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Vitek1552 [10]
2 years ago
9

Which function has a vertex at the origin?

Mathematics
1 answer:
Rudik [331]2 years ago
5 0

Answer:

f(x)=-x^2

Step-by-step explanation:

Vertex form of a quadratic function:

f(x)=a(x-h)^2+k

where:

  • (h, k) is the vertex
  • a is some constant

If the vertex is at the origin, then (h, k) = (0, 0)

\implies f(x)=a(x-0)^2+0

\implies f(x)=ax^2

Comparing this with the answer options suggests that the function with a vertex at the origin is f(x)=-x^2

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X2 +10x + 21<br> I need to factor the
Ber [7]

Answer:

(x + 7)(x + 3).

Step-by-step explanation:

x^2 +10x + 21

21 = 7 * 3 and 10 = 7 +3

so the factors are

(x + 7)(x + 3).

4 0
3 years ago
2x-10=5x-100 what is the value of x?
Leni [432]

Answer:

Step-by-step explanation: I did a formula to get the answer

2x-10=5x-100

2x=5x-90

I subtracted 100-10 and then got 90

3x=90

3x/3x=90/3

x=30

7 0
3 years ago
Solve this system of linear equations. Separate the x- and y-values with a comma.
vodomira [7]

Answer:

x = \frac{5}{2}, y = \frac{5}{4}

Step-by-step explanation:

1. Isolate for x in one of the equations:

2x = 9x - 14y

2x-9x = 9x-9x -14y

-7x = -14y

-7x/-7 = -14y/-7

x = 2y

2. Substitute 2y in for x in the second equation:

9(2y) = 40 - 14y

3. Simplify:

18y = 40 - 14y

4. Isolate for y:

18y+14y = 40 -14y+14y

32y = 40

32y/32 = 40/32

y = \frac{5}{4}

5. Substitute the new y-value into the simplified expression x = 2y:

x = 2(5/4)

x = \frac{5}{2}

hope this helps!

7 0
2 years ago
Please see answerrrrr
Hitman42 [59]

Answer:

1. 8/35

2. 13/35

Explanation:

You add the numbers in the parentheses first, then you multiply

1. 1/5 + 3/5 = 4/5

4/5 * 2/7 = 8/35

———————————

2. 1/5 + 3/5 * 2/7

You would multiply 3/5 and 2/7 first

1/5 + 6/35

Then you find a common denominator

1/5 = 7/35

Then you add 7/35 and 6/35

7/35 + 6/35 = 13/35

3 0
3 years ago
Read 2 more answers
What percent of 20 is 5?
elena-s [515]

Answer:

25%

Step-by-step explanation:

5 ÷ 20 = 0.25 (multiply by 100 to make a percentage)

0.25 x 100 = 25%

Hope this helped :-)

4 0
2 years ago
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