Which is best estimate of 90/7 ÷ 1 3/4? 2 6 12 24

Which inequality represents this sentence? Seven plus five is greater than six plus two. A. 7 + 5 ≥ 6 + 2 B. 6 + 2 > 7 + 5 C.

Ainat [17]

The answer would be D

Hope this helps!

5 0

3 years ago

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Rewrite the equation in vertex form. then find the vertex of the graph. y=-3x^2-5x+1

amm1812

Answer: y = -3(x + $\frac{5}{6}$ )² + $\frac{37}{12}$ , $(-\frac{5}{6}$ , $\frac{37}{12})$

Step-by-step explanation:

First, you need to complete the square:

y = -3x² - 5x + 1

-1 -1

y - 1 = -3x² - 5x

y - 1 = -3(x² + $\frac{5}{3}x$

y - 1 + -3( $\frac{25}{36}$ ) = -3(x² + $\frac{5}{3}x$ + $\frac{25}{36}$ )

↑ ↓ ↑

$\frac{5}{3*2}$ = $(\frac{5}{3*2})^{2}$

y - 1 - $\frac{25}{12}$ = -3(x + $\frac{5}{6}$ )²

y - $\frac{12}{12}$ - $\frac{25}{12}$ = -3(x + $\frac{5}{6}$ )²

y - $\frac{37}{12}$ = -3(x + $\frac{5}{6}$ )²

y = -3(x + $\frac{5}{6}$ )² + $\frac{37}{12}$

Now, it is in the form of y = a(x - h)² + k where (h, k) is the vertex

Vertex = $(-\frac{5}{6}$ , $\frac{37}{12})$

8 0

3 years ago

In the theory of learning, the rate at which a subject is memorized is assumed to be proportional to the amount that is left to

babymother [125]

Answer:

dA/dt = k1(M-A) - k2(A)

Step-by-step explanation:

If M denote the total amount of the subject and A is the amount memorized, the amount that is left to be memorized is (M-A)

Then, we can write the sentence "the rate at which a subject is memorized is assumed to be proportional to the amount that is left to be memorized" as:

Rate Memorized = k1(M-A)

Where k1 is the constant of proportionality for the rate at which material is memorized.

At the same way, we can write the sentence: "the rate at which material is forgotten is proportional to the amount memorized" as:

Rate forgotten = k2(A)

Where k2 is the constant of proportionality for the rate at which material is forgotten.

Finally, the differential equation for the amount A(t) is equal to:

dA/dt = Rate Memorized - Rate Forgotten

dA/dt = k1(M-A) - k2(A)

7 0

3 years ago

Helen got a 7% reduction in the price of pair jeans that are normally $32. What is the approximate percent decrease in the price

Colt1911 [192]

A percentage is a way to describe a part of a whole. The approximate percent decrease in the price is 21.87%, thus, the correct option is B.

<h3>What are Percentages?</h3>

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given the reduction in the price is $7, while the original cost is $32. Therefore, the approximate percent decrease in the price is,

Percentage decrease = 7/32 × 100%

= 21.87%

Hence, the approximate percent decrease in the price is 21.87%, thus, the correct option is B.

The correct question is:

Helen got a $7 reduction in the price of a pair of jeans that are normally $32. What is the approximate percent decrease in the price?

The percent decrease is approximately 15%.

The percent decrease is approximately 21%.

The percent decrease is approximately 43%.

The percent decrease is approximately 78%

Learn more about Percentages:

brainly.com/question/6972121

#SPJ1

3 0

2 years ago

Is y = -70x + 300 a negative or positive slope

Tom [10]

Answer: the slope is negative

Step-by-step explanation:

I graphed it and the slope is negative

3 0

3 years ago

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