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2 years ago

What is the equation of the function that is graphed as line a?

Mathematics

1 answer:

Andrei [34K]2 years ago

4 0

Answer:

Step-by-step explanation:

We see that the line intersects the y-axis at -1. As a result, we need to choose an equation with -1, either B or C. We see that the different is the slope. For choice B, the slope is $\frac{1}{3}$ , meaning that every unit up equates to 3 blocks to the right. Counting along the line, we see that this is correct.

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(8,8) and (6,-4) slope

dem82 [27]

Answer:

the formula to find slope is m=y1-y2/x1-x2

using this formula 8-6/8-(-4)

=2/8+4

=2/12 simplify

=1/6

5 0

2 years ago

Read 2 more answers

Easton wants to put a variety of donuts in a display case. The case is large enough to hold 100 donuts. Complete the table below

shutvik [7]

The amounts for each donut are given as follows:

Strawberry: 15.

Chocolate: 45.

Sprinkle: 40.

<h3>How to obtain the amounts?</h3>

The amounts for each donut are found applying the proportion, multiplying the decimal equivalent of each percentage by the total number of donuts.

From the problem, the total number of donuts is given as follows:

100 donuts.

The percentages of each type of donuts are given as follows:

Strawberry: 15%.

Chocolate: 45%.

Sprinkle: 40%.

The decimal equivalent of each percentage is given as follows:

Strawberry: 0.15.

Chocolate: 0.45.

Sprinkle: 0.4.

Hence the amounts are given as follows:

Strawberry: 15, as 0.15 x 100 = 15.

Chocolate: 45, as 0.45 x 100 = 45.

Sprinkle: 40, as 0.4 x 100 = 40.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

3 0

1 year ago

Use Newton’s Method to find the solution to x^3+1=2x+3 use x_1=2 and find x_4 accurate to six decimal places. Hint use x^3-2x-2=

luda_lava [24]

Let $f(x) = x^3 - 2x - 2$ . Then differentiating, we get

$f'(x) = 3x^2 - 2$

We approximate $f(x)$ at $x_1=2$ with the tangent line,

$f(x) \approx f(x_1) + f'(x_1) (x - x_1) = 10x - 18$

The $x$ -intercept for this approximation will be our next approximation for the root,

$10x - 18 = 0 \implies x_2 = \dfrac95$

Repeat this process. Approximate $f(x)$ at $x_2 = \frac95$ .

$f(x) \approx f(x_2) + f'(x_2) (x-x_2) = \dfrac{193}{25}x - \dfrac{1708}{125}$

Then

$\dfrac{193}{25}x - \dfrac{1708}{125} = 0 \implies x_3 = \dfrac{1708}{965}$

Once more. Approximate $f(x)$ at $x_3$ .

$f(x) \approx f(x_3) + f'(x_3) (x - x_3) = \dfrac{6,889,342}{931,225}x - \dfrac{11,762,638,074}{898,632,125}$

Then

$\dfrac{6,889,342}{931,225}x - \dfrac{11,762,638,074}{898,632,125} = 0 \\\\ \implies x_4 = \dfrac{5,881,319,037}{3,324,107,515} \approx 1.769292663 \approx \boxed{1.769293}$

Compare this to the actual root of $f(x)$ , which is approximately <u>1.76929</u>2354, matching up to the first 5 digits after the decimal place.

4 0

1 year ago

What number is x if the equation is 2x-7=3

Elanso [62]

Hello there!

2x - 7 = 3

Solve for x

2x = 3 + 7

2x = 10

x = 10/2

x = 5

Therefore, the number of x in the equation is 5

Let me know if you have additional question!

8 0

3 years ago

7. Given the function f(x)= x - 3x +4, evaluate f(5)-|(2).

SVETLANKA909090 [29]

Yes that’s correct i did this before

3 0

2 years ago