Solve x2 14x = −24 by completing the square. what is the solution set of the equation?

Answer:

x = -1, y = 1

Step-by-step explanation:

Multiply the top equation by 2:

[tex]2x - 2y = - 4[/tex]

Leaving the bottom equation unchanged, add the two resulting equations to eliminate y, obtaining:

[tex]9x = - 9[/tex]

Solve this for x, and then substitute this value of x into the bottom equation. Finally, solve for y.

[tex]x = - 1[/tex]

[tex]7( - 1) + 2y = - 5[/tex]

[tex] - 7 + 2y = - 5[/tex]

[tex]2y = 2[/tex]

[tex]y = 1[/tex]

Answer:

Class 1.

Step-by-step explanation:

Class 1 has the greater interquartile range.

Answer:

Class #2

Step-by-step explanation:

IQR of Class #1:

85 - 72 = 13

IQR of Class #2:

90 - 70 = 20

Class #2 has a greater IQR!

Hope this helps!

Step-by-step explanation:

8500× 8

8500

× 8

52000

so,

I will complete your answer

you can any doubt please ask to me

the interest rate per year is = 52000 answer

Answer:

Substitute n to that 0.72 and multiply it from 3.6

answer would be 2.592

Step-by-step explanation:

What we know:      

[tex]f(x)=3^2+10x\\g(x)=2x-4[/tex]                

(Also, [tex]3^2=9[/tex])

What we need to solve:

[tex](f-g)(x)[/tex]             (This is equal to [tex]f(x)-g(x)[/tex])

How you have to subtract [tex]f(x)[/tex] with [tex]g(x)[/tex] to get:

[tex](f-g)(x) = f(x)-g(x) = 9+10x+2x-4 = 12x+5[/tex]

Thus, the answer would be:

[tex]12x+5[/tex]

Answer:

40

Step-by-step explanation:

its just 4 x 10, move the triangle to the other side

unless its not a triangle lol

then i have no idea

Answer:

[tex]\log\left(\dfrac{\sqrt{x}\:z^2}{4y^2}\right)[/tex]

Step-by-step explanation:

[tex]\dfrac12\log(x)-2\log(2y)+2\log(z)[/tex]

[tex]\textsf{Apply log power rule}: \quad n \log(x)=log(x)^n[/tex]

[tex]\implies \log(x)^{\frac12}-\log(2y)^2+\log(z)^2[/tex]

[tex]\textsf{Apply exponent rule}: \quad(ab)^c=a^cb^c[/tex]

[tex]\implies \log(\sqrt{x})-\log(4y^2)+\log(z^2)[/tex]

[tex]\textsf{Apply log quotient rule}: \quad \log(x)-\log(y)=log(\frac{x}{y})[/tex]

[tex]\implies \log\left(\dfrac{\sqrt{x}}{4y^2}\right)+\log(z^2)[/tex]

[tex]\textsf{Apply log product rule}: \quad \log(x)+\log(y)=log(xy)[/tex]

[tex]\implies \log\left(\dfrac{\sqrt{x}\:z^2}{4y^2}\right)[/tex]

Answer:

6 pi inches

Step-by-step explanation:

Entire minute is one entire circle

  circumference = pi * d = pi * 2r = pi * 2 * 6 = 12 pi inches

from 6 to 12 position is half of a cirlce , so 6 pi inches

Answer:

6 pi inches

Step-by-step explanation:
IT MIGHT BE WRONG IF IT IS LET ME KNOW

have a nice day/night

-<-   :)

One pound of nuts cost $2.80 -> 2 pounds cost $2.80 x 2 = $5.60

We can find the amount of change he got : $10.00 - $5.60 = $4.40

Answer : D

Answer:

e) none of these​

Explanation:

Answer:

e) None of these.

Step-by-step explanation:

Let the unknown number be x, then:

0.65*320 + x = 686

208 + x = 686

x = 686 - 208

= 478

Answer:

1,572,861 is the answer please

Answer:

-9

Step-by-step explanation:

-3x+y=-7

-3x+y-2

-7-2=-9

Answer:

Negative

Step-by-step explanation:

This is the same as saying -12,365 + 110

This equals -12,265

Hope that helps!

Answer:

Same sign - Positive

Different sign - Negative

only for some maths

Answer: B

Step-by-step explanation:

In 6 months she will have to pay $921

In 1 month she has to pay [tex]\frac{921}{6}[/tex] = $153.50

Each month, Yvette has to pay $153.50 in order to pay off the tires before she will have to pay interest

Therefore, B is the correct answer

Answer:

799.04

Step-by-step explanation:

if 8 is the radius, use pi(r)^2 to get 64 pi is the area of the circle, plug in 3.14 and you will get 200.96 - 50(20) which is 1000 so you get 779.04

Ball is sphere

SurfAce area:-

Answer:

Formula

Surface area of a sphere:

[tex]\sf SA=4\pi r^2[/tex]  (where r is the radius)

Given information

[tex]\pi[/tex] = 3.14

r = 16

Final solution

Substitute given values into the equation and solve:

[tex]\sf \implies SA=4 \cdot 3.14 \cdot 16^2[/tex]

            [tex]\sf =3215.36 \ cm^2[/tex]

Answer:

The answer is given in the picture

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT

Answer:

  119 cm²

Step-by-step explanation:

The area of a composite shape can be found by dividing it into shapes whose area formulas you know.

