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

0.3 is 5% of ____ is? please anwser

Answers

Answer:

The answer is 6 :)

Step-by-step explanation:

oops didnt mean to attach this file i just want to know if this is a function or not i need to know

Answers

Answer:

do you mean if the attachment works  or the question

Step-by-step explanation:

Yolanda’s bowling average for 2 games was 138. Her second game score was 8 points lower than her first game score. Which system of equations will determine Yolanda’s scores for her first game, f, and her second game, s?

Answers

Answer:

║⊕║Hello Wonderful Person║⊕║

This should be your answer:

So first let us solve 138 divided by 2. Which equals 69. So right now, each game Yolanda did was 69 points. But, it says her second game score was 8 points lower. But it still has to be 138 points. So, you take away 8 points from S-69 (second game) and add 8 to F-69(First game) Which will equal 61 for S and 77 for F. So the answer is,

Yolanda's first game (F) was 77 points.

Yolanda's second game (S) was 61 points.

In total she scored 138 points.

Step-by-step explanation:

I hope this helped!

(brainliest appreciated!)

First answer!! :DHave a wonderful and blessed day!

Yolanda’s scores for her first game, f is 73, and her second game, s is 65

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Yolanda’s bowling average for 2 games was 138.

f+s=138....(1)

Her second game score was 8 points lower than her first game score.

s=f-8....(2)

Substitute 2 in 1.

f+f-8=138

2f-8=138

Add 8 on both sides

2f=138+8

2f=146

Divide both sides by 2

f=73

s=73-8

s=65

Hence, Yolanda’s scores for her first game, f is 73, and her second game, s is 65

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Each of 7 kittens, weighs less than 3.5 ounces. Find all the possible values of the combined weights of the kittens. 7th grade math please help, also just need the answer no explanation thx

Answers

Answer:

Let's use w to symbolize the weight of kittens. Given by the statement "each kitten weighs less than 3.5 ounces" we know that

1*w < 3.5

We can multiply both sides of the inequality by 7 to determine the total weights

7*(1*w) < 7*(3.5)

7*w < 24.5

Since there are 7 kittens, the combined weight of the kittens is 7w, therefore the above expression could be read as "The combined weight of the kittens is less than 24.5 ounces"

Answer:

7*(1*w) < 7*(3.5)

Step-by-step explanation:

Let's use w to symbolize the weight of kittens. Given by the statement "each kitten weighs less than 3.5 ounces" we know that

1*w < 3.5

We can multiply both sides of the inequality by 7 to determine the total weights

7*(1*w) < 7*(3.5)

7*w < 24.5

Since there are 7 kittens, the combined weight of the kittens is 7w, therefore the above expression could be read as "The combined weight of the kittens is less than 24.5 ounces"

What is the COEFFICIENT in this expression: 45 - 2y *

Answers

Answer:

2

Step-by-step explanation:

In this expression,

-45 is the constant.

-2 id the coefficient.

- y is the variable.

The answer is 2 as it is before y and coefficient is always before the variable which would be y in this specific problem

Solve the inquality
x/-2 < -3

Answers

Answer: i think its 4

Step-by-step explanation:

Answer:

x>6

Step-by-step explanation:

[tex]\frac{x}{-2} <-3\\multiply~by~-2\\x>(-3)(-2)\\or~ x>6[/tex]

when we multiply an inequality by a negative number sign of inequality changes i.e.,< changes to > and > changes to <

Apple stock recently closed at a price of $450 per share. Andy's mom bought Apple stock in 2010 at a price of $150 per share. What is the percentage of change in Apple shares since 2010?

Answers

Answer:

200% increase

Step-by-step explanation:

(450-150)/150 =

300/150 =

200%

5(x-4)help please I will appreciate it

Answers

Answer:

5x-20 should be the correct answer

The correct answer should be 5x - 20

A $300 mountain bike is discounted by 30% and then discounted an additional 10% for shoppers who arrive before 5:00am.

Answers

$189 is the answer.
The answer is 189$.
Hope it helps! Have a great day!

I NEED HELP FAST
fr tho I need help
and I give the brainly

Answers

Answer: slob on his nob.

Step-by-step explanation:

Simplify negative 3 over 4 divided by 2 over negative 8.

Answers

Answer:

3

Step-by-step explanation:

−3/4÷2/−8=?

In the second fraction, move the negative sign from the denominator to the numerator and the value remains the same.

The equivalent equation is

−3/4÷ −2/8=?

Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator, leaving the negative sign on the numerator, and changing the operation to multiplication. Then the equation becomes

−3/4× −8/2=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

−3× −8/4×2= 24/8

Since 24 divided by 8 equals 3 then,

24/8 =3

Therefore:

−3/4÷ 2/−8= 3

Hope this helps! Please consider marking brainliest! I hope you have an amazing day. Always remember, your smart and you got this! -Alycia :)

3? I think I’m not sure but ye

Find the perimeter FOR BRAINLIEST

Answers

Answer:

56

Step-by-step explanation:

The perimeter is 56 because you added all of the numbers on there which got you to it, it’s really easy

Please help!!!
"Michelle had a piece of lumber which measured 51 inches long. She cut it into 5 three-inch pieces, and the rest into two-inch pieces. Which equation can be used to describe the number of two-inch pieces (a) Michelle had when she finished cutting the piece of lumber?"

Answers

Answer:

(51 - 3 x 5)/2

16 points dont steal points
Also the answers inside the choose is: A. 2 times B. 4 times C. 21 more than D. 105 more than

Answers

Answer:

B

Step-by-step explanation:

7x4 = 28

just do 4 times everything to double check

P.S. Can I get brainliest

EDIT: Nvm I don’t need brainliest I was happy too help :)

The answer is B because 7x4=28, 14x4=56 and so on.

Its only letting me show one picture which sucks, so I'll ask the rest later. I need help with this
Also I need it graphed, sorry
Help is very appreciated, thank you​

Answers

The answer is (3,1)

Substitution method: 1=4/3x-3 which is x=3 so then it becomes (3,1)
I got got 3,1 as my answer

I need this, this is for all you math lovers out there.

3 more on my page

Answers

Okkxkdk
Maskmsmsm
&2929229
AND THE ANSWER ISSSSSS........................

Mai’s backpack weighs 9 pounds. Han’s backpack weighs 8.3 pounds. Priya’s backpack weighs 7.75 pounds, and Kiran’s backpack weighs 6.125 pounds. Select all the true statements.

Group of answer choices

Han’s backpack is 2.175 pounds heavier than Kiran’s.

Mai’s backpack is 2.25 pounds heavier than Priya’s.

Han’s backpack is 16.05 pounds heavier than Priya’s.

Kiran’s backpack and Han’s backpack together weigh 14.3125 pounds.

The backpacks weigh 31.175 pounds together.

Answers

Answer: Han’s backpack is 16.05 pounds heavier than Priya’s.

Step-by-step expl

The true statements are:

Han’s backpack is 2.175 pounds heavier than Kiran’s.

The backpacks weigh 31.175 pounds together.

Here, we have,

Let's evaluate each statement:

Han’s backpack is 2.175 pounds heavier than Kiran’s.

To check if this statement is true, we need to find the difference between the weights of Han's and Kiran's backpacks:

Han's backpack weight - Kiran's backpack weight = 8.3 - 6.125 = 2.175

The difference is indeed 2.175 pounds, so this statement is true.

Mai’s backpack is 2.25 pounds heavier than Priya’s.

Similarly, we find the difference between the weights of Mai's and Priya's backpacks:

Mai's backpack weight - Priya's backpack weight = 9 - 7.75 = 1.25

The difference is 1.25 pounds, not 2.25 pounds. Therefore, this statement is false.

Han’s backpack is 16.05 pounds heavier than Priya’s.

Again, we calculate the difference between Han's and Priya's backpack weights:

Han's backpack weight - Priya's backpack weight = 8.3 - 7.75 = 0.55

The difference is 0.55 pounds, not 16.05 pounds.

Thus, this statement is false.

Kiran’s backpack and Han’s backpack together weigh 14.3125 pounds.

To check this statement, we add the weights of Kiran's and Han's backpacks:

Kiran's backpack weight + Han's backpack weight = 6.125 + 8.3 = 14.425

The sum is 14.425 pounds, not 14.3125 pounds.

Hence, this statement is false.

The backpacks weigh 31.175 pounds together.

To verify this statement, we add the weights of all four backpacks:

Mai's backpack weight + Han's backpack weight + Priya's backpack weight + Kiran's backpack weight = 9 + 8.3 + 7.75 + 6.125 = 31.175

The sum is indeed 31.175 pounds, so this statement is true.

In conclusion, the true statements are:

Han’s backpack is 2.175 pounds heavier than Kiran’s.

The backpacks weigh 31.175 pounds together.

