What are the zeros of this quadratic function?
AX) = (x-7)(x+8)
ОА.
x=0 and x= -8
OB.
x= 7 and x=-8
Ос.
x= -7 and x= 8
OD.
x= 0 and x=7

Answer:

The width and length of the old card are 2 inches and 4 inches respectively.

Step-by-step explanation:

The given scale factor, [tex]C=\frac{5}{4}[/tex]

She draws is a rectangle by using the scale factor of C.

The width of her drawing, [tex]b=2\frac{1}{2}[/tex] [tex]=\frac{5}{2}[/tex] inch, and

the length of the drawing, [tex]a=5[/tex] inch.

Let [tex]a'[/tex] and [tex]b'[/tex] be the length and width of her reference business card (the old one as mentioned).

[tex]\text{Scale factor}=\frac{\text{New dimension}}{\text{Reference dimention}}[/tex]

Here, the dimension is the length of the sides of rectangular cards.

So, [tex]C=\frac{a}{a'}[/tex] and [tex]C=\frac{b}{b'}[/tex]

[tex]\Rightarrow \frac{5}{4}=\frac{5}{a'}[/tex]

[tex]\Rightarrow a'=4[/tex] inch

and  [tex]\frac{5}{4}=\frac{5/2}{b'}[/tex]

[tex]\Rightarrow b'=2[/tex] inch

So, the old business card is of the dimensions 2 inches by 4 inches, which are the correct dimensions.

Actually, the print shop multiplied he scale-factor, C, with the new scaled length to get the reference length (lengths of original old card), which was the error. In, fact, as already described earlier, the new dimensions can be obtained by multiplying the scale-factor, C, with the reference dimensions.

Answer:

C. The scale factor is a fraction so the scale drawing is a reduction, and the original card is 2 inches by 4 inches.

Step-by-step explanation:

Answer:

The 1st one

Step-by-step explanation:

I would explain but you said u need help fast

Answer:

15 ways

Step-by-step explanation:

The answer would be 6 choose 2, which is:

[tex]\frac{6!}{2!4!} = \frac{6\cdot5\cdot4!}{4!2!}=\frac{6\cdot5}{2}=15[/tex]

Therefore, there are 15 ways to choose 2 of the 6 water bottles Alan has.

By the way, if this helps, could you please give me brainliest? :)

Answer: It would be 144 inches

Step-by-step explanation:

Answer:

144 inches long

Step-by-step explanation:

there are 36 inches in one yard, so you eliminate any answers that are under 36 inches. Then you multiple 36inches times 4 yards to find your answer. 36 x 4 = I44

Answer:

.6x=540, x= number surveyed

Step-by-step explanation:

.6×=540

x=number surveyed

60% of number surveyed is 540

multiply where "of" is and "is" is the equal sign

Answer:

C-----> x<-7

Step-by-step explanation:

first u do this to turn x in positive and consequently change the > to an <:

(-1).(-4x)>28.(-1)

so:

4x<-28

x<-7

# when multiplying each side by (-1), you have to change the symbol (>) to an (<), or (<) to an (>)

Answer:

F=ma

F=1250*40

F=50000N

Answer:

correct

Step-by-step explanation:

x means up and down and it is at -3

y means side to side and it is at -7

Answer:

A4= -24

A9= -39

A16=-60

Answer:

c = 7

Step-by-step explanation:

14 + 3c = 35

Move the constants to the right.

3c = 35 - 14

Calculate.

3c = 21

Divide both sides.

c = 7

Answer:

square root of 17, 4 2/3, 5.2, square root of 32

Step-by-step explanation:

square root of 17 = 4.123105625617661

Square root of 32 = 5.656854249492381

4 2/3 = 4.66.....

Answer:

Step-by-step explanation:

Given the expression [tex]\frac{720,800}{x} = 7.208[/tex], we are to find the value of with powers of 10.

From the equation:

[tex]\frac{720,800}{x} = 7.208[/tex]

cross multiply

[tex]720,800 = 7.208x\\7.208x = 720,800[/tex]

divide both sides by 7.208

[tex]\frac{7.208x}{7.208} = \frac{720,800}{7.208} \\x = 100,000[/tex]

express x in powers of 10

[tex]x = 10 * 10 * 10 * 10* 10\\x = 10^5[/tex]

Similarly given the equation [tex]\frac{720,800}{y} = 72.08[/tex]

From the equation:

