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3 years ago

The diagram represents 6X squared minus 7 X +2 with factor of 2X minus oneWhat is the other factor of 6X squared -7+2?

Mathematics

1 answer:

agasfer [191]3 years ago

3 0

Answer:

(3x - 2)

Step-by-step explanation:

6x² - 7x + 2 can be factored using the trial and error method, the AC method, factoring by grouping, or using the quadratic formula

i will use factoring by grouping to solve

to factor by grouping: we divide the expression into 4 terms. since there are only 3 terms, we need to expand the expression. to do this, we can write 7x as a subtraction.

6x² - 3x - 4x + 2

now that we have 4 terms, we can factor by grouping by dividing the expression in half:

(6x² - 3x) (-4x + 2)

lets look at 6x² - 3x: what GCF do they have in common? both have 3x as a common factor so we will factor out 3x from the expression

3x (2x - 1)

now we take a look at -4x + 2: what GCF do they have in common? we want to have (2x - 1) as a result of the factoring job, so what number gives us that? we would have to get rid of that negative, so lets factor out -2 from the expression:

-2 (2x - 1)

the expression looking like the following:

3x (2x - 1) - 2 (2x - 1)

we can put 3x and -2 into their own factor as we have 2x - 1 as a factor already and there is no need to repeat that

(3x - 2) (2x - 1)

the missing factor is (3x - 2)

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31-18÷6 how would you solve this using PEMDAS?

sergeinik [125]

P: Parenthesis
E: Equation
M:Multiplication
D: Division
A : addition
S: Subtraction

So first you need to divide because it is before so you divide 18 by 6 which is 3 then you subtract (31 - 3) which gives you 28
answer : 28

7 0

3 years ago

Read 2 more answers

Solve the equation.<br> 6x + 7 = 8x-15<br> help :(

Anvisha [2.4K]

Start by getting all terms with x on one side and all terms without on the other.

6x+7=8x-15

subtract 6x from both sides

7=2x-15

add 15 to both sides

22=2x

divide both sides by 2

11=x

7 0

3 years ago

Read 2 more answers

Simplify the expressions and evaluate for (i) y = -2, (ii) y = 3.<br> 3y (2y-7) - 3 (y - 4) - 63

Diano4ka-milaya [45]

Simplified expression is 6y² - 24y - 51. Value for y=-2 is 21 and value for y=3 is -69.

Step-by-step explanation:

Step 1: Given expression is 3y(2y-7) - 3(y - 4) - 63. Simplify it.

⇒ 6y² - 21y - 3y + 12 - 63

⇒ 6y² - 24y - 51

Step 2: Find value of the expression for y = -2

⇒ 6y² - 24y - 51 = 6(-2)² - 24(-2) - 51 = 24 + 48 - 51 = 21

Step 3: Find value of the expression for y = 3

⇒ ⇒ 6y² - 24y - 51 = 6(3)² - 24(3) - 51 = 54 - 72 - 51 = -69

8 0

3 years ago

Kasey and Jordan are counting calories while eating lunch in the school cafeteria. In one week, Kasey had

malfutka [58]

Answer:

Jordan got 222 calories from pizza

Step-by-step explanation:

Given:

slices of pizza ate by Kasey =10

cups of fruit salad by Kasey= 5

slices of pizza ate by Jordan = 6

cups of fruit salad by Jordan= 7

Kasey's calorie count = 3070

Jordan calorie count = 2522

To Find:

calories Jordan got from pizza =?

Solution:

Let the calorie of one slice of pizza be x

and the calorie of one cup of fruit salad be y

According to the question, the equation that represents the Kasey's Scenario is

10x + 5y = 3070-------------------------------------(1)

Similarly the equation that represents the Jordan Scenario is

6x + 7y = 2522--------------------------------------(2)

multiply eq(1) by 6 we get

60x + 30y = 18420---------------------------------(3)

multiply eq(2) by 10 we get,

60x + 70y = 25220----------------------------------(4)

Subtracting eq (3) from (4) we get

60x + 70y = 25220

60x + 30y = 18420

(-) (-) (-)

-----------------------------------

0x + 40y = 6800

---------------------------------

=>40 y = 6800

=>y = $\frac{6800}{40}$

=> y = 170

So calorie of one cup fruit salad is = 170 calories

substituting the y values in eq 1 we get

10x + 5(170) = 3070

10x + 850 = 3070

10x = 3070 - 850

10x = 2220

x = $\frac{2220}{10}$

x= 222

So calorie of one pizza slice = 222 calories

Now we know that Jordan ate 6 slices of pizza

calories Jordan get from pizza = number of pizza he ate X calore per pizza slice

=> 6 x 222

=>1332 calories

6 0

3 years ago

Identify the restrictions on the domain of f(x) = quantity x minus 3 over quantity x plus 5. x ≠ 5 x ≠ −5 x ≠ 3 x ≠ −3

Fantom [35]

Answer:

x ≠ - 5

Step-by-step explanation:

Given

f(x) = $\frac{x-3}{x+5}$

The denominator of f(x) cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the value that x cannot be.

solve : x + 5 = 0 ⇒ x = - 5 ← excluded value

6 0

3 years ago