You have heard that customers will try a new caterer if the price is 20% below their existing caterer. Your competitor prices a luncheon at $800. What does your price need to be to get customers to try your business? a) $160 b) $640 c) $800 d) $850

Answer:

Hey there!

When z=48, y=6.

z is 8 times as much as y.

11 part 1: z=8y

11 part 2: I'm going to attach a graph I created at the bottom of this answer :)

Let me know if this helps :)

Hello, please consider the following.

When [tex]x_1[/tex] and [tex]x_2[/tex] are two roots, we can factorise as

[tex]ax^2+bx+c=a(x-x_1)(x-x_2)=a(x^2-(x_1+x_2)x+x_1x_2)=0[/tex]

So for the first equation, we can say that the sum of the zeros is

[tex]\dfrac{a^2+b^2}{2}=\dfrac{a^2}{2}+\dfrac{b^2}{2}[/tex]

and the product is

[tex]\dfrac{a^2b^2}{4}=\dfrac{a^2}{2}\dfrac{b^2}{2}[/tex]

So we can factorise as below.

[tex]4x^2-2(a^2+b^2)x+a^2b^2=(2x-a^2)(2x-b^2)=0[/tex]

And the solutions are

[tex]\boxed{\sf \n\bf \ \dfrac{a^2}{2} \ \ and \ \ \dfrac{b^2}{2}}[/tex]

For the second equation, we will complete the square and put the constant on the right side and take the root.

Let's do it!

[tex]9x^2-9(a+b)x+2a^2+5ab+2b^2=0\\\\9(x-\dfrac{a+b}{2})^2-9\dfrac{(a+b)^2}{4}+2a^2+5ab+2b^2=0\\\\9(x-\dfrac{a+b}{2})^2=\dfrac{9(a+b)^2-8a^2-20ab-8b^2}{4}\\\\9(x-\dfrac{a+b}{2})^2=\dfrac{9a^2+18ab+9b^2-8a^2-20ab-8b^2}{4}\\\\9(x-\dfrac{a+b}{2})^2=\dfrac{a^2+b^2-2ab}{4}=\dfrac{(a-b)^2}{4}\\\\(x-\dfrac{a+b}{2})^2=\dfrac{(a-b)^2}{2^2\cdot 3^2}[/tex]

We take the root, and we find the two solutions

[tex]\begin{aligned}x_1&=\dfrac{a+b}{2}-\dfrac{a-b}{6}\\\\&=\dfrac{3a+3b-a+b}{6}\\\\&=\dfrac{2a+4b}{6}\\\\&\boxed{=\dfrac{a+2b}{3}}\end{aligned}[/tex]

[tex]\begin{aligned}x_1&=\dfrac{a+b}{2}+\dfrac{a-b}{6}\\\\&=\dfrac{3a+3b+a-b}{6}\\\\&=\dfrac{4a+2b}{6}\\\\&\boxed{=\dfrac{2a+b}{3}}\end{aligned}[/tex]

Thank you.

Answer:

1/3

Step-by-step explanation:

We can find the slope using the slope formula

m = (y2-y1)/(x2-x1)

    = ( 8-7)/(9-6)

   = 1/3

Answer:

[tex] \frac{1}{3} [/tex]

Step-by-step explanation:

Step 1: Use slope formula

[tex]m= \frac{y2 - y1}{x2 - 1} [/tex]

[tex]m = \frac{8 - 7}{9 - 6} [/tex]

[tex]m = \frac{1}{3} [/tex]

Therefore the slip of the equation is 1/3

Answer:

10 miles away

Step-by-step explanation:

If she travels at only 20 miles per hour, and half of one hour is 30 minutes, then you would divide the amount of miles (20) by 2 to get 10. I'm sorry this isn't the best explanation, but I hope you understand what I am trying to say :((

Answer:

Step-by-step explanation:

g(x) = x² - 2x - 6

h(x) = 2x² - 5x + 2

To find (h-g) (-2) we must first find h - g(x)

To find h - g(x) subtract g(x) from h(x)

We have

To find (h-g) (-2) substitute the value of x that's - 2 into (h - g)(x) that's replace every x in (h - g)(x) by - 2

That's

We have the final answer as

Hope this helps you

Answer:

c= - (sqr em)/m

Step-by-step explanation:

