The y -intercept in this situation mean that Jerry was given $75 for his birthday
The equation below is a linear equation.
y = 50x + 75
A linear equation is an equation that has a single variable raised to the power of 1. 50x is raised to the power of 1
75 represents the constant. This is the money he deposited in the account. 75 is the y-intercept. The y-intercept is the value of the line y when it crosses the y-axis
50x is the slope of the line. - 50 is the amount he puts in every month and x represents month.
The slope of a line also known as the gradient of the line determines the steepness and direction of a line. If the slope coefficient is less than zero, the slope is negative and it would decline from left to right
y is the dependent variable. It is the total amount he would have at the end of each month. y depends on the constant term (75), the number of months(x) and the amount he deposits every month (50)
at the end of :
one month, he would have : 50(1) + 75 = 125
two months, he would have : 50(2) + 75 = 175
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Answer:d
Step-by-step explanation:
A cell phone company charges a $36 activation fee and $49 every
month. What is the total cost of the phone after 6 months?
the polygon in each pair are similar.find the missing side length.
the answer should be 8..
HELP PLS ILL MARK BRAINLIEST PLEASEEEEEEEEE
Given f(x) = 3x2 + x and g(x) = 2x. What is lim off(x))?
*--4
44
88
104
188
NEED HELP ASAP 30 POINTS
Answer:
88Step-by-step explanation:
Given the functions
f(x) = 3x² + x and g(x) = 2x
We are to find g(f(x))(-4)
First get g(f(x))
g(f(x)) = g(3x²+x)
Substitute x in g(x) with 3x²+x to have:
g(3x²+x) = 2((3x²+x))
g(3x²+x) = 6x² + 2x
Substitute = -4 into the result
g(f(x) (-4)) = 6(-4)² + 2(-4)
g(f(x) (-4)) = 6(16)-8
g(f(x) (-4)) = 96 - 8
g(f(x) (-4)) = 88
Hence the required answer is 88
What is the congruence theorem used to prove that the two triangles are congruent?
What is the slope of a line perpendicular to 5y + 3x = 15
Answer:
Using the slope-intercept form, the slope is −35 . The equation of a perpendicular line to y=−3x5+3 y = - 3 x 5 + 3 must have a slope that is the negative reciprocal of the original slope.
Find the distance between the points given.
(-3, -6) and (3, 2)
4
V52
10
Answer: The final answer is 10. 10 is the distance between the 2 points given.
Step-by-step explanation:
what is the answer to this solution. -7r−4≥ 4r+2
Answer:
The solution is:
[tex]-7r-4\ge \:\:4r+2\quad \::\quad \:\begin{bmatrix}\mathrm{Solution:}\:&\:r\le \:\:-\frac{6}{11}\:\\ \:\:\mathrm{Decimal:}&\:r\le \:\:-0.54545\dots \:\\ \:\:\mathrm{Interval\:Notation:}&\:(-\infty \:\:,\:-\frac{6}{11}]\end{bmatrix}[/tex]
Please check the attached line graph below.
Step-by-step explanation:
Given the expression
[tex]-7r-4\ge \:4r+2[/tex]
Add 4 to both sides
[tex]-7r-4+4\ge \:4r+2+4[/tex]
Simplify
[tex]-7r\ge \:4r+6[/tex]
Subtract 4r from both sides
[tex]-7r-4r\ge \:4r+6-4r[/tex]
Simplify
[tex]-11r\ge \:6[/tex]
Multiply both sides by -1 (reverses the inequality)
[tex]\left(-11r\right)\left(-1\right)\le \:6\left(-1\right)[/tex]
Simplify
[tex]11r\le \:-6[/tex]
Divide both sides by 11
[tex]\frac{11r}{11}\le \frac{-6}{11}[/tex]
Simplify
[tex]r\le \:-\frac{6}{11}[/tex]
Therefore, the solution is:
[tex]-7r-4\ge \:\:4r+2\quad \::\quad \:\begin{bmatrix}\mathrm{Solution:}\:&\:r\le \:\:-\frac{6}{11}\:\\ \:\:\mathrm{Decimal:}&\:r\le \:\:-0.54545\dots \:\\ \:\:\mathrm{Interval\:Notation:}&\:(-\infty \:\:,\:-\frac{6}{11}]\end{bmatrix}[/tex]
Please check the attached line graph below.
What type(s) of symmetry does the figure have? (Check all that apply.)
Line Symmetry
Rotational Symmetry
None
Answer:
Rotational Symmetry
Step-by-step explanation: It stays the same when rotated
Which expression is equivalent to (4x^4/2x^3)^3?
A) 2x
B) 8x
C) 8x^3
D) 16x^21
Answer:
None are you sure you have the right expressions.
Step-by-step explanation:
(4x^4/2x^3)^3=(2x^4*x^3)^3=(2x^7)^3=8x^21
practice: triangle sum theorem on a piece of paper solve for the variable , then find the missing angles
can someone solve 1 2 and 3 for me please
If r = 12 cm, what is the area of this sector? Express your answer to the nearest tenth of a centimeter.
