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3 years ago

Question 1

Mathematics

1 answer:

olya-2409 [2.1K]3 years ago

7 0

Answers:

Step-by-step explanation:

To solve this, we plug in the given values for x, 1, 2, and 3.

<h2>Scenario 1. What is y when x is 1?</h2>

y = 3x + 4

y = 3(1) + 4

y = 3 + 4

y = 7

<h2>Scenario 2: What is y when x is 2?</h2>

y = 3x + 4

y = 3(2) + 4

y = 6 + 4

y = 10

<h2>Scenario 3: What is y when x is 3?</h2>

y = 3x + 4

y = 3(3) + 4

y = 9 + 4

y = 13

Interesting pattern: y appears to be 3 times x

In other words: as x increases by 1, y will increase by 3. The slope of this line is y/x or 3/1 or simply, 3.

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Solve for x Enter the solution from least to greatest (x+6)(-x+1)=0

Sunny_sXe [5.5K]

Answer:

Step-by-step explanation:

x + 6 = 0

x = -6

-x + 1 = 0

-x = -1

x = 1

x = -6, 1

3 0

3 years ago

70% of kids who visit a doctor have a fever, and 40% of kids who visit a doctor have a sore throat. If the probability that a ki

krek1111 [17]

Answer:

52.5%

Step-by-step explanation:

Let A be kids who have a fever, and B be kids who have a sore throat, so

Based on the given information we have

P(A) = 70%, P(B) = 40%, and P(B|A) = 30% (B|A is read as "B given A", which means probability of B happening given that A has already happened)

We are asked to find P(A|B), the probability of a kid having a fever given that we already know he has a sore throat.

Step 1: First find P(A and B), this is the probability of a kid having both a fever and a sore throat. We use the formula

P(B|A) = P(A and B)/P(A)

We have 2 of these values listed above, so we plug them in...

30% = P(A and B)/70%

This give us a value for P(A and B) which equals 21% [multiply both sides by 70% to isolate P(A and B), (30%)(70%) = 21%]

Now we flip the equation to P(A|B), which is

P(A|B) = P(A and B)/P(B)

We have 2 of the values, so we plug them in...

P(A|B) = 21%/40%

This gives us a value of 52.5% (divide 21% by 40%)

6 0

3 years ago

Find the volume of this sphere.<br> Use 3 for T.<br> V~ [?]in3<br> V = Tr3<br> r=4in

timofeeve [1]

Answer:

The answer is 256 $in^{3}$ .

Step-by-step explanation:

To solve for the volume of the sphere, start by using the sphere volume formula, which is V = $\frac{4}{3} \pi r^{3}$ . However, in this formula, 3 will be used instead of ( $\pi$ ).

Next, plug in the information given from the problem, and the formula will look like V = $\frac{4}{3}$ (3) ( $4 in^{3}$ ).

Then, solve the equation, and the answer will be 256 $in^{3}$ .

3 0

3 years ago

A company is creating a box without a top from a piece of cardboard, but cutting out square corners with side length x.

Volgvan

Answer: Choice B) The expression (10-2x)(30-2x)x represents the volume of the box

----------------------------------------------------
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The original width is 10 inches. The width reduces to 10-2x inches after we cut off the top two corners of the rectangle. We can think of it as taking 10 and subtracting off two copies of x like so: 10-x-x = 10-2x

Similarly, the length goes from 30 inches to 30-2x inches. This time we're taking off the top and bottom corners (focus on either side it doesn't matter).

The height of the box is x inches due to this portion being folded up.

Volume of box = (width)*(length)*(height)
Volume of box = (10-2x)(30-2x)x

Note: the units for the answer are in cubic inches which can be written as "in^3" (inches cubed).

6 0

3 years ago

Read 2 more answers

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit

Xelga [282]

Answer:

Answer:

1.) the y intercept is 490 and the slope is -2/3x

2.) First, I would find the point (0,490) and plot a point there. Then I would use our slope -2/3 to figure out what direction and what angle the line goes by counting 2 down and 3 to the right

3.) f(x)= -2/3x+490

The graph represents how many wraps could've been sold for each number of sandwich sales to keep the same profit of $1,470.

4.) graph down below

5.) the profits are the same (slope) but the y intercept is higher then the original graph.

6.) y=-2/3x+300

Step-by-step explanation:

some of these are part of the problem as well.

1.) 2x+3y=1,470

3y=-2x+1,470

-2x+1,470/3

-2/3x + 490

y=-2/3x + 490

the y intercept is 490 and the slope is -2/3x

2.) First, I would find the point (0,490) and plot a point there. Then I would use our slope -2/3 to figure out what direction and what angle the line goes by counting 2 down and 3 to the right

3.) f(x)= -2/3x+490

The graph represents how many wraps could've been sold for each number of sandwich sales to keep the same profit of $1,470.

5.) 2x+3y=1,593

3y=-2x+1,593

y=-2/3x+531

the profits are the same (slope) but the y intercept is higher then the original graph.

6.) (150, 200) (300, 100)

y intercept= 300

m= 100-200/300-150 = -100/150 = -2/3

y=-2/3x+300

this was a question from a while ago but I thought I would answer it anyways, hope its right and hope it helps you! <3

5 0

3 years ago