A school had $3,000 to spend on technology. They spent $350 on a new projector. The function f(x)=299x+350 gives the total amount of money spent on technology after buying x tablets. If a teacher finds the tablets on sale for $249 each, how will the function change? Select three statements that are true.
AThe y-intercept of the function will not change
b The domain of the function will change from 0≤x≤8 to 0≤x≤10.
cThe range of the function will not change
dThe y-intercept of the function will decrease by $50.
eThe domain of the function will change from 0≤x≤10 to 0≤x≤12.
fThe range of the function will change

Answers

Answer 1

Answer:

The y-intercept of the function will not change.

Step-by-step explanation:

The given function is:

[tex]f(x)=2x-4[/tex]

It is defined on the domain

.

We need to find the range:  

The range is the set of output values.  

[tex]2\leq x\leq 6[/tex]

Multiply 2 on each side.  

[tex]4\leq 2x\leq 12[/tex]  

Subtract 4 from each side.  

[tex]4-4\leq 2x-4\leq 12-4[/tex]  

[tex]0\leq f(x)\leq 8[/tex]  

[tex]0\leq y\leq 8[/tex]  

The range of the function is .

Therefore, the correct option is A. The y-intercept of the function will not change.


Related Questions

I need help with this ASAP!!!!

Answers

Answer:

B) 81.96°

Step-by-step explanation:

40.67 - (-41.29)

40.67 + 41.29 = 81.96

Find the slope of the line represented by the table. Show all work

Answers

You are given the formula
m = (y2-y1)/(x2-x1)
You can pick any two points on table
Let’s choose (9,2) and (3,-2)
Plug in the values into formula
m = (-2-2)/(3-9)
m = -4/-6
Simplify: m = 2/3

Solution: m = 2/3

the answer? wowisoososksks

Answers

Answer:

1/6

Hope that this helps!

A vase has the shape of a rectangular prism. The inside of the vase is also a rectangular prism. What is the volume of the solid part of the vase

Answers

The volume of solid part of the vase is equal to volume of rectangular vase minus volume of inside of the vase. We know that volume of rectangular prism is length times width times height. Therefore, the volume of the solid part of the vase is 1560 cubic c

help me out please ill give you 5 star, brainlist

Answers

Answer:

H

Step-by-step explanation:

you can see that it's increasing by 50 for each line

4*50=200

Can someone pls help me

Answers

Answer:

around 5,-5

Step-by-step explanation:

since its gona move 3 units up and 3 units left

If the simple interest earned on $6000 for 9 years is $2,160. Then what is the interest rate?

Answers

Answer:

4 %

Step-by-step explanation:

1 year interest =2160÷9

= £240

Interest rate=240/6000 ×100

=4%

PLEASE HELP ASAP!!!

Given that PQ/ST = QR/TU = RS/US , select the postulate or theroem that you can use to conclude that the triangle are similar.

○ ASA similarly postulate
○ SAS similarly theorem
○ AA similarly postulate
○ SSS similarly theorem ​

Answers

SSS Similarity Theorem

'na1 18 43 written in expanded form?
A.
B.
C.
D.
4x3
4+4+4
3x3 x3 x3
4 x 4 x 4​

Answers

Whensjsyabsyhvqkaihsnsna

Which of these is a two-step equation? Ax + 9 = 21incorrect answer Bx = 11 + 2incorrect answer C2x + 9 = 21incorrect answer Dx/3 = 9

Answers

Answer:

2x + 9 = 21

Step-by-step explanation:

Looking at option C;

2x + 9 = 21

Step 1: Subtract 9 from both sides

2x+9 - 9 = 21 - 9

2x = 12

Step 2: divide both sides by 2

2x/2 = 12/2

x = 6

Hence the expression which is a two-step equation is 2x + 9 = 21 since we arrived at the solution in two steps

Help!!!!!!!!!!!!!!!
If f(x) = -(24 – 32) – x, find f(-2).

Answers

There are 2 answers.
Hope it helps :)

#2: Grace needs to buy a new printer. The printer she wants has a price tag of $60. She has a 25% off coupon and $50 in her bank account. If she must pay 6.75% sales tax, will she have enough money to buy the printer? If yes, how much will she have left over? If no, how much is she short?