Answer:

c = ± [tex]\sqrt{\frac{e}{m} }[/tex]

Step-by-step explanation:

Given

e = mc² ( divide both sides by m to isolate c² )

[tex]\frac{e}{m}[/tex] = c² ( take the square root of both sides )

c = ± [tex]\sqrt{\frac{e}{m} }[/tex]

Answer:

multiply each coordinate by 2

Step-by-step explanation:

your welcome

Answer:

m<EBD = 130 degrees

Step-by-step explanation:

We can say that Line EC is bisected by Line AD at point B.  The angle CBD = 50 degrees is a supplement of the bisected line EC.  With this in mind we can say:

EBD + CBD = 180

And we can solve for EBD:

EBD + CBD = 180

EBD + 50 = 180

EBD = 130

So the measure of angle EBD is 130 degrees.

Cheers.

Answer:

130°

Step-by-step explanation:

You need the remaining angle. 50° and the missing angle make up 180°. Therefore, you need to subtract 50 from 180. 180 - 50 = 130. Hence, the missing angle is 130°.

I hope it's ok if I used your photo!

The required quotient would be 66 8/25 or 66.32 which is determined by dividing 1,658 by any divisor 25.

A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

* Multiplication operation: Multiplies values on either side of the operator

For example 12×2 = 24

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

We have to determine the quotient.

⇒ 1,658 ÷ 25

Apply the Division operation, and we get

⇒ 1,658 / 25

⇒ 66.32

⇒ 66 8/25

Therefore, the required quotient would be 66 8/25 or 66.32.

Learn more about the quotient here:

brainly.com/question/27796160

#SPJ5

Answer:

3x^2-8x+4

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

edmentum

Answer:

V is 56

Step-by-step explanation:

V= 20+12(3)

V= 20 + 36

V = 56

Answer: The area of the enlargement is 315cm.

Step-by-step explanation:

If the picture has 35cm as the area and it has a length of 7cm  then we can find the width by dividing the area by the length.

w= 35/7

w =  5      

So in this care the width of the picture in 5cm.

Now is saying that the picture's length has been enlarge or been dilated to 21 cm. To get from 7cm to 21cm you will have to multiply  by 3.  

In this situation, we will have to multiply the original picture's width by 3 to find it enlargement.

w= 5*3 = 15  

The width is 15cm and the length is 21cm so multiply them to find the area.

A = 15 * 21

A = 315cm

Answer:

[tex]\huge\boxed{slope=-\dfrac{1}{3}}[/tex]

Step-by-step explanation:

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the coordinates of the given points (-1, -1) and (2, -2):

[tex]m=\dfrac{-2-(-1)}{2-(-1)}=\dfrac{-2+1}{2+1}=\dfrac{-1}{3}=-\dfrac{1}{3}[/tex]

Answer:

9.3 + b = 14.5

Step-by-step explanation:

We are learning about perimeter.

Look for the formula of the perimeter,

P = a + b + c

The question states "The longest side is twice that of the shortest side."

A is the longest side while b is the shortest side.

The shortest side equation would be found below :

6.2 = 2c

c = 3.1

Making a completion of the longest side :

14.5 = 6.2 + 3.1 + b

14.5 + 9.3 + b

Answer:

B.)

Step-by-step explanation:

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{15 \: units}}}}}[/tex]

Step-by-step explanation:

Given,

A( -5 , 4 )⇒ ( x₁ , y₁ )

B ( 7 , -5 )⇒ ( x₂ , y₂ )

Finding distance between these two points

[tex] { \boxed{ \sf {{ distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2}}}}}}[/tex]

plug the values

[tex] \sf{ = \sqrt{ {(7 - ( - 5))}^{2} + {( - 5 - 4)}^{2} } }[/tex]

[tex] \sf{ = \sqrt{ {(7 + 5)}^{2} + {( - 5 - 4)}^{2} } }[/tex]

Calculate the sum

[tex] \sf{ = \sqrt{ {12}^{2} + {( - 9)}^{2} } }[/tex]

Evaluate the power

[tex] \sf{ = \sqrt{144 + 81} }[/tex]

Add the numbers

[tex] \sf{ = \sqrt{ 225} }[/tex]

Calculate

[tex] \sf{ = 15 \: units}[/tex]

Hope I helped!

Best regards!!

