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Zielflug [23.3K]
3 years ago
15

Solve by completing the square 4x^2-30=12+10x

Mathematics
1 answer:
natali 33 [55]3 years ago
5 0
16x - 30 = 12 + 10

6x = 42

x = 7
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How many solutions does this have? 2x = 2x - 9<br> A. No<br> B. One<br> C. Two<br> D. Infinity
Andru [333]

Answer:

A. No solutions

Step-by-step explanation:

2x-2x=-9

0= -9

Since 0 does not equal -9, there are no solutions.

8 0
4 years ago
Read 2 more answers
Find the quadratic function y=​f(x) whose graph has a vertex ​(−3​,4​) and passes through the point ​(−7​,0). Write the function
olganol [36]

Answer:

Step-by-step explanation:

This is a parabola since a quadratic is a parabola.  The standard form for a parabola is y = ax² + bx + c

but before we do that, we will use the vertex form, since it will make our work easier at the beginning.  

First and foremost, when we plot the vertex and the given point, the vertex is higher up than is the point; that means that this parabola opens upside down, and its vertex form will be

y=-|a|(x - h)² + k

The absolute value is out in front of the a, so we know that the value of a is positive, but the quadratic itself is negative (upside down) and we will find that math takes care of that negative that needs to be out front.  So we need to solve for a by filling in the x, y, h, and k values from the point and the vertex:  x = -7, y = 0, h = -3, k = 4

0 = a(-7 - (-3))² + 4 and

0 = a(-7 + 3)² + 4 and

0 = a(-4)² + 4 and

0 = a(16) + 4 and

0 = 16a + 4 and

-4 = 16a so

a=-\frac{1}{4}

Now that we know a, we can plug it back into the vertex form and then put it into standard form from there.

y=-\frac{1}{4}(x+3)^2+4

Now we will FOIL out what's inside the parenthesis to get

y=-\frac{1}{4}(x^2+6x+9)+4

Simplify by distributing the -1/4 into the parenthesis:

y=-\frac{1}{4}x^2-\frac{3}{2}x-\frac{9}{4}+4

Combine like terms to get

y=-\frac{1}{4}x^2-\frac{3}{2}x+\frac{7}{4}

And there you go!

5 0
3 years ago
While mining, John found a large metal bar that contained 15 pounds of zinc. John also determined that the bar was 60% zinc. Wha
finlep [7]

Answer:

The total weight of the metal bar in pounds is 25 pounds

Step-by-step explanation:

Now, we have a metal bar which has a content of 60% zinc corresponding to 15 pounds.

Mathematically, let’s say the total weight of the metal composite is x pounds. It is 60% of this that is 15 pounds which is the content of the zinc

Mathematically;

60/100 * x = 15

60x = 15 * 100

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x = 1500/60

x = 25 pounds

4 0
3 years ago
Plz help 100 points
tekilochka [14]

Answer:

the answer is one line is increased by 1, and the other increased by 6

hope this helped :))

4 0
3 years ago
Read 2 more answers
Please Help Me I Need Finish This Tonight
vladimir2022 [97]
1) a- rectangle
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5 0
3 years ago
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