Answers

Answer:

yes

Step-by-step explanation:

$60×25%=$15...so the coupon she have worth $15 but she also have $50

so she has an overall of $65 she can use

but she must pay sales tax:$60×6,75%=$4.05

so then the overall money that she must pay for the printer is $60+$4.05=$64.05

so then the difference of her money and the price of the printer is:

$65-$64.05=$0.95

$0.95 is left over

What is the slope of the line that passes through the points listed in the table?

x | y
4 | 3
7 | 9

A. -2

B. 2

C. 3

D. 6

Answers

Answer:

B. 2

Step-by-step explanation:

(4, 3) (7, 9)     M = Slope

M = [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]      Slope formula

[tex]M=\frac{9-3}{7-4}[/tex]       Using the slope formula, plot both x and y intercepts

[tex]M=\frac{6}{3}[/tex]           Slope needs to be simplified into a whole number

[tex]M=2[/tex]          

I need correct answer please!:)​

Answers

Answer:

G. Angle NKL is congruent to angle ZWX is the answer

Step-by-step explanation:

Hope it helps you:)

POSSIBLE PONTS 10
6. Which of the following visual representations correctly displays a relationship between sets of real numbers?
F
H.
Irrational
Real
Rational
Irrational
Rational
Real
Real
Rational Real Irrational
Rational
Irrational

Answers

Answer:

hey there buddy

Step-by-step explanation:

Square contains 4cm. find the area of the shape.​

Answers

Answer:

Step-by-step explanation:

'Area of a square' formula is A = s^2, where s in the length of one side.

Here, with s = 4 cm, A = 16 cm^2

If the length is 4cm, it's probably 16. But just to check can you describe the question more?

The population of Bengal tigers in a region of India can be modeled by the function P = 450(0.85), where P is the
population and I is the number of years since 2000.
What is the Bengal tiger population in 2000?
and by what percent does the tiger population decrease each year?

Answers

Answer:

(a) The population in 2000 is 450

(b) 15% decreases each year

Step-by-step explanation:

Given

[tex]P = 450(0.85)^t[/tex] --- since 2000

[tex]P \to Population[/tex]

[tex]t \to years[/tex]

Solving (a): The population in 2000

First calculate t

[tex]t = 2000 - 2000[/tex] --- years since 200

[tex]t = 0[/tex]

So, we have:

[tex]P = 450(0.85)^t[/tex]

[tex]P = 450 * 0.85^0[/tex]

[tex]P = 450 * 1[/tex]

[tex]P = 450[/tex]

Solving (b): Rate of population decrease

A function that decreases is represented as:

[tex]P(t) = a(1 - r)^t[/tex]

Where

[tex]r \to[/tex] rate of decrement

Compare [tex]P(t) = a(1 - r)^t[/tex] and [tex]P = 450(0.85)^t[/tex]

[tex]1- r = 0.85[/tex]

Collect like terms

[tex]r = 1 - 0.85[/tex]

[tex]r = 0.15[/tex]

Express as percentage

[tex]r = 15\%[/tex]

Whats the volume help pls

Answers

Answer:

36 Cubic Units

Step-by-step explanation:

Volume of a cube: Length x Width x Height

4 x 3 x 3 = 36

what is the exterior angle theorem​

Answers

Answer:

Proposition 1.16 in Euclid's Elements, which states that the measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles.

Step-by-step explanation:

12x - 24 + 3x = 1/3x + 4 + 10x plz no link or spam (i will report you)

Answers

Answer:

x=6

15x - 24 = 1/3x + 4 + 10x

=

45x - 72 = x + 12 + 30x

=

45x - 72 = 31x + 12

=

45x - 31x = 12 + 72

=

14x = 84

=

x = 6

Find all the missing elements:
B
14
15
70°
A
b
с

Answers

Answer:

[tex]B=48.7\\[/tex]

[tex]c=61.3[/tex]

[tex]b=12[/tex]

Step-by-step explanation:

Using sines law for triangles,

[tex]\frac{15}{sinA} =\frac{14}{sinc} =\frac{b}{sinB} \\\\A= 70[/tex]

⇒ [tex]\frac{15}{sin70} =\frac{14}{sinC} =\frac{b}{sinB}[/tex]

