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2 years ago

A quadratic polynomial whose zeroes are -6 and -7 is

Mathematics

1 answer:

TEA [102]2 years ago

8 0

Answer:

x² + 13x + 42 = 0

Step-by-step explanation:

(x + 6)(x + 7) = x² + 7x + 6x + 42 = x² + 13x + 42

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64 percent of 75 tiles as a percent

postnew [5]

The answer is 48--- 64% of 75=48

3 0

2 years ago

What is the equation of the line that goes through (-5,0) and (-4,4)

Tasya [4]

Answer:

$y=4x+20$

Step-by-step explanation:

To write an equation, use the slope-intercept equation:

$y=mx+b$

M is the slope and b is the y-intercept.

First, find the slope by using the slope formula for when you have two points:

$\frac{y(2)-y(1)}{x(2)-x(1)}=\frac{rise}{run}$

Rise over run is the change in the y-axis over the change in the x-axis. Substitute values:

$(-5,0)(-4,4)\\(-5(x1),0(y1))\\(-4(x2),4(y2))\\\\\frac{4-0}{-4-(-5)}$

Simplify parentheses (two negatives make a positive) and simplify:

$\frac{4-0}{-4+5}\\\\\frac{4}{1}=4$

The slope, m, is 4. Insert this information into the equation:

$y=4x+b$

Now, take one of the points and insert into the slope-intercept formula:

$(-5,0)\\(-5(x),0(y))\\\\0=4(-5)+b$

Solve for b, the y-intercept. Simplify multiplication:

$0=-20+b$

Add 20 to both sides and simplify:

$0+20=-20+20+b\\20=b\\b=20$

The y-intercept, b, is 20. Insert this value into the equation:

$y=4x+20$

Done.

7 0

3 years ago

It is known that 40% of adult workers have a high school diploma. If a random sample of 10 adult workers is selected, what is th

Maurinko [17]

Answer:

The expected number of adult workers with a high school diploma is 4.

Step-by-step explanation:

This random variable X can be modeled with the binomial distribution, with parameters n=10 (the sample size) and p=0.4 (the probability that a adult worker have a high school diploma).

The expected value of X is then the mean of the binomial distribution with the parameters already mentioned.

This is calculated as:

$E(X)=\mu_b=n\cdot p=10\cdot0.4=4$

4 0

2 years ago

A company sells fruit cups in packs of 4. The packs currently weigh 20 oz. The company plans to reduce the weight of each cup by

skad [1K]

Answer:

4 ( 5 - n )

Step-by-step explanation:

The expression:

20 – 4n

Task: Rewrite the expression for the new weight as a product of two factors.

To do this we simply have to find the highest common factor (HCF) between 20 and 4n

20 = 4 * 5

4n = 4 * n

The HCF = 4

Expressing as a product of two factors;

4 ( 5 - n )

6 0

2 years ago

Select True or False for each statement.

sergiy2304 [10]

Answer:

a true

b false

c false

...............

7 0

2 years ago

A quadratic polynomial whose zeroes are -6 and -7 is​

A quadratic polynomial whose zeroes are -6 and -7 is