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julsineya [31]
2 years ago
15

What is the y-intercept of the graph that is shown below?

Mathematics
1 answer:
Law Incorporation [45]2 years ago
7 0

Answer:

y- intercept is (2;0)

Step-by-step explanation:

Then the x- intercept is (3;0)............

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what was the original principal for an 8% simple interest bank account that holds $4340 after 3 years?
strojnjashka [21]

The principal amount is \$3500

<u>SOLUTION: </u>

Given that, simple interest 8\%; \$4340 after 3 years

We have to find the principal.

Now, let the principal amount be p.  

Then, \text { Simple Interest }=\frac{p \times 8 \times 3}{100}=\frac{p \times 24}{100}

Now, we know that, Balance = Principal amount + Simple Interest  

\begin{array}{l}{\rightarrow \$ 4340=p+\frac{24 p}{100}} \\\\ {\rightarrow 4340=p\left(1+\frac{24}{100}\right)} \\\\ {\rightarrow 4340=p \times \frac{100+124}{100}} \\\\ {\rightarrow p=4340 \times \frac{100}{124}} \\\\ {\rightarrow p=35 \times 100} \\\\ {\rightarrow p=3500}\end{array}

5 0
3 years ago
What is the volume of the figure below, which is composed of two cubes with side lengths of 9 units?
ivann1987 [24]

Answer:

C. 1458 cubic units

Step-by-step explanation:

one cubes side length is 9. The only side that changes is the length since the size is doubled so instead of it 9 it would be 18.

V= L × W × H

= 18 × 9 × 9

= 1,458

hope this helped youuu

8 0
2 years ago
What is the slope (2,6) (-1, -5)
egoroff_w [7]
answer is 11/3.

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8 0
2 years ago
Solve the rational function of (check image) and check for extraneous solutions
Oxana [17]

Answer:

Option A is correct.

i.e. x = 1, x = 0 is an extraneous solution.

Step-by-step explanation:

Given the expression

\frac{5}{x}=\frac{4x+1}{x^2}

Solving the rational function

\frac{5}{x}=\frac{4x+1}{x^2}

Apply fraction across multiply: if \frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c

5x^2=x\left(4x+1\right)

Subtract x(4x+1) from both sides

5x^2-x\left(4x+1\right)=x\left(4x+1\right)-x\left(4x+1\right)

Simplify

5x^2-x\left(4x+1\right)=0

5x² - 4x² - x = 0

x² - x = 0

Factor x² - x = x(x-1)

so

x(x-1) = 0

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

x=0\quad \mathrm{or}\quad \:x-1=0

Thus, the solution to the equation is:

x=0,\:x=1

But, it is clear that if we substitute x = 0, the equation becomes undefined because we can not have the denominator to be 0.

In other words, the equation is undefined for x = 0

Thus, x = 0 is an extraneous solutions.

Therefore, option A is correct.

i.e. x = 1, x = 0 is an extraneous solution.

5 0
3 years ago
Which of the following correctly factors the expression −20x+4y−2?
Wewaii [24]

9514 1404 393

Answer:

  B  2(−10x+2y−1)

Step-by-step explanation:

The greatest common factor is 2. Factoring that out gives the factorization shown in choice B.

  2(-10x +2y -1)

__

You could factor out -2. Doing that would give ...

  -2(10x -2y +1) . . . . . . . doesn't match choice C

8 0
3 years ago
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