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3 years ago

What is 14 a + 21 b + 4A + 5B - 6b simply

Mathematics

2 answers:

Nat2105 [25]3 years ago

8 0

18a + 20b Now it let me do a answer, hopefully this helped :)

bearhunter [10]3 years ago

7 0

8a+21b+4A+5B

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

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WILL MARK BRAINIEST

antiseptic1488 [7]

A) (0,1), (1,-2), (-1,4), (2,-5)
b) (0,4), (-1,2), (-2,0), (1,6)
c) (-2,-7), (-1, -7), (0,-7), (1, -7)

3 0

3 years ago

Find the quation of the quadratic function with roots 0 and 4 and a vertex at (2,-2)

Nookie1986 [14]

Answer:

y = (1/2)x² -2x

Step-by-step explanation:

recall that the general equation of a quadratic function is:

y = Ax² + Bx + C

given that 0 and 4 are roots, that means when x = 0 and x = 4, then y = 0

From this we can get 2 points on the curve, namely, (0,0) and (4,0)

substituting these points one at a time into the equation above,

for the first point (0,0),

0 = A (0)² + b(0) + C

C = 0

hence the equation becomes: y = Ax² + Bx

for the 2nd known point (4,0)

0 = A(4)² + B(4)

0 = 16A + 4B (divide both sides by 4)

0 = 4A + B

B = -4A ------------(eq 1)

we are given a 3rd point, vertex at (2,-2)

for (2,-2)

-2 = A(2²) + B(2)

-2 = 4A + 2B (divide both sides by 2)

-1 = 2A + B (subtract 2A from both sides)

B = -1 -2A --------(eq 2)

solving the system of equations using the method of your choice in eq1 and eq 2 gives:

A = 1/2 and B = -2

hence the equation is

y = (1/2)x² -2x

7 0

3 years ago

From a July 2019 survey of 1186 randomly selected Americans ages 18-29, it was discovered that 248 of them vaped (used an e-ciga

jasenka [17]

Answer:

The 90% confidence interval is (0.1897, 0.2285).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence interval $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

Z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$

For this problem, we have that:

From a July 2019 survey of 1186 randomly selected Americans ages 18-29, it was discovered that 248 of them vaped (used an e-cigarette) in the past week. This means that $n = 1186, \pi = \frac{248}{1186} = 0.2091$

Construct a 90% confidence interval to estimate the population proportion of Americans age 18-29 who vaped in the past week.

So $\alpha = 0.10$ , z is the value of Z that has a pvalue of $1 - \frac{0.10}{2} = 0.95$ , so $z = 1.645$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2091 - 1.645\sqrt{\frac{0.2091*0.7909}{1186}} = 0.1897$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2091 + 1.645\sqrt{\frac{0.2091*0.7909}= 0.2285$

The 90% confidence interval is (0.1897, 0.2285).

3 0

3 years ago

The following dot plot represents a random sample of elementary students and the number of children that live in their home.

maw [93]

Answer:

do. you know what the poem states nean please i need help

Step-by-step explanation:

please help me

5 0

3 years ago

Draw Line HI perpendicular to Line JK<br> (be sure to include appropriate markings)

kirill [66]

To draw line HI perpendicular to JK we need to follow the given steps:

Place your compass on the given point (point H). Draw an arc across the line on each side of the given point. Do not adjust the compass width when drawing the second arc.

From each arc on the line, draw another arc on the opposite side of the line from the given point (H). The two new arcs will intersect.

Use your ruler to join the given point (H) to the point where the arcs intersect (I).

HI is perpendicular to JK.

What is perpendicular?

Two distinct lines intersecting each other at 90°, or a right angle, are called perpendicular lines.

Properties of Perpendicular Lines

These lines always intersect at right angles.
If two lines are perpendicular to the same line, they are parallel to each other and will never intersect.
Adjacent sides of a square and a rectangle are always perpendicular to each other.
The sides of the right-angled triangle enclosing the right angle are perpendicular to each other.

To learn more about perpendicular lines,

brainly.com/question/1202004

#SPJ9

4 0

1 year ago

What is 14 a + 21 b + 4A + 5B - 6b simply ​

What is 14 a + 21 b + 4A + 5B - 6b simply