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3 years ago

Which equation represents the slope-intercept form of the line below?

Mathematics

2 answers:

Lelechka [254]3 years ago

7 0

Answer:

Choice B: y = 1/2x + 8

Step-by-step explanation:

<u>Given</u>

slope = 1/2

y-intercept = (0,8)

slope is indicated by m

y-intercept is indicated by b

y = 1/2x + 8

<u>Answer</u>

y = 1/2x + 8

Anvisha [2.4K]3 years ago

7 0

Answer: B. $y=\dfrac{1}{2}x+8$

Step-by-step explanation:

We know that the equation of a line in slope-intercept form is given by :-

$y=mx+c$ , where m is the slope of the line and c is the y-intercept of the line.

For the given graph , we have

y-intercept = (0,8)

i.e. c=8

Slope = $\dfrac{1}{2}$

i.e. m=8

Then, the equation of the given line in slope-intercept form will be :-

$y=\dfrac{1}{2}x+8$

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Suppose that a person's peak blood alcohol level is 0.07 (grams per 100 mL) and that this level decreases by 40% each hour.

Natalija [7]

Answer:

Step-by-step explanation:

Considering a person peak blood is 0.07

It decrease by 4% every hour

a) Using exponential function

$f(x) = Ca^x$

where,

a = 1 + r

r = -0.40%

Here,

C = 0.07,

a = 1 - 0.04 = 0.06

$f(x)=0.07(0.6)^x$

<h3>Therefore, hourly decay factor is 0.6</h3>

Here the hourly decay factor is 0.6

$B(x)=ca^x\\\\0.07(0.6)^x$

c) Evaluate

$B(2)=0.07\times (0.6)^2\\\\0.07(0.36)\\\\= 0.0252g$

0.0252g or 100mL

<h3>Thus, after 2 hours the blood is 0.0252g or 100mL</h3>

3 0

2 years ago

Read 2 more answers

Josh has a box of ballons.in that box he finds that 1/8 of the ballons are blue out of 120 ballons in the box the rest is red.ho

Stolb23 [73]

Answer:

Step-by-step explanation:

1/8 times 120= 15

5 0

3 years ago

The length of a rectangle is (2x+5) units and the breadth is (3x-1) units .Find the perimeter and the area of the rectangle.

jolli1 [7]

Answer:

Perimeter = 10x + 8 units.

Area = 6x^2 + 13x - 5 units^2.

Step-by-step explanation:

The perimeter is 2*length + 2*breadth

= 2(2x + 5) + 2(3x - 1)

= 4x + 10 + 6x - 2

= 10x + 8 units.

The area = length * breadth

= (2x + 5)(3x - 1)

= 6x^2 - 2x + 15x - 5

= 6x^2 + 13x - 5 units^2.

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3 years ago

Find last year's salary if, after a 5 %5% pay raise, this year's salary is $ 33 comma 075$33,075.

Anvisha [2.4K]

$33,075 = 0.05S + S

$33,075 = 1.05S

$33,075/1.05 = 1.05S/1.05

S= $31,500

Check

$31,500 * 5% = $1575 + $31,500 =$33,075

8 0

3 years ago

What is the y-value of the vertex of the function f(x) = –(x + 8)(x – 14)?

maxonik [38]

we have

$f(x)=-(x+8)(x-14)$

Convert to vertex form

$f(x)=-(x+8)(x-14)\\f(x)=-( x^{2}-14x+8x-112) \\f(x)=-( x^{2}-6x-112)\\f(x)=-x^{2}+6x+112$

we know that

the equation of a vertical parabola in vertex form is equal to

$y=a(x-h)^{2} +k$

where

(h,k) is the vertex

$f(x)=-x^{2}+6x+112$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)-112=-(x^{2}-6x)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$f(x)-112-9=-(x^{2}-6x+9)$

$f(x)-121=-(x^{2}-6x+9)$

Rewrite as perfect squares

$f(x)-121=-(x-3)^{2}$

$f(x)=-(x-3)^{2}+121$

the vertex is the point $(3,121)$

therefore

<u>the answer is </u>

The y-value of the vertex is $121$

8 0

3 years ago