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Daniel [21]
3 years ago
9

Livia eats a chicken drumstick with 11 grams of protein. She also eats x cheese sticks, each with 7 grams of protein. The table

shows y , the total number of grams of protein that Livia will consume if she eats x cheese sticks.
What is the range of the function?
A. all real numbers
B. all real numbers greater than or equal to 0
C. all real numbers greater than or equal to 11
D. all integers greater than or equal to 11

Mathematics
1 answer:
Ulleksa [173]3 years ago
3 0

Answer:

The correct option is: all real numbers greater than or equal to 11

Step-by-step explanation:

We have given:

Livia eats a chicken drumstick with 11 grams of protein. She also eats x cheese sticks, each with 7 grams of protein

If y shows total number of grams of protein then we can write an equation like this:

y=11+7x

where x is a real number greater than equal to zero.

x>=0;

7x ≥ 0

11 + 7x ≥ 11  

y ≥ 11

Therefore the correct option is C...

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◆ Quadratic Equations ◆<br>Please help !
Mila [183]
I'm sure there's an easier way of solving it than the way I did, but I'm not sure what it could be. Never dealt with a problem like this before.

Anyway, I just plugged in and tested. Chose random values for a, b, c, and d, which follow the rule 0 < a < b < c < d:

a = 1
b = 2
c = 3
d = 4

\sf ax^2+(1-a(b+c))x+abc-d)

\sf 1x^2+(1-1(2+3))x+(1)(2)(3)-(4))

Simplify into standard form:

\sf x^2+(1-1(5))x+6-4

\sf x^2+(1-5)x+2

\sf x^2-4x+2

Use the quadratic formula to solve:

\sf x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

For functions in the form of \sf ax^2+bx+c. So in this case:

a = 1
b = -4
c = 2

Plug them in:

\sf x=\dfrac{4\pm\sqrt{(-4)^2-4(1)(2)}}{2(1)}

Solve for 'x':

\sf x=\dfrac{4\pm\sqrt{16-8}}{2}

\sf x=\dfrac{4\pm\sqrt{8}}{2}

\sf x\approx\dfrac{4\pm 2.83}{2}

\sf x\approx 0.59,3.41

So the answer would be A.
3 0
3 years ago
Leeza is making labels in the shape of parallelograms each label has an area of 18 square centimeters and a base of 6 centimeter
Alenkinab [10]

Answer:

3cm

Step-by-step explanation:

A parallelogram is  quadrilateral that has two pairs of parallel sides. The opposite sides  equal in length

Area of a parallelogram = base x height

18cm² = 6cm x height

height = 18cm² / 6cm = 3cm

5 0
2 years ago
Recall that the sum of the measures of the angles of a triangle is 180°. In the triangle below, angle Chas the same measure as a
Effectus [21]

The measure of each angles a,b and c are 32°, 74°  and 74°  respectively.

What is triangle?
Three edges and three vertices define a triangle as a polygon. One of geometry's fundamental shapes is this one. The symbol for an ΔABC triangle is A, B, and C.
Any three points determine a distinct triangle and a distinct plane in Euclidean geometry when they are non-collinear (i.e. a two-dimensional Euclidean space). To put it another way, each triangle is contained in a plane, and there is only one plane that includes that particular triangle. All triangles are contained in one plane if and only if all geometry is the Euclidean plane, however this is no longer true in higher-dimensional Euclidean spaces. Except as otherwise specified, the subject of this article is triangles in Euclidean geometry, more specifically, the Euclidean plane.

Let angle b be x

Therefore angle c will also be  x [as given b and c are equal] and angle a will be x - 42°.
Now as we know that the sum of the measures of the angles of a triangle is 180° therefore,

x + x + x - 42° = 180°

=> 3x = 222°

=> x = 74°  which is angle b and c

and angle a is (74 - 42)°  =32°  

To learn more about triangles  click on the link below:

brainly.com/question/17335144

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8 0
1 year ago
State the domain of the function.
boyakko [2]
Hi there! The domain of a function refers to the values that can be validly input for x. In laymen's terms, domain is the x-values that exist on a graph of the equation.

If we were to plug in y=-2x+5 into a calculator that shows an infinite graph, we would see that the line of the equation would extend both ways infinitely! This means that all real numbers can be inputs for x, because for every x value that exists there is a corresponding y value.

This means that D. All real numbers, is your answer.

Hope it helps! :)
6 0
3 years ago
I need help please on this math
Zigmanuir [339]

Answer:

a

Step-by-step explanation:

3 0
3 years ago
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