Write an algebraic expression for the phrase. 4 times the sum of q and p

Answer:

Step-by-step explanation:

Answer:

A plain pizza is $10.50 and a pepperoni pizza is $12.50

Step-by-step explanation:

Create a system of equations where x is the price of a pepperoni pizza and y is the price of a plain pizza:

3x + 2y = 58.5

2x + 4y = 67

Solve by elimination by multiplying the top equation by -2:

-6x - 4y = -117

2x + 4y = 67

Add these together and solve for x:

-4x = -50

x = 12.5

So, a pepperoni pizza is $12.50. Plug in 12.5 as x into one of the equations, and solve for y:

2x + 4y = 67

2(12.5) + 4y = 67

25 + 4y = 67

4y = 42

y = 10.5

So, a plain pizza is $10.50.

A plain pizza is $10.50 and a pepperoni pizza is $12.50

Given:

A quadratic function has x-intercepts 2 and 6 and its vertex is (4, 8).

To find:

The corresponding quadratic expression.

Solution:

If graph of a function intersect the x-axis at c, then (x-c) is a factor of the function.

A quadratic function has x-intercepts 2 and 6. It means (x-2) and (x-6) are two factors of the required quadratic function.

The function is defined as:

[tex]P(x)=a(x-2)(x-6)[/tex]                    ...(i)

Where, a is a constant.

The vertex of the quadratic function is (4,8). It means the point (4,8) will satisfy the function.

Substituting x=4 and P(x)=8 in (i).

[tex]8=a(4-2)(4-6)[/tex]

[tex]8=a(2)(-2)[/tex]

[tex]8=-4a[/tex]

Divide both sides by -4.

[tex]\dfrac{8}{-4}=a[/tex]

[tex]-2=a[/tex]

Putting [tex]a=-2[/tex] in (i), we get

[tex]P(x)=-2(x-2)(x-6)[/tex]

[tex]P(x)=-2(x^2-6x-2x+12)[/tex]

[tex]P(x)=-2(x^2-8x+12)[/tex]

[tex]P(x)=-2x^2+16x-24[/tex]

Therefore, the correct option is B.

Answer:

im not sure but

Step-by-step explanation:

Deficiency of major elements can lead to nutritional disorders, and their presence in excess can cause obesity. Deficiencies or excess states of semi-major elements often result in water and electrolyte abnormalities

Answr 2.(1.3)^x

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

$50 is 1/6 of $300

(I think this is what you meant. The question was kind of confusing.)

Answer:

I have the same doubt so pls answer

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

[4 / 5 ] * 30 = 24

Answer:

24

Step-by-step explanation:

To get the answer you have to multiply the 4/5 x 30 to get the answer

Answer:

$ 12.50 = $ 25/2

Step-by-step explanation:

Money spent = $ 12.50

To convert the amount in fractions

[tex]12.50\\\\=\frac{1250}{100}\\\\=\frac{125}{10}\\\\=\frac{25}{2}[/tex]

So, the correct option is $25/2

Answer:

82.8

Step-by-step explanation:

LAW OF COSINES

b^2 = a^2 + c^2 − 2ac cos(b)                formula

12^2 = 10^2 + 8^2 - 2(10)(8) cos (b)       substitute and calculate

144 = 100 + 64 - 160 cos (b)                  add like terms

144 = 164-160 cos (b)                             subtract 164

- 20 = -160 cos (b)                                  divide by -160/reduce  

1/8 = cos (b)                                            inverse cos each side

b = 82.8

Answer:

[tex]\frac{7}{12}[/tex]

Step-by-step explanation:

You don't need to add the denominators just add the numerators

7/12

Denomenater is same so u can just add it

thank you

First one is B (43) and the second one is C (35)!

