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Alina [70]
3 years ago
11

Which function has a greater y-value if x=2 Blue Red S

Mathematics
1 answer:
-Dominant- [34]3 years ago
8 0
Red has a greater value.
Blue = -2
Red = 3
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Rewrite the quadratic function in vertex form.<br> Y=2x^2+4x-1
Fantom [35]

Answer:

\large\boxed{y=2(x+1)^2-3}

Step-by-step explanation:

The vertex form of an equation of a parabola:

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

(h, k) - vertex

We have

y=2x^2+4x-1=2\left(x^2+2x-\dfrac{1}{2}\right)

We must use the formula: (a+b)^2=a^2+2ab+b^2\qquad(*)

2\left(x^2+2(x)(1)-\dfrac{1}{2}\right)=2\bigg(\underbrace{x^2+2(x)(1)+1^2}_{(*)}-1^2-\dfrac{1}{2}\bigg)\\\\=2\left((x+1)^2-1-\dfrac{1}{2}\right)=2\left((x+1)^2-\dfrac{3}{2}\right)

Use the distributive formula a(b + c) = ab + ac

2(x+1)^2+2\left(-\dfrac{3}{2}\right)=2(x+1)^2-3

5 0
3 years ago
In rectangle KLMN, KM = 10x+24 and KN = 64 find x
pishuonlain [190]
Hi there, I don't know if I am right but I will try to solve this, 10x+24=64, subtract 24 from both sides, 10x+24-24=64-24=10x=40, divide both sides by 10, 10x/10=40/10, x=4
7 0
3 years ago
Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest
Scorpion4ik [409]

Answer:

P(even) is 1/2.

Step-by-step explanation:

To get the probability of even numbers, you divide the amount of even numbers by the total amount of numbers. You should get 2 (amount of even numbers) /4 (total amount of numbers.) This simplifies to 1/2. I hope this helps and that you have a marvelous day!! Stay safe!!

3 0
3 years ago
A Furniture sales person sells a couch for $1560. She was it a 2.75% commission on the sale of the couch. How much did you earn
Step2247 [10]

The salesperson will receive $42.90. You find this solution by multiplying the decimal form of the percentage (move the decimal point 2 to the left) by 1560.

0.0275 x 1560 = 42.9

Hope this helps! <3


8 0
3 years ago
What function equation is represented by the graph?
Ahat [919]

In the given graph, lets mark two points:

Let A = (0,-3) and B = (4,-2)

The slope of the line is given by:

m = \frac{(-2)-(-3)}{(4)-(0)}

m = \frac{-2+3}{4}

m = \frac{1}{4}

The equation of the line is given by:

(y-y_1)=m(x-x_1)

(y-(-3))=(\frac{1}{4})(x-0)

4(y+3)=x

4y+12=x

4y=x-12

y= \frac{1}{4}x-3

Therefore, the function equation represented by the graph is: f(x)= \frac{1}{4}x-3

5 0
3 years ago
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