√= x 10 =
=
We are struggling… assume 1st let of the statement is square root of 400 = 4x100… which equal square root 2x10… then ???
Given data,
First take work sheet 4.
[tex]\sqrt{16}[/tex]Based on the given conditions formulate :
= [tex]\sqrt{16}[/tex]
Factor and rewrite the radicand in exponential form,
= [tex]\sqrt{4^{2} }[/tex]
Simplify the radical form,
= 4
Therefore, [tex]\sqrt{16} = 4[/tex]
[tex]\sqrt{49}[/tex]Based on the given conditions formulate :
= [tex]\sqrt{49}[/tex]
Factor and rewrite the radicand in exponential form,
= [tex]\sqrt{7^{2} }[/tex]
Simplify the radical form,
= 7
Therefore, [tex]\sqrt{49} = 7[/tex]
[tex]\sqrt{25}[/tex]Factor and rewrite the radicand in exponential form,
= [tex]\sqrt{5^{2} }[/tex]
Simplify the radical form,
= 5
Therefore, [tex]\sqrt{25} = 5[/tex]
[tex]\sqrt{144}[/tex]Factor and rewrite the radicand in exponential form,
= [tex]\sqrt{12^{2} }[/tex]
Simplify the radical form,
= 12
Therefore, [tex]\sqrt{144} = 12[/tex]
[tex]\sqrt{100} +\sqrt{49}[/tex]Factor and rewrite the radicand in exponential form,
= [tex]\sqrt{10^{2} } +\sqrt{7^{2} }[/tex]
Simplify the radical form,
= 10+7
= 17
Therefore, [tex]\sqrt{100} +\sqrt{49} = 17[/tex]
[tex]\sqrt{196}[/tex]Factor and rewrite the radicand in exponential form,
= [tex]\sqrt{14^{2} }[/tex]
Simplify the radical form,
= 14
Therefore, [tex]\sqrt{196} = 14[/tex]
[tex]3^{2}[/tex] x [tex]\sqrt{121}[/tex]Factor and rewrite the radicand in exponential form,
= [tex]3^{2}[/tex] x [tex]\sqrt{11^{2} }[/tex]
Simplify the radical form,
= 9 x 11
= 99
Therefore, [tex]3^{2}[/tex] x [tex]\sqrt{121} = 99[/tex]
[tex]\sqrt{169}[/tex] x [tex]\sqrt{36}[/tex]Factor and rewrite the radicand in exponential form,
= [tex]\sqrt{13^{2} }[/tex] x [tex]\sqrt{6^{2} }[/tex]
Simplify the radical form,
= 13 x 6
= 78
Therefore, [tex]\sqrt{169}[/tex] x [tex]\sqrt{36} = 78[/tex]
[tex]\sqrt{16}[/tex] x [tex]\sqrt{25}[/tex]Factor and rewrite the radicand in exponential form,
= [tex]\sqrt{4^{2} }[/tex] x [tex]\sqrt{5^{2} }[/tex]
Simplify the radical form,
= 4 x 5
= 20
Therefore, [tex]\sqrt{16}[/tex] x [tex]\sqrt{25}[/tex] = 20
Given data,
First take work sheet 5.
[tex]\sqrt{400} = \sqrt{4*100} = \sqrt{4} *\sqrt{100} = 2 * 10 = 20[/tex]Therefore,
[tex]\sqrt{400} = 20[/tex]
[tex]\sqrt{2500} =\sqrt{25 * 100} =\sqrt{25} *\sqrt{100} = 5 * 10= 50[/tex]Therefore,
[tex]\sqrt{2500} = 50[/tex]
[tex]\sqrt{6400} =\sqrt{64 * 100} =\sqrt{64} *\sqrt{100} = 8 * 10 = 80[/tex]Therefore,
[tex]\sqrt{6400} = 80[/tex]
[tex]\sqrt{900} =\sqrt{9 * 100} =\sqrt{9} *\sqrt{100} = 3 * 10= 30[/tex]Therefore,
[tex]\sqrt{900} = 30[/tex]
Hence,
[tex]\sqrt{16} = 4\\\sqrt{49} = 7\\\sqrt{25} = 5\\\sqrt{144} = 12\\\sqrt{100} + \sqrt{49} = 17\\\sqrt{196} = 14\\[/tex]
[tex]3^{2}[/tex] x [tex]\sqrt{121}[/tex] = 99
[tex]\sqrt{169}[/tex] x [tex]\sqrt{36}[/tex] = 78
[tex]\sqrt{16}[/tex] x [tex]\sqrt{25}[/tex] = 20
[tex]\sqrt{400} = 20\\\sqrt{2500} = 50\\\sqrt{6400} = 80\\\sqrt{900} = 30[/tex]
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Which of the following
is the inverse of y = 3^x
Answer: f-1(x) = 1/3x.
