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3 years ago

(-4 , y) and (0 , -1); slope: -2

Mathematics

1 answer:

slava [35]3 years ago

5 0

Answer:

-8

Step-by-step explanation:

-1 - y = x

0 - -4 = 4

x / 4 = -2

x = 4 * -2

x = -8

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consider the graph of the following qudratic equation. y= -x^2 -10x + 24.What is the y-value of the vertex?

3241004551 [841]

Given that the quadratic equation is $y=-x^{2}-10 x+24$

We need to determine the y - value of the vertex.

<u>The x - value of the vertex:</u>

The x - value of the vertex can be determined using the formula,

$x=-\frac{b}{2 a}$

where $a=-1, b=-10, c=24$

Substituting these values, we get;

$x=-\frac{(-10)}{2(-1)}$

Simplifying the terms, we get;

$x=-\frac{-10}{-2}$

$x=-5$

Thus, the x - value of the vertex is -5.

<u>The y - value of the vertex:</u>

The y - value of the vertex can be determined by substituting the x - value of the vertex ( x = -5) in the equation $y=-x^{2}-10 x+24$

Thus, we get;

$y=-(-5)^{2}-10(-5)+24$

Simplifying the values, we have;

$y=-25+50+24$

$y=49$

Thus, the y - value of the vertex is 49.

8 0

2 years ago

First to answer correctly gets brainliest

Readme [11.4K]

Answer:

240 $\leq$ 12.5p + 65

14 $\leq\\$ p

Step-by-step explanation:

I'll explain the equation in different parts

12.5p - Since the number of times he visits is unknown, it has to be a variable. With each visit, however, he earns 12.5 points.

65 - This is a set value that remains constant

240 $\leq\\$ - Since he needs AT LEAST 240 points, he needs 240 points or more to get his free ticket

As for solving the equation just use properties of equality

240 $\leq$ 12.5p + 65

175 $\leq$ 12.5p

14 $\leq\\$ p

7 0

3 years ago

A roller coaster at six flags is 1.5 kilometers long. how many miles is it?

bagirrra123 [75]

The answer will be 0.932057

8 0

3 years ago

Each year, all final year students take a mathematics exam. It is hypothesized that the population mean score for this test is 8

drek231 [11]

Answer:

95% Confidence interval: (96.06,103.94)

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 85

Sample mean, $\bar{x}$ = 100

Sample size, n = 30

Alpha, α = 0.05

Population standard deviation, σ = 11

95% Confidence interval:

$\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

$100 \pm 1.96(\frac{11}{\sqrt{30}} ) = 100 \pm 3.94= (96.06,103.94)$

(96.06,103.94) is the 95% confidence interval for the population mean test score.

8 0

3 years ago

Please, can somebody help me, thanks!

mario62 [17]

#2 #3 and #5 I think but I could be wrong. Good luck!

8 0

3 years ago

(-4 , y) and (0 , -1); slope: -2​

(-4 , y) and (0 , -1); slope: -2