Solve for x
■ 5(x+4)+5(2-x)

THANKS!!! :)

Answer:

(- 1.5, 1.5 )

Step-by-step explanation:

y = 4x² + 13x + 12 → (1)

y = x + 3 → (2)

At the point of intersection the equations are equal, that is

4x² + 13x + 12 = x + 3 ( subtract x + 3 from both sides )

4x² + 12x + 9 = 0 ← in standard form

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 4 × 9 = 36 and sum = 12

The factors are + 6 and + 6

Use these factors to split the x- term

4x² + 6x + 6x + 9 = 0 ( factor first/second and third/fourth terms )

2x(2x + 3) + 3(2x + 3) = 0 ← factor out (2x + 3) from each term

(2x + 3)(2x + 3) = 0 ← in factored form , that is

(2x + 3)² = 0 , then

2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - [tex]\frac{3}{2}[/tex] = - 1.5

Substitute x = - 1.5 into (2)

y = - 1.5 + 3 = 1.5

Thus there is only 1 point of intersection at (- 1.5, 1.5 )

Using it's concept, it is found that the median number of posts made was of 8.5.

The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.

In this problem, the total number of observations is the sum of the frequencies, hence:

T = 1 + 0 + 3 + 1 + 2 + 1 + 1 + 2 + 3 + 5 + 9 = 28

Even number, hence the median is the mean between the 14th and the 15th elements, of the ordered set, hence:

M = (8 + 9)/2 = 8.5.

To remind, the ordered set is: {0, 1, 1, 1, ..., 8, 8, 8,  9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10}

The median number of posts made was of 8.5.

You can learn more about the median at https://brainly.com/question/16103295

Answer:Quotient is 70

Step-by-step explanation:

35/.5=70

Answer:

[tex]1mm = 0.001m \\ 1000mm = 1m \\ 1cm = 0.01m \\ 100cm = 1m \\ 1km = 1000m \\ 0.001km = 1m \\ 1cm = 10mm \\ 0.1cm = 1mm \\ \\ m \: \: meter \\ cm \: \: centimeter \\ mm \: \: millimeter \\ km \: \: kilometer[/tex]

Answer:

1/6

Step-by-step explanation:

7/9 ÷ 14/3

7/9 x 3/14

7 and 14 cross off leaving 2 in the denominator

3 and cross off leaving 3 in the denominator

so you will get 1/6

Hope this helps

Pls mark brainliest

Answer:

1/6

Step-by-step explanation:

To solve this problem, we need to multiply by the reciprocal

Our problem first off is 7/9 divided by 14/3

But we can’t do that so we multiply by the reciprocal and our problem is:

7/9 x 3/14

This gets us to 21/126 but we can simplify this so we now have 1/6

One way you can remember this method is “keep, change flip”

In other words, keep the first fraction, change the sign from division to multiplication, and flip the other fraction.

Hope this helps and have a good day!!

Step-by-step explanation:

» The base of a the cylinder is a circle, assume it is a general circle;

[tex]{ \tt{area = \pi {r}^{2} }} \\ { \tt{ = 3.14 \times {( \frac{12}{2}) }^{2} }} \\ \\ = { \tt{3.14 \times {6}^{2} }} \\ = { \tt{3.14 \times 36}} \\ { \tt{ =113.0973355292325 }} \\ = { \boxed{ \blue{ \tt{ \: area =113.10 \: {cm}^{2} }}}}[/tex]

since we know the triangles are similar, that means we can use the corresponding sides of each for proportions

[tex]\cfrac{TU}{QR}=\cfrac{UV}{RS}\implies \cfrac{x+5}{24}=\cfrac{36}{54}\implies \cfrac{x+5}{24}=\cfrac{2}{3}\implies 3x+15=48 \\\\\\ 3x=33\implies x=\cfrac{33}{3}\implies x = 11[/tex]

now, the picture is a bit misleading, why did we pick so?

well, one triangle is named QRS, sides QR, RS and SQ

the other triangle is named TUV, sides TU, UV and VT

so you can see which side correspond with the other.

Answer:

m∠B = 31°

Step-by-step explanation:

First, find the measure of angle ACB by subtracting its supplement from 180 degrees:

180 - 113 = 77

m∠ACB = 77°

Then subtract both m∠A and m∠ACB from 180 degrees, since the interior angles of a triangle always add to 180°:

m∠B = 180° - 72° - 77°

m∠B = 31°

Answer:

A length=24ft, width=15ft

Step-by-step explanation:

the side AB have x values of 5 and the side with CD have x values of 10 so the width from b to d or a to c is 5 so the width of the drawing is 5cm

the bottom side AC has y values of 8 and the top side BD has y values of 16 so they are 8 apart so the length of the rectangular drawing is 8cm

then the scale says that 1 cm = 3 ft so multiply the length and width each by 3 to get the answer that the length of the sail is 24ft and the width is 15ft

Hope this helps! :)

Answer:

kite and x=3

Step-by-step explanation:

a kite has 2 pairs of parallel lines.

Using this we would know that:

(9x + 6) has to equal to 11x

9x + 6 = 11x

take all x to one side and number on the other

2x= 6

so x=3

hope this helps!

let's first off convert the mixed fractions to improper fractions, and then get its volume, bearing in mind that the radius is half the diameter.

