How does the value of b affect the graph of y=m+b?

Answer:

12

Step-by-step explanation:

8.3 / .7

Multiply each by 10 to get rid of the decimal

83/7

We know that 84/7 =12 so this is close to 12

Answer:

B

Step-by-step explanation:

you can FOIL or set up a box that is 3 x 3 (which is what I recommend) to solve it.

The product of the given polynomials is [tex]16x^4 +16x^3 -12x^2-32x-16[/tex]. The correct option is- B. [tex]16x^4 +16x^3 -12x^2-32x-16[/tex]

From the question, we are to determine the product of the given polynomials

The given polynomials are

(8x^2-4x-8) (2x^2+3x+2)

Their product can be determined as follows

[tex](8x^2-4x-8) (2x^2+3x+2)[/tex]

[tex](8x^2) (2x^2+3x+2)-4x(2x^2+3x+2)-8 (2x^2+3x+2)[/tex]

Clear the brackets

[tex]16x^4 +24x^3+16x^2 -8x^3-12x^2-8x-16x^2-24x-16[/tex]

Now, collect like terms

[tex]16x^4 +24x^3 -8x^3-12x^2+16x^2-16x^2-8x-24x-16[/tex]

Simplifying

[tex]16x^4 +16x^3 -12x^2-32x-16[/tex]

Hence, the product of the given polynomials is [tex]16x^4 +16x^3 -12x^2-32x-16[/tex]. The correct option is- B. [tex]16x^4 +16x^3 -12x^2-32x-16[/tex]

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Answer: If point B is on the same line and the same distance from points A and C,  the location is (-1.5, 4,5)

Step-by-step explanation: For point B to be the same distance from the other two points, it must be halfway between them.

for the x-value, find the number that is halfway between 0 and -3. That is -1.5

For the y-value, find the number that is halfway between 4 and 5. That is 4.5

The coordinate for point B is (-1.5, 4.5)

Answer:

3x - y = - 7

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 3 and (a, b) = (- 2, 1) , thus

y - 1 = 3(x + 2) ← distribute

y - 1 = 3x + 6 ( subtract 6 from both sides )

y  - 7 = 3x ( subtract y from both sides )

- 7 = 3x - y, that is

3x - y = - 7 ← in standard form

Answer:

parabola; (x)^2-2(square root 3) xy+3(y)^2 +16 (square root 3) x+16=0

Step-by-step explanation:

edge’s possible answer 2020

Answer:

The second term becomes the reciprocal and then you multiply the first term by the second term

Answer:

A. second

Step-by-step explanation:

When dividing fractions, we always take the second term and flip that. In other words, we convert the second term into its reciprocal. Remember the phrase "flip the guy, and multiply!" Essentially, the "guy" just refers to the second term.

For example, if we have 1/3 ÷ 2/5, in order to solve this, we flip the second term, which is 2/5 so that it becomes 5/2 and then multiply:

1/3 ÷ 2/5 = 1/3 × 5/2 = 5/6

The answer is thus A.

~ an aesthetics lover

Answer: [tex]10\frac{2}{3}\pi[/tex]

Step-by-step explanation:

Do you really need it? If so, reply, if not, mark brainliest.

Answer:

4/5

Step-by-step explanation:

y = 4/5 x -3

This is written in slope intercept form

y =mx + b where m is the slope and b is the y intercept

the slope is 4/5 and the y intercept is -3

Answer:

Our expressions is f(x) = 3|x-7|-7

Let's calculate the limits in +∞ and -∞

So the right staement is B

As x approaches positive infinity, f(x) approaches negative infinity.

A relation is a function if it has only One y-value for each x-value.

The function f(x) = 3|x − 7| − 7 is a piecewise function, where the absolute value function has two cases depending on the sign of (x - 7).

When (x - 7) is positive, the function becomes 3(x - 7) - 7 = 3x - 28, and when (x - 7) is negative, the function becomes -3(x - 7) - 7 = -3x + 14.

As x approaches positive infinity, both cases approach negative infinity because the dominant term in each case is the linear term (3x or -3x) as x becomes large.

Therefore, the end behavior of the function is that as x approaches positive infinity, f(x) approaches negative infinity.

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Answer:

15 days

Step-by-step explanation:

5 people * 16 days * 6 hrs= 480 hours

8 people * x days * 4 hours= 32x hours

Answer:

12/18 bcz simplyfing 12/18 will give us 2/3

6/9 (divided by 2)

2/3 (divided by 3)

Step-by-step explanation:

Answer:

add the y coordinates of the two lines and divide by 2

Step-by-step explanation:

½[0+(-12)]

½[0-12]

½[-12)

y co-ordinate of the midpoint is -6

Answer:

The final cost is $43.2

Step-by-step explanation:

We have the following equation:

[tex]C=p(1+r)[/tex]

Where C is the final cost, p is the price before tax and r is the tax rate.

