Answer:
-8
Step-by-step explanation:
(2)(-8)/2 convert it to a fraction and use fraction bar.
-16/2 = -8 Multiplication first then division
Note order of operations Division or multiplication which ever is first. also because the top of the fraction has parentherses do that first.
The following ordered pairs represent a relation.
{(1,3) , (5,15) , (2,6), (4,12) , (3,9)}
What are the range values from least to greatest!
A.) {3}
B.) {3, 15, 6, 12, 9}
C.) {3, 6, 9, 12, 15}
D.) {1, 5, 2, 4, 3}
Answer: its C because when you put it in order you should easily find it in the question. So, 1, 2, 3, 4, 5, 6, 9, 12, 15 is the full order but C is the closest answer to the question. Hope its right!
A pizza shop charges nine dollars for a large cheese pizza. additional toppings cost $1.25 per topping. heather paid $15.25 for her large pizza. how many toppings that you order
An amusement park offers a ticket for $12.95 off the original price p. Write and solve an equation to find the original price
The original price of a ticket is a $56.95.
According to the statement
We have to find that the linear equation.
So, For this purpose, we know that the
The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.
From the given information:
An amusement park offers a ticket for $12.95 off the original price p.
Then
Discounted price is that the amount of sum that extracted from the initial price when buyers receive some style of leverage from the vendor. during this case, discounted price of the ticket is $44 which was $12.95 but the initial price.
Then the first price would be:
$44 + $12.95 = $56.95
So, The original price of a ticket is a $56.95.
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The table below shows the recorded temperature on a certain day starting at 6:00 am
PLS HELPPPPP
Answer:
A) y = 2.91x + 64.61 with x hours after 6:00 am
B) at 2:00pm, temperature is 87.89°
Step-by-step explanation:
(>>Regression Equation y = bx + a )With b- Sum of products/Sum of Square = sq/SSx. a = My- bMx,)
set 6.00 am is an original time, when x = 0
use the unit: hour to get a new table
X time 0, 0.75, 1.5, 2.5, 3, 3.75, 4.5, 5
Y temp 65°, 67", 68° ,72° ,74", 75° ,77° ,78°
a). with temperature y and x hour after 6:00 am,
can get Sum of x = 21 Mx = 2.63
Sum of - 578 My = 72.25
SSx = Sum of (X-Mx)² = 22.25
= sum of (X-Mx)(}-My)= 64.75
So b= sq/SSx =64.75/22.25 = 2.91
a= My- bMx = 72.25 - 291 x 2.63 = 64.61
So regressing equation Y= 2.91x + 64.61
b). at 02:00 pm , means 8 hours after 6:00 am
meaning X-8, )= 2.91×8 + 64.61 = 87.8)
The required equation of regression is y = 2.91x + 64.6 and at 2.00 pm temperature is 87.8°
Given that,
The table shows the recorded temperature on a certain day starting at 6:00 am.
The equation is the relationship between variables and is represented as y =ax +b is an example of a polynomial equation.
Here,
The standard form of the regression equation,
y = bx + a,
where b = sum of product/sum of squares a = My - bMx
Since
b = 2.91 , My = 72.25, Mx = 2.63
a = 72.25 - 2.91 * 2.63
a = 64.6
The required regression equation is,
y = 2.91x + 64.6
B)
For 2.00 PM, x = 8
Now,
y = 2.91 * 8 + 64.6
y = 87.8°
Thus, the required equation of regression is y = 2.91x + 64.6 and at 2.00 pm temperature is 87.8°
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Identify the like terms in the list.
15x 2, 17x, 12x 3, 3x
17x and 3x
15x2 and 12x3
15x2 and 3x
12x3 and 3x
Answer:
17x and 3x
Step-by-step explanation:
like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power.
