In order for the data in the table to represent a linear function with a rate of change of –8, what must be the value of a?
Answers
Given:
Consider the below figure attached with this question.
The rate of change of the linear function is -8.
To find:
The value of a.
Solution:
If a linear function passes through the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the rate of change of the linear function is:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
From the given table, it is clear that the linear function passes through the points (10,27) and (11,a). So, the slope of the linear function is:
[tex]m=\dfrac{a-27}{11-10}[/tex]
[tex]m=\dfrac{a-27}{1}[/tex]
[tex]m=a-27[/tex]
The rate of change of the linear function is -8.
[tex]-8=a-27[/tex]
[tex]-8+27=a[/tex]
[tex]19=a[/tex]
Therefore, the value of a is 19.
Answer:
it is C
Step-by-step explanation:
Related Questions
3^8 times 3^2, using properties of exponents
Answers
Answer:
[tex]3^{10}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then
[tex]3^{8}[/tex] × 3² = [tex]3^{(8+2)}[/tex] = [tex]3^{10}[/tex]
Elimination method
a-b=3
2a+3b=b
Answers
Answer:
a=3/2 b=-1 1/2
Step-by-step explanation:
Which calculation shows the best method for estimating the result of 384 divided by three-sixteenths?
Answers
Answer:
the answer to this is 2048
Step-by-step explanation:
Answer: B
Step-by-step explanation: Just round
The volume of a cylinder is 1280pi cm cubed. The radius is 8cm. Find the missing length.
Answers
The diameter of a circle is 9 m. Find the circumference \textit{to the nearest tenth}to the nearest tenth.
Answers
Answer:
[tex]C=28.3m[/tex]
Step-by-step explanation:
From the question we are told that:
Diameter [tex]d=9m[/tex]
Radius[tex]r=4.5m[/tex]
Generally the equation for Circumference of a circle is mathematically given by
[tex]C=2\pi r\\\\\C=2*\pi*4.5m[/tex]
[tex]C=28.3m[/tex]
Answer:
Step-by-step explanation:
From the question we are told that:
Diameter
Radius
Generally the equation for Circumference of a circle is mathematically given by
Have a good day
Step-by-step explanation:
Question 1 Multiple Choice Worth 1 points)
(01.05 LC)
Solve for x: -7 < X -1 <8
Answers
Answer:
-6 < x <9
Step-by-step explanation:
-7 < X -1 <8
Add 1 to all sides
-7+1 < X -1+1 <8+1
-6 < x <9
Answer:
D
Step-by-step explanation:
I need help please please!!!
Answers
Answer:
y = 91
Step-by-step explanation:
y = 5² + 10(5) + 16
y = 25 + 50 + 16
y = 91
Help me with this one plz
Answers
Answer:
-1 is the only number there that is an integer as all the rest of them are mixed fractions.
Answer:
- 1
Step-by-step explanation:
A rectangle has a perimeter of `52` cm. Its width is `9` cm.
what is the length of the rectangle
Answers
Answer:
The length is 17 cm.
17+17+9+9 adds up to 52.
I hate math, but math "love" me, keep on sticking to me.
Answers
How much carpet would be needed to cover the area in the figure?
Answers
Answer:
28 square yards
Step-by-step explanation:
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3
3(x+4) represents the area of the rectangle above. Which expression below is equivalent by the Distributive Property?
O 3x+12
O (3 + x) +4
O (x + 4) - 3
O 3x + 4
Answers
Answer:
O 3x+12
Step-by-step explanation:
3(x + 4) = (3 · x) + (3 · 4)
= 3x + 12
Hope this helps
What portion of shared $7500 security costs should be apportioned to store A?
Answers
Answer:
3,750
Step-by-step explanation:
2500+1250+625+625=5000
2500/5000=.50 or 50%
7500X.50=3750
Marissa went to the store with $20 and returned home with $5.36. If she bought only 3 gallons of ice cream, what was the cost of each gallon of ice cream?
Answers
Answer: $4.88
Explanation: $20.00-$5.36= $14.64
$14.64÷3= $4.88
add the following decimals
Answers
Answer:
148.91
Step-by-step explanation:
hope it helps<333
Vhich type of sequence is shown? Check all that apply.
4, 8, 12, 16, ...
The numbers are quickly getting larger, so this is a geometric sequence.
The numbers are slowly getting larger, so this is an arithmetic sequence.
This is an arithmetic sequence because there is a common difference of 4 between each term.
This is a geometric sequence because there is a common ratio of 2 between each term.
Add 4 to the last term to extend this arithmetic sequence.
Multiply the last term by 2 to extend this geometric sequence.
Answers
Answer:
This is an arithmetic sequence because there is a common difference of 4 between each term.
Add 4 to the last term to extend this arithmetic sequence
Step-by-step explanation:
Liz earns a salary of $2,300 per month, plus a commission of 3% of her sales. She wants to earn at least $2,500 this month. Enter an inequality to find amounts of sales that will meet her goal. Identify what your variable represents. Enter the commission rate as a decimal.