Step-by-step explanation:
The inverse of y = 3x is f-1(x) = 1/3x.
To find the inverse, interchange the variables and solve for y
f ^− 1 (x) = In(x)/In(3)
You have a carry-over balance of $325 of credit card charges with no additional charges and you plan to just pay the minimum payment each month for the next two months. The Annual Percentage Rate (APR) is 14.99% and the minimum payment each month is 4% of the balance. Determine the finance charge, new balance, and minimum payment required for each of the next two months, and the carry over balance for month 3 in the table below:
(round all answers to the nearest cent)
Month Carry Over Balance Finance Charge New Balance Minimum Payment
1 325.00
2
3
Month Balance Finance Charge New Balance Minimum Payment
1 $325 $4.06 $316.06 $13.00
2 $316.06 $3.95 $307.37 $12.64
3 $298.92 $3.84 $298.92 $12.29
What is effective monthly interest rate to be used in determining the finance charge?
The effective monthly interest rate is determined as the annual interest rate of 14.99% divided by 12 months
effective monthly interest rate=14.99%/12
effective monthly interest rate=0.0124916666666667
Month 1:
finance charge=$325*0.0124916666666667
finance charge=$4.06
minimum payment=$325*4%=$13.00
new balance=$325+$4.06-$13.00
new balance=$316.06
Month 2:
finance charge=$316.06*0.0124916666666667
finance charge=$3.95
minimum payment=$316.06*4%=$12.64
new balance=$316.06+$3.95-$12.64
new balance=$307.37
Month 3:
finance charge=$307.37*0.0124916666666667
finance charge=$3.84
minimum payment=$307.37*4%=$12.29
new balance=$307.37+$3.84-$12.29
new balance=$298.92
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MAKE CONNECTIONS The height h of a balloon, in feet, t seconds after it is released is given by the function h(t)=2t+6
A What is the Hight of the balloon right before released how do u know
_____ feet
t=_____ before the balloon was released and h(____)=______
Part B
d. Are there any restrictions on the values of t that can be used as inputs for the function? If so, how would this affect the graph of the function? Explain.
The values of t must be _____ because a ___ does not make sense for the given situation and would start at the _____ and only go to the _____
Using the given linear function, it is found that:
a) The initial height of the balloon is of 6 feet, as before the balloon was released t = 0 and h(0) = 6.
b) The values of t must be greater than or equal to 0, because a negative time does not does not make sense for the given situation. The graph would start at the origin and would only go to the right, in a positive direction.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For this problem, the linear function is:
h(t) = 2t + 6.
From the y-intercept, it is found that:
The initial height of the balloon is of 6 feet, as before the balloon was released t = 0 and h(0) = 6.
Since time cannot be negative, the domain is t ≥ 0, and:
The values of t must be greater than or equal to 0, because a negative time does not does not make sense for the given situation. The graph would start at the origin and would only go to the right, in a positive direction.
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kindly assist in answering these question
The measure of angle c is 37 degrees and the measure of angle b is 53 degrees
What are angles?Angles are formed when two or more lines intersect.
This in other words means that angles is the measure of space between the intersection of rays or lines
How to determine the measures of the angles?The measure of angle c
The given triangles are similar triangles
This means that the corresponding angles of the triangles are congruent
By comparing the corresponding angles of the given triangles, we have the following congruent equation
Angle c = 37
Hence, the measure of angle c is 37 degrees
The measure of angle b
As mentioned in part (a)
This means that the corresponding angles of the triangles are congruent
By comparing the corresponding angles of the three triangles, we have the following congruent equation
Angle b = 53
Hence, the measure of angle b is 53 degrees
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Karoline needs to jog 30.5 miles over the next 7 days to train for a race.
She plans to jog 4.25 miles each day.
Use the drop-down menus to complete the statements about her race training
Answer:
If she plans to jog 4.25 miles each day then 4.25 * 7 would equal 29.75. This is the first answer.
In order to get the second answer, we need to subtract 30.5 (What she needs to jog) over 29.75 (how much she is planned to job over the next 7 days). So 30.5 - 29.75 = 0.75
Here is the math I did to get 0.75:
= 30.5 - 29.75
= 30.5 + -29.75
= 0.75 (Answer)
Hopefully this helped :D
Step-by-step explanation:
What is the value of x that makes the given equation true?
x − 3x = 2 (4+x)
x = − 4
x = − 3
x = − 2
x = − 1
Answer:
-2
Step-by-step explanation:
[tex]x-3x=2(4+x) \\ \\ -2x=2(4+x) \\ \\ -x=4+x \\ \\ -2x=4 \\ \\ x=-2[/tex]
Someone please help
Answer:
4/3 (x) = 28/3
*divide both sides by 4/3
4/3 (x) ÷ 4/3 = 28/3 ÷ 4/3
x = 7
Solve for x: y=2/3x+5
The volume of a cube is 500 m^3.
