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Juli2301 [7.4K]
3 years ago
8

How to convert to vertex form

Mathematics
1 answer:
kaheart [24]3 years ago
7 0
<span>The vertex form of a quadratic is given by. y = a(x – h)2 + k, where (h, k) is the vertex. The "a" in the vertex form is the same "a" as. in y = ax2 + bx + c (that is, both a's have exactly the same value). The sign on "a" tells you whether the quadratic opens up or opens down.</span><span>
</span>
You might be interested in
A grapefruit is 8% heavier than an orange, and an apple is 10% lighter than the orange.
likoan [24]
Weight of an grapefruit=weight of an orange+8% weight of an orange
weight of an apple=weight of an orange -10% weight of an orange

a.<span>By what percentage is the grapefruit heavier than the apple?
We should find the connection between grapefruit and an apple. We know the connection between the weight of a grapefruit and an orange, we know the connection between an orange and an apple, so this means we know the connection between a grapefruit and an apple.
</span>
weight of an grapefruit=weight of an <span>orange+8% weight of an orange
</span>weight of an orange=weight of an apple<span> +10% weight of an apple
</span>
-> weight of an grapefruit=weight of an apple+10% weight of an apple + 8%(weight of an apple+10% weight of an apple)= weight of an apple + 18% weight of an apple + 2% weight of an apple= <span>weight of an apple + 20% weight of an apple 

</span><span>b.By what percentage is the apple lighter than the grapefruit?
</span>weight of an grapefruit=weight of an apple + 20% weight of an apple<span> 
</span>
-> The apple ts 20% lighter than the grapefruit.
8 0
3 years ago
Read 2 more answers
What is the solution to sqrt 17-x=x+3? Show your work.
snow_lady [41]

Answer:

x=1

Step-by-step explanation:

Remember:

(\sqrt[n]{a})^n=a\\\\(a+b)=a^2+2ab+b^2

Given the equation \sqrt{17-x}=x+3, you need to solve for the variable "x" to find its value.

You need to square both sides of the equation:

(\sqrt{17-x})^2=(x+3)^2

17-x=(x+3)^2

Simplifying, you get:

17-x=x^2+2(x)(3)+3^2\\\\17-x=x^2+6x+9\\\\x^2+6x+9+x-17=0\\\\x^2+7x-8=0

Factor the quadratic equation. Find two numbers whose sum be 7 and whose product be -8. These are: -1 and 8:

(x-1)(x+8)=0

Then:

x_1=1\\x_2=-8

Let's check if the first solution is correct:

\sqrt{17-(1)}=(1)+3

4=4 (It checks)

Let's check if the second solution is correct:

\sqrt{17-(-8)}=(-8)+3

5\neq-5 (It does not checks)

Therefore, the solution is:

x=1

3 0
3 years ago
Find the length indicated
Contact [7]

Answer:

the answer is b, 12

Step-by-step explanation:

16-4=12

8 0
3 years ago
Solve the quadratic equation by factoring. 9x^2+24x+20=4
const2013 [10]

D. -4/3

Let's solve your equation step-by-step.

9x2+24x+20=4

Step 1: Subtract 4 from both sides.

9x2+24x+20−4=4−4

9x2+24x+16=0

Step 2: Factor left side of equation.

(3x+4)(3x+4)=0

Step 3: Set factors equal to 0.

3x+4=0 or 3x+4=0

x= −4 /3

Hope This helps

5 0
3 years ago
What is the radius of a sphere that has a volume of 17, 157.3 cm³
Nuetrik [128]

Answer:r=25.7897798241708 or 25.8 rounded to the nearest tenth or 25.79 rounded to the nearest hundredth.

Step-by-step explanation:

6 0
3 years ago
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