[tex]\frac{720,800}{x} = 72.08[/tex]

cross multiply

[tex]720,800 = 72.08x\\72.08x = 720,800[/tex]

divide both sides by 7.208

[tex]\frac{72.08x}{72.08} = \frac{720,800}{72.08} \\x = 10,000[/tex]

express x in powers of 10

[tex]x = 10 * 10 * 10 * 10\\x = 10^4[/tex]

For the equation [tex]\frac{720,800}{z} = 720.8[/tex]

From the equation:

[tex]\frac{720,800}{z} = 720.8[/tex]

cross multiply

[tex]720,800 = 720.8z\\720.8z = 720,800[/tex]

divide both sides by 7.208

[tex]\frac{72.08z}{720.8} = \frac{720,800}{720.8} \\z = 1,000[/tex]

express x in powers of 10

[tex]z = 10 * 10 * 10\\z = 10^3[/tex]

The dividing 720,800 by 101010 successively four times in the parentheses results in 720.8

To complete the equations using powers of 101010:

720,800 ÷ (720,800 ÷ 720,800) = 7.208 = 7.208 equals 7.208

Explanation: Dividing 720,800 by 720,800, and then dividing the result by 720,800, yields 7.208.

720,800 ÷ (720,800 ÷ (720,800 ÷ 101010)) = 72.08 = 72.08 equals 72.08

Explanation: Dividing 720,800 by 101010, and then dividing 720,800 by the result, and finally dividing 720,800 by the new result, gives us 72.08.

720,800 ÷ (720,800 ÷ (720,800 ÷ (720,800 ÷ 101010))) = 720.8 = 720.8 equals 720.8

To know more about parentheses here

https://brainly.com/question/3572440

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Answer:

[tex]V=80x-36x^2+4x^3[/tex]

Step-by-step explanation:

The volume of a box of dimensions a, b, c is:

V=abc

The box shown in the image has dimensions 8-2x, 10-2x, x, thus its volume is:

[tex]V=(8-2x)(10-2x)(x)[/tex]

Operating the first two brackets:

[tex]V=(80-16x-20x+4x^2)(x)[/tex]

Joining like terms:

[tex]V=(80-36x+4x^2)(x)[/tex]

Multiplying again:

[tex]V=80x-36x^2+4x^3[/tex]

The volume of the box is

[tex]\boxed{V=80x-36x^2+4x^3}[/tex]

There are 16 game pieces are red.

It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

Given:

Total game pieces = 76

Four out of every 19 pieces are red.

So, number of rounds

= 76/19

= 4

Then,  number of red pieces= 4x4=16

Hence, there is 16 red pieces.

Learn more about unitary method here:

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Answer:

c= e/d-ab/d

Step-by-step explanation:

The equation ab + cd = e is solved for the variable 'c' will be c = (e + ab) / d.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The equation is given below.

ab + cd = e

Simplify the equation for c, then we have

ab + cd = e

cd = e + ab

c = (e + ab) / d

The equation ab + cd = e is solved for the variable 'c' will be c = (e + ab) / d.

More about the solution of the equation link is given below.

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Complete question :

Answer:

Kindly check explanation

Step-by-step explanation:

Given the expression :

Total cost after tax = 0.08(50h) + 50h

a. What part of the expression represents the amount of tax Deborah has to pay? Explain

0.08(50h) represents Tha amount of tax Deborah has to pay. This can be interpreted as :

Recall;

Tax amount = tax rate * cost

Cost of repair = 50h = 50 per hour

Tax rate = 0.08 = 8% of the total cost;

Hence; 0.08(50h) = tax Deborah has to pay.

What would the expression be if the company charged Deborah $45 per hour to repair the computer (plus tax)?

If she was charged $45 per hour plus tax. Expression becomes ;

Total cost after tax = 0.08(45h) + 45h

= 3.6h + 45h

= 48.6h

Answer:

y= 3/2 ​ x −11

Step-by-step explanation:

Answer: t = 62

**look at attachment for explanation

Answer:

For number 2 the answer is X=5,-2

and for number 3 the answer is there is no solution

Answer:

88

Step-by-step explanation:

9 × 8 + 16

72 + 16

88

bdbsjaksouwowjakianska

Answer:

i think its the first one

Step-by-step explanation:

SORRY if you get it wrong

Answer:

i believe its C

Step-by-step explanation:

Answer:

Adriana debe subirse durante 7.5 minutos, Luis durante 24 minutos y Ramiro 28.5 minutos.