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Please help! These are composite figures, find the area of the figure and round your answer to one decimal place, if necessary.

Answers

Answer:

297.2190049

Step-by-step explanation:

Half the 9 gives 4. 5 for the triangle so you have

19x4.5=85.5

Half that because its a triangle not a square and you get 42.75

Then the area of a semicircle is half pi9 squared which is 254.4690049

254.4690049+42.75

=297.2190049

Which equation is represented by the graphed line?

Answers

y = x - 3


Explanation:
y = mx+b . In this case the b is -3! You started on -3 so that’s your b.

Solve by writing a proportion.
Elena runs the same distance every day. In B days, she
ran 12 miles. How far will she run in 7 days? Show your
work.
Can you also do a proportion for me thanks.

Answers

i think its 84 miles in 7 days

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

I just have one question. Is this right??

Answers

Answer:

Yes, the answer 96 is correct!

Which problems can be solved by performing this multiplication?


3/4×24


Select each correct answer.



Matthew has 24 inches of green ribbon and 3/4 inch of yellow ribbon. How much ribbon does he have in all?


Kiki had 24 marbles. She put 3/4 of the marbles in a jar. How many marbles did she put in the jar?


There were 24 questions on a test. Three-fourths of the questions were science questions. How many questions were science questions?


Aisha baked 24 muffins. She gave 3/4 of the muffins to her friends. How many muffins does she have left?

Answers

Second and third are correct
1) 3/4 + 24
2) 3/4 * 24
3) 3/4 * 24
4) 1/4*24

Kiki had 24 marbles. She put 3/4 of the marbles in a jar and There were 24 questions on a test. Three-fourths of the questions were science questions  can be solved by 3/4×24

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Matthew has 24 inches of green ribbon and 3/4 inches of yellow ribbon. How much ribbon does he have in all is the sum of both the ribbons.

Kiki had 24 marbles. She put 3/4 of the marbles in a jar. How many marbles did she put in the jar is (3/4)×24 = 18 marbles.

There were 24 questions on a test. Three-fourths of the questions were science questions.

∴ no. of science questions is  (3/4)×24 = 18.

Aisha baked 24 muffins. She gave 3/4 of the muffins to her friends.

∴ The muffins she has left is = {24 -  (3/4)×24}

learn more about numerical expressions here :

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Help Me Please I will give brainliest if correct!

Answers

Answer:

9[tex]c^{7}[/tex]

Step-by-step explanation:

[tex]c^{-4}[/tex] is equal to [tex]\frac{1}{c^{4} }[/tex]. [tex]\frac{9c^{3} }{\frac{1}{c^{4} } }[/tex] is equal to [tex]9c^{7}[/tex].

Answer:9c7

Step-by-step explanation:

(Sorry if im late but it’s 9c7)

Write an expression for 5 times a number. Help!

Answers

Answer:

5X

Step-by-step explanation:

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

The measures of the angles in an equilateral triangle are equal.
What is the measure of each angle of an equilateral triangle?


A.

30°
B.

45°
C.

60°
D.

90°

Answers

The total of all angles in any triangle add up to 180 degrees. So if all angles are equal you would divide 180 by 3. So 180/3 = 60.

Answer:

c.60°is the measure of each angle of an equilateral triangle.

6(4x + 3y) and 3(8x + 6y) are equivalent expressions. Explain why this is true?

Answers

Answer:

....answer below

Step-by-step explanation:

6(4x+3y)

3(8x+6y)

so eachpartiseitherdividedormultipliedby2,sotheyshouldhavethesameanswerwhensolved.Equation1is24x+18yandequation2islso24x+18y   nsorrythereisnospaces,forsomereasonspaceisntworking

6(4x + 3y)

3(8x + 6y)

Just expand the brackets

24x + 18y
24x + 18y

Look at each expression below. Indicate if each is equivalent to 64g – 40h. Select Yes or No for each expression.
a. 40(24g – h) Yes No
b. 8(8g – 5h) Yes No
c. 24gh Yes No
d. 4(16g – 10h) Yes No
e. 2(32g – 20h) Yes No

Answers

Answer:

B

Hope this helps

Step-by-step explanation:

DUE NOWW!! The equation d = 22.5n + 27.5 represents the amount of money, in dollars, that Kathryn earns for each sale she makes. The variable "n" represents the number of items sold, and the variable d represents the total amount of money earned. What is the number of items Kathryn must sell in order to earn $500?

Answers

Answer:

50

Step-by-step explanation:

It is 50. Hope this helps:)
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