How do you rewrite an equation by completing the square?
x^2+10x+21=0

Answer:

$45

Step-by-step explanation:

If it looses it value of 14 % every year, by the end of 5 years, the value would go down by 70%.  So, 150x0.7= 105, 150-105=45, so it would be. worth. 45% in 5 years.

10-3=N

N=7

Step-by-step explanation:

hope you like it

Answer:

Option A

Step-by-step explanation:

x-7>2

x>9

Therefore, A is correct since 9 isn't included in the solution set.

Answer:

First option is correct

Step-by-step explanation:

x-7 > 2

x > 7+2

x > 9

Answer:

x=4,−2

Step-by-step explanation:

Because Step 1. Move all terms to one side.

{x}^{2}-2x-8=0

x

2

−2x−8=0

2 Factor {x}^{2}-2x-8x

2

−2x−8.

1 Ask: Which two numbers add up to -2−2 and multiply to -8−8?

-4−4 and 22

Step 2. Rewrite the expression using the above.

(x-4)(x+2)

(x−4)(x+2)

and going to;

(x-4)(x+2)=0

(x−4)(x+2)=0

And Step 3. Solve for xx.

1 Ask: When will (x-4)(x+2)(x−4)(x+2) equal zero?

When x-4=0x−4=0 or x+2=0x+2=0

2 Solve each of the 2 equations above.

x=4,-2

x=4,−2

x=4,-2

Our Answer is:

x=4,−2

I Hope It's Helps

Answer:

2 and -4

tso numbers when added gives -2 and 8 incase it's not clear enough.

Answer:

P = 75*

Step-by-step explanation:

Answer:

D) [tex]\frac{-6\pm\sqrt{8} }{2}[/tex]

Step-by-step explanation:

[tex]x^2+6x+7=0[/tex]

[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

[tex]x=\frac{-6\pm\sqrt{6^2-4(1)(7)} }{2(1)}[/tex]

[tex]x=\frac{-6\pm\sqrt{36-28} }{2}[/tex]

[tex]x=\frac{-6\pm\sqrt{8} }{2}[/tex] <-- correct option but not simplified fully

[tex]x=\frac{-6\pm2\sqrt{2}}{2}[/tex]

[tex]x=-3\pm\sqrt{2}[/tex]

Answer:

27 feet

Step-by-step explanation:

they go 27 feet because 15+6+6=27

Answer:

m=3

Step-by-step explanation:

add the m on the right side, 4m+3=15

subract the 3 on the left side, 4m=12

divide by four to isolate m, m=3

Answer:

[tex]3m+3=15-m[/tex]

[tex]3m+3=-m+15[/tex]

[tex]3m+m=15-3[/tex]

[tex]4m=12[/tex]

[tex]Divide\ both\ sides \ by\ 4[/tex]

[tex]\frac{4m}{4} =\frac{12}{4}[/tex]

[tex]\boxed{\boxed{\underline{\textsf{\textbf{m=3}}}}}[/tex]

Answer:

Step-by-step explanation: The parallel sides of a trapezium are called the bases and the distance between them is the height. Therefore if 6cm and 15cm are the bases and 9cm is the height, then the area is A= ½(b1+b2)×h, where b1 is 6cm and b2 is 15cm and h is 9cm. Therefore the Area= ½(6+15)×9=94,5cm.

Answer:

shush its hard like my

Step-by-step explanation:

Answer:

Because X (10) repeats

Step-by-step explanation:

A function has no repeated X but here in your x variable 10 is there twice so therefore it is NOT a function

You can use the pencil test also in a graph, align your pencil vertically and see if there are multiple points that have the same X and if there isn't any repeated its a function.

Answer:

The function is a relation between two sets that associates to each element of the first set exactly one element of the second set.

We have x = 10 twice with different f(x) associated, 5 and 20.

If we plot those points they will be on same vertical line, thus the vertical line test is failed.

Answer:

correct answers that make g > true

g = 21.1

g = 34.4

g = 25.5

In short words , the 1st , 4th and 5th option make , g > 21 true .

Answer:

(11*4)-7=37

Step-by-step explanation:

Answer:

(11 × 4) - 7

37

Step-by-step explanation:

7 less than 11 × 4

(11 × 4) - 7

44 - 7

37

Answer:

3, 0, -5, -6

Step-by-step explanation:

7)

when x= -8, f(x) = 8-5 or 3

when x= -5 f(x) = 5-5 or 0

when x= 0, f(x) = 0-5 or -5

when x=1, f(x) = -1-5 or -6

Answer:

$5.20

Step-by-step explanation:

A dozen is 12, so multiply by two.