Describe the following characteristics of the graph of each
parent function: domain, range, intercepts, symmetry,
continuity, end behavior, and intervals on which the graph is
increasing/decreasing. (Example 1)
2. f(x) = /1
5. f(x) = c 6. f(x) = x
1. f(x) = [x]
4. f(x) = x4
3. f(x) = x³
Step-by-step explanation:
-by-step explanation:
y=\frac{2}{x+1}-3y=
x+1
2
−3
asymptotes:
x+1 = 0
x = -1
y = -3
asymptotes: x = -1, y = -3
x int: (-\frac{1}{3}, 0)(−
3
1
,0)
y int: (0, -1)
D: (-infinity, -1) (-1, infinity) x cannot be -1
R: (-infinity, -3) (-3, infinity) y cannot be -3
A figure has two pairs of parallel sides and four right angles. The figure is translated 4 units down. How many parallel sides does the image have?
Answer:
4
Step-by-step explanation:
because if it has two Pairs that's 2 on each side of the side of the shape
so, when you have a figure of 2 parallel sides id would be a parallelogram
Write each logarithmic expression as a single logarithm.
5 log₇2-2 log₇y
Expression as a single logarithm of 5 log₇2-2 log₇y is Log (2x/3y).
What is natural logarithm?Log a + Log b = Log ab
Log a - Log b = Log (a/b)
so starting with the bracket, we have;
Log 2 + Log X - Log 3y
Furthermore, we have;
Log 2x - Log 3y
Finally, we have;
Log (2x/3y)
The inverse of an exponential function, the natural log is the logarithm to the base of the number e. Natural logarithms are unique varieties of logarithms that are employed in the treatment of time and growth-related issues.
The distinction between log and ln is that log is expressed in terms of base 10, while ln is expressed in terms of base e. As an illustration, log of base 2 is denoted by log2 and log of base e by loge = ln (natural log).
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All 385 tickets for a high-school play sold in 10 days. The ticket receipts totaled $ 1960 . If the cost of a child's ticket was $ 4 and the cost of an adult's ticket was $ 6 , how many adult tickets were sold?
Adult tickets that were sold were 210 .
Let the no. of children be x and no. of adults be y .
According to ques .
x + y = 385 - eq 1
4 x + 6 y = 1960 - eq 2
Solving linear equation in 2 variable by method of substitution ,
multiply - eq 1 by 4 ,
4 x + 4 y = 1540 - eq 3
multiplying - eq 3 by - 1
- 4 x - 4 y = - 1540 - eq 4
Adding - eq 2 and - eq 4
2 y = 420
y = 210
Hence , 210 adult tickets were sold .
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what’s 9/9^4 simplified
Answer: 9/9^4 in Simplest form is 1 / 729
A stock decreases $11 a day for 5 days. Which integer represents the total decrease?
Group of answer choices
55
-16
16
-55
Answer:-55
Step-by-step explanation:
-11 times 5= -55
The denominator of a fraction is 2 more than its numerator. the reciprocal of this fraction is equal to the fraction itself. what is the sum of the numerator and denominator
Answer:
0
Step-by-step explanation:
You want the sum of numerator and denominator such that their difference is 2 and the reciprocal is equal to the original fraction.
SetupWe want a fraction such that ...
x/y = y/x
y = x +2
SolutionSubstituting for y, we have ...
x/(x +2) = (x +2)/x
x^2 = x^2 +4x +4 . . . . . cross multiply
0 = 4(x +1) . . . . subtract x^2, factor
x = -1 . . . . . . . . the value of x that satisfies the equation
Then the denominator is ...
y = x +2 = (-1) +2 = 1
The sum is ...
x +y = (-1) +1 = 0
The sum of numerator and denominator is zero (0).
8/15% into a fraction
Answer:
2/375
Step-by-step explanation:
We can multiply 8/15 by 1/100 to get
[tex]\frac{8}{15} *\frac{1}{100}=\frac{8}{1500}[/tex]
Now we simplify this fraction into simplest form.
2/375
Divide and simplify. 4√162 x⁴ / 4√2 y⁸
After dividing and simplifying the expression 4√162 x⁴ / 4√2 y⁸, we get the result as 9 x ² / y⁴.
