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Black_prince [1.1K]
3 years ago
11

twice the sum of a number and 8 is equal to 3 times the difference of the number and 7 find the number ​

Mathematics
1 answer:
GaryK [48]3 years ago
4 0
The answer should be 37



2(x+8) = 3(x-7)

distribute
2x+16 = 3x-21

Subtract 2x from both sides
2x+16-2x = 3x-21-2x
16 = x-21

Add 21 to both sides
16+21 = x-21+21
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Y = x^2 - 4x + 4<br> Find the discriminant.<br> Determine the number<br> of real solutions.
weqwewe [10]

Answer:

The discriminant is 0

There is 1 real solution

Step-by-step explanation:

Use the discriminant formula, D = b² - 4ac

In the equation y = x² - 4x + 4, a is 1, b is -4, and c is 4.

Plug in these values into the formula:

D = b² - 4ac

D = (-4)² - 4(1)(4)

D = 16 - 4(4)

D = 16 - 16

D = 0

So, the discriminant is 0.

With a discriminant of zero, there is one real solution.

So, the number of real solutions is 1.

8 0
3 years ago
The largest jaw breaker in a store is spherical with a radius of 2 in, and sells for $4.00. A
maw [93]

Answer:

$36

Step-by-step explanation:

1. Determine the surface area of the  largest jaw breaker

Surface area of a sphere = 4πr²

4 x 3.14 x 2² = 50.24in²

2. Determine the surface area of the new jaw breaker

4 x 3.14 x 6² = 452.16 in²

3. Determine the cost per area

4/ 50.24

4. Determine the price for the new jaw breaker

4/ 50.24 x 452.16 = $36

5 0
3 years ago
Explain step by step how you find the product of 6x^2y^5 and 3x^2 - 8x + 2xy^2 + 4y^3
lora16 [44]

The final product is 18x⁴y⁵ - 48x²y⁵+12x³y⁷+24x²y⁸

<h3>What is a product ?</h3>

The product is result obtained when a number or an expression is multiplied by the other number.

The product of the given expression

6x²y⁵ and 3x²-8x+2xy²+4y³

6x²y⁵ (3x²-8x+2xy²+4y³)

Step 1 : To multiply each term in the bracket with the other expression

out of the bracket

6*3*x²*y⁵*x² - 6*8*x²*y⁵ +6x²y⁵ *2*x*y² + 6*4*x²y⁵ *y³

Step 2 : The like variables will be solved

18x⁴y⁵ - 48x²y⁵+12x³y⁷+24x²y⁸

This is the final product

To know more about the product

brainly.com/question/17765678

#SPJ1

6 0
2 years ago
The centimorgan (cm) is a unit named in honor of thomas hunt morgan. to what is it equal?
grandymaker [24]
1 \ cm = 0.01 \ m.
8 0
4 years ago
Write an expression for the sequence of operations described below.
Fofino [41]

Answer:

  t - 5^7

Step-by-step explanation:

5 to the 7th power is 5^7. That value subtracted from t is ...

  t - 5^7

__

Using the superscript font for the exponent, it would be ...

  t - 5⁷

4 0
4 years ago
Read 2 more answers
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