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2 years ago

Part of the graph of the function f(x) = (x + 4)(x – 6) is shown below.

Mathematics

2 answers:

zhuklara [117]2 years ago

5 0

Answer:

The vertex of the function is at (1,–25)

The graph is positive only on one interval, where x < –4.

Step-by-step explanation:

svlad2 [7]2 years ago

3 0

Answer:

Step-by-step explanation:

hello :

1) The vertex of the function is at (1,–25).

2)The graph is positive only on one interval, where x < –4.

You might be interested in

Given: -1/2x > 6.<br><br> Choose the solution set.

kompoz [17]

Answer:

x < -12

Step-by-step explanation:

-1/2x > 6

Multiply by -2 to isolate x

Remember that when multiplying by a negative, we flip the inequality

-2 * -1/2x < 6*-2

x < -12

4 0

2 years ago

(show ur work) Each bag of gourment popcorn for a school fundraiser costs $6.75. The total amount received from the popcorn sale

Alinara [238K]

Answer:

725 Boxes of Popcorn

Step-by-step explanation:

You can do it simply by just typing in the calculator 4893.75÷6.75.

But I can show my work. Picture below

5 0

1 year ago

Lengths of full-term babies in the US are Normally distributed with a mean length of 20.5 inches and a standard deviation of 0.9

mash [69]

Answer:

66.48% of full-term babies are between 19 and 21 inches long at birth

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean length of 20.5 inches and a standard deviation of 0.90 inches.

This means that $\mu = 20.5, \sigma = 0.9$

What percentage of full-term babies are between 19 and 21 inches long at birth?

The proportion is the p-value of Z when X = 21 subtracted by the p-value of Z when X = 19. Then

X = 21

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{21 - 20.5}{0.9}$

$Z = 0.56$

$Z = 0.56$ has a p-value of 0.7123

X = 19

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{19 - 20.5}{0.9}$

$Z = -1.67$

$Z = -1.67$ has a p-value of 0.0475

0.7123 - 0.0475 = 0.6648

0.6648*100% = 66.48%

66.48% of full-term babies are between 19 and 21 inches long at birth

5 0

2 years ago

Write the standard form of the equation of each line given the slope and y- intercept

SOVA2 [1]

Standard form is y=mx+b

y=9x+4

7 0

2 years ago

I need some help with this, please explain well. It's Trigonometry with right triangles, please let me know if you need a better

andreyandreev [35.5K]

Answer:

x = 12

Step-by-step explanation:

First you figure out which function your going to use. I notice that from the angle we have 5 which is the opposite side and 23 which is the adjacent side. This means we have to use tangent.

Then set up your equation: tan(x)=5/23. This is because the opposite side is 5 and the adjacent is 23 and it must be set up in that order.

Next get x alone by making the equation: x=tan^-1(5/23).

Then put it into the calculator and round to get 12.

5 0

3 years ago