[tex]\stackrel{mixed}{19\frac{3}{4}}\implies \cfrac{19\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{79}{4}} ~\hfill \stackrel{mixed}{1\frac{2}{5}}\implies \cfrac{1\cdot 5+2}{5}\implies \stackrel{improper}{\cfrac{7}{5}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=\frac{79}{4}\\[1em] r=\frac{7}{5}\cdot \frac{1}{2}\\ \qquad \frac{7}{10} \end{cases}\implies \begin{array}{llll} V=\pi \left( \cfrac{7}{10} \right)^2\left( \cfrac{79}{4} \right)\\\\ V=(3.14) \left( \cfrac{7}{10} \right)^2\left( \cfrac{79}{4} \right)\\\\ V\approx 30.39 \end{array}[/tex]

Answer: [tex]637.5\pi\\\\[/tex] cubic millimeters

We can write this as 637.5pi cubic millimeters

=================================================

Explanation:

Plug the radius r = 5 and the height h = 25.5 into the cylinder volume formula below.

[tex]V = \pi*r^2*h\\\\V = \pi*5^2*25.5\\\\V = \pi*25*25.5\\\\V = \pi*637.5\\\\V = 637.5\pi\\\\[/tex]

Despite having a decimal coefficient, this volume expression is exact in terms of pi.

Use something like pi = 3.14 to find the corresponding approximate volume.

The units for the volume are in cubic millimeters which we can abbreviate as mm^3 or [tex]mm^3[/tex]. Think of a cube that's 1 mm by 1 mm by 1 mm.

Answer:

Step-by-step explanation:

Given equation:

It won't exactly make it but it's the closest.

Your answer is about 89%.

The equation that can be used to determine the number of shirts she bought is

6.85x + 4.50y = 88.65

6.85x + 4.50y = 88.65x + y = z

The total number of hats and shirts isn't given:

let

This can be solved using simultaneous equation

6.85x + 4.50y = 88.65

x + y = z

Learn more about cost:

https://brainly.com/question/19104371

Answer:

-2+5x-8x+4

-3x+3

Step-by-step explanation:

Answer:

6 pounds lost

Step-by-step explanation:

5+4 is 9 9-3 is 6 which means that in total, 6 pounds was lost

Answer:

4^8

Step-by-step explanation:

If you are multiplying two bases that are the same with different exponents, the exponents get added and the base stays the same:

[tex]x^a*x^b=x^{a+b}\\\\4^3*4^5=4^{3+5}\\\\4^3*4^5=4^8[/tex]

Therefore, 4^3 * 4^5 = 4^8

Answer:

NO

Step-by-step explanation:

19 - g = 7 ( subtract 19 from both sides )

- g = - 12 ( multiply both sides by - 1 )

g = 12 ← is the only solution

Answer:

No.

Step-by-step explanation:

To tell whether g = 15 is a solution, you substitute (replace) 15 in the equation.

Substitute 15 in for g:

[tex]19-15=7[/tex]

Solve:

[tex]4\neq 7[/tex]

15 isn't a solution to the equation.

The only solution valid is when g = 12.

Substitute 12 in for g:

[tex]19-12=7[/tex]

Solve:

[tex]7=7[/tex]

Answer:

table 2

Step-by-step explanation:

this is because it is a quadratic equation. in this table the numbers are not negative because of this.

Answer:

48

Step-by-step explanation:

2x6=12

12x4= 48

Answer:

Step-by-step explanation: The x coordinates are the same. So this is a vertical line with an undefined slope.

[tex]\huge\boxed{\tt{Hello~there!}}[/tex]

Equivalent means equal.

So, we need to find fractions that are equal to

[tex]\displaystyle\frac{-3}{7}[/tex]

There's an infinite amount of fractions that are equivalent to the given fraction. Here are some of them:

[tex]\bf{\displaystyle\frac{-6}{14}[/tex], [tex]\bold{\displaystyle\frac{-9}{21} }\\[/tex]...

Hope it helps you.

Feel free to ask if you have any doubts.

[tex]\bf{-MistySparkles^**^*[/tex]

Answer:

Step-by-step explanation:

Given equation:

Factorize it in steps:

The roots are:

[tex]\\ \tt\hookrightarrow 3x^2+5x+2=0[/tex]

[tex]\\ \tt\hookrightarrow 3x^2+3x+2x+2=0[/tex]

[tex]\\ \tt\hookrightarrow 3x(x+1)+2(x+1)=0[/tex]

[tex]\\ \tt\hookrightarrow (3x+2)(x+1)=0[/tex]

[tex]\\ \tt\hookrightarrow x=\dfrac{-2}{3}\:or\:x=-1[/tex]

Answer:

t = 7.5

Step-by-step explanation:

PQ and JK are corresponding sides.

QR and KL are corresponding sides.

[tex] \dfrac{PQ}{JK} = \dfrac{QR}{KL} [/tex]

[tex] \dfrac{25}{5} = \dfrac{t}{1.5} [/tex]

[tex] 5t = 25 \times 1.5 [/tex]

[tex] t = 5 \times 1.5 [/tex]

[tex] t = 7.5 [/tex]

Answer:

Step-by-step explanation:

See the attachment for derivation of the equation.

y = -(6/7)x + 20 6/7

The y-intercept of the equation is 20 6/7, which means there is 20 6/7 hours of setup time required.  When Anna arrives, she has not yet done any setup, so she would not have done any work yet.

In any event, the graph does not tell us how much time Anna really worked.  Did Anna spend 6 or 9 hours on the setup?  We don't know.