So, to calculated the final cost for a $40 item after 8% tax, we need to replace p by 40 and r by 0.08 and calculate the value of C as:

[tex]C=40*(1+0.08)=43.2[/tex]

Therefore, the final cost is $43.2

Answer: $43.20

Step-by-step explanation: The simplest way to do it (my way) is i first used (1 + r), which is (1 + 8%), that gave me 1.08, then I did the total amount, $40x1.08, which equals $43.20. This may not be the right way to do it, but it is the simplest.

Hope this helped :)

Answer:

Factors: 5x, 3x²y⁵   Not Factor: 10x⁴y³

Step-by-step explanation:

5x is a factor because 15x²y⁶= 5x•3xy⁶

3x²y⁵ is a factor because 15x²y⁶ = 3x²y⁵•5y

10x⁴y³ isn't a factor because 15:10=1.5 isn't integer

Answer:

216 cubic inches

Step-by-step explanation:

We want to simplify:

102 * 4 - 3(8 * 8 * 1)

We will apply BODMAS:

Solving the Bracket first:

102 * 4 - 3(64)

102 * 4 - 192

=> 408 - 192

= 216 cubic inches

He will need 216 cubic inches of packing foam.

Answer:

13

Step-by-step explanation:

We have:

8a^2 + 2b^2 = 10

Dividing both sides by 2,

=> 4a^2 + b^2 = 5

or (2a)^2 + b^2 = 5

We also have ab = 2

=> (2a + b)^2

= (2a)^2 + 2(2a)(b) + b^2

= (2a)^2 + b^2 + 4ab

= 5 + 4(2)

= 5 + 8

= 13

Answer:

y = ∛(x+3) + 3

Step-by-step explanation:

I plugged each equation into a graphing calculator.

Answer:

Let

x-------> the width of the patio

we understand that

region of the pool=40*60-----> 2400 ft²

vicinity of the patio=[(40+2x)*(60+2x)]-2400

place of the patio=2400 ft²

so

[(40+2x)*(60+2x)]-2400=2400

2400+80x+120x+4x²-4800=0

4x²+200x-2400=0------> divide by 4 both sides----> x²+50x-600=0

therefore

the answer is

x²+50x-600=0

Answer:

f(x) = x2 – 10x + 21

Step-by-step explanation:

I got it because you substract and add the last part

Answer:

The equation in slope-intercept form is y = x + 6

Step-by-step explanation:

For this question, we will use point slope form, where you can put in a point and a slope and get an equation of the line that passes through the point with that slope.

The point slope formula is y - y1 = m(x-x1) where y1 is the y coordinate of the point, m is the slope, and x1 is the x coordinate.

We are trying to find a line parallel to x - y = 6, so our line will have the same slope as it. To find the slope of x - y = 6, subtract x and divide by -1. This gives us y = x - 6, where the slope is 1.

Now we have all necessary information.

Plug in the values: y - 5 = 1(x + 1)

Simplify: y - 5 = x + 1

Add 5 to both sides: y = x + 6

The answer is y = x + 6

Answer:

She is wrong

Step-by-step explanation:

Let us use the scale 1 : 75 to find the length of the gym on the scale drawing.

The scale means that 1 m on the drawing represents 75 m in real life.

Therefore, if the length of the gym is 12.3 cm, then the length of the gym in the scale drawing is:

12.3 / 75 = 0.164 m

Converting to cm:

1 m = 100 cm

0.164 m = 0.164 * 100 = 16.4 cm

She is wrong.

Answer:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

12x - 5y = 2

5y = 12x - 2

Divide both sides by 5

y = 12/5x - 1/5

Comparing with the above formula

Slope / m = 12/5

Since the lines are parallel their slope are also the same.

Slope the parallel line = 12/5

Equation of the line using point (2,3) is

[tex]y - 3 = \frac{12}{5} (x - 2) [/tex]

Multiply through by 5

That's

5y - 15 = 12(x - 2)

5y - 15 = 12x - 24

We have the final answer as

Hope this helps you

Answer:

a = 1, b = 6

Step-by-step explanation:

The equation given is as follows;

P(x) = a·x³ + b·x² + 3·x - 10

The above equation has a factor of x + 5, therefore, we have;

P(-5) = 0 = a·(-5)³ + b·(-5)² + 3·(-5) - 10

-125·a + 25·b + (-15) - 10 = 0

-125·a + 25·b - 25 = 0

-125·a + 25·b  = 25...........(1)

Also, we are given that;

a·x³ + b·x² + 3·x - 10 divided by x + 1 as a remainder, R = -8, therefore;

P(-1) = -8 = a·(-1)³ + b·(-1)² + 3·(-1) - 10

-a + b - 13 = -8

-a + b = -8 + 13 = 5

-a + b = 5............................(2)

Multiply equation (2) by 25 and subtract from (1) gives

-125·a + 25·b - 25(-a + b) = 25 - 25×5

-100·a = 25 - 125 = -100

a = 1

Therefore, from equation (2) we have;

-1 + b = 5

b = 5 + 1 = 6.

