Mathematics Middle School

find the x-intercepts of the function g(x)=8x^{2} −10x−3

Answers

Answer 1

Answer: [tex][-\frac{1}{4}, \frac{3}{2}][/tex]

Step-by-step explanation:

Factor:

[tex]g(x) = 8x^{2} -10x-3[/tex][tex]g(x) = x^{2} -10x-24[/tex] ---> multiply constant (3) by coefficient of first term[tex]g(x) = (x+\frac{2}{8})(x-\frac{12}{8} )[/tex] ---> factor (multiplies to 24 and adds to -10. Divide factors by 8 since you multiplied by 8 in previous step)[tex]g(x) = (x+\frac{1}{4})(x-\frac{3}{2})[/tex] ---> simplify[tex]g(x) = (4x+1)(2x-3)[/tex] ---> move denominator of fraction to be coefficient of x

Solve:

[tex]0 = (4x+1)(2x-3)[/tex] ---> set equation equal to 0.[tex]0 = 4x + 1[/tex] ---> make each parentheses equal to 0.[tex]-1 = 4x[/tex] [tex]-\frac{1}{4} = x[/tex] ---> x intercept[tex]0 = 2x - 3[/tex] [tex]3 = 2x[/tex] [tex]\frac{3}{2} = x[/tex] ----> x intercept

Related Questions

Please help I don't understand.

Answers

Answer:

I think it is they want you to put the coordinates like (Y= 2 + X= -7)= (-7 , 2)

Step-by-step explanation:

hope this helps

They want you to put the coordinates on the graph table

which decription best compares the graphs of these two functions? y = -3x + 2 and x- 0, 2, 4 ,6 y- 2, 1, 0, -1

Answers

Y=-6 i think this is the answer

me need help on this homework only

Answers

Answer:

40

Step-by-step explanation:

3/2 * 5/2= 8/2 divide will equal to 4 * 2=8 *5 = 40

( i think sorry if wrong )

You already said your answer. It’s 40

Please help due at 9:45

Answers

A:8x+24-2x-10
B:12t+18-4t+20
C:8y+7-6x-21
9n+3*2n+13

Cherry is making 48 ounces of spiced cider. If she serves an equal amount to 7 people, will each person get more than 1 cup of cider or less than 1 cup?

Answers

Answer:

They would get less than 1 cup.

Step-by-step explanation:

There are 8 ounces in one cup, and if you divide 48 by 7 it is about 6.85 ounces

Answer:

8

Step-by-step explanation:

A pyramid has a square base of 64 square centimeters. The triangular faces have a base of 8 centimeters and a height of 14 centimeters. What is the total surface area of the square pyramid?

Answers

Answer:

A cube has a lateral area of 676 square feet. ... The square base of the pyramid has side lengths of 32 centimeters. ... A rectangular prism has dimensions x units, 2x units, and x + 8 units. ... The triangular bases of a triangular prism have three congruent sides, each measuring 10 ... The height of the prism is 15 centimeters.

Step-by-step explanation:

have a good day :))))

It costs $4 to enter the fair. Each ride costs $2.50. You have $21.50. How many rides can you go on? Write an equation, then solve.

Answers

21.50 = 4+2.50x
You can go on 7 rides
21.50-4.00= 17.50
17.50/2.50= 7

Answer:7 rides

Step-by-step explanation:

First subtract 21.50-4=17.50

Then divide 17.50 ÷2.50=7

The expression x + 16 ÷ 2 is an example of an ______________________ .

Answers

Answer:

algebraic expression

Step-by-step explanation:

because it's not answered and it has a x which is algebra

The expression i.e. x + 16 ÷ 2  should represent the example of the algebraic expression.

What is an algebraic expression?

It is also called as the variable expression where it should be comprise of the term via the operations like addition, subtraction, multiplication, division, etc.

So here we can conclude that The expression i.e. x + 16 ÷ 2  should represent the example of the algebraic expression.

Learn more about expression here: https://brainly.com/question/2363874

A stack of 500 pieces of paper is 2.375 inches tall. Type complete answers to the questions below in the box.

1. Diego guesses that each piece of paper is 0.025 inches thick. Explain how you know that Diego’s answer is not correct.

2. Compute the thickness of each piece of paper. Show your reasoning.

Answers

Answer:

1. Diego is incorrect because 2.375 divided by 0.025 does not equal 500.

2. 2.375 / 500 = 0.00475 inches.

Step-by-step explanation:

1. We take the thickness of the stack and divide it by the thickness of each piece of paper to get how many pieces of paper are in the stack. In this case, Diego's guess indicates that there are only 95 pieces of paper in the stack.

2. The proper formula for this would question would be 2.375 / x = 500.

x represents the thickness of each piece of paper. We can solve for x by multiplying both sides by x to get 2.375 = 500x  then we divide both sides by 500 to isolate x.  

2.375 / 500 = x    

0.00475 = x

can someone tell me the name of this graph please

Answers

Answer:

linar graph

Step-by-step explanation:

i spelled it wrong my bad

linear graph
sorry if that’s wrong-

Plssssssss Help!!!!!!
Two functions are used to solve a problem.
Function A is represented by y = 3x + 10
Function B is represented by this table of values:

Answers

Answer:

is it B ?

