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mr_godi [17]
4 years ago
5

Steve said it does not matter which term is first and which term is second in a ratio, since ratios are different than fractions

. Is he correct? Explain why or why not.
Mathematics
1 answer:
marishachu [46]4 years ago
8 0

Ratio is a comparison of two values or two quantities.

Fraction is a another form of ratio.

The first term and the second term in the ratios are important.

It should not be changed.

The first quantity value is in first term and the second quantity value is in second term of the ratio.

Ratio and fractions are same.

Example:

The ratio of male to female in the school is 5 : 6.

5 represents male students and 6 represents female students.

The fraction form of the above ratio is \frac{5}{6} .

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Penelope determined the solutions of the quadratic function by completing the square. F(x) = 4x2 8x 1 –1 = 4x2 8x –1 = 4(x2 2x)
Ymorist [56]

By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.

<h3>What is quadratic equation ?</h3>

Any equation of the form ax^2+bx+c=0 where x is variable and a, b, and c are any real numbers where a ≠ 0 is called quadratic equation .

Given work of Penelope is

$$\begin{aligned}&f(x)=4 x^{2}+8 x+1 \\&-1=4 x^{2}+8 x \\&-1=4\left(x^{2}+2 x\right) \\&-1+1=4\left(x^{2}+2 x+1\right) \\&0=4(x+2)^{2} \\&0=(x+2)^{2} \\&0=x+2 \\&-2=x\end{aligned}$$

Now we can see that Penelope determined the solutions of the quadratic function by completing the square. so he must have been done as following

$$\begin{aligned}&f(x)=4 x^{2}+8 x+1 \\&-1=4 x^{2}+8 x \\&-1=4\left(x^{2}+2 x\right) \\&-1+4=4\left(x^{2}+2 x+1\right) \\&3=4(x+2)^{2} \\&\frac{3}{4} =x+2)^{2} \\&\frac{\pm\sqrt3}{2} =x+2 \\&\frac{-2\pm\sqrt3}{2} =x\end{aligned}$$

By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.

To learn more about quadratic equations visit : brainly.com/question/1214333

8 0
2 years ago
ILL GIVE BRAINLEST:))
MrRissso [65]

Answer:

B. The ratio of the area of the scale drawing to the area of the painting is 1:16

C. The ratio of the perimeter of the scale drawing to the perimeter of the painting is 1:4

Step-by-step explanation:

The ratio of the area of similar figures/shapes = the square of the ratio of any of their side lengths

Since the scale drawing of the rectangular painting and the actual rectangular painting are similar, therefore,

The ratio of the area of the scale drawing to the painting = 1²:4²

= 1:16

Also, comparing the ratio of the perimeter of the scale drawing to the perimeter of the painting will be the same as the scale factor = 1:4

5 0
3 years ago
One day, Pam drove 102 miles in 1 1/2 hours. Jake drove 54 miles in 3/4 hour. Who drove at a faster rate?
8090 [49]

Answer:

make the answwer a decimal

Step-by-step explanation:

the fraction need to be a decimal

8 0
3 years ago
Choose the inequality below that x=0 is a solution to.
krok68 [10]

remember: a filled dot means it includes that point and an empty dot means it doesn't


A. has empty dot at 0 so x=0 is not incuded in the solution

B. has filled dot at x=0 so x=0 is a solution

C. has empty dot at 0 so x=0 is not incuded in the solution

D. the line doesn't even go over x=0 so not a solution


answer is B

8 0
4 years ago
Allen opens a retirement savings account with an initial deposit of $5,000. He makes annual contributions to the account, and at
Lera25 [3.4K]

Answer:

He gained 3,650 dollars over 5 years of saving his retirement money

Step-by-step explanation:

Just subtract 5,00 from 8,000 and u get 3,000 so then just add 650 to the 3,000 and thats your answer 3,650!!

3 0
4 years ago
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