Mathematics High School

7. What are the x-intercepts of the graph of y = (3x +8)(5x - 3)(x - 1)?

Answers

Answer 1

Answer:

y = 15x^3 + 16x^2 - 55x + 24

Step-by-step explanation:

y = (3x +8)(5x - 3)(x - 1)

y = (15x^2 - 9x + 40x -24) * (x - 1)

y = (15x^2 + 31x - 24) * (x-1)

y = 15x^3 - 15x^2 + 31x^2 - 31x - 24x + 24

Answer 2

The x-intercepts of a graph are the points where the graph crosses the x-axis.

The x-intercepts are: [tex]\mathbf{x = ,-\frac83, \frac 35\ and\ 1}[/tex]

The function is given as:

[tex]\mathbf{y = (3x + 8)(5x - 3)(x - 1)}[/tex]

First, we plot the graph of [tex]\mathbf{y = (3x + 8)(5x - 3)(x - 1)}[/tex]

See attachment for the graph

Next, write out the x-values when the graph crosses the x-axis.

From the graph, we have:

[tex]\mathbf{x = -\frac 83}[/tex]

[tex]\mathbf{x = \frac 35}[/tex]

[tex]\mathbf{x = 1}[/tex]

Hence, the x-intercepts are: [tex]\mathbf{x = ,-\frac83, \frac 35\ and\ 1}[/tex]

Related Questions

Jack can long-jump 195% of his height with a running start. If Jack is 50 inches tall, how far can he long-jump?

Answers

Answer: 97.5 in

1.95 x 50 = 97.5

Jack can jump upto 97.5 inches.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have Jack who can long-jump 195% of his height with a running start.

Assume that he can jump a height of [x] inches. So -

x = 195% of 50

x = (195/100) x 50

x = 97.5 inches

Therefore, Jack can jump upto 97.5 inches.

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https://brainly.com/question/14184508

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CD and EF are parrellel to AB.They divide the area of triangle PAB into three equal parts. If PE=1, what is AC?

Answers

Answer:

AC is approximately 0.3178

Step-by-step explanation:

The given parameters are;

In ΔPAB

CD ║ EF ║ AB

The area of triangle ΔPEF = 1/3 × area of triangle ΔPAB

Therefore, PE = 1/√3·PA

PA = √3

We have area of ΔPCD = 2/3 × area of triangle ΔPAB

∴ PC = √(2/3) × PA = √(2/3) × √3

PC = √2

Therefore, AC = PA - PC = √3 - √2

AC = √3 - √2 ≈ 0.3178

The balance of a loan is $2,570 in January, and the monthly payment is $125.50. The relationship between the loan balance, y, and the number of monthly payments made since January, x, can be represented by the equation y = 2,570 - 125.50x. In what months does the loan balance, y, meet the condition, $1,600 < y < $2,000? January February March April May June July August September October November December

Answers

Answer:

600<2570-125.5x<2000 subtract 2570 from all terms...

-970<-125.5x<-570 divide all terms by -125.5 (and reverse signs because of division by a negative!)

7.73>x>4.54 and x is months since January, and since months can only be integers...

x=[5,7]

So January + 5, 6, and 7 respectively are the three months that satisfy the equation...

June, July, and August.

Step-by-step explanation:

An online DVD rental site charges a monthly membership fee of $10,
plus $4 per DVD that is rented. The relationship between the number of
DVDs rented and the total charge per month can be expressesd as t =
4d + 10, where d is the number of DVDs rented and t is the total
charge per month. What is the appropriate domain for this situation?
A. the set of all the positive real numbers
B. the set of all integers
C. the set of all positiveintegers
D. the set of all real numbers

Answers

Answer:

666

Step-by-step explanation:

help with khan academy plzzz!!!

