Help answering these math questions

Mathematics

2 answers:

Leto [7]3 years ago

5 0

I’m pretty sure the first one is c

Gwar [14]3 years ago

5 0

Answer:

Step-by-step explanation:

1. $y = x^{2} - 2x- 15 = x^{2} - 5x +3x -15 = x(x-5) + 3(x-5) = (x-5)(x+3)$

$4x^{2} - 8x - 12 = 0\\x^{2} - 2x - 3 = 0\\x^{2} - 3x + x - 3 = 0\\ x(x-3) + 1 (x-3) = 0\\(x-3)(x+1) = 0$

x= 3 and x = -1

3. $x^{2} - 36 = 0$

(x-6) (x+6) = 0

x = 6 and -6

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A car manufacturer crash tests a certain model of car and measures the impact force. The test and model in question produce impa

pychu [463]

Answer:

Step-by-step explanation:

Given :

Mean, m = 30 metric tons

Standard deviation (s) = 1.5 metric ton

Sample size, n = 4

Since the impact force in the test model is normally distributed, the shape of the sampling distribution will also be approximately normal with a mean equal to the mean of the test model.

Hence, the sample mean impact force will be equal to the population mean.

Therefore, sample mean = 30 ; population mean = 30

8 0

3 years ago

Read 2 more answers

PLEASE HELP I WILL GIVE BRAINLEST AND 20 POINTS PLEASEEEE

rewona [7]

Answer:

Question 4: Which equation is parallel to the above equation and passes through the point (35, 30)

$y=$ $\frac{5}{7} x + 5$ is the correct answer, I found this by inputting the x and y value of the coordinate (35, 30) onto the equation and solving for y-intercept since the slope of all equations is the same (since it's traveling parallel)

$30 = \frac{5}{7} (35) + y\\30 = 25 + y\\5 = y$

so the equation would be $y=$ $\frac{5}{7} x + 5$

Question 5: Which equation is perpendicular to the above equation and passes through the point (35, 30)

$y=\frac{-7}{5} x+79$ is the correct answer, I found this using the same method as before, input coordinate values into the equation and solve for the y-intercept (The only thing changed from the last answer is the opposite reciprocal slope).