Answer:

SSS

Step-by-step explanation:

I think it would be SSS (side, side, side)... let me know if I'm wrong and I'll try again:)

Check out the diagram below. I've marked the angles and sides that are congruent. Notice how the marked sides are not between the marked angles for either triangle. So we're dealing with AAS instead of ASA. The order is important. If we wanted to use ASA, then we would have to know DE = TU, both of those sides are between the marked angles.

Answer: Choice B) The conjecture is valid given the focus is on proportional equivalence of two sectors.

This is another way of saying "the two pie slices are the same percentage in area". By this, I mean the percentage of the entire cake. For instance, the shaded slice could be 20% of the entire circle area, for each circle.

It's probably easier to see this is the angle was 90 degrees (split the cake into 4 equal slices, only shade one slice). Or probably even easier if you cut the cake into two slices and only shade one slice (to form a central angle of 180 degrees). For the first example, the slice would be 25% of the whole area, while the second slice is 50%.

Choice C is close, but the two sectors are not the same area. This is because the bottom circle has a larger radius, and therefore its sector area is larger.

Answer:

TRUE

Step-by-step explanation:

if it was b^4 x b^3 then false. but here, would would multiply b^4 by b^3 to make it 12 so true

sorry for bad explanation

Answer:

True

Step-by-step explanation:

If b=2, 2^4 is 16, and 16^3 is 4096.

Also 2^12 is 4096.

So they are equivalent.

Answer:

If the expression is:

-3x + 12 = -3x + 12, infinite solutions

If the expression is:

-3x + 12 = -3x - 12, no solutions

Step-by-step explanation:

Step 1: Distribute

-3x + 12 = 3x = 12

If both lines have the same slope and same y-int, they are the same line and therefore have infinite solutions.

If both lines have the same slope but different y-int, then they are parallel and therefore have no solutions.

Answer:

Below.

Step-by-step explanation:

cos2a = 2 cos^2 a - 1

cos^4a =  8cos^4 a - 8cos^2 a + 1

Right side of the identity =

1 /8(3 + 4cos2a + cos4a)​

= 1/8( 3 + 4(2 cos^2 a - 1) + 8cos^4 a - 8cos^2 a+1)

= 1/8 (3 + 8 cos^2 a - 4 + 8 cos^4 a - 8cos^2 a + 1)

= 1/8 (8cos^4 a)

= cos^4 a = the left side.

I realised that I should have derived the identity for cos 4a as well , which i have done in the picture.

The given identity, cos⁴a = 1/8(3 + 4cos2a + cos4a) is proved.

To prove a given identity, say f(a) = f(b), we proceed to simplify any of the expressions among the L.H.S. f(a) and the R.H.S. f(b), to get the other term. If we get the simplified form as the other term, our identity holds and is proved.

We know cos2A = 2cos²A - 1.

Going by the same formula, we derive the value of cos4A.

cos4A = 2cos²2A - 1

or, cos4A = 2(2cos²A - 1)² - 1, putting value of cos2A

or, cos4A = 2(4cos⁴A - 4cos²A + 1) - 1, (expanding (2cos²A - 1)² using the formula of (a-b)² = a² -2ab + b²)

or, cos4A = 8cos⁴A - 8cos²A + 2 - 1, (expanding)

or, cos4A = 8cos⁴A - 8cos²A + 1, (simplifying)

∴ cos4A = 8cos⁴A - 8cos²A + 1.

Given identity to us is, cos⁴a = 1/8(3 + 4cos2a + cos4a).

To prove the identity, we proceed with the R.H.S.:

= 1/8(3 + 4cos2a + cos4a)

We put values of cos2A and cos4A in this expression, to get

= 1/8(3 + 4(2cos²a - 1) + (8cos⁴a - 8cos²a + 1))

Expanding the equation, we get

= 1/8(3 + 8cos²a - 4 + 8cos⁴a - 8cos²a + 1)

Simplifying, we get

= 1/8(8cos⁴a) = cos⁴a = L.H.S.

Hence, the given identity is proved.

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Answer:

She traveled 33 miles.

Step-by-step explanation:

11*3 = 33

Answer:

33

Step-by-step explanation:

11mph times 3 hours= 33 miles