Answer:

[tex]t=\dfrac{f-v}{a}[/tex]

Step-by-step explanation:

The equation that represents the final velocity of an object is given by :

f=v+at ....(1)

v is initial velocity

a is acceleration rate

t is time

We need to solve the above equation for t.

Subtracting both sides of equation (1) by v

f-v=v-v+at

f-v=at

Dividing both sides of the above equation by a

[tex]\dfrac{f-v}{a}=\dfrac{at}{a}\\\\t=\dfrac{f-v}{a}[/tex]

So, the value of t is [tex]\dfrac{f-v}{a}[/tex].

Answer:

the answer is A

i am doing the assignment right now and i got it correct

Find the multiples of each number:

16:  2, 4, 8, 16

24: 2, 3, 4, 6, 8, 12

Now for the greatest number of bags, use the greatest common factor.

The greatest common factor is 8

16 / 8 = 2

24 / 8 = 3

She can make 8 bags which contains 2 stickers and 3 bracelets in each bag.

Answer:

8 party bags.

Step-by-step explanation:

We are dealing with greatest common factor.

16= 1,2,4,8

24=1,2,3,4,6,8,12

Now we see the greatest common factor is 8 bags. Since we know its 8 bags, we can make this conclusion. 16/8= 2 stickers each bag. 24/8=3 bracelets each bag. So, the greatest number of party bags she can make is: 8 bags.

More info: 2 stickers each. 3 bracelets each.

Hope this helps! :)

Answer:

x is greater than or equal to -4 but less than or equal to 4

Step-by-step explanation:

The "domain" is all of the x values on the line. But there are an infinite amount of x-values there, so it must be written as that.

Answer:

See below.

Step-by-step explanation:

The domain is simply the range of x-values the graph encompasses. From the given graph, we can see that the graph stretches from x=-4 to x=+4.

However, note that the graph does not include -4 since the point is an open circle. However, it does include +4 since the point is a closed circle. Therefore, the domain of this graph is:

In interval notation:

[tex](-4,4][/tex]

(Parenthesis on the left because -4 is not included. Brackets on the right because +4 is included.)

Answer:

148

Step-by-step explanation:

a straight line is always 180 degrees. therefore if you subtract 32 from 180 you are left with 148 degrees.

hope this helps

Answer:

D

Step-by-step explanation:

∠ ABD and ∠ ABC are adjacent angles and are supplementary, thus

∠ ABD + 32° = 180° ( subtract 32° from both sides )

∠ ABD = 148° → D

Answer: Hello!

-2-(-5) can also be written as -2 + 5.

When subtracting a negative, you're essentially adding, because you are subtracting a negative value. So we would add 5 to -2.

Hope this helps!

Answer:

11hr 20 phone calls

Step-by-step because Maggie earns money from working at the pet store and answering phones. She earns $10 each hour she works at the pet store and $0.25 for each phone call she answers. Maggie answered 60 phone calls and earned $115 last week.

Answer:

[tex]\huge\boxed{Option \ A}[/tex]

Step-by-step explanation:

a) 11 + 2x

[More than => Addition, Sum]

b) [tex]\frac{5}{x} - 2[/tex]

[Quotient => Division, Less than => Subtraction ]

c) 4(x+8)

[Product => Multiplication and it says that there are two terms to be multiplied]

1 => 4 and 2 => (x+8)

Where they are multiplied, they are written as:

=> 4(x+8)

Answer:

Hey there!

Corresponding angles are in the same position, so 1 and 6 are not corresponding angles.

Let me know if this helps :)

Answer:

A

step by step explanation

1 and 6

Answer: B. Start with 45 tiles and separate them into 15 same-sized groups

Step-by-step explanation:

In this case, 45 is divided by 15

#1 we should start with the total amount (dividend) that is going to be divided which is 45

#2 we should separate the dividend into the divisors amount which is 15

with all the steps, we will get the 3 groups of 15 which will be the answer

#CarryOnLearning

Answer:

its b sorry im late

Step-by-step explanation:

Answer:

D) 11x² + 7

Step-by-step explanation:

combine "like" terms

Answer:

The age of mother is:

40 years

Step-by-step explanation:

2a = 5b

b = 16

a = age of a mother

b = age of her son

2a = 5*16

2a = 80

a = 80/2

a = 40

probe:

2*40 = 5*16 = 80