Based on her recipe, Elena knows that 5 servings of granola have 1,750 calories.
Write an equation to represent the relationship between the number of calories and the number of servings of granola.

Given:

Degree of a polynomial = 3

Zeros of the polynomial = 0,5,8

f(10)=17

To find:

The polynomial function.

Solution:

The general form of a polynomial is

[tex]P(x)=a(x-c_1)^{m_1}(x-c_2)^{m_2}...(x-c_n)^{m_n}[/tex]

Where, a is a constant, [tex]c_1,c_2,...,c_n[/tex] are zeros with multiplicity [tex]m_1,m_2,...,m_n[/tex] respectively.

Since, 0,5,8 are zeros of the polynomial, therefore, (x-0),(x-5), (x-8) are the factors of required polynomial.

[tex]f(x)=a(x)(x-5)(x-8)[/tex]           ...(i)

Putting x=10, we get

[tex]f(10)=a(10)(10-5)(10-8)[/tex]

We have f(10)=17.

[tex]17=a(10)(5)(2)[/tex]

[tex]17=a(100)[/tex]

[tex]\dfrac{17}{100}=a[/tex]

[tex]0.17=a[/tex]

Putting a=0.17 in (i).

[tex]f(x)=0.17(x)(x-5)(x-8)[/tex]

Therefore, the required polynomial is [tex]f(x)=0.17(x)(x-5)(x-8)[/tex].

Answer:

Easy. The square there is a right angle which equals 90 degrees. So 180-16-90=74 degrees

Answer:

74

Step-by-step explanation:

A traingle has 180 degrees we know one of the angles is 16 and one is a right angle meaning its 90 degrees, add 16 + 90 and you will get 106, subtract 180 from 106 you will get 74.

Answer:

219.9cm

Step-by-step explanation:

Answer:

I believe the answer is C

Answer:

K=2

Step-by-step explanation:

4*2=8

5*2=10

10*2=20

Answer:

Option c, d and e are equivalent expressions to 7x-14

Step-by-step explanation:

Which expressions are equivalent to 7x - 14

Equivalent Expressions:

The expressions that are the same, even if the expression looks different.

For example: 2x^2+4 is equivalent to 2(x^2+2) because solving 2(x^2+2) we get 2x^2+4

Now, finding equivalent to expressions 7x - 14

Option a) 14 - 7x

Not equivalent to 7x-14

Option b) x-2

Not equivalent to 7x-14

Option c) -(14 – 7x)

Simplifying: -14+7x so, equivalent to 7x-14

Option d) (x - 2)

Simplifying: 7x-14 so, equivalent to 7x-14

Option e) - 14 + 4x

Simplifying: 3x+4x-14 = 7x-14, so, equivalent to 7x-14

Option f) 2x - 10 + 5x + 4

Simplifying: 2x+5x-10+4 = 7x-6 so, Not equivalent to 7x-14

So, Option c, d and e are equivalent expressions to 7x-14

Answer: sorry G. I don’t know it but....don’t worry I’m also failing

Step-by-step explanation:

I’m just like that

Answer: 3 3/4

Step-by-step explanation:

From the question, we are informed that Jerome use 3 1/4 gallons of gasoline while driving from school to his baseball game.

Assuming that he originally had 7 gallons in his car, the amount of gasoline he have left will be:

= 7 - 3 1/4

= 3 3/4 gallons

Answer:

C =  [tex](\sqrt{3} +\sqrt{5} -i)[/tex]

[tex](\sqrt{3} +i)+(\sqrt{5} -2i)[/tex] =    [tex](\sqrt{3} +\sqrt{5} -i)[/tex]

Step-by-step explanation:

Given that the expression

           [tex](\sqrt{3} +i)+(\sqrt{5} -2i)[/tex]

simplification

  =    [tex](\sqrt{3} +\sqrt{5} -2i+i)[/tex]

 =    [tex](\sqrt{3} +\sqrt{5} -i)[/tex]

Answer:

i think so

Step-by-step explanation:

because its greater than or equal to it has to go to the left

Answer:

there are no solutions

Step-by-step explanation:

x^2+2x+2=0

N/A

Answer:

1.2 miles

Step-by-step explanation:

The given triangles are congruent by AAS rule.