Answer:
339.3 cm
Step-by-step explanation:
12 • 12 = 144
Find 144π
Find 3/4 of it
Answer:
339.3 to nearest tenth of cm^2.
Step-by-step explanation:
This is 3/4 of a circle so the area is:
3/4 * pi r^2
= 3/4 * 12^2 pi
= 108 pi
= 339.292
A six-sided die is rolled 2 times. What is the fractional probability of rolling a 6 the first time and an even number the second time?
The probability of getting 6 the first time and an even number the second time is 1/12.
what is probability?probability is the quantification of possibilities in numbers.
(1) probability of rolling a 6 for the first time:
total possible outcomes = (1,2,3,4,5,6) =6
sample space = 1
probability of getting 6 = sample space/total possible outcomes
probability of getting 6 = 1/6
2)probability of getting an even number
total possible outcomes will be (1,2,3,4,5,6)
sample space = (2,4,6) ie 3
probability of this = 3/6 = 0.5
total probability = 1/6*0.5 = 1/12
therefore,
The probability of getting 6 the first time and an even number the second time is 1/12.
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Please give me the correct answer
Answer:
[tex]x^2[/tex] = [tex]8^2[/tex] = 64
[tex]15^2[/tex] = 225
[tex]17^2[/tex] = 289
Step-by-step explanation:
Use the Pythagorean theorem to find the unknown side. The Pythagorean theorem states;
[tex]a^{2} + b^{2} = c^{2}[/tex]
Where "a" and "b" are the legs, and "c" is the hypotenuse.
It is given that;
b = 15.
c = 17
a = x
[tex]x^2[/tex] + [tex]15^2[/tex] = [tex]17^2[/tex]
[tex]x^2[/tex] + 225 = 289
[tex]x^2[/tex] = 64
x = 8
To find the area of a square, one has to raise one of the sides to the power of two.
[tex]x^2[/tex] = [tex]8^2[/tex] = 64
[tex]15^2[/tex] = 225
[tex]17^2[/tex] = 289
Simplify the following expression by combining like terms. Then select the
correct answer from below.
2 + 30 – 3+232 +8 - 53
Answer:
216
Step-by-step explanation:
2+30-3+232+8-53
32-3+232+8-53
29+232+8-53
261+8-53
269-53
216
How much times can two go into six
Answer:
3 because if you can only make two groups of three
(and how do you not know this? I really dont want to be rude)
Answer:
3
Step-by-step explanation:
Lela records her bank transactions in her checkbook. The table shows some of her
recent entries. Today, Lela wrote a check for $15 to her mom. How should she record
this amount in her checkbook?
Answer:
B -15
Step-by-step explanation:
Answer:
-15
Step-by-step explanation:
she has -15
Which equation represents a linear function with a slope of 12 and a y-intercept of -15? A. Y=−15x+12 B. Y=−x2+15 C. Y=x2−15 D. Y=2x−15
Answer:
y = 12x-15
Step-by-step explanation:
The equation of a line is given by :
[tex]y=mx+c[/tex]
Where
m is slope and c is y-intecept.
Here, the slope is 12 and y-intercept is -15.
Then the equation is :
y = 12x+(-15)
or
y = 12x-15
Hence, the required equation for the line is "y=12x-15".
A runner is 6/8 mile from the finish line. If she can travel 3/8 mile per minute, how long will it take her to finish the race? Answer in a complete sentence.
Answer:
it will take her 40 seconds to finish the race.
3/8 per minute, would make it 1/8 every 20 seconds. since she only has 2/8 of a mile left to go, 20 seconds +20 seconds = 40 seconds
(if you needed how long it takes her to run the whole race, it's 2 minutes 40 seconds, which would make her the fastest mile runner in the world)
Step-by-step explanation:
I hope this helps :)
Find the equation of the exponential function represented by the table below:
y=
Answer:
The value of exponential function: y = 0.2(0.5)ˣ
Step-by-step explanation:
We know that the exponential function is of the form
y = abˣ
From the table, it is clear that
when x = 0, y = 0.2
so substitute x = 0, y = 0.2
[tex]0.2\:=\:ab^{0}[/tex]
0.2 = a × 1 ∵ b⁰ = 1
0.2 = a
so, we have a = 0.2
now substitute x = 1 and y = 0.1
y = abˣ
0.1 = 0.2×b¹
0.1 = 0.2×b
b = 0.1/0.2
b = 0.5
now substituting a = 0.2 and b = 0.5
y = abˣ
y = 0.2(0.5)ˣ
Therefore, the value of exponential function: y = 0.2(0.5)ˣ
Jeremy wants to determine the number of solutions for the equation below without actually solving the equation. Negative 3 (x + 1) + 3 x = negative 3 (x minus 1) + 3 Which method should Jeremy use?
