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monitta
3 years ago
9

50 POINTS!!!

Mathematics
2 answers:
yKpoI14uk [10]3 years ago
6 0
<span>50 POINTS!!!
SHOW YOUR WORK AND ANSWER CORRECTLY OR ELSE A MODERATOR WILL HANDLE YOU!
Let f (x) = −x^2 − 5x + 36. What is the value of f(-3)? 
Show your work. Best answer gets brainliest.</span>
f(x) = -x^2-5x+36\qquad \qquad f(-3),  \\  \\  \\f(-3) = -(-3)^2-5(-3)+36\\  \\f(-3) = -(9)-5(-3)+36\\  \\f(-3) = -9+15+36  \\  \\  \boxed{f(-3) = 42}
Dima020 [189]3 years ago
3 0
Hello,

Your question states:

Let f (x) = −x^2 − 5x + 36. What is the value of f(-3)?

Your answer would be:

42

Your explanation:

3^2-5(-3)+36
9-15+36
6+36
X=42
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The standard form: Ax + By = C


y = 90 - 15x     <em>add 15x to both sides</em>

<h3>15x + y = 90</h3>
8 0
3 years ago
Paul bought a photo frame which measured 10 inches in length and 8 inches in width. Determine the diagonal length of the photo f
Katyanochek1 [597]

Answer:

≈12.8

Step-by-step explanation:

hope this helps

7 0
2 years ago
Read 2 more answers
A department store buys 100 shirts at a cost of ​$700 and sells them at a selling price of ​$10 each. Find the percent markup.
Serjik [45]

Answer:

42.8%

Step-by-step explanation:

Step one:

given data

A department store buys 100 shirts at a cost of ​$700

let us find the cost of 1 shirt

cost of 1 shirt= 700/100= $7 per shirt

The cost price per shirt = $7

We are given that the selling price = $10 per shirt

Step two:

The percent markup can be found as

percent markup= selling-cost price/cost price*100

percent markup= 10-7/10*100

percent markup= 3/7*100

percent markup= 0.428*100

percent markup= 42.8%

7 0
3 years ago
The base of a solid right pyramid is a regular hexagon with a radius of 2x units and an apothem of units. A solid right pyramid
Xelga [282]

Answer:

6 x^2*\sqrt{3}

Step-by-step explanation:

The base of the pyramid we need to study is a hexagon.

Let's look at the attached image of an hexagon to understand how we are going to find the area of this figure.

Notice that an hexagon is the combination of 6 exactly equal equilateral triangles in our case of size "2x" (notice that the "radius" of the hexagon is given as "2x")

Therefore the area of the hexagon is going to be 6 times the area of one of those equilateral triangles.

We know the area of a triangle is the product of its base times its height, divided by 2: \frac{base*height}{2} = \frac{2x*height}{2}

We notice that the triangle's height is exactly what is called the "apothem" of the hexagon (depicted in green in our figure) which measures x\sqrt{3}, so replacing this value in the formula above for the area of one of the triangles:

\frac{2x*height}{2}= \frac{2x*x\sqrt{3} }{2}=x^2\sqrt{3}

Then we multiply this area times 6 to get the total area of the hexagon (6 of these triangles):

Area of hexagon = 6x^2\sqrt{3}

which is the last option given in the list.

5 0
3 years ago
Read 2 more answers
Two events, X and Y, are independent of each other. P(Y)= and P(X and Y)=. What is P(X) written as a decimal? Round to the neare
kirill [66]

Answer:

0.4

Step-by-step explanation:

For independent events,

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solve for P(X) =>

P(X) = (1/3)*(6/5) = 2/5 = 0.4

6 0
4 years ago
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