How long is each edge?
BRAINLIST FOR ANYONE WHO GETS IT RIGHT PLS HURRY
The edge length of the cube is a approximately 8.
According to the statement
We have to find that the edge of the cube.
So, For this purpose, we know that the
The edge of a cube is the line segment joining the two vertices.
From the given information:
The volume of a cube is 500 m^3.
The formula for volume of the cube is a :
volume of a cube formula: V = a^3.
v = a^3
500 = a^3
Take cube root of the volume to find the edge length
a = (500)^1/3
a = 7.93
a = 8 (approx.)
The length of the edge of the cube is a approximately 8.
So, The edge length of the cube is a approximately 8.
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Carlo is 3 2/3 years older than his sister if his sister us 18 5/6 years old how old is carlo
Answer:
[tex]\sf 22\dfrac{1}{2}\; years[/tex]
Step-by-step explanation:
[tex]\textsf{First convert all mixed fractions to improper fractions: }\\\\3\dfrac{2}{3} = \dfrac{3 \times 3 + 2}{3}= \dfrac{11}{3}\\\\18\dfrac{5}{6 } = \dfrac{18 \times 6 + 5}{6} = \dfrac{113}{6}[/tex]
Let Carlo's age be C
Carlo's age = sister's age + 11/3
[tex]\sf == > C = \dfrac{113}{6} +\dfrac {11}{3}\\\\\textsf{Multiply both sides by 6 to eliminate the denominator}\\\\\sf 6C = 6\cdot\dfrac{113}{6} + 6\cdot\dfrac {11}{3}\\\\[/tex]
[tex]\sf == > C = \dfrac{113}{6} +\dfrac {11}{3}\\\\\textsf{Multiply both sides by 6 to eliminate the denominator}\\\\\sf 6C = 6\cdot\dfrac{113}{6} + 6\cdot\dfrac {11}{3}\\\\\sf 6C = 113 + 22 = 135\\[/tex]
[tex]\textsf {Divide both sides by 6}\\\\\sf C = \dfrac{135}{6} \\\\\textsf {Reduce $\dfrac{135}{6}$ by dividing numerator and denominator by 3}\\\\== > C = \dfrac{135 \div 3}{6\div3} = \dfrac{45}{2}[/tex]
[tex]\textsf{So Carlo's age is $\dfrac{45}{2}$ or $22\dfrac{1}{2}$ years}[/tex]
Perform the indicated operation. (-7) · (-5)
Answer:
1/(2 – 4i)
Explanation:
Use geeksforgeeks.org or another website
Please help me solve this problem! Use the drop-down menus below to state the sequence of transformations that maps Figure Y onto Figure Z in the animation below. Then use those transformations to determine: are the two figures congruent?
The transformations that maps Figure Y onto Figure Z are given by:
Dilation with a scale factor of 1/3.Reflection over the x-axis.Due to the dilation, Figures Y and Z are not congruent.What is a transformation in a function?A transformation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s range(involving values of y) or in it’s domain(involving values of x).
Examples are shift left, shift right, shift down, shift up, vertical stretching, horizontal stretching, vertical compression, horizontal compression, reflection over the x-axis, reflection over the y-axis, and rotations by a determined amount(in degrees). All these translations have predetermined rules that we apply to the figures.
Another example of a transformation is a dilation, when the coordinates of the function are all multiplied by a constant, called scale factor. Due to the multiplication, after a dilation, the dilated figure is not congruent to the original figure, as they will have different side lengths.
For the dashed figure, we have that the coordinates of Y were all multiplied by 1/3, hence the first transformation is:
Dilation with a scale factor of 1/3.
Then for the dashed figure into Figure Z, the following rule is applied to each vertex:
(x,y) -> (x,-y).
Hence the second transformation is:
Reflection over the x-axis.
Due to the dilation, Figures Y and Z are not congruent.
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WILL GIVE BRAINLIEST PLEASE HELP ASAP!!
You are solving a measurement problem where the numbers 4.5160 x 10^−3, 2.09 x 10^7, and 5.8 x 10^3 are multiplied. How many significant digits should the product have?
A. 2
B. 1
C.5
D. 3
The number of significant digits: 2
The correct answer is an option (A)
In this question, we have been given three numbers 4.5160 x 10^−3, 2.09 x 10^7, and 5.8 x 10^3
We need to find the number of significant digits of the product of above numbers.
First we find the product of given numbers.
4.5160 x 10^−3 × 2.09 x 10^7 × 5.8 x 10^3
= (4.5160 × 2.09 × 5.8) × (10^−3 × 10^7 × 10^3)
= 54.742952 × 10^(-3 + 7 + 3)
= 54.7 × 10^7
= 5.5 × 10^8
Here, the number of significant digits: 2
The correct answer is an option (A)
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When should you use dot plots & why
Dot plots are used for continuous, quantitative, and univariate data, because they are helpful in identifying clusters and gaps, in addition to outliers, which is one of their primary functions.
