what is 2a^2-14=-24 factored

Answers

Answer 1

The answer: "(a − 4)(a − 3) = 0" ;
______________________________________
→ {assuming the question meant to be written as:
"What is: 2a² − 14x= -24 ; factored?" } ;
______________________________________
Explanation:
______________________________________
Given: " 2a² − 14x= -24 "; factor this equation ;
______________________________________
Simplify the equation by dividing the entire equation (each side) by "2" ;
______________________________________
{ 2a² − 14x = -24 } / 2 =

a² − 7 = -12

Now, add "12" to each side of the equation:
____________________________________
a² − 7x + 12 = -12 + 12 ;

to get:
a² − 7 + 12 = 0 ;
__________________________________
Now, what factors of "12"; when added together, equal "-7"?

6, 2 = 8
-6 -2 = -2,
12, 1 = 13,
-12 -1 = 12
4, 3 = 7,
-4 -3 = -7 .
________________________________________
So; "a² − 7x + 12 = 0" ; factors to:
________________________________________
"(a − 4)(a − 3) = 0 " .
________________________________________
{The solutions are: a = 4 ; and: a = 3} .
________________________________________

Related Questions

Solve each compound inequality and graph the solution.

1. 2x + 5 > −3 and 4x + 7 < 15

2. 2x − 5 > 3 or −4x + 7 < −25

Answers

1) x > -4 and x < 2

2) x > 4 and x <8

The required solution for inequality 1 is x >-4 and x < 2, and for inequality 2 is x > 4 or x > 8.

What is inequality?

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
1. 2x + 5 > −3 and 4x + 7 < 15
2x > -8 and 4x < 8
x > -4 and x < 2

2. 2x − 5 > 3 or −4x + 7 < −25
2x > 8 or -4x < -32
x > 4 or x > 8

Now, plotting graph for both inequalities,
the double-shaded portion on the graph is the required solution for inequalities in section 1 of the question, and solution for the section 2 of the question is each shaded area of the graph.

Thus, the required solution for inequality 1 is x >-4 and x < 2, and for inequality 2 is x > 4 or x > 8.

Learn more about inequality here:

brainly.com/question/14098842

#SPJ2

An object on Jupiter weighs about 2.5 times as much as the same object would weigh on Earth. If a person on Earth weighs 135 lb., how much does the person weigh on Jupiter? A. 54 lb. B. 137.5 lb. C. 337.5 lb. D. 3375 lb.

Answers

that person would weigh 337.5 pounds

The answer is C. Because 137 x 2.5=337.5 lbs.

Karla is given the equation 10x + 15 = 20 to solve. She says the solution is 1/2

Which reason justifies her solution?

A) Karla says that to solve the equation you first add 15 and then multiply by 10.

B) Karla says that to solve the equation you first multiply by 10 and then add 15.

C) Karla says that to solve the equation you first subtract 15 and then divide by 10.

D) Karla says that to solve the equation you first divide by 10 and then subtract 15.

Answers

the answer is c because you need to isolate the x

The answer is C.

you do the inverse of positive 15, which is negative 15. so put it on both side .

10x +15 =20
-15 =-15

to equal

10x =5

then divide 10 on both side

10x = 5
----- -----
10 10

x = 5/10 or 1/2

2 1/6 - -8/3 + -4 7/9

Answers

2 1/6 - -8/3 + -4 7/9
Find a common denominator
2 3/18 - -48/18 + -4 14/18 =
2 3/18 + 48/18 - 4 14/18
Turn into improper fractions
39/18 + 48/18 - 86/18
Solve
87/18 - 86/18 =
1/18

1/18 is your answer.

Go on cymath it gives u the answer

To different companies offer online gaming subscriptions. Company A charges $75 upfront and then $20 per month. Company B does not charge an upfront fee, but charges $35 per month. After how many months will the two companies charge the same amount?