Answer:

below

sin30 = x/8

x = 8 *sin30

x = 4

option A is Correct

Answer:

16 inches

Step-by-step explanation:

c = πd

50.26 = 3.14 * d

Divide both sides by 3.14

d = 16.0

16 inches

Answer:

The diameter is 16 inches

Answer:

Option (1)

Step-by-step explanation:

Area of the polygon = Area of CDE + Area of EFG + Area of ABCF

Area of triangle CDE = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                   = [tex]\frac{1}{2}(3)(2)[/tex]

                                   = 3 units²

Area of ΔCDE = [tex]\frac{1}{2}(5)(1)[/tex]

                       = 2.5 units²

Area of trapezoid ABCF = [tex]\frac{1}{2}(b_1+b_2)h[/tex]

                                        = [tex]\frac{1}{2}(8+11)(4)[/tex]

                                         = 38 units²

Area of the given polygon = 3 + 2.5 + 38

                                            = 43.5 units²

Therefore, Option (1) will be the correct option.

Answer:

c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

If you plot the point (1, 4), you see that the ordered pair falls in the shaded area bounded by the lines. The other ordered pairs fall outside of the shaded area.

Answer:

People live in the U.S. = 320000000

Step-by-step explanation:

Below is the calculation of a number of people who live in the United States.

Since it is given that the population of the U.S is 10 times larger than Canada's population. So, multiply the Canadas population by 10 in order to get the U.S. population.

Canada population = 32 million or 32000000

Thus the U.S. population = 32000000 x 10 = 320000000

Answer:

100 ldnncncbhggtix znzhkgzgjtuustashsh

Answer:

SAS

Step-by-step explanation:

pretty sure since the angle z is connected to both right triangles the sides become congruent.

Answer:

the 'mode' of 8, 8, 9, 10, 11 is 8

Step-by-step explanation:

The 'mode' of a data set is the value that shows up most.  Note how 8 shows up twice here, whereas 9, 10 and 11 show up only once each.

Thus, the 'mode' of 8, 8, 9, 10, 11 is 8.

Answer:

3 meters

Step-by-step explanation:

Assuming the window is rectangular

A = l*h

18 = 6*h

Divide each side by 6

18/6 = 6h/6

3 = h

Answer:

the height of the mountain is 7.35 m

Step-by-step explanation:

Given;

final velocity of the man, v = 12 m/s

initial velocity of the man, u = 0

The height of the mountain is calculated as;

v² = u² + 2gh

v² = 0 + 2gh

v² = 2gh

h = v²/2g

h = (12)² / (2 x 9.8)

h = 7.35 m

Therefore, the height of the mountain is 7.35 m

Answer:

110,050

Step-by-step explanation:

You have a rectangle at the top with a w of 310 and a l of 210 = 65,100

The triangle has a height of 290 and a base of 310 = 44,950

Answer:

owner withdrawal

1.225000

2.3300

Answer:

The answer is option C

Answer:

10

Step-by-step explanation:

Answer:

- [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{3}{8} }[/tex] = - [tex]\frac{8}{3}[/tex]

Answer:

12 bananas

Step-by-step explanation:

We are collecting bananas.

Lets represent, the number of bananas collected by:

Alf = x

Jim = y

Sid = z

Jim has three times as many as Sid.

y = 3z

Alf has 4 times as many as Jim

x = 4y

x = 4 × 3z

x = 12z

Altogether they have 192.

x + y + z = 192..... Equation 1

We substitute

3z for y and 12z fox x in Equation 1

12z + 3z + z = 192

16z = 192

z = 192/16

z = 12

Therefore, since, the number of bananas Sid collected = z

Hence, Sid has 12 bananas exactly

Answer:

the best value is two 50 ml bottles

Step-by-step explanation:

Okay focus with me , if you buy a bottle of 50 ml you will get a second for half price so we can say that --> 2 bottles of 50 ml =

[tex]45 + \frac{45}{2} = 67.5[/tex]

We get 100 ml with £67.5 just , but when you buy 80ml you must pay £55 Hum !

then you can dived the volume of bottle with price ...

[tex] \frac{67.5}{100 } = 0.675[/tex]

[tex] \frac{55}{80} = 0.6875[/tex]

then :

[tex]0.675 < 0.6875[/tex]

so the best value is two 50 ml bottles