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3 years ago

What expression is equivalent to x^2-7x+12+(x-3)^2

Mathematics

1 answer:

nikitadnepr [17]3 years ago

3 0

Answer:

2x²−13x+21

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

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Multiply: x (x^2+2x+4) and -2 (x^2+2x+4) Combine like terms. Final Answer:

natulia [17]

Answer:

x^3-8

Step-by-step explanation:

x^3+2x^2+4x + -2x^2-4x-8

+2x^2 and -2x^2 cancel out

+4x and -4x cancel out

5 0

3 years ago

2. Xamdi is having a birthday party. The event location says the total cost includes a fixed rental fee of $80 and $10 per guest

Stells [14]

80+10x is the expression. To find the cost for 9 guests, simply plug in 9 for x. This becomes an equation reading 80+10(9)=170. The total cost for 9 guests is $170.00.

4 0

4 years ago

What is the area of the figure? 40 ft2 84 ft2 96 ft2 can't be determined

mina [271]

Answer:

$A=80\ ft^2$

Step-by-step explanation:

we know that

The area of the figure is equal to the area of an isosceles triangle (has two equal sides) plus the area of a rectangle

step 1

Find the area of the triangle

The area of the triangle is equal to

$A=\frac{1}{2}bh$

we have

$b=16\ ft$

To find out the height of the triangle Apply the Pythagorean Theorem

$10^2=(16/2)^2+h^2$

solve for h

$100=64+h^2$

$h^2=100-64$

$h^2=36$

$h=6\ ft$

Find the area of triangle

$A=\frac{1}{2}(16)(6)$

$A=48\ ft^2$

step 2

Find the area of rectangle

The area of rectangle is equal to

$A=LW$

we have

$L=16\ ft\\W=2\ ft$

substitute

$A=(16)(2)=32\ ft^2$

step 3

Find the area of the figure

Adds the areas

$A=48+32=80\ ft^2$

5 0

4 years ago

The weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces.

Wittaler [7]

First we calculate z using the formula:

z = (x - μ)/σ

Where:

x = our variable, 10

μ = mean, 8

σ = standard dev, 2

Substituting known values:
z = (10 - 8)/2
z = 2/2
z = 1

Using the tables of the normal distribution to find the p-value with z = 1

p = 0.8413

Since we want "greater than 10”, we need to subtract the probability from 1 therefore

p* = 1 - 0.8413 = 0.1587

6 0

3 years ago

5. Find the measure of x and and the angle measure. (3x - 15) (2x + 7)

Leya [2.2K]

Answer:

here's the answer to your question

6 0

3 years ago