Answers

Hello! To solve this equation, let's set it up like this: 75 + 20m = 35m. This is because Company B does not charge an upfront fee, so all you have to do is 35m and Company A charges $75 upfront and then $20 per month, so you do 75 + 20m. First, you subtract 20m from both sides. When you do, you get 75 = 15m. Now, you divide each side by 15 to isolate the m. When you do that, you get 5. Let's plug in the numbers to see what we get. 20 * 5 is 100 + 75 = 175. 35 * 5 =175. 175 = 175. There. The two companies will charge the same amount in 5 months. m = 5.

The number of months when the two companies charge the same amount is 5 months.

Let the number of months when the two companies charge the same amount be represented by x.

Therefore, based on the information given, the equation to solve the question will be:

75 + (20 × x) = 35 × x

75 + 20x= 35x

Collect like terms

35x - 20x = 75

15x = 75

Divide both side by 15

15x/15 = 75/15

x = 5

Therefore, the number of months when the two companies charge the same amount is 5 months.

Read related link on:

https://brainly.com/question/6139286

can someone please help me

What is the name of the relationship between ∠1 and ∠8 ?

alternate interior angles
adjacent angles
alternate exterior angles
corresponding angles

Two parallel lines cut by a transversal. Angles are labeled one through four, starting above the top parallel line labeled 1 and 2 going left to right. Below the top parallel line labeling 3 and 4 going left to right. Angle 1 is acute. Angles are also labeled 5 through 8, starting above the bottom parallel line being labeled 5 and 6 going left to right. Below the bottom parallel line the angles are labeled 7 and 8 going from left to right.

Answers

FRom your description < 1 and < 8 are alternate exterior angles

Todd wants to know how many numbers between 1 and 50 have only 2 and 5 as prime factors. list all the numbers that have only 2 and 5 as prime factors.Explain how you found your answer.

Answers

10,20,30,40

you know this because if you do prime factorization both 2 and 5 are prime numbers found in those numbers.

10,20,30,40,50

2 and 5 are both factorization numbers

Can anybody help me pleasee I don't understandd

Answers

Hello there.

6(8 - 2y) = 4y

To solve for this, we need to apply the Distributive Property to the left side of the equation. This property allows us to multiply the number outside of the parenthesis by all numbers inside of the parenthesis.

6(8 - 2y)
6(8) + 6(-2y)
48 - 12y

Now, let’s take a look at our equation.

-12y + 48 = 4y

To make things more simple, we’ll add 12y to both sides of the equation. This will cancel out -12y on the left side of the equation and will turn 4y on the right side of the equation into 16y.

Our new equation is:

16y = 48

Now all we need to do is divide both sides by 16 to solve for y.

16y / 16 = y
48 / 16 = 3

Our final answer and solution is:

Y = 3

I hope this helps!

Last week, 4.3 inches of rain filled a rain gauge. This week, another 3.375 inches of rain filled the gauge. What was the total amount of rain that filled the rain gauge in two weeks? Enter your answer in the box.

Answers

7.675 inches of rain was the total amount in the two weeks

The rain gauge collected a total of 7.675 inches of rain over the two-week period by adding last week's 4.3 inches to this week's 3.375 inches of rainfall.

This question demands basic understanding of mathematical operations and basic mathematical problem solving.

The question asks for the total amount of rain that filled a rain gauge over a two-week period. Last week, the rain gauge collected 4.3 inches of rain, and this week it collected an additional 3.375 inches. To find the total rainfall over the two weeks, we simply add these two amounts together:

4.3 inches (last week's rain) + 3.375 inches (this week's rain) = 7.675 inches

So, as per the above explaination, the rain gauge collected a total of 7.675 inches of rain over the two-week period.

Can someone help me with this?

Answers

Finding a common denominator, we multiply 8 by 9 to get 72. Multiplying -5/8 by 9/9 and -8/9 by 8/8 using the identity properties, we get -45/72-64/72=-109/72

- 1.51388888889 that's the answer.

rotate 90 clockwise around the origin (-6,-2) (-3,1) (-1,1) (2,-4)

Answers

The rule for a rotation by 90 about the origin is (x,y)→(−y,x)
so
(-6,-2) ---> (2, -6)
(-3,1) ---> (-1,-3)
(-1,1) ---> (-1,-1)
(2,-4) ---> (4, 2)

What is 40% of 25? Use an appropriate technique to solve. A. 10 B. 62.5 C. 100 D. 1000

Answers

The correct answer is A.10.