We are given the expression
4√162 x⁴ / 4√2 y⁸
We need to divide the expression and simplify it.
First, cancelling the terms that are same in the numerator and the denominator:
√162 x⁴ / √2 y⁸
Now , using the properties of the exponents, we get that:
= √81 x² / y⁴
= 9 x ² / y⁴
Therefore, after dividing and simplifying the expression 4√162 x⁴ / 4√2 y⁸, we get the result as 9 x ² / y⁴.
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Answer all of these with work please
Here we need to evaluate some mathematic expressions in some given values, we will get:
3x- 4 is equal to 17 when x = 7.
-5x + 8 is equal to -7 when x = 3.
How to evaluate expressions?Here we have some expressions that we need to evaluate. Evaluating an expression means that we replace the variables (usually denoted by letters) with numerical values.
The first expression is:
3x- 4
And we we want to evaluate it in x = 7.
So just replace the x by the number 7 and then do the operations:
3*7 - 4 = 21 - 4 = 17
The expression is equal to 17 when x = 7.
Now let's do it again for second expression:
-5x + 8 with x = 3.
Replacing the variable by the number we get:
-5*3 + 8 = -15 + 8 = -7
So that is the basic procedure to evaluate mathematic expressions.
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Toby picks a 6-digit number.
It is larger than 599,999 and it is a multiple of 5.
How many different numbers could he have picked?
Answer:
80,000 numbers.
Step-by-step explanation:
Since the number is 6-digits and is larger than 599,999, it would be between 600,000 and 999,999.
Between those two numbers (included), there are [tex]999999 - 600000 = 399999[/tex] numbers.
In addition, we know that the number is a multiple of 5. Therefore, we should divide this number by 5 to find how many of the numbers in that group are divisible by 5.
Since it's difficult dividing 399,999 by 5, I would divide 400,000 by 5, as we must also include 600,000.
[tex]\frac{400000}5 = 80000[/tex]
-3x = -12 need to know the answer because I'm late for my homework
Answer: 4
Step-by-step explanation: Divide both sides by -3 so the x is by itself. When you divide both sides by -3, you get x =4.
Answer:
4
Step-by-step explanation:
Divide -3 on both sides so that x is by itself
-3x = -12
-3 -3
-3 is cancelled out
-12 divided my -3 is 4
Since both numbers are negative it would end up positive.
If the numbers are both positive then it would be positive as well.
And if one number is positive and the other is negative then the answer would be negative.
The answer would be: 4
I hope it helps! Have a great day!
Solve each equation.
log₈2=x
The value of x for the equation log₈2=x is 0.333
What are the properties of logarithmic functions?Logarithmic function properties. You have encountered several characteristics during your study of algebra, including the commutative, associative, and distributive properties. These characteristics make it easier to simplify a complex statement or equation. With logarithms, the same holds true.
Given,
log₈2=x
It can be expressed in the form -
2 = 8ˣ
2 = 2³ˣ
As base is same -
1 = 3x
x = 1/3
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15 = 1/2 + 3/2x + 10
Answer:
x=3
Step-by-step explanation:
The distance from Houston to San Antonio is 197 miles. If one mile is approximately 1.6 kilometers, how many kilometers represents the distance between the two cities?
123.13 km
320 km
315.2 km
194.4 km
Solve each equation. Check your answers. 3 ln x+ ln 5=7
The solution 'x' of the expressed logarithmic expression is 17.65.
What exactly is the logarithmic expression?A logarithmic equation one in which the variable x contains a logarithm.
The variable in an exponential formula is signified by an exponent. To solve exponential equations, first see if both sides of the equation can be presented as powers of the same number. Because unless you can't, start taking the common logarithm of both equation sides and solve the problem using property 7.