⇒ [tex]\frac{15}{0.9397} =\frac{14}{sinC}=\frac{b}{sinB}[/tex]

⇒ [tex]15.9625=\frac{14}{sinC}[/tex]

⇒ [tex]SinC=\frac{14}{15.9625}=0.8771[/tex]

⇒ [tex]C=Sin^{-1}(0.8771)=61.29[/tex]

⇒ [tex]C=61 ~ or ~ 61.30[/tex]

[tex]\frac{b}{Sin B}=15.9625[/tex]

Now sum of angles a Δ is 180°

A+B+C=180°

[tex]70+B+61=180[/tex]

[tex]B=180-131=49~ or ~ 48.7[/tex]

[tex]b=sin(48.70)(15.9625)=(0.7547)*(15.9625)= 12.0[/tex]

╔════ ∘◦ ☆ ◦∘ ══════╗

       hope it helps..

      have a great day!!

╚═════ ∘◦ ❉ ◦∘ ═════╝

Find each measure below.
arc SR=

Answers

Answer:

Measure of arc SR = 62°

Step-by-step explanation:

By using the property,

"Measure of an arc of the circle is double of the measure of the angle subtended by the arch."

m∠SUR = [tex]\frac{1}{2}m(\text{arc SR})[/tex]

m(arc SR) = 2m∠SUR

                 = 2(31°)

                 = 62°

Evaluate the expression 4x^2 + 3y for x = 5 and = 6.

Answers

Answer: 118

Step-by-step explanation:

Help pleaseeeeeeeeeee

Answers

Answer:

Step-by-step explanation:

-3,5 to find it first go over then go up and you have your answer

Answer:

The answer is (5, -3)

Hope this helps!

Mark me brainliest if I'm right :)

Dan walks around the block. The block is 200 feet wide and 800 feet long. How many feet did he walk?

Answers

Answer:

2000 feet

Step-by-step explanation:

200*2=400

800*2=1600

400+1600=2000

SOMEONE ANSWER QUICK!!

Steven bought 4 pizzas to share with his family. Together, they ate 2 7/12 pizzas on Friday and another 2/3 of a pizza on Saturday. How much pizza is left??

Answers

Answer:

3/4 of a pizza leftover.

Step-by-step explanation:

2 7/12 + 2/3 = 3 1/4

4 -  3 1/4 = 3/4

so 3/4 of 1 pizza is left.

Whoever sees this first and answers it first get to be marked brainliest and gets 185 points​

Answers

aaa THIS IS HELPPING JE A LOT TYYaaaaaAnswer:

Step-by-step explanation:

Answer:

yooooooooooooooooooooooooooooooooooooooooooo

Step-by-step explanation:

Find the approximant radius of a circle with a circumference of 34.48 inches. Use 3.14 for π Round to the nearest hundredth

Answers

Answer:

5.49 inches

Step-by-step explanation:

Given data

Circumference= 34.48inches

The expression for the circumference of a circle is

C= 2πr

Make r the subject of formula

r= C/2π

r= 34.48/2*3.14

r= 34.48/6.28

r= 5.49 inches

Hence the radius is  5.49 inches

Find three consecutive even integers such that the square of the first is 80 less than the square of the third. [Only an algebraic solution will be accepted.]​

Answers

Answer:

First number = 19

Second consecutive = 20

Third consecutive = 21

Step-by-step explanation:

Assume;

First number = x

So,

Second consecutive = x + 1

Third consecutive = x + 1 + 1 = x + 2

So,

(x + 2)² - x² = 80

x² + 2(2)(x) + 2² - x² = 80

x² + 4x + 4 - x² = 80

4x + 4 = 80

4x = 80 - 4

4x = 76

x = 76 / 4

x = 19

First number = x

First number = 19

Second consecutive = x + 1

Second consecutive = 19 + 1

Second consecutive = 20

Third consecutive = x + 2

Third consecutive = 19 + 2

Third consecutive = 21

Write the equation of a line that goes through the points (2, -2) and (1, -8)

show work i will appreciate it

Answers

Answer:

y=6x-14

Step-by-step explanation:

m=-8-(-2)/1-2

m=-8+2/1-2

m=-6/-1

m=6

y-y1=m(x-x1)

y-(-2)=6(x-2)

y+2=6x-12

y=6x-2-12

y=6x-14

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