3 of item A, 7 of item B and 1 of item C in a toy collection cost $31.50. 4 of item A, 10 item B and 1 C in the same collection cost $42. Find the price of item A+B+C.

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: (p - 6)(p + 14) }}}}}}[/tex]

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

[tex] {p}^{2} + 8p - 84[/tex]

[tex] = {p}^{2} + 14p - 6p - 84[/tex]

Taking [tex]p[/tex] as common from first two terms and [tex]6[/tex] from last two terms, we have

[tex] = p(p + 14) - 6(p + 14)[/tex]

Taking the factor [tex](p+14)[/tex] as common,

[tex] = (p - 6)(p + 14)[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Mystique35 }}{\red{❦}}}}}[/tex]

[tex] \green{\huge{\red{\boxed{\green{\mathfrak{QUESTION}}}}}} [/tex]

What is the slope of y = - x + 7

[tex] \red{ \bold{ \textit{STANDARD \: EQUATION}}}[/tex]

[tex]y = mx + c[/tex]

[tex]WHERE \\ m = SLOPE \\ c = Y - INTERCEPT[/tex]

[tex] \huge\green{\boxed{\huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}}}[/tex]

[tex] \blue{A.T.Q}[/tex]

[tex]y = mx + c \sim y = ( - 1)x + 7[/tex]

[tex] \orange{SO}[/tex]

m= (-1)

which is equal to the slope of the equation .

[tex] \red \star{Thanks \: And \: Brainlist} \blue\star \\ \green\star If \: U \: Liked \: My \: Answer \purple \star[/tex]

[tex]\displaystyle\2^{2x+1}-9\cdot 2^x+4=0 \quad ; \qquad \boxed{ 2^x=t \; ; \; 2^{2x}=t^2} \\\\2t^2-9t+4=0 \\\\D=81-32 =49 \\\\ t_1=\frac{9+7}{4} =4 \\\\ t_2=\frac{9-7}{4} =\frac{1}{2} \\\\1) \ 2^x=4 \Longrightarrow x_1=2 \qquad 2) \ 2^x=2^{-1}\Longrightarrow x_2=-1 \\\\Answer: \boxed{x_1=2 \quad ; \quad x_2=-1}[/tex]

Answer:

the answer is A

Step-by-step explanation:

comment if you want explanation

Answer:

A is the answer to your question

Answer:

18p - 12 = 20

Step-by-step explanation:

=> 6(3p – 2) = 20

=> 6x3p – 6x2 = 20

=> 18p - 12 = 20

Answer:

18p -12 = 20

Step-by-step explanation:

6(3p – 2) = 20

Distribute

6*3p - 6*2 =20

18p -12 = 20

Answer:

41.43 fruits

Step-by-step explanation:

Average number of fruits= sum of fruits for each dat ÷ total number of fruits

[tex] \frac{60 + 40 + 20 + 40 + 80 + 30 + 20}{7} [/tex]

[tex] = \frac{290}{7} [/tex]

[tex] = 41.43 \: fruits[/tex]

Answer:

x = 17

Step-by-step explanation:

If AB // DE, then angle 5 and angle 6 are alternate interior angle and they should be congruent.

5x + 16 = 3x + 50

Subtract 16 from both sides

5x = 3x + 50 - 16

5x = 3x + 34

Subtract 3x from both sides

5x - 3x = 34

2x = 34

Divide both sides by 2

x = 34/2

x = 17

Answer:

3x + 50 = 5x + 16

5x - 3x = 50-16

2x = 34

x = 17

Answer:  [tex]6\sqrt{5}[/tex]  miles

This is the same as writing 6*sqrt(5) miles

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

Work Shown:

P = park

C = city hall

Point P is at the location (10,11)

Point C is at the location (7,5)

Apply the distance formula to find the length of segment PC

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(10-7)^2 + (11-5)^2}\\\\d = \sqrt{(3)^2 + (6)^2}\\\\d = \sqrt{9 + 36}\\\\d = \sqrt{45}\\\\d = \sqrt{9*5}\\\\d = \sqrt{9}*\sqrt{5}\\\\d = 3\sqrt{5}\\\\d \approx 6.7082039\\\\[/tex]

The exact distance between the park (P) and city hall (C) is [tex]3\sqrt{5}[/tex] miles.

This doubles to [tex]2*3\sqrt{5} = 6\sqrt{5}[/tex] miles because the runners go from P to C, then back to P again. In other words, they run along segment PC twice. This is assuming there is a straight line road connecting the two locations.

