Combine Like Terms
22+15x=34-17x​

Answer:

3, 4, 5

Step-by-step explanation:

3 ^2 = 9

4 ^2 = 16

5 ^2 = 25

9 + 16 = 25

Answer:

Step-by-step explanation:

1)  :)

2) :(

3) :(

4) :(

5) :)

Answer:

Step-by-step explanation:

                                           Justifications

-2(x + 6) < 3(x + 1)                   Given

-2x - 12 < 3x + 3                     Distributive property

-2x < 3x + 15                          Addition property of Order

-5x < 15                                  Subtraction property of Order

x > 3                                       Division property of Order

Answer:

[tex]x=\pm \sqrt{\frac{3}{10}}[/tex]

Step-by-step explanation:

[tex]-10x^2+12-9=0\\\\-10x^2+3=0\\\\-10x^2=-3\\\\x^2=\frac{-3}{-10}\\\\x^2=\frac{3}{10}\\\\[/tex]

here we have to cases

case 1

[tex]x=\sqrt{\frac{3}{10}}\\[/tex]

case 2

[tex]x=-\sqrt{\frac{3}{10}}[/tex]

Given:

Consider the given equation is

[tex]-10x^2+12x-9=0[/tex]

To find:

The roots of x in the given equation.

Solution:

We have,

[tex]-10x^2+12x-9=0[/tex]

On comparing this equation with [tex]ax^2+bx+c=0[/tex], we get

[tex]a=-10,b=12,c=-9[/tex]

Using quadratic formula, we get

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

[tex]x=\dfrac{-(12)\pm \sqrt{(12)^2-4(-10)(-9)}}{2(-10)}[/tex]

[tex]x=\dfrac{-12\pm \sqrt{144-360}}{-20}[/tex]

[tex]x=\dfrac{-12\pm \sqrt{-216}}{-20}[/tex]

We know that, [tex]\sqrt{-1}=i[/tex].

[tex]x=\dfrac{-12\pm 6\sqrt{6}i}{-20}[/tex]

[tex]x=\dfrac{-2(6\mp 3\sqrt{6}i)}{-20}[/tex]

[tex]x=\dfrac{6\mp 3\sqrt{6}i}{10}[/tex]

[tex]x=\dfrac{6+3\sqrt{6}i}{10}[/tex] and [tex]x=\dfrac{6-3\sqrt{6}i}{10}[/tex]

Therefore, the roots of the given equation are [tex]x=\dfrac{6+3\sqrt{6}i}{10}[/tex] and [tex]x=\dfrac{6-3\sqrt{6}i}{10}[/tex].

Answer would most likley be A i think because 1/11 is 0.0909090909091

Answer:

Use M a t h w a y it helps. Trust me.

The sum of scores in quizzes of math is [tex]\boldsymbol{885}[/tex].

"To understand the calculation, check below."

Mean is calculated by dividing sum of all the observations by number of observations.

For a data collection containing numbers that are close together, the mean is the best option.

Total number of quizzes in math [tex]=10[/tex]

Mean scores [tex]=88.5[/tex]

Therefore,

Sum of all scores [tex]=10 \times 88.5[/tex] [tex]=\boldsymbol{885}[/tex]

Find out more information about mean here:

https://brainly.com/question/1363341?referrer=searchResults

Answer:

1:4

Step-by-step explanation:

Given

Volume of orange juice = 50ml

Volume of water = 200mL

Required

Ratio of volume of orange juice to water

Ratio = volume of orange juice/volume of water

Ratio =50mL/200mL

Ratio =5/20

Ratio =1/4 or 1:4

Hence the required ratio is 1:4

Answer:

the answers are Band C

Step-by-step explanation:

B. using the number line n greater than -8

C.8=4.2

8=8

Answer: Slope = 8.000/2.000 = 4.000

x-intercept = 14/-4 = 7/-2 = -3.50000

y-intercept = 14/1 = 14.00000

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

y-(4*x+14)=0

STEP

1

:

Equation of a Straight Line

1.1 Solve y-4x-14 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-4x-14 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 14/1 so this line "cuts" the y axis at y=14.00000

y-intercept = 14/1 = 14.00000

Calculate the X-Intercept :

When y = 0 the value of x is 7/-2 Our line therefore "cuts" the x axis at x=-3.50000

x-intercept = 14/-4 = 7/-2 = -3.50000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 14.000 and for x=2.000, the value of y is 22.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 22.000 - 14.000 = 8.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 8.000/2.000 = 4.000

Geometric figure: Straight Line

Slope = 8.000/2.000 = 4.000

x-intercept = 14/-4 = 7/-2 = -3.50000

y-intercept = 14/1 = 14.00000

Answer:

-17

-14

-10

-5

-2

3

now it is ready

Answer:

there u go

Step-by-step explanation:

your ans is-22, -18,-14, -10,-6,-2,2,5

this is the ans

Answer:

-0.9 gallons per minute

Step-by-step explanation:

Answer:

In order from top to bottom, the tiles are,

x=5+4i

x=-4+5i

x=4-5i

Step-by-step explanation:

All of these solutions are complex numbers, which means the equation has imaginary roots. Complex numbers are written in the form of a+bi, where a is a real number and bi represents the imaginary number. For quadratic equations, complex roots are often also complex conjugates. This means that the solution is x=a+bi, so to find the other conjugate simply switch the sign. For example, if x=5-4i is a solution, so is x=5+4i.

