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DIA [1.3K]
3 years ago
9

Factor this trinomial completely.

Mathematics
1 answer:
zmey [24]3 years ago
4 0
First you want to write 7x as a sum or difference: 15x-8x
Now, the expression would look like this: 10x^2+15x-8x-12
Next, factor out the 5x and -4 from the expression: 5x(2x+3)-4(2x+3)
Now, factor out the 2x+3 from the expression and you have your answer:
(2x+3)(5x-4)
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Students who party before an exam are twice as likely to fail as those who don't party (and presumably study). If 20% of the stu
True [87]

Answer:

The fraction of the students who failed to went partying = \frac{1}{10}

Step-by-step explanation:

Let total number of students = 100

No. of students partied are twice the no. of students who not partied.

⇒ No. of students partied = 2 × the no. of students who are not partied

No. of students partied before the exam = 20 % of total students

⇒ No. of students partied before the exam = \frac{20}{100} × 100

⇒ No. of students partied before the exam =  20

No. of students who not partied before the exam = \frac{20}{2} = 10

Thus the fraction of the students who failed to went partying = \frac{10}{100} = \frac{1}{10}

8 0
3 years ago
Find the value of each variable. Assume it is a 45 45 90 triangle. Round to the nearest tenth.
Arte-miy333 [17]

Answer:

x = 6

y = 45 degrees

Step-by-step explanation:

Here, we want to get the measure of x and y

For a 45-45-90 triangle, the measure of each of the internal angle asides the right angle is 45 degrees

This mean y is 45

To get x, we know we have an isosceles triangle

So the length of the third ungiven leg is x too

Mathematically, the square of the hypotenuse (side facing the right angle) is equal the sum of the squares of the two other sides

(6 √2)^2 = x^2 + x^2

72 = 2x^2

x^2 = 72/2

x^2 = 36

x = √36

x = 6

4 0
3 years ago
Please Help! Will mark brainiliest!!<br><br> 1. y varies directly as x and inversely as z.
Paladinen [302]

Answer:

x = 5

z =2

y =4.4

Step-by-step explanation:

y varies directly as x

y = kx

and inversely as z

y = kx/z

Putting in the numbers in the first line of the table, we can solve for k

13.75 = k * 25/4

Multiply by 4

13.75*4 = 25k

55 =25k

Divide by 25

55/25 = 25k/25

2.2 = k

Now we can fill in the table

y = 2.2 x/z

Row 2 we need to find x

1 = 2.2 x/11

Multiply by 11

11 = 2.2 x

Divide by 2.2

11/2.2 = 2.2x

5 =x

Row 3 we need to find z

18.7 = 2.2 *17/z

18.7 = 37.4 /z

Multiply by z

18.7z = 37.4

Divide by 18.7

18.7/18.7z = 37.4/18.8

z =2

Row 4 we need to find y

y = 2.2 *10/5

y = 22/5

y =4.4

8 0
4 years ago
Sandra used her debit card to buy lunch for $8.74 on monday . on tuesday she deposited $8.74 back into her account.what is the o
BabaBlast [244]
The answer to this question would be: $0 (no increase/decrease in her bank account).

To answer this question you need to list the increase and decrease Sandra cause. The increase happened when she deposited $8.74 money on Tuesday. The decrease happened when she use $8.74 money for lunch on Monday. If you add them together, it will become
Bank account: increase-decrease
Bank account : $8.74 - $8.74= $0
8 0
4 years ago
Find the surface area of the prism.
Fed [463]
What do you mean I need to see the prism ??
5 0
3 years ago
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