This is further explained below.
When should you use dot plots & why?Generally, Dot plots are used for continuous, quantitative, univariate data. It could be possible to identify the data points if there are just a few of them.
Dot plots are one of the most fundamental forms of statistical plots, and they are most beneficial when used in the presentation of data from collections ranging from extremely tiny to relatively large.
In conclusion, In addition to performing one of their core purposes, which is spotting outliers, they also do a good job of locating clusters and gaps in the data.
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Write the equation in slope intercept form of the line that is parallel to the group in each equation and passes through the given point 7. y=-2x + 5; (3,-7)
Answer:
The equation in slope intercept form of the line that is parallel to the group in each equation and passes through the given point (3,-7) is y = -2/7x - 6.14
Step-by-step explanation:
It is given that the line that is parallel to the group in each equation and passes through the given point 7y= -2x + 5; (3,-7) and we need to write the equation in slope intercept form of the same line.
Now,
The slope of parallel lines is the same. By changing the equation to slope-intercept form, get the slope in the first line;
=> 7y= -2x + 5
=> y= -2/7x + 5/7
So, the slope = -2/7
Further,
Given the point and the knowledge that the second line would similarly have a slope of -2/7 and the point is (3, -7). With these numbers, we can construct an equation in the slope-intercept form and apply it to get the y-intercept;
=> y = mx + b
=> -7 = -2/7 × 3 + b
=> -7 + 2/7 × 3 = b
=> b = -6.14
Now, put the value of y-intercept back into the equation;
=> y = -2/7x - 6.14
Therefore, the equation in slope intercept form of the line that is parallel to the group in each equation and passes through the given point (3,-7) is y = -2/7x - 6.14
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Given that f(x) = x-5, g(x)=-4x and h(x)=2f(x+1)-g(x-2), then what is the value of h(4)?
hi
f(x) = x-5, then f(5) = 0
g(x)=-4x . g(2) = -4*2 = -8
and
h(x)=2f(x+1)-g(x-2)
then
h(4) = 2* 0 - (-8) = 8
find a pattern for a sequence 17, 13, 9, 5,
Answer: an=21-4n
Step-by-step explanation:
17, 13, 9, 5, ...
13-17=-4
9-13=-4
5-9=-4
This sequence is an arithmetic progression a₁=17 d=-4
Hence,
[tex]a_n= a_1+(n-1)d\\\\a_n=17+(n-1)(-4)\\\\a_n=17-4n+4\\\\a_n=21-4n,\ \ \ \ n=1, 2, 3, 4, ...[/tex]
HELP ASAP
When going from smaller to bigger, in the metric system do you divide or multiply?
Answer: When converting a larger unit to a smaller one, you multiply; when you convert a smaller unit to a larger one, you divide.
Step-by-step explanation: im bad at explaining XD
Answer:
Multiply!
Step-by-step explanation:
When going by the metric system you multiply because, dividing would make you go smaller!
Have a great afternoon! :D
State the property illustrated in the equation:
26 x (4x x y) = (26 × 4x) x y
O commutative property of multiplication
O property of multiplicative inverses
O associative property of multiplication
d
O distributive property
Answer:
O commutative property of multiplication
Step-by-step explanation:
Let's solve for x.
26(4xy)=(26)(4)xy
Step 1: Add -104xy to both sides.
104xy+−104xy=104xy+−104xy
0=0
It doesn't matter what order the numbers are multiplied in (commutative property), the result of multiplying 0 by anything (or anything by 0) is 0. No matter the type of number, whether it be an integer, fraction, decimal, or even imaginary, the product of that number and 0 is 0.
hey theyre help me please
Answer:
15
Step-by-step explanation:
because it's diving the 2nd role number and that equals the numbers on the 3rd role so u do the inverse and u get 15
The Bryant family and the Parker family each used their sprinklers last summer. The Bryant family's sprinkler was used for 25 hours. The Parker family's
sprinkler was used for 40 hours. There was a combined total output of 1800 L of water. What was the water output rate for each sprinkler if the sum of the two
rates was 60 L per hr
The water output rate for Bryant family is 40L/hr and parkar family is sprinkler 20L/hr.
As in the given problem The Bryant family's sprinkler was used for 25 hours. let water output rate of bryant family is x L/hour.Thus total water output is 25*x L.
The Parker family's sprinkler was used for 40 hours.let water output rate of parker family is y L/hr.Total water output is 40*y L.
Thus 25*x+40*y=1800
and x+y=60
25x+25y=1500
solving linear equation we get y=20 L/hr
Thus x=60-20=40 L/hr.
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