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nata0808 [166]
3 years ago
8

32 + (6 − 2) ⋅ 4 − 6 over 3

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
6 0
32+(6-2)4-6/3 
6-2=4
4*4=16
16/3=5.3
5.3+32=37.3
37.3-6=31.3

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According to wildlife experts, the rate at which crickets chirp per minute is a function of the temperature in degrees Fahrenhei
ozzi

Answer:

Step-by-step explanation:

We will let the x coordinates be the temp and the y coordinates by the number of chirps. Our coordinates then will look like this:

(60, 84) and (85, 184). If this is linear, then first we will find the slope of the line which will tell us, in the context of this problem, how many chirps a cricket gives per 1 degree of temp increase.

The slope formula is:

m=\frac{y_2-y_1}{x_2-x_1} and filling in our numbers:

m=\frac{184-84}{85-60}=\frac{100}{25}= 4

This means that for every 1 degree temp increase, a cricket will give 4 chirps. That's the m value in y = mx + b. Now we will pick one of the coordinates, doesn't matter which one, and use those x and y values in the point-slope form of a line to get the equation. I will choose (60, 85), just because. Using the other point will give you the exact same line equation, I PROMISE!

Using 85 as y1 and 60 as x1 in

y - y1 = m(x - x1) gives us

y - 85 = 4(x - 60) and

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y = 4x - 240 + 85 and

y = 4x - 155

5 0
3 years ago
4) Solve the inequality: -10m>70
dlinn [17]

Answer:

m:-7.1 or greater

Step-by-step explanation:

Given function:

  • -10m>70

negative+negative=positive...

<u><em>Find what is greater than 70 would be the correct match for m:</em></u>

  1. -10·-8=80
  2. -10·-9=90
  3. -10·-10=100
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3 0
3 years ago
Consider the sequence of numbers: 3/8, 3/4, 1 /18, 1 1/2, 1 7/8
vredina [299]

Question:

Consider the sequence of numbers: \frac{3}{8}, \frac{3}{4}, 1\frac{1}{8}, 1\frac{1}{2}, 1\frac{7}{8}

Which statement is a description of the sequence?

(A) The sequence is recursive, where each term is 1/4 greater than its preceding term.

(B) The sequence is recursive and can be represented by the function

f(n + 1) = f(n) + 3/8 .

(C) The sequence is arithmetic, where each pair of terms has a constant difference of 3/4 .

(D) The sequence is arithmetic and can be represented by the function

f(n + 1) = f(n)3/8.

Answer:

Option B:

The sequence is recursive and can be represented by the function

f(n + 1) = f(n) + \frac{3}{8}  .

Explanation:

A sequence of numbers are

\frac{3}{8}, \frac{3}{4}, 1\frac{1}{8}, 1\frac{1}{2}, 1\frac{7}{8}

Let us first change mixed fraction into improper fraction.

\frac{3}{8}, \frac{3}{4}, \frac{9}{8}, \frac{3}{2}, \frac{15}{8}

To find the pattern of the sequence.

To find the common difference between the sequence of numbers.

\frac{3}{4}-\frac{3}{8}=\frac{6}{8}-\frac{3}{8}= \frac{3}{8}

\frac{9}{8}-\frac{3}{4}=\frac{9}{8}-\frac{6}{8}= \frac{3}{8}

\frac{3}{2}-\frac{9}{8}=\frac{12}{8}-\frac{9}{8}= \frac{3}{8}

\frac{15}{8}-\frac{3}{2}=\frac{15}{8}-\frac{12}{8}= \frac{3}{8}

Therefore, the common difference of the sequence is 3.

That means each term is obtained by adding \frac{3}{8} to the previous term.

Hence, the sequence is recursive and can be represented by the function f(n + 1) = f(n) + \frac{3}{8}  .

3 0
3 years ago
What are the x-intercepts of the graph of the equation above?
VLD [36.1K]

Answer:

B. (-3, 0) and (-6,0)

Step-by-step explanation:

x intercept when y = 0

so x^2 + 9x + 18 = 0

Factor

(x + 6)(x + 3) = 0

x+6 = 0; x = -6

x+3 = 0; x = -3

Answer

B. (-3, 0) and (-6,0)

3 0
3 years ago
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