Therefore, the correct option is C.

Given is a figure which is divided into two triangles, we need to see if the triangles are congruent or not,

So,

The triangles have one pair of sides equal [shown].

The triangles have one pair of angles equal [shown].

Now the "hidden" pair of angles that are equal are the angles which are equal by vertically opposite angle postulate, [where the triangles meet].

In AAS congruency theorem, the triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.

Therefore, we can say that the triangles are congruent by AAS congruency rule.

Therefore, the correct option is C.

Learn more about congruent triangles click;

https://brainly.com/question/29116501

#SPJ2

Answer:

An equation of the line that passes through point a and b, is y = 2x + 5.

.

Step-by-step explanation:

☆To find the slope, you can follow the slope formula: [tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

☆Plug in!

[tex]m = \frac{ - 1 - 7}{ - 3 - 1} = \frac{ - 8}{ - 4} = 2[/tex]

☆This is the slope-intercept equation:

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

☆You have to plug in and solve for b, aka the y-intercept. Plug in the slope and the one set of coordinates.

[tex]y = mx + b \\ \\ 7 = 2(1) + b \\ 7 = 2 + b \\ \frac{ - 2 = - 2 \: \: \: \: \: \: \: \: \: \: \: }{5 = b \: \: \: \: \: \: \: \: \: \: } [/tex]

☆Now that we have the slope and y-intercept. We just need to put them together.

☆y = 2x + 5

Answer: $1.30

Step-by-step explanation:

Divide 10.40 by 8

Answer:

$1.30

Step-by-step explanation: Give me ur sn ap

Answer:

[tex]20\:\mathrm{sheep}[/tex]

Step-by-step explanation:

We can write the following system of equations:

[tex]\begin{cases}2c+4s=140,\\c+s=50\end{cases}[/tex], where [tex]c[/tex] is the number of chickens and [tex]s[/tex] is the number of sheep.

Multiply the second equation by [tex]-2[/tex] and add both equations to solve for [tex]s[/tex]:

[tex]\begin{cases}2c+4s=140,\\-2c-2s=-100 \end{cases},\\2s=40,\\s=\fbox{$20$}[/tex].

Answer:

x= -15/2 y=-33/2

Step-by-step explanation:

i dont know how you want to solve it but if it is "system of equations" then first solve for the first variable in on e of the equations, then substitute the result into the other equation.

Answer:

(x+4)^2-5

Step-by-step explanation:

To solve this we first need to shift the graph to the left 4 spots

We do this by adding 4 so we get

(x+4)^2

We then need the graph to go down 5 spots so we subtract by 5

This gives us

(x+4)^2-5

Answer:

Step-by-step explanation:

Third one

Answer:

CD=66

Step-by-step explanation:

12x-30=6x+18

6x=48

x=8

12(8)-30=66

CD=66

Answer: check the photo

Step-by-step explanation: im taking the test rn

Answer:

1 time

Step-by-step explanation:

You can see the graph I've attached below.

They both meet just once at (-1, -2).

Answer:

it's answer is C 48 hours

Answer:

y-3=0 (x+6)

Step-by-step explanation:

Hope im right :)

Answer:

for 0.5 pounds size, we have 7.5

for 0.25 pounds size, we have 15

Step-by-step explanation:

Here, we want to calculate the number of each hamburger size that could be made

for 0.5 pounds size, we have that;

3.75/0.5 = 7.5

for 0.25 pounds, we have;

3.75/0.25 = 15

Answer:

its c

Step-by-step explanation:

Answer:

i think its b

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

because if N = 6, then you will have to substitute the n to n and then do the order of operation. first it will be 6+3=9 and then 9*5=45. then you will do 7*6=42 and then subtract 45-42=3

Answer:

3

Step-by-step explanation:

Okay, since we know what n equals to, all we have to do is insert 6 where n was:

[tex]5(6+3)-7(6)[/tex]

Now we just need to simplify, so:

[tex]30 + 15 - 42[/tex]

[tex]45-42[/tex]

And we get our answer

[tex]= 3[/tex]