Quotient Rule: ㏒(A/B) = ㏒A - ㏒BProduct Rule : ㏒A + ㏒B = ㏒(AB)Power Rule: n㏒A = ㏒AⁿExponent Rule = e∧lnx = xNow, as per the stated log expression;
3 ln x + ln 5 = 7
Apply the Power Rule on the first term of the given equation;
ln x³ + ln 5 = 7
Now, by the Product Rule, we can re-write the equation in the form;
ln (x³×5) = 7
ln (5x³) = 7
Using the exponent form of the log on both side.
e∧ln (5x³) = e⁷
As, we have the same base for the obtained expression. Use the exponent rule;
(5x³) = e⁷
x³ = e⁷/5
Substitute the value of exponent e = 2.72
x³ = (2.72)⁷/5
x³ = 5507.5
Take cube root on both side;
x = 17.65
Thus, solution for the value of 'x' for expressed logarithmic expression is 17.65.
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Triangle ABC with coordinates A (2, 4),
B (3, 6), and C (5, 1) is translated
4 units horizontally.
Triangle ABC with coordinates A (2, 4),
B (3, 6), and C (5, 1) is translated
4 units horizontally is (6,4), (7,6) ,( 1,9)
A triangle is a basic polygon with three sides and three internal angles. It is one of the fundamental shapes in geometry in which the three vertices are connected together, and it is represented by the symbol. Triangles are categorized into many sorts based on their sides and angles. All geometrical shapes have unique qualities relating to sides and angles that aid in their identification. The following are some of the most important qualities of a triangle.
There are three sides, three vertices, and three internal angles in a triangle.
The angle sum property of a triangle asserts that the sum of a triangle's three internal angles is always 180°. Consider the triangle PQR shown above .
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find angle measure GRS if QRS=179 and QRG= 105
Answer:
∠ GRS = 74°
Step-by-step explanation:
∠ GRS + ∠ QRG = ∠ QRS , that is
∠ GRS + 105° = 179° ( subtract 105° from both sides )
∠ GRS = 74°
Answer:
75°
Step-by-step explanation:
While it may appear that QRS is a straight line, it is not so since m∠QRS = 179° and if it was a straight line, it would be 180°
The figure actually represents three rays with endpoint at R
The three rays are RQ, RS and RG
Draw another ray RT with endpoint at R and opposite to ray RG. Opposite rays have angles that add up to 180°
Therefore m∠GRT = 180°
m∠SRT = m∠QRG since they are opposite angles
Since m∠QRG = 105°, therefore m∠SRT = 105°
m∠GRS + m∠SRT=180° since these angles are formed by two opposite rays
Substituting we get
m∠GRS + 105 = 180
m∠GRS = 180-105 = 75°
Find the inverse of each function. Is the inverse a function?
y=2 x³+10
The inverse of the fuction y=2x³+10 is y = [tex]\sqrt[3]{\frac{x-10}{2} }[/tex].
What is an inverse variation exactly?Inverse variation describes a relationship between two variables in which one increases while the other decreases.Indirect or inverse variation occurs when two quantities, say X and Y, are related in such a way that increasing X causes a decrease in Y and vice versa.So,
All we have to do to find the inverse of an equation is switch the variables x and y.
x = 2y³ + 10Now, solve for y as follows:
2y³ = x - 10y³ = (x-10)/2y = [tex]\sqrt[3]{\frac{x-10}{2} }[/tex]Therefore, the inverse of the fuction y=2x³+10 is y = [tex]\sqrt[3]{\frac{x-10}{2} }[/tex].
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Suppose that the function f is defined, for all real numbers, as follows.
Find f(−4), f(−2), and f(3).
The values of f(−4), f(−2), and f(3) for given piecewise function are 0, -4, and -3.5 respectively.
What is piecewise function ?
Whenever the summation of two functions is different over different intervals, the sum is a piecewise function.
