MATHEMATICS HIGH SCHOOL

Complete the synthetic division to find the quotient of 3x^3-25x^2+12x-32 and x-8

Answers

Answer 1

Answer:

Answer:

Explanation:

Hey there!

Please see your required solution in picture.

Quotient Q(X) = 3x²-x+4

Hope it helps!

Answer 2

Answer:

Answer:

see image

Step-by-step explanation:

Plato/Edmentum

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Mr. Johnson bought 1.8 pounds of grapes for $2.20 per pound. How much did the grapes cost Mr. Johnson to purchase?A. $3.96B.$3.80C.$0.40D.$5.40
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Another name for positive integers is

Below are the ages of 21 CEOs. 46, 48, 49, 49, 50, 52, 54, 55, 57, 57, 58, 59, 60, 61, 62, 62, 63, 63, 65, 67, 75 Find the mean- median- mode- Are there any outliers? Explain.

Answers

Answer:

Mean: 57.7

Median: 58

Mode: 49, 57, 62, 63

Outliers: None

Step-by-step explanation:

A fish tank contains 18 goldfish and 22 guppies. If you randomly select 2 fish, what is the probability that they are both goldfish?

Answers

18 goldfish+22 guppies=40 total
18/40 are goldfish and 22/40 are guppies
Odds that 1 goldfish is chosen at random is 18/40 or 9/20 when simplified so odds that 2 goldfish are chosen at random is 9/20×9/20=81/400 or 20.25%

WORTH 50!! Answer it with explanation and the answer is not y+6 I have some idea on how to do this.

Answers

Answer:

Therefore, equation of the line that passes through (16,-7) and is perpendicular to the line $2x-3y=12$ is $3x+2y=34$

Step-by-step explanation:

Given:

$2x-3y=12$

To Find:

Equation of line passing through ( 16, -7) and is perpendicular to the line

$2x-3y=12$

Solution:

$2x-3y=12$ ...........Given

$\therefore y=(2)/(3)* x-4$

Comparing with,

$y=mx$

Where m =slope

We get

$Slope = m1 = (2)/(3)$

We know that for Perpendicular lines have product slopes = -1.

$m1* m2=-1$

Substituting m1 we get m2 as

$m2=-(3)/(2)$

Therefore the slope of the required line passing through (16 , -7) will have the slope,

$m2=-(3)/(2)$

Now the equation of line in slope point form given by

$(y-y_(1))=m(x-x_(1))$

Substituting the point (16 , -7) and slope m2 we will get the required equation of the line,

$(y-7)=-(3)/(2)* (x-16)\n\n2y+14=-3x+48\n3x+2y=34......Equation\ of\ line$

Therefore, equation of the line that passes through (16,-7) and is perpendicular to the line $2x-3y=12$ is $3x+2y=34$

Please solve the math problem for me... I will mark you brainliest

Answers

Answer:

$x=34$

Step-by-step explanation:

*it's kind of hard to read the number in parenthesis though but i think it's 5

both angles have to add up to 180º because they are co-exterior angles on parallel lines.

$2(x+5)+102=180\n2(x+5)=78\n2x+10=78\n2x=68\nx=34$

Matthew is going to drive from Salt Lake City, Utah, to Las Vegas, Nevada. His car travels a consistentnumber of miles

per gallon of gasoline and he has some gasoline in his tank already. Matthew writes the

equation 25(x + 3) = 424, where x represents the number of gallons of gasoline he will need to purchase to

complete the trip.

Identify the meaning of each of the constants in Matthew's equation in the context of the problem, then solve

the equation to determine how many gallons of gasoline he must purchase.

Answers

Answer: 14 gallons of gasoline.

Step-by-step explanation:

given data:

25(x + 3) = 424

where x is the number of gallon of gasoline needed to purchase.

Solution.

25(x + 3) = 424

first we open the bracket

25x + 75 = 424

collect like terms

25x = 424 – 75

25x = 349

divide both sides by 25

25x/25 = 349/25

x = 13.96

x = 14

mathew needs to get 14 gallons of gasoline.

Plz answer this math problem
Solve problems a,b,c,d,e,and f. With the graph

Answers

Answers:

a. f(-4)=2

b. f(0)=0

d. f(-5)=0

e. x when f(x)=-2 answer: 2

f. x when f(x)=0 answer: 0

Sorry, I can’t answer c. f(3)= because when x is three from the x-axis on the graph, the line that meets 3 from the x-axis doesn’t show a whole number y-coordinate on the graph :(

But I hope this helps and answers your question :)

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