Answer:

CORRECT

Step-by-step explanation:

Answer:

5*9

Step-by-step explanation:

5*9 duh

Answer:

1) angle 1 is 55 degrees

2) angle 2 is 55 degrees

3) angle 3 is 70 degrees

4) angles 1 and 2 are vertical

Step-by-step explanation:

1) angle 1 = 180 - (85 + 40)

2) angle 2 has the same measure of angle 1

3) angle 3 is 180 - (55 + 55)

4) angles 1 and 2 are vertical and congruent

Answer:

£0.40

Step-by-step explanation:

Divide £40 by £3.30 to find the number she can buy

£40 ÷ £3.30 = 12.1212..

That is she can buy 12 light bulbs

cost = 12 × £3.30 = £39.60

change = £40 - £39.60 = £0.40

Answer:

I think the value of x =50

Answer:

So we know that 5x+10 and x +16 should give us 56. So let's combine the like terms.

1) 6x+26=56

Now lets solve for x.

2) 6x=30

   x=5

3) To solve for AB and BC we will plug in the value of x.

AB= (5) + 16= 21

BC= 5(5)+10= 35

You can also double check the right answer by checking whether 21+35 = 56, and in this case it does.

Answer:

The answer is C.

Step-by-step explanation:

I took the test and got it right

Manuel's argument is correct. Paul used the incorrect base area to find the volume of square pyramid X. Then the correct option is C.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A thick or empty device with an approximately round or elliptical base that tapers to a notch is known as a cone.

Cone W has a radius of 6 cm and a height of 5 cm.

The base area of the cone will be

A = πr²

A = π (6)²

A = 113.04 square cm

Then the volume of the cone will be

V = (1/3) x base area x height

V = (1/3) x 113.04 x 5

V = 188.4 cubic cm

Square pyramid X has the same base area and height as cone W.

Then the volume of the square pyramid will be

V = (1/3) x base area x height

V = (1/3) x 113.04 x 5

V = 188.4 cubic cm

Manuel's argument is correct. Paul used the incorrect base area to find the volume of square pyramid X.

Then the correct option is C.

The question was incomplete, but the complete question is attached below.

More about the geometry link is given below.

https://brainly.com/question/7558603

#SPJ2

Answer:

Step-by-step explanation:

Answer: 14 units?

Step-by-step explanation: Sorry if its wrong.....

9514 1404 393

Answer:

  (b)  Congruent Figures

Step-by-step explanation:

Reflections, rotations, and translations are called "rigid transformations" because they do not change the size or shape of the figure. The image is always congruent to the original.

On the other hand, dilations change the size of the figure, so the image is not congruent with the original.

Rigid transformations result in congruent figures.

Answer:

a

Step-by-step explanation:

w+3=-4*3

or,w+3=-12

or,w=-12-3

w=-15

Answer:

AC+BD = 78

Step-by-step explanation:

Given that,

AB = 15, AD = 36

We need to find the value of AC+BD.

[tex]BD^2=AB^2+AD^2[/tex]

We can find BD.

[tex]BD^2=15^2+36^2\\\\BD=39[/tex]

According to figure,

BC should be equal to AD and AB should be equal to CD.

AC+BD = BD+BD

= 2BD

= 2 × 39

= 78

So, the value of AC+BD is equal to 78.

Answer:

[tex]t = \frac{3 - 4p}{p + 2}[/tex]

Step-by-step explanation:

Given

[tex]P = \frac{3 - 2t}{4 + t}[/tex]

Required

Make t the subject

[tex]P = \frac{3 - 2t}{4 + t}[/tex]

Cross Multiply

[tex]P * (4 + t) = 3 - 2t[/tex]

[tex]4p + tp = 3 - 2t[/tex]

Collect Like Terms

[tex]tp + 2t = 3 - 4p[/tex]

Factorize:

[tex]t(p+2) = 3 - 4p[/tex]

Make t the subject

[tex]t = \frac{3 - 4p}{p + 2}[/tex]

Step-by-step explanation:

y = 3 is a horizontal line. A line that is perpendicular would be a vertical line. (x = a)

Since it passes through (-2, -8) with x-value of -2,

the line equation is x = -2.

Answer:

72

Step-by-step explanation:

Multiply 72 by .75 and you get 54

Answer:

that

Step-by-step explanation:

that is the solution

Answer:

(1,-1)

Step-by-step explanation:

it's the point of intersection

hope this helps, pls mark brainliest :D

Answer: The number of supervisors are 9 times the number of unicorns.

Step-by-step explanation:

Let the number of supervisors be 'n'.

Let the number of unicorns be 'u'.

According to question, a unicorn daycare center requires there to be 2 supervisors for every 18 unicorns.

So, Mathematically, it is expressed as

so, we established the relationship between the number of supervisors and number of unicorns.

Hence, the number of unicorns are 9 times the number of supervisors.