Answers

Answer:

Your slope is 2/3

Step-by-step explanation:

Rise/Run

=2/3

Simplify
-8 - 6x – 5 + 2x

Answers

Answer:

-13 - 4x

Step-by-step explanation:

Use compatible numbers to estimate the number 5,686.
What is the estimated version of 5,686 divided by 80?

Answers

Answer:

The esitmated version of 5686 divided by 80 is 5680/80.

Step-by-step explanation:

Both numbers are compatible, and they round correctly.

Thank you hope this helped!

What is the Domain and Range of this figure?

Answers

Domain = (-Infiniti,5]
Range = (-infinity, infinity)

use the coordinates of the labeled point to find a point-slope equation of the line.

Answers

Answer:

the answer is D

Step-by-step explanation:

Select the correct answer. Which statement is true about this equation? -9(x + 3) + 12 = -3(2x + 5) − 3x A. The equation has one solution, x = 1. B. The equation has one solution, x = 0. C. The equation has no solution. D. The equation has infinitely many solutions.

Answers

Answer:

its D

Step-by-step explanation:

-9(x + 3) + 12 = -3(2x + 5) − 3x

-9x-27+25 = -6x-15-3x

-9x-15 = -9x - 15

same on both sides

so x has infinitely many solutions

The equation has no solutions. Option C is correct.

To figure out which statement is true for equation -9(x + 3) + 12 = -3(2x + 5) − 3x.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
-9(x + 3) + 12 = -3(2x + 5) − 3x.
Simplification,
LHS
= -9(x + 3) + 12

= -9x -21 + 12
= -9x -9

RHS,
= -3(2x + 5) − 3x
= -6x - 15 - 3x
= -9x - 15
Equation RHS and LHS,
-9x - 15 = -9x -9
-15 = -9
Implies, the value of x terminate means the given expression has no solution,

Thus, the equation has no solutions. Option C is correct.

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can someone help me w this pls

Answers

Answer:

a = 2b/c

Step-by-step explanation:

Where is the blue dot on the number line? help pls

Answers

Answer:

-4.9

Step-by-step explanation:

The intervals are by 0.1 because in the lenght of 0.5, there are five small lines. One line greater than 5 would be -4.9.

Find four consecutive integers whose sum of 456

Answers

Answer: 111, 113, 115 and 117.

Step-by-step explanation:

If a triangle has vertices A (-5, 1), B (3, 5) and C (2, -3),

A. find each side length

B. classify the triangle based on the sides

Answers

Answer:

Step-by-step explanation:

Which option will result in the most exercise per day?

15, 30, and 60 are all
.

1, 2, and 4 are all
.

60 minutes is a
.

Which option will result in the most exercise per day?

Answers

60 minutes is an hour , you haven't given out what the 15, 30 and 60 are , and the 1 , 2 and 4 are(minutes or hours?)

I can’t find an answer anywhere

Answers

Answer:

Step-by-step explanation:

hope it helps

Just find x and y coordinates x coordinates on the horizontal axis and y coordinates on vertical axis

PLEASE HELP I WILL GIVE BRAINALIST

Answers

Answer:

1. 300%

2. 108

3. 60

Step-by-step explanation:

Hope this helps!

26. 33.33% is 37 percent of 11

27. 48%

28. 60 seeds

Find the solution of the system of equations.

First equation,

4x – 3y = -13

Second equation,

-2 + 6y = -44

Answers

Answer:

the answer is Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(−17/2, -7)

Equation Form:x=-17/2 y=-7

Answer:

Step-by-step explanation:

I will answer it if the other person doesnt

What is the slope for this problem?

Answers

Slope would be 0 since the graph does not go rise or fall, it stays straight

anyways find );):); and chief

Find the measure of the indicated angle to the nearest degree

Answers

Answer:

14°

Step-by-step explanation:

Using inverse tangent and the opposite over adjacent you can find this. Tan*-1(8/33) and then just round up

!!!HELP ME WITH THIS QUESTION PLEASE!!!

