All categories

2 years ago

J(x) = 2x²+8x-5 What is this in vertex form

Mathematics

1 answer:

pav-90 [236]2 years ago

5 0

Answer:

The vertex form parabola y = 2( x+4)² -37

Step-by-step explanation:

Given parabola equation j(x) = 2x² + 8x -5

Let y = 2x² + 8x -5

⇒ y = 2(x² + 2(4x)+(4)²-(4)²) -5

By using (a + b)² = a² +2ab +b²

y = 2(x+4)²- 32 -5

y = 2 ( x-(-4))² -37

The vertex form parabola y = a( x-h)² +k

The vertex form parabola y = 2(x+4)² -37

You might be interested in

For each right triangle below, find the missing side (Pythagorean’s Theorem) and the missing angle (Angle Sum theorem.)

valkas [14]

Answer:

a=21.2

n=√29

Step-by-step explanation:

$90+68.2+a=180$

$a+158.2=180$

$a=21.2$

$2^2+5^2=n^2$

$4+25=n^2$

$n^2=29$

$n=\sqrt{29}$

3 0

2 years ago

Please help me on this it’s due

olya-2409 [2.1K]

<h3>Answer: 5 cakes</h3>

================================================

Explanation:

Let's start off converting the mixed number 12 & 1/4 to an improper fraction.

$a \frac{b}{c} = \frac{a*c+b}{c}\\\\12 \frac{1}{4} = \frac{12*4+1}{4}\\\\12 \frac{1}{4} = \frac{49}{4}\\\\$

Do the same for the other mixed number 2 & 1/3.

$a \frac{b}{c} = \frac{a*c+b}{c}\\\\2 \frac{1}{3} = \frac{2*3+1}{3}\\\\2 \frac{1}{3} = \frac{7}{3}\\\\$

-----------------------

From here, we divide the two fractions. I converted them to improper fractions to make the division process easier.

$\frac{49}{4} \div \frac{7}{3} = \frac{49}{4} \times \frac{3}{7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{49\times 3}{4\times 7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{7\times 7\times 3}{4\times 7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{7\times 3}{4}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{21}{4}\\\\$

The last step is to convert that result to a mixed number.

$\frac{21}{4} = \frac{4*5+1}{4}\\\\\frac{21}{4} = \frac{4*5}{4}+\frac{1}{4}\\\\\frac{21}{4} = 4+\frac{1}{4}\\\\\frac{21}{4} = 5 \frac{1}{4}\\\\$

Note that 21/4 = 5.25 and 1/4 = 0.25 to help check the answer.

-----------------------

Therefore, she can make 5 cakes. The fractional portion 1/4 is ignored since we're only considering whole cakes rather than partial ones.

3 0

2 years ago

A lion paced up and down the ridge 10 times. The ridge is 5 ft. 3 in. long. How far did the lion travel? (12 in.=1 ft.)

Setler79 [48]

Answer:

105 ft.

Step-by-step explanation:

5 x 12 = 60

So 5 feet is 60 inches.

60 + 3 = 63

That makes the ridge 63 inches long.

When the lion went up the ridge, it traveled 63 inches.

When the lion went back down the ridge, it traveled another 63 inches, totaling 126 inches.

The lion did this 10 times.

126 x 10 = 1260

Divide 1260 by 12 to find the measurement in feet.

1260 ÷ 12 = 105

7 0

2 years ago

The basketball court has an area of 150+175t, with a width of 25. what is the length

Airida [17]

L x w = 150+175t
=> l = (150+175t)/25
l = [25(6+7t)/25]
l = 6+7t
The expression of the length is l=6+7t

3 0

2 years ago

Range,median,mode <br> Will give Brainliest!!^^^^

Goshia [24]

Answer:

Mode 25, median 25, Range 7

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers