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Nikitich [7]
2 years ago
12

What is the x-intercept of the line with equation 3y - 8x = 10? Represent your answer as a point in (x, y) form.

Mathematics
1 answer:
NeX [460]2 years ago
8 0

Answer:

(-1.25, 0) or (-5/4, 0)

Step-by-step explanation:

The x-intercept is when y = 0, so let's plug 0 into the equation:

3(0) - 8x = 10

Now we use basic algebra to solve for x:

0 - 8x = 10

-8x = 10

x = -5/4 or -1.25

So the answer is (-1.25, 0) or (-5/4, 0).

Hope this helps (●'◡'●)

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Step-by-step explanation:

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2 years ago
Which of the following are the coordinates of the vertex of y = −x2 + 2x + 1? (2, 1) (1, –2) (1, 2) (–2, 1)
IceJOKER [234]

Answer:

C

Step-by-step explanation:

We want to determine the vertex of the quadratic equation:

\displaystyle y = -x^2 + 2x + 1

Recall that the vertex is given by the formulas:

\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)

In this case, <em>a</em> = -1, <em>b</em> = 2, and <em>c</em> = 1.

Determine the <em>x-</em>coordinate of the vertex:

\displaystyle x = -\frac{(2)}{2(-1)} = 1

To determine the <em>y-</em>coordinate, evaluate the function at <em>x</em> = 1:

\displaystyle \begin{aligned} y(1)&= -(1)^2 + 2(1) + 1 \\ &= 2\end{aligned}

In conclusion, the vertex of the quadratic equation is (1, 2).

Hence, our answer is C.

3 0
2 years ago
The sum of 11.6 and 4.1 by rounding each number to the nearest whole.
Karo-lina-s [1.5K]
11.6 rounded to the nearest whole is 12 and 4.1 rounded to the nearest whole is 4 (rule is if the decimal [or number in general] is 4 or lower, the whole stays the same and if the number is 5 or higher, the whole goes up by one). 12+4=16
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What is the value of z in the table?
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6 0
2 years ago
What is the answer to this math problem
pishuonlain [190]

Answer:

Domain: c)

Range: d)

Step-by-step explanation:

The domain means all of the possible x-values. To find the domain, find the leftmost and rightmost value of x. They are 0 and 8.5.

The range means all of the possible y-values. To find the range, find the lowest and higher values for y. They are 0 and 12.5.

"All numbers" means x or y can be any number, decimal decimal numbers. "Whole numbers" mean x or y can only be numbers that don't have decimals.

Both x and y can be decimal numbers because the graph is not broken up. If it could only be whole numbers, the graph would be dots.

4 0
3 years ago
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