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valentinak56 [21]
3 years ago
7

%7B2%7D%20-%207%20%7By%7D%5E%7B2%7D%29%20%20" id="TexFormula1" title="(5 {x }^{2} + 2 {y}^{2} ) \times (3 {x}^{2} - 7 {y}^{2}) " alt="(5 {x }^{2} + 2 {y}^{2} ) \times (3 {x}^{2} - 7 {y}^{2}) " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
andrew-mc [135]3 years ago
3 0

Answer:

15x^4 - 29x^2y^2 - 14y^4.

Step-by-step explanation:

(5x^2 + 2y^2) * (3x^2 - 7y^2)

= 15x^4 + 6x^2y^2 - 35x^2y^2 - 14y^4

= 15x^4 - 29x^2y^2 - 14y^4

= 15x^4 - 29x^2y^2 - 14y^4

Hope this helps!

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What is 3/5 + 1/2? As in fractions, I can’t figure it out!! :(
ella [17]

Step-by-step explanation:

\frac{3}{5}  +  \frac{1}{2}  \\  \\  =  \frac{3 \times 2 + 1 \times 5}{5 \times 2}  \\  \\  =  \frac{6 + 5}{10}  \\  \\  =  \frac{11}{10}  \\  \\  = 1 \frac{1}{10}

5 0
3 years ago
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A bus travels 36 miles in 45 minutes. Enter the number of miles the bus travels in 60 minutes at this rate.
kompoz [17]

Answer:

The answer would be 48 miles in 60 minutes. I hope that helps!

Step-by-step explanation:

36 x 60 = 2160

45n = 2160

n = 48

8 0
3 years ago
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The vertex of the parabola below is at the point (2, 4), and the point (3, 6) is on the parabola. what is the equation of the pa
Paraphin [41]

Given:

Vertex ===> (h, k) (2, 4)

The parabola passes through the point: (x, y) ==> (3, 6)

Let's find the equation of a parabola.

To find the equation, use the general equation of a parabola with vertex (h, k):

y=a(x-h)^2+k_{}

Where:

(h, k) ==> (2, 4)

(x, y) ==> (3, 6)

Substitute values into the general equation:

\begin{gathered} 6=a(3-2)^2+4 \\  \\ 6=a(1)^2+4 \\  \\ 6=a+4 \end{gathered}

Subtract 4 from both sides:

\begin{gathered} 6-4=a+4-4 \\  \\ 2=a \\  \\ a=2 \end{gathered}

Substitute 2 for a, and input the values of the vertex (h, k) in the general vertex equation:

y=2(x-2)^2+4

Therefore, the equation of the parabola is:

y=2(x-2)^2+4

ANSWER:

y=2(x-2)^2+4

3 0
1 year ago
What is (7/8) * 3 * 4?
Darya [45]

Answer:

10.5

Step-by-step explanation:

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3 years ago
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Jim is working at a restaurant. His first table ordered 4 sodas and 4 baskets of fries for $16.00. His second table ordered 4 so
PtichkaEL [24]

Answer:

the price of each soda is $1.75

Step-by-step explanation:

Notice that there are two unknowns; the price of each soda  (let's assign the letter "s" to it), and the price of the basket of fries 9let's assign the letter "b" to it)

We can then write two equations using the information on the total price for each order:

(a)    4 s + 4 b = 16

(b)   4 s + 3 b = 13.75

we can now subtract term by term equation (b) from equation (a), and obtain:

4 s - 4 s + 4 b - 3 b =  16 - 13.75

0 + b = 2.25

So now that we know the price of each basket of fries ($ 2.25) , we can use that info in either equation and solve for "s". Let's use equation (a) for example:

4 s + 4 (2.25) = 16

4 s + 9 = 16

4 s = 16 - 9

4 s = 7

s = 7/4

s = 1.75

So, the price of each soda is $1.75

5 0
4 years ago
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