The answer for this is A. 10
In this type of question, you need to transfrom the amount of percentage into fractions first and multiply it as usual.

40% = 40/100 = 4/10

So, 40% of 25 is:

4/10 x 25

= 100 / 10

= 10

How do you graph lines using intercepts
Ex. 3y= 1/2x-2 (How would you graph that?)

Answers

Read this article https://weteachscience.org/mentoring/resources/lesson-plans/algebra-1-%E2%80%93-how-to-graph-a-linea...

math question down below

Answers

Average change in altitude per minute
216.12÷2.4
=90.05m

To find the average altitude, you divide. Get rid of the negative sign, (we'll need it later). 216.12 / 2.4 = 90.05. Bring back the negative sign.

You're answer is -90.05m

Hope this helps! ☺♥

is 640 ft or 0.5 mi greater?

Answers

0.5 a mile is greater because 1 mile is equal to 5,280 ft.

5,280 / 2 = 2,640 ft.

0.5 is bigger than 640 feet

Q=P(R+R) (SOLVE FOR P)

Answers

Isolate the variable by dividing each side by factors that don't contain the variable. p=q/2r

What x Value makes this equation true ?
X-3 = 3x + 7

Answers

So what you want to do is move all the variables to one side and numbers to the other.

x-3 = 3x + 7

So first move all the variables to one side:

x - 3x - 3 = 7

Then the numbers.

x- 3x = 7 + 3

Simplify

-2x = 10

Then divide both sides by -2.

-2x = 10

/-2 /-2

x = -5

Am on the write path and can someone explain me what I have to do?

Answers

You would have to find the unit rate which is 26 feet per 1 minute (52/2) Otherwise you are correct

Simplify 0.4(−4.5)

help

Answers

you just multiply them together:
0.4 x -4.5 = -1.8

The answer to this question is -1.8

A box of cereal measures 3 by 8 by 10 inches. The manufacturer plans to market a smaller box that measures 2 by 7 by 8 inches. By how much will the volume be reduced?

Answers

128 cubic inches..hoped this helped

volume of original box: 3 *8 *10 = 240 cubic inches

volume of new box: 2 *7 *8 = 112 cubic inches

240 - 112 = 128

volume is reduced by 128 cubic inches

Jolene invests her savings in two bank accounts, one paying 4 percent and the other paying 11 percent simple interest per year. She puts twice as much in the lower-yielding account because it is less risky. Her annual interest is 4408 dollars. How much did she invest at each rate?

Answers

Its 23 200 at the 11% and 46400 at 4%

Jolene invested $46,378.95 at 4 percent and $23,189.47 at 11 percent to achieve her annual interest of $4408 by setting up and solving a system of equations based on her investment strategy.

Jolene invests her savings in two different bank accounts, one with a 4 percent interest rate and another with an 11 percent interest rate. She invests twice as much in the lower-yielding account. To determine how much she invested at each rate given her annual interest of $4408, we can set up a system of equations.

Let's denote the amount invested at 4 percent as x and the amount invested at 11 percent as y. Given that she puts twice as much in the account with 4 percent, we can say that x = 2y. Furthermore, the total interest earned from both accounts is $4408, so the equation for the total interest would be 0.04x + 0.11y = 4408.

Substitute x = 2y into the interest equation to get 0.04(2y) + 0.11y = 4408. After simplification, the equation becomes 0.19y = 4408. Dividing both sides by 0.19 gives us y = 23189.47. Since x = 2y, multiply y by 2 to find x = 46378.95.

Therefore, Jolene invested $46,378.95 at 4 percent and $23,189.47 at 11 percent.

75 cents /hr equals how many dollars/day

Answers

$18. Multiply 75 cents by 24. 24 hours in a day.

.75 cents times 24 hours is 18. 18 dollars per day.