Step-by-step explanation:

i think this is it y=3x+10 y = 3 x + 10. Use the slope-intercept form to find the slope and y-intercept.

function b okkkhshehe

Need Help!!
If hot dogs come 6 to a pack and rolls come 8 to a pack, how many packs of each will I need to buy if I don’t want anything left over?

Answers

8 packs of hot dogs and 6 packs of rolls. 8x6=48.

Answer:

You will need to buy 4 packs of hot dogs and 3 packs of buns

Step-by-step explanation:

4 times 6 is 24

3 times 8 is 24

plz help mee thank you

Answers

Answer:

A

Step-by-step explanation:

Your answer is A


A
A
A
A
A
A
A
A

A
A
A
A
A
A

A

Write an expression to represent nine more than twice a number.

Answers

Answer: 2x+9
Explanation: 2 times a number is represented by “2x” and adding 9 is represented by “+9”

Give the product of 3 1/3 and 1/5 in simplest form.

Please help

Answers

Answer:

2/3

Step-by-step explanation:

10/3 x 1/5 = 10/15

The answer is 2/3 that is the simplest form

Please help will mark brainliest!

Answers

The answer is 2
I mean they don’t say how many they give to each student so I assume they gave each 1 pencil

Answer:

I think it's 16.

I hope this helps, Have a good day!

Step-by-step explanation:

MiKiyah invested $2,500 in a simple interest account for 2 years. At the end of the 2 years, she has earned $75 in interested. What was the simple interest rate of the account?

Answers

Answer:

if $178 $178 interest was earned in 2 2 years at an interest rate of 4%

Step-by-step explanation:

XD i tried

One-fifth of a number plus 51 is equal to twice the number plus 42.

Write out the equation, but don't solve it yet!

Practice
Think: What equation can you write to solve the problem?

Answers

Answer:

1/5x+51=2x+42

Step-by-step explanation:

1/5 of x, the number, plus 51  is equal to 2 times the number plus 42.

Answer:

The equation: [tex]\frac{1}{5}[/tex]n + 51 = 2n + 42

pls help with mah hw​

Answers

Answer:

I'm pretty sure its Quadrant 1

Answer:

1. Quadrant 2

2. (3,-4)

3. (-1,0)

Step-by-step explanation:

Write the expanded form and standard form of this number in the box below:

Four million, five hundred sixty-seven thousand, nine hundred and three hundred sixty-one thousandths

Answers

Answer:

4,567,9361

Step-by-step explanation:

Standard form:

4,567,900.361

Expanded form:

4,000,000+500,000+60,000+7,000+900+0.3+0.06+0.001

4 math questions. I'll mark brainliest!​

Answers

Y=27x ,x+y=300,y=2(7)x

help me please...... :/

Answers

Answer:

c

Step-by-step explanation:

PLEASE HELP ME ILL GIVE BRAINLIEST AND 5 STAR AND A THANK U PLZZZ

What is the best estimate for 6,193 ÷ 48 using compatible numbers?

Be sure to write the compatible numbers for the dividend and divisor, and an estimated quotient.

(I'm suppose to show my work, so also include how im going to write it pls)

Answers

Answer:

I can't show the work, but the answer is 129 r 1.

At the craft store, Kaylee bought a bag of blue and yellow marbles. The bag contained 40 marbles, and 20% of them were blue. How many blue marbles did Kaylee receive?

Answers

Answer:

The answer is 8

Step-by-step explanation:

The answer is 8 because

[tex]40*0.2 = 8[/tex]

Tori wants to purchase the new Canon Ivy mini photo printer. Target's regular price is $129.99. The Target sale flyer said to take 25% off of all mini printers.
What is the amount off?
What is the sale price?
If tax is 6%, how much tax will be charged for the item?
How much is the total cost?

Answers

Answer:

the amount off is $32.49, $7.79 is the tax, the sale price is $97.50, $105.29 is the total cost

Plsssssssssss Help!!!!!
Which equation to represent a relationship where Y is a nonlinear function of X? Select all that apply.

Answers

Answer: A : no

              B : no

              C : yes

              D : yes

              E : yes

              F : yes

PLEASE GIVE BRAINLIEST

Please please help no scames ty

Answers

Answer:

not mine sorry

Answer:

7059079318

Step-by-step explanation:

M1ZLSm9lRFozZmR1M0N1QXEwd2pidz09

Plz help I don’t understand

Answers

Answer: I think it's "47.6 ÷ 3.9" and maybe "71.9 ÷ 6.5"

Step-by-step explanation: It's asking for you to put the boxes that have an estimated answer of 12 in the big box at the bottom. I hope this helps.

I did the math and yes it’s correct

During the holiday sale, the store discounted all items 1/3. What is the discount on a $19.95 item? plz help me

Answers

Answer:

Discount Final Price Each

1/3 off $ 19.95. $ 13.30

Step-by-step explanation:

I think its 13.30

Answer: $13.30

Step-by-step explanation: If you multiply 19.95 by 1/3 you will get the answer 6.65, that is the amount that is taken off. So next, you can just subtract 6.65 from 19.95.

19.95-6.65=13.30

So that is the answer, with the discount the item is now $13.30

What is an appropriate scale to graph both integers on the vertical number line. (-110 and 120)‽

50
1
10
100

Answers

Answer:

1

Step-by-step explanation:

1 or 10

Prob 10 goes by tens
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