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2 years ago

9

-HELPPP!

1 answer:

suter [353]2 years ago

8 0

Answer:

p(x) = A(x - 4i)(x + 4i)(x - 3)(x + 3), with A = 1.

it matches

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How would you find the quadratic that goes through the point (4,0), the axis of symmetry is x=7, and it also goes through the po

nasty-shy [4]

9514 1404 393

Answer:

y = (5/27)(x -7)^2 -5/3

Step-by-step explanation:

Use the given points to find the unknowns in the equation.

If the axis of symmetry is x=7, then the equation can be written in the form ...

y = a(x -7)^2 +b

Filling in the two point values, we have two equations:

0 = a(4 -7)^2 +b ⇒ 9a +b = 0

5 = a(1 -7)^2 +b ⇒ 36a +b = 5

__

Subtracting the first equation from the second, we have ...

(36a +b) -(9a +b) = (5) -(0)

27a = 5

a = 5/27

Substituting that value into the first equation gives ...

9(5/27) +b = 0

5/3 +b = 0

b = -5/3

So, the quadratic can be written in vertex form as ...

y = (5/27)(x -7)^2 -5/3

4 0

3 years ago

Which of the following is an irrational number?

Art [367]

The answer is B for that question.

6 0

3 years ago

Lucy had math and reading homework tonight. Lucy can solve each math problem in 5 minutes and she can read each page in 2.5 minu

drek231 [11]

Answer:

$x=18,y=6$ , graph is there for reference.

Step-by-step explanation:

Given,

$x$ is the number of math problem Lucy solved.

$y$ is the number of pages she read.

She can do each math problem in $5$ minutes, therefore she can solve $x$ number of questions into $5 \times x=5x$ minutes.

She can read each page in $2.5$ minutes, therefore she can read $y$ pages in 2.5y minutes.

As per given detail,

$5x+2.5y=105$ equation 1.

And,

It is given that number of math problems Lucy solved is 3 times the number of pages she read.

$x=3y$ equation 2.

We need to find $x$ and $y$ intercept of each of the equation to graph them.

For $x-intercept$ put y=0

We will get $x=\frac{105}{5} =21$

Thus the point is $(21,0)$

Let us find $y-intercept$ by assuming $x=0$

we get $y=\frac{105}{2.5} =42$

Thus the point is $(42,0)$

Join these two points.

Similarly considering the other equation $x=3y$

Here x-intercept would be at $y=0$

We will get $x=0$

Thus the point is $(0,0)$

Let us assume on more point, say $x=30$ , we get $y=10$

Thus the point is $(30,10)$

Join these two points.

We will get a point of intersection at $(18,6)$

Thus $x=18$ and $y=6$

8 0

4 years ago

Helppppppppppppppppppp

lilavasa [31]

$\tt {Solution}$

$\tt {2 \frac{3}{4} + 5\frac{3}{5}}$

$\tt {\frac{11}{4} + \frac{28}{5}}$

$\tt {\frac{55+112}{20} }$

$\tt { \frac{167}{20} }$

$\tt {8 \frac{7}{20}}$

8 0

2 years ago

Write the slope-intercept form of the equation of the line through the given points.

Yuri [45]

<h3>Answer: y = 3x+4</h3>

Slope = 3

y intercept = 4

========================================================

Explanation:

Let's find the slope.

$m = \text{slope}\\\\m=\frac{\text{rise}}{\text{run}}\\\\m = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{7-4}{1-0}\\\\m = \frac{3}{1}\\\\m = 3$

The slope is m = 3.

The y intercept is b = 4 due to the point (0,4). The y intercept <u>always</u> occurs when x = 0.

We'll then plug those m and b values into y = mx+b to get the answer y = 3x+4

-----------

As a way to check the answer, plugging x = 0 should lead to y = 4

y = 3x+4

y = 3*0+4

y = 0+4

y = 4

So that works out. Let's try x = 1. It should produce y = 7

y = 3x+4

y = 3*1+4

y = 3+4

y = 7

That works out also. The answer is fully confirmed.

4 0

3 years ago