Here, the given piecewise function f(x) is :
[tex]\begin{aligned}f(x)&=\left\{\begin{matrix}\frac{-1}{2}x-2 \text{ if} \:x \neq -2&\\-4 \:\:\:\:\:\:\;\;\text{ if }x = -2\end{matrix}\right.\end{aligned}[/tex]
Now, let us find the value of f(-4) :
for x = -4 the function f(x) is (-1/2)x -2, substituting x = -4 in place x :
f(x) = (-1/2)x - 2
f(-4) = (-1/2)*(-4) - 2
f(-4) = 2 - 2
f(-4) = 0
similarly, for f(-2) :
for x = -2 the function f(x) is -4 only that is :
f(-2) = -4
For, let us find the value of f(3) :
for x = 3 the function f(x) is (-1/2)x -2, substituting x = 3 in place x :
f(x) = (-1/2)x - 2
f(3) = (-1/2)*(3) - 2
f(3) = -3/2 - 2
f(3) = - 3.5
Therefore, the values of f(−4), f(−2), and f(3) are 0, -4, and -3.5 respectively.
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2a - 3=15 What is the answer
Answer:
a = 9
Step-by-step explanation:
Step 1: Add 3 to both sides
2a – 3 = 15
2a – 3 + 3 = 15 + 3
Step 2: Simplify
add the numbers ( 2a = 18 )
Step 3: Divide both sides by the same factor
2a = 18
2a 18
––– = –––
2 2
Step 4: Simplify
l
Cancel the terms that are in both the numerator and the denominator
l
l
Divide the numbers
l
a = 9
Answer: a = 9
help me out with this
Answer:
The graph of g(x) = -|x| - 8.
Which expression is equivalent to quantity y raised to the negative third power times z raised to the fifth power end quantity over quantity z raised to the negative fourth power times y raised to the sixth power end quantity all raised to the negative second power?
WHOEVER GETS IT RIGHT GETS A CROWN!!
The expression is equivalent to quantity y raised to the negative third power times z raised to the fifth power end quantity over quantity z raised to the negative fourth power times y raised to the sixth power end quantity all raised to the negative second power is [tex]z^{-18}.y^{18}[/tex] .
The given expression is [tex](\frac{y^{-3}.z^5}{z^{-4.y^6}} )^{-2}[/tex]
Let us take the numerator terms to denominator.
When shifting numerator terms to denominator the sign of the power will be changed.
[tex](\frac{1}{z^{-4.y^6.y^{3}.z^{-5}}} )^{-2}[/tex]
Combine like terms in denominator:
[tex](\frac{1}{z^{-9}.y^9} )^{-2}[/tex]
[tex](z^9.y^{-9})^{-2}[/tex]
[tex]z^{-18}.y^{18}[/tex]
Hence, [tex]z^{-18}.y^{18}[/tex] is equivalent to quantity y raised to the negative third power times z raised to the fifth power end quantity over quantity z raised to the negative fourth power times y raised to the sixth power end quantity all raised to the negative second power.
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find the value of x and 6
Answer:
x + 6 = -6
Step-by-step explanation:
Assuming x = -6
[tex]x+6=0[/tex]
Subtract 6
[tex]x+6-6=0-6[/tex]
Simplify arithmetic
[tex]x=0-6[/tex]
Simplify arithmetic(again)
[tex]x=-6[/tex]
we technically solved the equation right at the beginning when we assumed x was equal to -6 in order to group the constants to the right.
Hope this helps, have a great day!
Quadrilateral A has a side lengths 6, 9, 9, and 12. Quadrilateral B is a scaled copy of Quadrilateral A, with its shortest side of length 2. Draw a sketch of Quadrilateral A or make a chart.
Sides of Quadrilateral A is 6, 9, 9 and 12.
It is given that Quadrilateral B is a scaled copy of Quadrilateral A,
and have shortest side = 2
To find the length of sides of quadrilateral, first we will find the ratio of the shortest side of quadrilateral A to that of quadrilateral B as shown below :
B : A = 2 : 6 = 1 : 3
This shows that the quadrilateral B is 3 times smaller than A.
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