Options :
Determine whether the equation has the form a = a, and if it does, the equation has infinitely many solutions. Determine whether the equation has the form a = b, and if it does, the equation has no solution. Determine whether the equation has the form x = a, and if it does, the equation has one solution. Determine whether the equation has the form x = 0, and if it does, the equation has no solution.
Answer:
Determine whether the equation has the form x = a
Step-by-step explanation:
Negative 3 (x + 1) + 3 x = negative 3 (x minus 1) + 3
-3(x + 1) + 3x = - 3(x - 1) + 3
If the equation has the form x =a, where a is the unknown and a is the value of the unknown 'x'
Expanding :
-3x - 3 + 3x = - 3x + 3 + 3
-3x + 3x -3 = - 3x + 6
-3 = - 3x + 6
-3 - 6 = - 3x
-9 = - 3x
x = 9/3
x = 3
A certain function h(x) contains the point (8,-2). Find the value of h^-1(-2) . Explain your answer.
Given:
A certain function h(x) contains the point (8,-2).
To find:
The value of [tex]h^{-1}(-2)[/tex].
Solution:
If a function is defined as
[tex]f(x)=\{(a,b):a\in R,b\in R\}[/tex]
Then, its inverse is defined as
[tex]f^{-1}(x)=\{(b,a):a\in R,b\in R\}[/tex]
It is given that, a certain function h(x) contains the point (8,-2). It means, its inverse [tex]h^{-1}(x)[/tex] contains the point (-2,8). So, the value of inverse function is 8 at x=-2, i.e.,
[tex]h^{-1}(-2)=8[/tex]
Therefore, the value of [tex]h^{-1}(-2)[/tex] is 8.
What are the values of a, b, and c in the matrix addition below?
4
1
-5
-8
0
6
-4 1
1
1
-10
2
2
13
-4
5
-1
a
7
12
+
3
3
3
15-12
3
18 b
3
-8
-9
6
-3
11
-8 C
17
a=-5
b=-9
o
C=-12
a=-14
O b= 15
C=-12
a=-14
b=-9
[tex]a = - 14 \\ c = - 12 \\ b = - 9[/tex]
The solution is, the values of a = -14, b= -9, c = -12.
What is Matrix?Rows and columns of numbers are arranged in a matrix. A rectangular matrix is a grouping of numbers into rows and columns. The matrix A, for instance, has two rows and three columns.
here, we have,
A matrix is a rectangular arrangement of a collection of numbers into a fixed number of rows and columns.
We have a matrix of order 4 x 4 where the number of rows are 4 and number of column are 4.
and, the resultant matrix is also of order 4 x 4 where the number of rows are 4 and number of column are 4.
we get,
the addition of the two given matrices is,
[tex]\left[\begin{array}{ccc}-4 &1&1\\-14&7&12\\18&-9&3\\-8&-12&17\end{array}\right][/tex]
Then, the values of a = -14, b= -9, c = -12.
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Write the quadratic equation in standard form please
-5x^2-6x=-1+2x
Answer: 5x^2 + 8x - 1 = 0
Step-by-step explanation:
-5x^2 - 6x + 1 - 2x = 0
5x^2 + 6x + 2x - 1 = 0
5x^2 + 8x - 1 = 0
a > 0
One report said that it rained 3 inches in two days. It actually rained 1.05 inches and 1.8 inches. How far off was the report? Explain your answer.
Answer:
Step-by-step explanation:
1.80 + 1.05 = 2.85
3.00 - 2.85 = .15 inches
Write the following using index notation:
a)2 x 2 x 2
b)x3 x 3 x 3 x 3
c)4 x 4 x 4 x 5 x 5
d)9 x 7 x 9 x 9 x 7 x 9
Answer:
A) 2^3
B)3^4
C)4^3*5^2
D)9^4*7^2
Step-by-step explanation:
I need somebody
(Help!) not just anybody help
Answer:
It is C √2/2
Step-by-step explanation:
WILL MARK BRAINLIEST
Answer:
b = 6
Step-by-step explanation:
a² + b² = c²
8² + b² = 10²
8² + b² - 8² = 10² - 8²
b² = 100 - 64 = 36 = 6²
b = 6
It is difficult to change how good I am at math even if I try hard and practice a lot.
A. strongly agree
B. agree
C. disagree
D. strongly disagree
Answer:
B
Step-by-step explanation:
Match the story with an equation.
Elena has a 8 foot piece of ribbon. She cuts off a piece that is 1/4 of a foot long. She
then cuts the remaining piece into four pieces of equal lengths.
Answer:
P=length of each of the 4 pieces
(8' - 0.25')/4=P
Step-by-step explanation:
P=length of each of the 4 pieces
(8' - 0.25')/4=P
6/4 is the length of the each ribbon piece.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Elena has a 8 foot piece of ribbon.
Elena cuts off a piece that is 1/4 of a foot long.
The ribbon cutt off by Elena is 1/4×8=2
The remaining ribbon is given by 8-2=6
cuts the remaining piece into four pieces of equal lengths.
6/4.
Hence, 6/4 is the length of the each ribbon piece.
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