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Alexandra [31]
4 years ago
12

Simplify: –3y 2x – 10y – 5x 2y a. –11y – 3x b. –15y 3x c. –15y – 3x d. –11y 7x

Mathematics
1 answer:
hoa [83]4 years ago
5 0
The answer is A.<span>–11y – 3x</span>
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One half of the sum of 7 and k
igomit [66]
The answer could be (7+k)÷2
4 0
3 years ago
Write an equation for a quadratic function that has x intercepts (-3, 0) and (5, 0)
Blizzard [7]

Answer:

One possible equation is f(x) = (x + 3)\, (x - 5), which is equivalent to f(x) = x^{2} - 2\, x - 15.

Step-by-step explanation:

The factor theorem states that if x = x_{0}  (where x_{0} is a constant) is a root of a function, (x - x_{0}) would be a factor of that function.

The question states that (-3,\, 0) and (5,\, 0) are x-intercepts of this function. In other words, x = -3 and x = 5 would both set the value of this quadratic function to 0. Thus, x = -3\! and x = 5\! would be two roots of this function.

By the factor theorem, (x - (-3)) and (x - 5) would be two factors of this function.

Because the function in this question is quadratic, (x - (-3)) and (x - 5) would be the only two factors of this function. In other words, for some constant a (a \ne 0):

f(x) = a\, (x - (-3))\, (x - 5).

Simplify to obtain:

f(x) = a\, (x + 3)\, (x - 5).

Expand this expression to obtain:

f(x) = a\, (x^{2} - 2\, x - 15).

(Quadratic functions are polynomials of degree two. If this function has any factor other than (x - (-3)) and (x - 5), expanding the expression would give a polynomial of degree at least three- not quadratic.)

Every non-zero value of a corresponds to a distinct quadratic function with x-intercepts (-3,\, 0) and (5,\, 0). For example, with a = 1:

f(x) = (x + 3)\, (x - 5), or equivalently,

f(x) = x^{2} - 2\, x - 15.

6 0
2 years ago
A smoothie recipe calls for 13 cup yogurt for each smoothie. How many cups of yogurt are needed to make 7 smoothies?
Sauron [17]
You could also say.
13 x
--- = ---
1 7
Multiply across.
1x=13×7
1x =91
Divide both sides by one.
x=91.
91 cups of yoygurt are needed to make 7 Smoothies.
Or you could do it the easy way.
whatever makes you happy. :)
3 0
3 years ago
Read 2 more answers
Use the following equation y = 3x + 15 to solve for y when x = 3.
Ede4ka [16]
Y = 3(3) +15

y = 9 + 15

y= 24
5 0
3 years ago
Read 2 more answers
Can some one help me
Murljashka [212]
The amswer would be 8.5 due to the length of the obeject
7 0
3 years ago
Read 2 more answers
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