Extra info:

[tex]6\sqrt{5} \approx 13.41641[/tex] so the runner travels a total distance of roughly 13.4 miles.

Answer: read below

Step-by-step explanation:

A circle graph is a graph showing proportions of thing that label the person by using different colours

ANSWER :

- ( x+ 2 ) + 4

-x - 2 + 4

-x + 2

Answer:

−x+2

Step-by-step explanation:

-(x+2)+4 Distribute the negative sign (-) outside of the parenthesis with x and 2 and that will turn into -x-2+4.

Add -2 and 4 and that will turn into -x+2.

Answer:

(y - 1) = 4(x +1)

Step-by-step explanation:

slope =  4

B = -4

given point (-1,1)

y = 4x -4 (this is the slope intercept form)

[tex](Y - Y_{1 }) = M (X - X_{1} )[/tex] (point slope form)

(y - 1) = 4(x +1) ... that is the point slope form

Answer:

I think A is correct

Step-by-step explanation:

I can't see D so I'm not sure, hope it's right

Answer:B

Step-by-step explanation:because im smart

Answer:

The value of x is 8 .

Step-by-step explanation:

It is known that EF = x cm , GH = (x + 6) cm , RS = 16 cm and NP = 28 cm . Knowing that EF ,GH , RS , and NP are, in that order, proportional segments, determine the value of x .

As EF, GH, RS and NP are in proportion

So,

EF : GH = RS : NP

[tex]\frac{x}{x+6}=\frac{16}{28}\\\\7 x = 4 (x + 6)\\\\7 x = 4 x + 24 \\\\3 x = 24 \\\\x = 8[/tex]

Answer:

Capacity of the rectangular tank in litres is 165.75l

Step-by-step explanation:

Volume of the tank

[tex] = lbh[/tex]

[tex] = 85 \times 65 \times 30[/tex]

[tex] = 165750 {cm}^{3} [/tex]

Capacity of the tank

[tex] = 165750ml[/tex]

[tex] = 165.75l[/tex]

Answer:

C: 165mi, 40mi, 115mi

Step-by-step explanation:

hope it helps :)

Answer:

x- intercept = - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{1}{2}[/tex] and c = - 2 , then

y = - [tex]\frac{1}{2}[/tex] x - 2 ← equation of line

To find the x- intercept let y = 0

0 = - [tex]\frac{1}{2}[/tex] x - 2 ( add 2 to both sides )

2 = - [tex]\frac{1}{2}[/tex] x ( multiply both sides by - 2 to clear the fraction )

- 4 = x

The x- intercept is - 4

Answer:

The total amount of celery and onion needed for the soup is 7/10 cup.

Step-by-step explanation:

2/4 + 1/5 = 7/10 cup.

hope it helped :)

mark me brainliest!

Step-by-step explanation:

We write that x belongs to the interval if a ≤ x ≤ b. Graphically, a closed interval is represented by a segment whose two ends are filled. To write this interval in interval notation, you must use square brackets: [a,b].

Answer:

Step-by-step explanation:

Answer:

1., 2., 3., 5.

Step-by-step explanation:

2 2/3 x 1 1/2 =

= (2 * 3 + 2)/3 * (1 * 2 + 1)/2

= 8/3 * 3/2

= 24/6

= 4

Answer:

Write the mixed numbers as improper fractions.

Multiply the numerators to get 24.

Multiply the denominators to get 6.

Write the improper fraction as a mixed number.

The product is 4.

Step-by-step explanation:

the other person is wrong

I purposely got this question wrong so I can see the right answers

these are the correct answers

(edge)

Answer:

[tex](2 {a}^{2} + 1)(1 {a}^{2} + 9)[/tex]

Step-by-step explanation:

[tex]2 {a}^{4} + 19 {a}^{2} + 9 \\ 2 {a}^{4} + {a}^{2} + 18{a}^{2} + 9 \\ {a}^{2} (2 {a}^{2} + 1) + 9(2 {a}^{2} + 1) \\ (2 {a}^{2} + 1)( {a}^{2} + 9) \\ [/tex]

Answer:

k(x) = -2|x - (-3)| + 4

Step-by-step explanation:

Parent function for the graph is,

f(x) = |x|

If the parent function is vertically stretched by a scale factor of 2,

New function will be,

g(x) = 2|x|

If the function 'g' is reflected across x-axis,

h(x) = -2|x|

If the function 'h' is translated 3 units left and 4 units upwards, new function will be,

k(x) = -2|x - (-3)| + 4

Answer:

DOMAIN

RANGE

Answer:

you are posting unvisibile photo pls fix it

Step-by-step explanation: