Mathematics High School

write in standard form (×+4)(×-5)=4 find the value of a,b,c

Answers

Answer 1

Answer:

[tex]x^{2}[/tex] - x - 24 = 0

a = 1

b = 1

c = -24

Step-by-step explanation:

(x + 4)(x - 5) = 4

x(x - 5) = [tex]x^{2}[/tex] - 5x

4(x - 5) = 4x - 20

[tex]x^{2}[/tex] - 5x + 4x - 20 = 4

[tex]x^{2}[/tex] - x - 20 = 4

[tex]x^{2}[/tex] - x - 20 - 4 = 0

[tex]x^{2}[/tex] - x - 24 = 0

a = 1

b = 1

c = -24

Related Questions

How many tables that seat eight are required to provide places for 62 people at a banquet

Answers

Answer:

Step-by-step explanation:

62 divided by 8 is 7.75

you can't cut people so round it up and you get 8

Find y.
A. 6
B.2
C.7
D.4

Answers

Answer: HOPE THIS HELPS GOD BLESS PLEASE TOUCH THANKS

C.8

Step-by-step explanation:

A container has 12 1/2 cups of pancake mix. A serving uses exactly 1 1/2
cups
• How many full servings are in the container?
• How many cups of pancake mix are left over?
Enter each answer on a separate line.

Answers

Answer:

8 full servings

Step-by-step explanation:

1/2 cup of mix left

Factorise the expression 6x^2-13x+6 and hence solve the equation 6x^2-13x+6=0

Answers

Answer:

Part A

The factored form of the expression, 6·x² - 13·x + 6 is (2·x - 3) × (3·x - 2)

Part B

The solution of the equation 6·x² - 13·x + 6 = 0 are x = 3/2 or x = 2/3

Step-by-step explanation:

Part A

The given expression to factorize is 6·x² - 13·x + 6, which can be written as follows;

6·x² - 13·x + 6 = 6·x² - 4·x - 9·x + 6

The 13·x is split at - 4·x - 9·x

6·x² - 4·x - 9·x + 6

2·x·(3·x -2) - 3·(3·x - 2)

Bringing out the common factor (3·x - 2) gives;

(2·x - 3) × (3·x - 2)

Therefore, the expression 6·x² - 13·x + 6 in factored form is (2·x - 3) × (3·x - 2)

Part B

Solving the equation, 6·x² - 13·x + 6 = 0, therefore gives;

6·x² - 13·x + 6 = (2·x - 3) × (3·x - 2) = 0

Therefore, either (2·x - 3) = 0 and x = 3/2 or (3·x - 2) = 0 and x = 2/3

From which we have 6·x² - 13·x + 6 = 0 when x = 3/2 or 2/3 and x = 3/2 or x = 2/3 are the solution of the equation 6·x² - 13·x + 6 = 0.

Use long division to calculate 276 ÷ 15

Answers

Answer:

18.4

Step-by-step explanation:

Write 12 1/3 as an improper fraction.

Answers

Answer: 37/3

Step-by-step explanation:

12 1/3 = 12*3+1/3 = 37/3

Answer:

[tex]\frac{37}{3}[/tex]

Step-by-step explanation:

[tex]12\frac{1}{3}[/tex]

When converting mixed numbers (such as the one above), to improper fractions, we must first multiply the whole number by the denominator:

[tex]12*3=36[/tex]

Then, add the numerator the the product:

[tex]36+1=37[/tex]

Now, put the sum over the denominator to get your solution:

[tex]\frac{37}{3}[/tex]

To check your work, you can convert the improper fraction to a mixed number to make sure you will end up with [tex]12\frac{1}{3}[/tex].

Divide [tex]37[/tex] into [tex]3[/tex]:

[tex]12[/tex] with a remainder of [tex]1[/tex]

Put the remainder over the denominator:

[tex]12\frac{1}{3}[/tex]

Therefore, our solution is correct!

Ricardo open a savings account with an initial deposit of $560 and will not make any additional deposits or withdrawals . The account earns 1% simple interest. What is the total amount that Ricardo will have in his account at the end of 3 years ?
A:$168.00
B:$56.00
C:$576.80
D:$565.60

Answers

Answer:

Step-by-step explanation:

Savannah and Reagan both work in a grocery store. They each stocked the same number of shelves last Saturday, but it took Reagan less time. They've been told that they'll spend their entire 4-hour shifts next Saturday stocking shelves. If their average speeds are consistent, who will likely stock more shelves next Saturday?