Answers
Answer:
she needs 200 more$
Step-by-step explanation:
Carl is filling flowerpots with soil. Each flowerpot is a cylinder with a radius of 7cm and a height of 10 cm. If Carl has 24,000 cubic centimeters of soil, how many flowerpots can he fill?
Answers
Answer:
16 pots
Step-by-step explanation:
We first need to find out the amount of dirt that can be filled into a single flowerpot.
We use the formula to find the cylinder's volume.
π[tex]r^{2}[/tex][tex]* h[/tex]
Height is equal to ten, Radius is equal to 7.
49π [tex]* 10[/tex]
≈ 1539.38
25,000 divided by 1539.38
≈ 16.24
He can fill 16 pots fully.
A regular decagon has a radius of 8 cm.
What is the approximate area of the decagon? Recall that a decagon is a polygon with 10 sides.
188 cm2
198 cm2
304 cm2
375 cm2
Answers
Answer:
188cm^2
Step-by-step explanation:
A regular decagon has ten sides. Therefore, a decagon with radius of 8 cm has an approximate area of 188 cm²
What is a decagon?A decagon is a polygon with 10 sides.
Therefore, the approximate area of a decagon can be found as follows:
area of decagon = r²sin(360/n) / 2 × 10
where
r = radius
n = number of sides
Therefore,
r = 8 cm
area of decagon = 8² sin (360/ 10) / 2 (10)
area of decagon = 64 sin 36 / 2 × 10
area of decagon = 64 × 0.58778525229 / 2 × 10
area of decagon = 37.6182561467 / 2 × 10
area of decagon = 18.8091280734 × 10
area of decagon = 188 cm²
learn more on decagon here: https://brainly.com/question/27314677
what is the smallest number that can be subtracted from 376234 to make it divisible by 11
Answers
Answer:
Odd:: 8+7+9=24
Even:: 2+8=10
So difference of odd and even is 24-10=14
Reducing 3 from this will make the difference (14–3) divisible by 11.
So the number to be subtracted is 3
And the number is 82786.
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
If you subtract the number by 1 i.e. 376233 it will be exactly divisible by 11.
find the value of x.
Answers
Answer:
x = 83 degree
Step-by-step explanation:
x + 43 = 126 (sum of two interior opposite angle is equal to the exterior angle formed)
x = 126 - 43
x = 83 degree
Answer:
83 degrees
Step-by-step explanation:
To find this you first find the angle opposite to 126. To do this you subtract 126 from 180 as 180 degrees is a straight line, and we are looking for that missing angle.
This equals 54 degrees.
Now, 54 + 43 equals 97.
Because all interior angles of a triangle always equal 180, you can find that last angle by subtracting 97 from 180. This leaves you with 83 degrees.
what is the equation of the red graph? g(x)=? A. g(x)=-x^2 B. g(x)=x^2 C. g(x)=(4-x)^2 D. g(x)=(8-x)^2
Answers
the answer of course is bobbies
Answer
the answer if b in the above
find the T.A for the prism
Answers
Answer:
I dont know
Step-by-step explanation:
I have no clue I know nothing about math
525/4 ÷ 35/4 need the answer quick
Answers
Answer:
15
Step-by-step explanation:
525/4 ÷ 35/4
=525/4 x 4/35
=525/35
=105/7
=15/1
=15
the sum of the 13th square number and the 4th cube number?
Answers
Answer:
13th square number+4th cube number=233
Step-by-step explanation:
[tex]13^{2} +4^{3}[/tex]=233
The value of the sum of the 13th square number and the 4th cube number will be 223.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The act of converting a specified statement into an expression or equation is known as a sentence-to-equation transformation.
The sum of the 13th square number and the 4th cube number. Then the numerical expression is given as,
⇒ (13)² + (4)²
Simplify the numerical expression, then we have
⇒ (13)² + (4)³
⇒ 169 + 64
⇒ 223
The value of the sum of the 13th square number and the 4th cube number will be 223.
More about the value of the expression link is given below.
https://brainly.com/question/23671908
#SPJ2
A college had a tuition of $35,000, then increased it by 10%, then decreased it by 5%. What is the new tuition of the college after this increase and decrease?
Answers
Answer:
$36,575 is the new tuition
express your answer as a polynomial in a standard form.
Answers
hey guys ... just want to make this answer sure... subtract 2x²+3x+6 from 3x²+5x+7=? A)x²+2x+1 or
B)x²+8x+13
Answers
Answer:
answer is A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
3x² + 5x + 7 - (2x² + 3x + 6) ← distribute terms in parenthesis by - 1
= 3x² + 5x + 7 - 2x² - 3x - 6 ← collect like terms
= x² + 2x + 1 → A
Change each of these test scores to:
i.) fractions in their lowest terms.
ii.) percentages.
Show your working.
a.) 21 out of 50.
b.) 105 out of 150.
c.) 45 out of 75.
d.) 118 out of 200.
Answers
Answer:
a) 21/50 -> 42%
b) 7/10 ->70%
c) 3/5 -> 60%
d) 59/100 -> 59%
Step-by-step explanation:
Quick, What is the value of x?
A. 2
B. 3
C. 6
D. 7
Answers
Answer:
Im pretty sure the answer is b using the formula