__

Here, the shape can be divided into 3 rectangles by extending the vertical lines through the figure. Left to right, those rectangles are ...

  2 wide × 17 hign ⇒ area = (2 cm)(17 cm) = 34 cm²

  10 wide × 7 high ⇒ area = (10 cm)(7 cm) = 70 cm²

  5 wide × 3 high ⇒ area = (5 cm)(3 cm) = 15 cm²

Then the total area is ...

  (34 +70 +15) cm² = 119 cm²

Answer:

Step-by-step explanation:

Remark

You could do this simply by taking 3 jumps, without using a formula. That would work as well, but I think it is easier just to make 3 jumps.

Jump One

The frog starts out 6 meters from an edge. (He/she starts at the middle). The frog makes 1 jump.

He lands 3 meters (1/2 the distance) from the edge.

Jump Two

He jumps in such a way that he is 1/2 the distance from the edge. So far he is 3 meters away. His jump puts him 1 1/2 meters from the edge.

Jump Three

The frog makes one last jump. It is 1 1/2 meters from the edge. The third jump takes it 1/2 * 3/2 = 3/4 a meter away from the edge.

Answer: 3/4 of a meter from the edge.

Answer:

Hope the pictures will help you..

$79333

[tex]salary:x[/tex]

[tex]12\%x=8500[/tex]

[tex]x=8500\div 12\%[/tex]

[tex]x=70833[/tex]

[tex]70833+8500=\$79333[/tex]

I hope this helps you

:)

Answer: 60 cubic units is the volume

Step-by-step explanation: multiply the base area and the height. The base area is 4 cubes and 3 cubes so equals 12 . Then the height is 5 cubes so multiply equals 60 but I am sorry I only know the volume

Answer: all answers down below ⬇️

Step-by-step explanation:

The volume is 56

I added by 5s until i got 50 units and then there were only six more

Well if that happend the volume would be 36 if I’m right

add by 5s then 4s

Answer:

[tex]\sf \dfrac{4}{5}[/tex]

Step-by-step explanation:

(3,7) ⇒ x₁ = 3 & y₁ = 7

(8 ,11) ⇒ x₂ = 8 & y₂= 11

Slope

[tex]\boxed{Slope = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}[/tex]

          [tex]\sf =\dfrac{11 -7}{8 -3}\\\\\\ = \dfrac{4}{5}[/tex]

Answer:

6(f-2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

If you solve the highest common  factor first, then you can look for other factors.

Solution

6 = 2 * 3

12 = 2*2*3

The highest common factor is one 2 and one 3 making 6.

Use the distributive property to show what the 2 factors look like when the common factor is taken out.

6( f - 2)

Other factors.

You could take out just 1 factor like 2 or 3

2(3f - 6)

3(2f - 4)

Answer

I would submit 6(f - 2)

The GCF of 24x and 18y is their greatest common factor

The equivalent expression of 24x + 18y is 6(4x + 3y)

The expression is given as:

24x + 18y

Express each term as the product of 6

24x + 18y = 6 * 4x + 6 * 3y

Factor out 6 from the expression

24x + 18y = 6 (4x + 3y)

Hence, the equivalent expression of 24x + 18y is 6(4x + 3y)

Read more about equivalent expressions at:

https://brainly.com/question/2972832

Answer:

x=2.87083

Step-by-step explanation:

y = –2x^2 + 4x +5

ax^2 + bx + c = 0

a= -2

b= 4

c= 5

Quadratic formula: x= -b±√b^2-4ac over 2a

1. plug in the numbers

2. x= -4 ± √4^2 -4(-2)(5) over 2(-2)

3. x= -4 ± √16+40 over -4

4. x= -4 ± √56 over -4

next simplify ratidal

x= -4 ± √2·2·2·7 over -4

x= -4 ± 2√2·7 over -4

x= -4 ± 2√14 over -4

divide both sives over four

x= -4 over -4 ± 2√14 over -4

x= -1 over -1 ± √14 over -2  

answer:

x=2.87083

2³+3²-3×4-5²÷5+(7×4)

= 8+9-3×4-25÷5+7×4

=8+9-12-5+28

=28

Answer:

$0.01 or 1 cent.

Step-by-step explanation:

Case: 12 quarts = $4.08

1 quart for case= $0.34

A quart normal= $0.35

0.35-0.34=$0.01

Answer:

it is B.

Step-by-step explanation:

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