HELP!

Answers

Answer:

Reagan

Explanation:

Since Reagan is able to stock the same number of shelves as Savannah while spending less time to do so, it means that Reagan is able to stock shelves faster than Savannah, thus Reagan is able to stock more shelves than Savannah given that their average speeds are constant and that they both work under 4-hour shifts.

Hope this helps :)

Will mark Brianliest answer correctly !!!!!!!!!! Pleaseeee helpppp !!!!!!!!!!!!!!!!!

Answers

it would be 2 Square root 10

2 is the square root of 10

20% off $115 7.5% sales tax what is the final price of the coffee table

Answers

Answer:

Therefore the final price of the table coffee which is on sale by 20% with a sales tax of 7.5% is $98.9

Step-by-step explanation:

it is $98.9

Answer:

$98.9

Step-by-step explanation:

pleasee help!! im confused

Answers

Answer:

28k + 68

Step-by-step explanation:

7(8 + 4k) + 12

first, you use the distributive property on the parentheses

56 + 28k + 12

then you add like term, 56 + 12 = 68

68 + 28k

numbers with variables go first

28k + 68

Which of the following relations describes a function?
OA. {(-3,-4), (-4,-3), (3, 4), (4,3)}
OB. {(3,-1), (3, 1), (4, -1), (4, 1) }
OC. {(3, 3), (3, 4), (4,3), (4,4)}
OD. {(0,0), (0, 3), (3, 0), (3, 3) }

Answers

Answer:

{(-3,-4), (-4,-3), (3, 4), (4,3)}

Step-by-step explanation:

{(-3,-4), (-4,-3), (3, 4), (4,3)}

because x should not be the same in more than one pair

Given side lengths 4 units, 8 units, and x units, determine the range in which x must lie in order for a triangle to exist.
A)
X > 12
B)
0 C)-4 D)
4

Answers

Answer:

4 < x < 12

Took the test

Anyone know the answer??

Answers

The slope to a parallel line would be : 2/1
The slope to a perpendicular line would be -1/2

Which of the following is the point-slope equation of the line that passes through
(4,-2) and has a slope of 1/2?

Answers

Answer: y + 2= 0.5(x - 4) Is this good?

Step-by-step explanation:

Chase wants to earn at least $900 this month in commission. What is the minimum amount he needs to sell in order to earn $900 if he earns a 3.3% commission on everything he sells? Round to the nearest dollar.

Answers

Answer:

$27,272.73= sales

Step-by-step explanation:

Giving the following information:

Desired commission= $900

Commission rate= 3.3% = 0.033 of sales

To calculate the sales required, we need to use the following formula:

Commission= sales*commission rate

900= sales*0.033

900/0.033= sales

$27,272.73= sales

Answer: $27,273

Step-by-step explanation: 900a=3.3100 Write the proportion. Let a represent the amount he needs to sell.

900a=3.3100 Because 3.3×272.72=900 , multiply 100 by 272.72 to find a.

90027.271=3.3100 100 × 272.72 ≈ 27,273, so a = 27,273.

Chase needs to sell $27,273 to earn $900 in commission.

One angle is five degrees less than three times the degree measure of another angle. Together, the angles measures have a sum of 143°. What is the measure of each angle?

Answers

Answer:

Step-by-step explanation:

For the function y = 4x – 2, what is the value of the function when x is equal to -3?

Answers

y= -14 !!! positive

Answer:

the value of y would be -14

The graph of a Function f(x) is shown below:

What is the domain of f(x)?

Answers

Answer:

U will not get answers on a test noob

Answer:

Step-by-step explanation:

domain includes alll values of x so are from -1 to 2 except 0

[-1, 0) ∪ (0, 2]

B
1
N
4
5
5
(4x+6)
(5x -5)
7
00
0
A
С
(3x + 8)
The value of x is
and the length of the base is

Answers

Answer:

(4x+6)

(5x -5)

(3x + 8)

The value of x is