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3 years ago

60 points

Mathematics

2 answers:

Nady [450]3 years ago

7 0

Answer:

B. The slope is –10, and the y-intercept is 1.

Step-by-step explanation:

Our equation is y = -10x + 1. Notice that this is of the form y = mx + b, which is called the slope-intercept form because it literally gives us the slope and y-intercept in the equation:

- m: this is the slope value

- b: this is the y-intercept

Here, m = -10, which means the slope is -10. Also, b = 1, so the y-intercept is 1.

Thus, the answer is B.

tigry1 [53]3 years ago

3 0

Answer:

2. the slope is -10 and y-intercept is 1

Step-by-step explanation:

hope this helps!

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Plzz help <br><br>find value of following : 2sin75°.cos15°

polet [3.4K]

Answer:

$\frac{2+\sqrt{3} }{2}$

Step-by-step explanation:

Using the product to sum formula

sinxcosy = $\frac{1}{2}$ [ sin(x + y) + sin(x - y) ] , then

2sinxcosy = sin(x + y) + sin(x - y)

Given

2sin75°cos15° ← with x = 75 and y = 15 , then

= sin(75 + 15) + sin(75 - 15)

= sin90° + sin60°

= 1 + $\frac{\sqrt{3} }{2}$

= $\frac{2+\sqrt{3} }{2}$

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3 years ago

which expression shows the prime factorization of 40? 2 × 2 × 5 2 × 2 × 5 2 × 2 × 2 × 5 2 × 2 × 2 × 5 2 × 5 × 5 2 × 5 × 5 2 × 5

BlackZzzverrR [31]

The expression 2×2×2×5 shows the prime factorization of 40.

Prime factorization:

The number 40 is equal to

2 x 2 x 2 x 5, or = 40

23 x 5. = 40

<h3>What does prime factorization serve as?</h3>

In mental arithmetic, fractions, finding square roots, and computing the HCF and LCM of two smaller numbers, prime factorization is a highly helpful tool when working with whole numbers. A whole number higher than 1 whose only elements are 1 and itself is referred to as a prime number. A whole number that may be split evenly into another number is referred to as a factor.

To learn more about Prime factorization, visit

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2 years ago

A cable company charges a monthly fee for cable service plus an additional $3 for each premium channel. This is given by the fun

Sliva [168]

12+24.5=36.5 Because George A 4 premium channels and each premium channel is $3. So 4 multiplied by 3 is 12.

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3 years ago

You are shopping for disposable camera, to hand out at a party. the daytime camera costs $2.75 and the flash camera costs $4.25.

Svetach [21]

The solutions that involve whole numbers of cameras are (7, 13), (8, 12), (9, 11), (10, 10), (11, 9), (12, 8) and (13, 7)

<h3>Write and solve a compound inequality for this solution.</h3>

The given parameters are:

Daytime cameras = $2.75
Flash camera = $4.25
Number of cameras = 20 cameras
Amount spent = Between $65 and $75

Represent the daytime camera with x and the flash camera with y.

So, we have:

x + y = 20

65 <=2.75x + 4.25y <= 75

Make y the subject in x + y = 20

y = 20 - x

Substitute y = 20 - x in 65 <=2.75x + 4.25y <= 75

65 <=2.75x + 4.25(20 - x) <= 75

Expand

65 <=2.75x + 85 - 4.25x <= 75

This gives

65 <=-1.5x+ 85 <= 75

Subtract 85 from the inequality

-20 <=-1.5x <= -10

Split the inequality

-1.5x >= -20 and -1.5x <= -10

Divide by -1.5

x <= 13.33 and x >= 6.67

Combine the inequality

6.67 <= x <= 13.33

<h3>List all of the solutions that involve whole numbers of cameras.</h3>

In (a), we have:

6.67 <= x <= 13.33

This means that:

x = 7, 8, 9, 10, 11, 12, 13

Recall that:

y = 20 - x

So, we have:

y = 13, 12, 11, 10, 9, 8, 7

So, the solutions that involve whole numbers of cameras are (7, 13), (8, 12), (9, 11), (10, 10), (11, 9), (12, 8) and (13, 7)