Answers

Answer:

Step-by-step explanation:

Can you mark me brailiest tho...?

this is a bit tricky question cause in some casses it is coming wrong but I guess it is option a

The regular price of a video game is $50. The game is on sale for 20% off the regular price.

Find the sale price of the game.

Find the total price, with a sales tax rate of 8%. (*Hint: Sales tax is an additional amount paid.)
HELP PLEASE!!!

Answers

Answer:

Sale Price:

50x-20%=10

50-10= 40

Total Price:

40x-8%=3.20

40+3.20= 43.20

Step-by-step explanation: If you encounter more problems like this, use the x and - method! Its easier to understand and a shorter method :)

The length of a rectangle is 1 inch more than 2 times its width. the area of the rectangle is 36 suare inches. what is the lenght of the rectangle.

Answers

Answer:

Step-by-step explanation:

Which of the following is a valid conclusion based on the given argument?
If 2x + 3 = 13, then x = 5.

Answers

Answer:

Given that x=5, when we substitute in 5 for 2x + 3 = 13, the equation will turn out to be true.

Step-by-step explanation:

2x + 3 = 13 x=5

2(5)+3=13

10+3=13

13=13

2x + 3 = 13

x=5

2(5)+3=13

10+3=13

13=13

So ummm wut s x+45=98 ?

Answers

Answer:

Step-by-step explanation:

x+45=98

solve for x

x+45=98

-45 -45

x=53

A rectangle has a perimeter of 58 m and a length of 20 m. What is
the width of this rectangle in metres?

Answers

Answer:

9 meters

Step-by-step explanation:

What is the radius of a circle with a diameter of 100

Answers

Answer:

Step-by-step explanation:

Hope this helps :)

Answer:50

Step-by-step explanation:

100 ÷ 2=50

HELP ME FIND SLOPE!! PLZ

Answers

Answer:

Step-by-step

the slope is 1, 1

explanation:

rise over run it is a positive slope btw

5b-b-1 > or equal too-11

Answers

Answer:

-2.5

Step-by-step explanation:

5b - b - 1 ≥ -11

4b - 1 ≥ -11

+1 +1

4b ≥ -10

4/4 -10/4

b ≥ -2.5

Answer:

b ≥ [tex]-\frac{5}{2}[/tex]

Step-by-step explanation:

The expression:

5b - b - 1 ≥ -11

Now to solve this problem, we must be aware of some rules of inequality.

When dividing or multiplying with a negative value, the sign of the inequality must change;

5b - b - 1 ≥ -11

4b - 1 ≥ -11

Add + 1 to both sides;

4b -1 + 1 ≥ -11 + 1

4b ≥ -10

Now divided both sides by 4;

[tex]\frac{4b}{4}[/tex] ≥ [tex]\frac{-10}{4}[/tex]

b ≥ [tex]-\frac{5}{2}[/tex]

90 POINTS- Please help with this geometry question! I have the answer because I assumed it was congruent, but I don't have the statement reasons.

Answers

Answer:

A Δ DOC = 6 in²

Step-by-step explanation:

Look at the attached graph

∵ ABCD is a trapezoid with legs AB and CD

∴ AD // BC

In Δs ABC and DCB

∵ BC is a common base

→ The heights of the Δs drawn from the points A and D to the base

BC are equal because the line joining A and D, AD is parallel to

the base BC

∴ Their heights are equal

→ Triangles of the same base and equal heights are equal in areas

∴ A Δ ABC = A Δ DCB

∵ A Δ ABC = A Δ ABO + A Δ BOC

∵ A Δ DCB = A Δ DOC + A Δ COB

→ Equate their right sides

∴ A Δ ABO + A Δ BOC = A Δ DOC + A Δ COB

∵ A Δ BOC = A Δ COB ⇒ common triangle

∴ A Δ ABO = A Δ DOC

∵ A Δ ABO = 6 in²

∴ A Δ DOC = 6 in²

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