ANSWER ASAP A line has a slope of 0.5 and a y-intercept of (0, -2). What

ANSWER ASAP A line has a slope of 0.5 and a y-intercept of (0, -2). What is the value of y when x = 4?

2 months ago

Solution 1

Guest Guest #1966
2 months ago
b is value of y in y-intercept, b=-2

The equation of this line is

When x=4
y=0.5x-2=y=0.5*4-2=2-2 = 0
When x=4, y=0.

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The axis of symmetry for the graph of the function f(X)=3x^2+bx+4 is X=3/2. What is the value of b?
Solution 1
Remember that the axis of symetry is x=value of how far it is from the origin

also remember that the vertex formula is -b/(2a) so
mutiply both sides by 6
multily both sides by -1

so the equation is

Solution 2



Step-by-step explanation:

Jackson mows lawns to make money. It costs him $7 each week to advertise his business. It costs him $1.50 in gas to mow each lawn, and he charges $10.00 for each lawn he mows. Write an equation to model the amount of profit, P, he makes from mowing x lawns in one week.
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A quality control officer is randomly checking the weights of pumpkin seed bags being filled by an automatic filling machine. Each bag is advertised as weighing 400 grams. A bag must weigh within 2.1 grams in order to be accepted. What is the range of rejected bags, x, for the bags of pumpkin seeds?
Solution 1
If a bag of pumpkin seeds must weigh within 2.1 grams in order to be accepted, each bags must weigh between (400-2.1) grams and (400+2.1) grams. This means that if a bag weighs less than 397.9 grams (x<397.9) or more than 402.1 grams (x>402.1) it will be rejected. Therefore, 397.9>x>402.1 is the range of rejected bags.
Solution 2


x397.9 \ grams

Step-by-step explanation:

The range of rejected bags is found by summing and subtracting the 400 grams to 2.1 grams, because the second one represent the acceptable margin.

So, we have:

(400-2.1) \ grams

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x397.9 \ grams

Jason incorrectly simplified the expression (4.7*10^2)*(6.2*10^4). Circle each step that shows an error. Then correct each of those steps so that the expression is correctly simplified. A Step 1. 4.7*6.2*10^2*10^4 ______________ B Step 2. (4.7*6.2)*(10^2*10^4) ______________ C Step 3. 29.14*10^8 _____________ D Step 4. 2.914*10^6 _______________
Solution 1


Step C is incorrect: When you simplify exponents the rules are: for adding or subtracting, the base and the exponent must be equal; when multiplying the base must be the same, and the exponents will add; when dividing the base must be the same and the exponent will subtract.

Step D is incorrect: The last division is wrong, you could treat it with the general rule of exponents, subtracting the exponents of the base 10.

The correct procedure of each step is:

C. 29.14*10^{(2+4)}

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25.6% of what # is 21.12
Solution 1
To solve this problem, we are going to use the percent proportion, a/b = p/100, where a is the part of a number b, the whole, and p is the percentage out of 100.  
When we fill in our known integers into this equation, we get

21.12 / b = 25.6 / 100

Next, to simplify this equation, we should use cross products (means - extremes products theorem).  This means multiplying the numerator of one fraction and the denominator of the other fraction and setting them equal to one another.


When we multiply, you get

2112 = 25.6b

Finally, we divide both sides by 25.6, to get our variable b, alone, and without a coefficient.

82.5 = b

Therefore, 25.6% of the number 82.5 is 21.12.
Solution 2


x------> the number

we know that

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 \frac{25.6}{100} =0.256

By using proportion


divide by  0.256 both sides

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the answer is


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Solution 1
We have the following expression:
 (x + 5y) (x - 3y)
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 Grouping similar terms we have:
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x ^ 2 - 15y ^ 2 + 2xy
Solution 2
The answer you are looking for is x^2 - 15y^2 + 2xy.

To find this, you must first distribute one set of parenthesis into the other. This will give you "x^2 - 3xy + 5xy - 15y^2. You then combine like terms (-3xy and +5xy), to get "x^2 + 2xy - 15y^2". Finally, you organize the numbers based on their power (highest to lowest). Your final answer would be x^2 - 15y^2 + 2xy.

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Solution 1
We know that
in a right triangle
if sin A= cos B
angle A and angle B are complementary angles
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Sharon wants to know the difference between the average amount she stacked and the average amount Diane stacked. Which operation would she use to find the difference?
Solution 1
Sharon would subtract the amount that she stacked from Diane to figure out the difference.

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Solution 1
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How do you use properties of exponents and logarithms to rewrite functions in equivalent forms and solve equations?
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