A weed called the boomstar vine is known for growing at a very fast rate. It can grow up to 0.5 feet per day. How fast in inches per day can the boomstar vine grow up to? How fast in inches per hour can the boomstar grow up to?

Answers

It can grow 6in per day, and 0.25 inches per hour.

Final answer:

The Boomstar vine can grow up to 6 inches per day and 0.25 inches per hour, after converting from feet to inches and dividing by the number of hours in a day, respectively.

Explanation:

The Boomstar vine can grow up to 0.5 feet per day. To convert feet to inches, we multiply by the conversion factor of 12 inches per foot. Therefore, multiplying 0.5 feet by 12 gives us:

0.5 feet/day × 12 inches/foot = 6 inches per day.

Next, to find out how fast it grows in inches per hour, we divide the daily growth in inches by the number of hours in a day:

6 inches/day ÷ 24 hours/day = 0.25 inches per hour.

A greyhound can jump a distance of 27 feet how many feet will a greyhound travel if it jumps 12 times

Answers

If it jumps 12 times (27 times 12) it will jump a total distance of 324 ft

Problem
A greyhound can jump a distance of 27 feet. How many will a greyhound travel if it jumps 12 times?

Result
A greyhound will travel 324 feet if it jumps 12 times.

Solution
This problem can be solved using multiplication.

Multiply

27 · 12 = 324

-8 times 0.09 times -0.5

Answers

the answer is 0.36. I don't think u need to explain why, right ;)

The answer is 0.36 and it’s honestly not that difficult you have a calculator

Graph the line y=−1.5x. Using the graph, find:
The value of y corresponding to the value of x equal to 1; 0; 2; 3 problem.

If x = 1, y = .
If x = 0, y = 0.
If x = 2, y = .
If x = 3, y = .

Answers

x=0-> y=0
x=1-> y=-1.5
x=2-> y=-3
x=3-> y=-4.5

At a pet shop there are 2100 cats and 210 dogs for a total of 2310 pets all together

Answers

That is correct. how did you come up with that.

There are 2100 cats and 210 dogs, totaling 2310 pets. Cats outnumber dogs 10 to 1.

To find the number of cats and dogs separately, let's set up a system of equations.

Let [tex]$ x $[/tex] represent the number of cats and [tex]$ y $[/tex] represent the number of dogs.

We're given two pieces of information:

1. There are 2100 cats and 210 dogs for a total of 2310 pets.

[tex]\[ x + y = 2310 \][/tex]

2. There are 2100 cats.

[tex]\[ x = 2100 \][/tex]

We can substitute the value of [tex]$ x $[/tex] from the second equation into the first equation:

[tex]\[ 2100 + y = 2310 \][/tex]

Now, let's solve for [tex]$ y $:[/tex]

[tex]\[ y = 2310 - 2100 \][/tex]

[tex]\[ y = 210 \][/tex]

So, there are 210 dogs.

To summarize:

- Number of cats [tex]($ x $):[/tex] 2100

- Number of dogs [tex]($ y $)[/tex]: 210

Will mark brainliest!! The table shows the outputs, y, for different inputs, x:
(need someone to explain it not just give me the answers)

Part A:Do the data in this table represent a function? Justify your answer. (3 points)

Part B: Compare the data in the table with the relation f(x) = 8x − 5. Which relation has a greater value when x = 8? (2 points)

Part C: Using the relation in Part B, what is the value of x if f(x) = 19? (5 points)

Answers

A. its a function. recall if x1=x2 then f(x1)=f(x2). if you had f mapping 12 to 12 and 12 to 16 it wouldnt be.

B. f(8)=64-5=59>8 so f(x) has a greater value.

C. set 8x-5=19 so 8x=24 and x=3

Answer:

give other person brainlist

Step-by-step explanation:

There are 3 times as many boys than girls. If there are 24 more boys than girls, how many students are there in total?

Answers

there are 8 girls total.

32 students in total bc if there is 8 girls u multiply by 3 equals 24 so if u add them in total its 32 students

A student received an 82$ on an exam if there were 50 questions on the exam which ratio would show the number of questions answered correctly

Answers

he answered 41 questions right.

41:50

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