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Triss [41]
3 years ago
5

Which value, when placed in the box, would result in a system of equations with infinitly many solutions? Y=2x - 5 2y-4x=

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
6 0

Given:

The system of equations is

y=2x-5

2y-4x=?

To find:

The missing value for which the given system of equations have infinitely many solutions.

Solution:

Let the missing value be k.

We have,

y=2x-5

2y-4x=k

Taking all the terms on the left side, the given equations can be rewritten as

-2x+y+5=0

-4x+2y-k=0

The system of equations a_1x+b_1y+c_1=0 and a_2x+b_2y+c_2=0 have infinitely many solutions if

\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}

We have,

a_1=-2,b_1=1,c_1=5

a_2=-4,b_2=2,c_2=-k

Now,

\dfrac{-2}{-4}=\dfrac{1}{2}=\dfrac{5}{-k}

\dfrac{1}{2}=\dfrac{1}{2}=\dfrac{5}{-k}

\dfrac{1}{2}=\dfrac{5}{-k}

On cross multiplication, we get

-k=10

k=-10

Therefore, the missing value is -10.

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The vertex of this parabola is at (2, -4). When the y-value is -3, the x-value is -3. What is the coefficient of the squared ter
lyudmila [28]

Answer:

The squared term is 1/25

Step-by-step explanation:

The parabola equation in the vertex form is

y = a \times (x - h)^2 + k

where point (h,k) is the vertex and a is the squared term. In this case h = 2 and k = -4. On the other hand, we know that y = -3 and x = -3 are in the parabola. Replacing these values in the formula gives

-3 = a \times (-3 - 2)^2 - 4

Solving for a

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1 = a \times 25

a = \frac{1}{25}

6 0
3 years ago
PLEASE, I NEED HELP! I will not accept nonsense answers, but I will give the person a BRAINLIEST if you get it correct.
alex41 [277]

Answer:  The last choice is correct. Edna can score 5 times as many points in the next level as in the level she has reached

Step-by-step explanation:    chart of values  for y= 5^{x}  

x is the level   y, points possible)

x    y

1     5

2   25

3   125

4    625

5    3125

You can see the exponential pattern

For what it's worth, two views of the graph of the equation are attached

The point values are astronomical!

6 0
3 years ago
Find the area of this circle. Use 3 for a.A = 7r2=11 in[?] in?
liberstina [14]

SOLUTION

We want to find the area of the circle in the picture given.

We have been given the formula as

\begin{gathered} A=\pi r^2 \\ We\text{ are told to take }\pi\text{ as 3} \\  \end{gathered}

From the circle, the radius r = 11 in.

The area of the circle becomes

\begin{gathered} A=\pi r^2 \\ A=\pi\times r^2 \\ A=3\times11^2 \\ A=3\times11\times11 \\ A=363in^2 \end{gathered}

Hence the answer is 363 square-inches

7 0
11 months ago
Annette is stacking boxes in her closet. There are 15 boxes in all. If each box weighs 7.5 pounds, how much do the boxes weigh a
Phantasy [73]
It should be 112.5 pounds because if there are 15 boxes and each box weighs 7.5 pounds, 15 x 7.5 = 112.5
5 0
2 years ago
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How much is 3 x4x5x6x7x9
Xelga [282]
3x4=12 12x5=60 60x6=360 360x7=2,530 2,530x9=22,690
4 0
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