2.60 * 2 = $5.20

Answer:

5.20 for 12

Step-by-step explanation:

2.60 for 6

2.60*2=12

5.20 for 12

Answer:

494018

Step-by-step explanation:

you are trying to find the diameter of the circle, it is usually half the length of a radius, but since 497 squared is how long a radius is (unless the question asked that the area if 497 inches squared), i can't really give you a clear answer, but the diameter is 247009 times 2 which is 494018

Step-by-step explanation:

this is the solution of your question

Answer:

Equal

Equal

Equal

Supplementary

Step-by-step explanation:

Just learn the angles tbh, you will need them in the future

[tex]\longrightarrow{\green{3p-3q}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex](p - q)(3)[/tex]

Using distributive property which states that [tex]a(b - c) =( a \times b) - (a \times c)[/tex], we have

[tex] = (3 \times p) - (3 \times q)[/tex]

[tex] = 3p - 3q[/tex]

[tex]\pink{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]

Answer:

3p - 3q

Step-by-step explanation:

( p - q ) ( 3 )

use distribute property which means multiply each terms in the parantheses by 3.

3 × p - 3 × q

3p - 3q

Answer:

(12,7) is not a solution

Step-by-step explanation:

Given

[tex]y\ge x+5\hspace{50px}y\ge\frac{2}{3}x + 6[/tex]

Required

Point that is not a solution

We have:

[tex]y\ge x+5\hspace{50px}y\ge\frac{2}{3}x + 6[/tex]

Substitute [tex]\frac{2}{3}x + 6[/tex] for y in the first inequality

[tex]\frac{2}{3}x + 6 \ge x + 5[/tex]

Collect like terms

[tex]\frac{2}{3}x - x \ge 5-6[/tex]

[tex]-\frac{1}{3}x \ge -1[/tex]

Solve for x (the inequality will change because we are to divide by a  negative number_

[tex]x \le -1/-\frac{1}{3}[/tex]

[tex]x \le 3[/tex]

Without solving further, we can conclude that the first option is not a solution.

Because (12,7) implies that [tex]x =12[/tex]

Compare [tex]x =12[/tex] to [tex]x \le 3[/tex], then [tex]x \le 3[/tex] is false

Answer:

173.2 cm²

Step-by-step explanation:

Use the equilateral triangle area formula, A = [tex]\frac{\sqrt{3}}{4}[/tex]a²

Plug in the side length and solve:

A = [tex]\frac{\sqrt{3}}{4}[/tex]a²

A = [tex]\frac{\sqrt{3}}{4}[/tex](20)²

A = [tex]\frac{\sqrt{3}}{4}[/tex](400)

A = 173.2

So, the area of the triangle is approximately 173.2 cm²

Answer:

1 has 1 solution

2 has one solution

3 has no solutions The lines are parallel

Answer:

y=-3x+15

is the equation that passes through the point (5,0) and is the parallel line to y=-3x+2

Step-by-step explanation:

find the slope of the original line and use the point-slope formula y-y₁=m(x-x₁) to find the parallel line of y=-3x+2, which if done correctly you should end up with y=-3x+15.

hope this helps

We have been given two right triangles. We are asked to find the value of x, which will make both triangles similar by Hypotenuse-Leg congruence.

Hypotenuse-Leg theorem states if one leg and hypotenuse of a right triangle is congruent to the one leg and hypotenuse of other right triangle, then both triangles are congruent.

So we can set an equation as:

2x + 1= 9

Upon subtracting 1 from both sides we will get,

2x+1 -1 = 9-1

2x=8

Dividing both sides of our equation by 2 we will get,

x= 4

For the triangles to be congruent by the HL Congruence Theorem, the value of x must be: C. 4.

If a leg and the hypotenuse of one right triangle are congruent to a corresponding leg and the hypotenuse of another right triangles, the HL Congruence Theorem states that the triangles are congruent to each other.

Therefore, the two corresponding parts of the right triangles are given as:

Thus:

2x + 1 = 9 (HL Congruence Theorem)

2x = 9 - 1

2x = 8

x = 4

Therefore, for the triangles to be congruent by the HL Congruence Theorem, the value of x must be: C. 4.

Learn more about the HL Congruence Theorem on:

https://brainly.com/question/4155972

Answer: The number of people can be expected to have cold = 34

Step-by-step explanation:

Given: The ratio of people who actually have the flu to the people who have flu-like symptoms is 1:6.

If a doctor sees 40 patients, then the number of people can be expected to have cold = [tex]40\times\dfrac{6}{1+6}[/tex]

[tex]=40\times\dfrac6{7}[/tex]

[tex]=\dfrac{240}{7}\\\\=34.29\approx34[/tex]

Hence, the number of people can be expected to have cold = 34

Answer:

slope = 1/2

y intercept = 2

slope intercept form = y = 1/2x + 2

Step-by-step explanation:

Answer:

Slope: 2

y-intercept: 2

Slope intercept form: y=2x+2

Step-by-step explanation:

Hope this helps!

Answer:

x = 0.6

Step-by-step explanation:

2(x+4)+8x = 14

2x+8+8x = 14

10x+8 = 14

10x = 6

(divide by 10)

x= 0.6