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Fudgin [204]
2 years ago
9

Simpify this expresion 7+5h+2h+7h2–2h2

Mathematics
1 answer:
yarga [219]2 years ago
6 0

Answer:

5h^2 + 7h + 7

Step-by-step explanation:

We can simplify this expression by combining like terms.

To combine like terms, we are looking for terms that share the same variable and exponent.

First, we can see that the terms 7h^2 and -2h^2 share the same variable (h) and the same exponent (2).

7 - 2 = 5

This simplifies to 5h^2.

Next, we can see that 5h and 2h share the same variable (h) and the same exponent (1) so we can add these.

5+2=7

This simplifies to 7h.

Lastly, we can see that we just have 7, no more terms with the same variable (none). So this is 7.

Adding up all the terms in standard form (ax^2 + bx + c), we get 5h^2 + 7h + 7.

Hope this helped!

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300 miles is equal to how many yards
= 528000

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3 years ago
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Diane needs 165 pieces of candy to hand out to guests at a party she is hosting. Each bag of candy contains 20 pieces. She has 2
Debora [2.8K]
20x + 25 = 165

x represents the number of bags. You can solve the equation to make sure the answer is 7.

20x + 25 = 165

Subtract 25 from both sides.

20x = 140

Divide 20 off of both sides.

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5 0
3 years ago
Please help me and others that will stumble on this problem.
lutik1710 [3]

Answer:

A (0,0)

Step-by-step explanation:

When a function intersects the y-axis then the point of intersection is called y-intercept of the function,

Also, for y-intercept x = 0.

That is, if f(x) is the function then its y-intercept is (0, f(0) )

By the given table for x = 0, f(x) = 0

Hence, the y-intercept of the given function is (0,0),

Option A is correct.

5 0
2 years ago
A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 5 − x 2 . What are the dimensions
kherson [118]

Answer:

A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola

y=5−x^2. What are the dimensions of such a rectangle with the greatest possible area?

Width =

Height =

Width =√10 and Height = \frac{10}{4}

Step-by-step explanation:

Let the coordinates of the vertices of the rectangle which lie on the given parabola y = 5 - x² ........ (1)

are (h,k) and (-h,k).

Hence, the area of the rectangle will be (h + h) × k

Therefore, A = h²k ..... (2).

Now, from equation (1) we can write k = 5 - h² ....... (3)

So, from equation (2), we can write

A =h^{2} [5-h^{2} ]=5h^{2} -h^{4}

For, A to be greatest ,

\frac{dA}{dh} =0 = 10h-4h^{3}

⇒ h[10-4h^{2} ]=0

⇒ h^{2} =\frac{10}{4} {Since, h≠ 0}

⇒ h = ±\frac{\sqrt{10} }{2}

Therefore, from equation (3), k = 5 - h²

⇒ k=5-\frac{10}{4} =\frac{10}{4}

Hence,

Width = 2h =√10 and

Height = k =\frac{10}{4}.

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