Step-by-step explanation:

Asumamos en primer lugar que los tres amigos rentan la cuatrimoto durante una hora, entonces cada persona utiliza la cuatrimoto en proporción al dinero. A continuación, obtenemos el tiempo estimado por cada usuario a partir de una regla de tres simple:

[tex]\Delta t = \frac{c_{a}}{c_{r}}\cdot (60\,min)[/tex]

Donde:

[tex]\Delta t[/tex] - Tiempo de uso de la cuatrimoto, medido en minutos.

[tex]c_{a}[/tex] - Dinero aportado por el usuario, medido en pesos.

[tex]c_{r}[/tex] - Coste de renta de la cuatrimoto, medido en pesos.

Entonces calculamos el tiempo correspondiente a cada amigo:

Adriana ([tex]c_{a} = \$\,50[/tex], [tex]c_{r} = \$\,400[/tex])

[tex]\Delta t = \frac{\$\,50}{\$\,400}\times 60\,min[/tex]

[tex]\Delta t = 7.5\,min[/tex]

Luis ([tex]c_{a} = \$\,160[/tex], [tex]c_{r} = \$\,400[/tex])

[tex]\Delta t = \frac{\$\,160}{\$\,400}\times 60\,min[/tex]

[tex]\Delta t = 24\,min[/tex]

Ramiro ([tex]c_{a} = \$\,190[/tex], [tex]c_{r} = \$\,400[/tex])

[tex]\Delta t = \frac{\$\,190}{\$\,400}\times 60\,min[/tex]

[tex]\Delta t = 28.5\,min[/tex]

Adriana debe subirse durante 7.5 minutos, Luis durante 24 minutos y Ramiro 28.5 minutos.

Answer:

They sold 38 phone cases.

Step-by-step explanation:

The equation I used to solve is

[tex]570 \div 15[/tex]

Answer:

The product to this problem is simplified to:  [tex]1+14f+49f^{2}[/tex]

Step-by-step explanation:

1) First place out what was given:

[tex](-1 -7f)^{2}[/tex]

Squared is the same thing as multiply to itself, so you would create a pair of

[tex](-1 -7f)^{2}[/tex]  

(For example, if you said: [tex]x^{2}[/tex] it is the same as saying or putting: x · x)

2) Then create your pair which would look like:

[tex](-1 -7f)(-1 -7f)[/tex]

3) Next step is to do the FOIL method

(Like how it is shown in the picture, we will do this method and create one whole expression!)

4) Creating and combining your expression into one whole problem, by using the foil method.

[tex](-1 -7f)(-1 -7f)[/tex]

First - F: [tex]1[/tex]

Outside - O: [tex]7f[/tex]

Inside - I: [tex]7f[/tex]

Last: [tex]49f^{2}[/tex]

This will be:

[tex]1+14f+49f^{2}[/tex]

And this will be your answer!

Answer:

[tex]R=\frac{1}{2} \sqrt{\frac{A}{\pi }}[/tex]

Step-by-step explanation:

To solve an equation for one of its value

∵ A = 4πR²

→ Underline R

∴ A = 4πR²

→ Move 4π to the other side by dividing both sides by 4π

∵ [tex]\frac{A}{4\pi }=\frac{4\pi R^{2} }{4\pi }[/tex]

∴ [tex]\frac{A}{4\pi }=R^{2}[/tex]

→ To find R take √  for both sides

∴ [tex]\sqrt{\frac{A}{4\pi }}=\sqrt{R^{2} }[/tex]

→ You can simplify  [tex]\sqrt{\frac{1}{4}}[/tex] to [tex]\frac{1}{2}[/tex]

∴ [tex]\frac{1}{2} \sqrt{\frac{A}{\pi }}=R[/tex]

→ Switch the two sides

∴ [tex]R=\frac{1}{2} \sqrt{\frac{A}{\pi }}[/tex]

Answer:

Exact Form:

1/2

Decimal Form:

0.5

Step-by-step explanation:

Answer:

let's see what to do buddy...

Step-by-step explanation:

" First four terms " means :

t(1) , t(2) , t(3) , t(4)

[tex]t(1) = a(1) = 5(1) - 1 = 5 - 1 = 4 \\ t(2) = a(2) = 5(2) - 1 = 10 - 1 = 9 \\ t(3) = a(3) = 5(3) - 1 = 15 - 1 = 14 \\ t(4) = a(4) = 5(4) - 1 = 20 - 1 = 19 \\ \\ t(1) = 4 \\ t(2) = 9 \\ t(3) = 14 \\ t(4) = 19[/tex]

So the first four terms

are : 4 , 9 , 14 , 19

Answer:

A line with a positive slope that crosses the x-axis at a positive value

Step-by-step explanation:

it would be A because it would be going through quadrant 1 and 5 which has positive values as there divider