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2 years ago

Find the values for a and b that would make the equality true.

Mathematics

1 answer:

zepelin [54]2 years ago

8 0

Answer:

a = - 4, b = 5

Step-by-step explanation:

Expand the left side, then compare the coefficients of like terms.

- 3(2x² + ax + b)

= - 6x² - 3ax - 3b, compare to - 6x² + 12x - 15

Compare coefficients of x- terms

- 3a = 12 ( divide both sides by - 3 )

a = - 4

Compare constant terms

- 3b = - 15 ( divide both sides by - 3 )

b = 5

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Truck tire life is normally distributed with a mean of 60,000 miles and a standard deviation of 4,000 miles. what is the probabi

olasank [31]

To solve for the P(54,000≤x≤66000) we proceed as follows:
z-score=(x-μ)/σ
μ-60000
σ-4000
thus:
when x=66,000
z-score=(66000-60000)/4000=1.5
P(z≤1.5)=0.9332
when x=54000
z=(54000-60000)/4000
z=-1.5
P(z≤-1.5)=0.0668
thus
P(54,000≤x≤66000)
=P(z≤1.5)-P(z≤-1.5)
=0.9332-0.0668
=0.8664

Answer: 0.8664

8 0

2 years ago

The Great Pyramid of Giza is located in Egypt. It has a height of about 460 ft, and width of its square base is about 55ft..

svlad2 [7]

First try it out yourself then compare answers. Remember, all squares have the same length per each side.

a) 3025

b) 25300

3 0

2 years ago

Read 2 more answers

At Yo-Yo Yogurt, the scale says that Sara has 8 ounces of vanilla yogurt in her cup. Her father’s yogurt weighs 11 ounces. How m

saveliy_v [14]

Answer: $1 \frac{3}{16}\ lb$

Step-by-step explanation:

You know that Sara has 8 ounces of vanilla yogurt in her cup and her father’s yogurt weighs 11 ounces. Then, the total ounces of frozen yogurt they buy altogether is:

$total_{(ounces)}=8\ oz+11\ oz\\\\total_{(ounces)}=19\ oz$

The next step is to make the conversion from ounces to pounds.

You need to remember that:

$1\ lb=16\ oz$

Therefore:

$total_{(pounds)}=(19\ oz)(\frac{1\ lb}{16\ oz})=\frac{19}{16}\ lb$

This result expressed as a mixed number, is:

$total_{(pounds)}=1\frac{3}{16}\ lb$

8 0

2 years ago

I need help anyone know

kaheart [24]

Answer:

yes ur correct its nonlinear lol

Step-by-step explanation:

6 0

2 years ago

the height of a triangle is 4 meters less than the base. if the area of the triangle is 6 m^2 what is the height of the triangle

inna [77]

Answer:

$2m$

Step-by-step explanation:

Alrighty let's do this.

We know that formula for the Area of a triangle is:

$A = \frac{1}{2}bh$

They give us the area as $6m^2$ , so let's include it in the equation.

$6 = \frac{1}{2}bh$

Now we reach a stage where we have 2 unknown variables! That means we can't solve it in its current state. So the idea you should have in cases like these where you have 2 or more unknown variables is, "Can I represent this one variable in terms of another variable?" In this case you can do exactly that. You can represent height in terms of length of the base. We are told the height of the triangle is 4 meters less than the base. That is telling us that $h = b-4$

So replace $h$ in the equation with $b-4$ .

You will now get:

$6 = \frac{1}{2}b(b-4)$

Now we can work towards solving. Let's get simplifying.

$12 = b(b-4)\\12 = b^2 - 4b\\$

bring everything to one side so we can make a quadratic and factor:

$0 = b^2 - 4b - 12\\0 = (b-6)(b+2)\\\\b = 6\\b\neq -2$

We get that $b=6$ .

Since we need the height of the triangle we'll need to call back on what h is. We found earlier that $h = b - 4$ , so to find h, we just sub in our b value into that.

$h = (6) - 4 = 2$

We find that $h=2$

7 0

1 year ago