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
2 months ago
Y=mx+b
m=0.5
b is value of y in y-intercept, b=-2
The equation of this line is
y=0.5x-2
When x=4
y=0.5x-2=y=0.5*4-2=2-2 = 0
When x=4, y=0.
m=0.5
b is value of y in y-intercept, b=-2
The equation of this line is
y=0.5x-2
When x=4
y=0.5x-2=y=0.5*4-2=2-2 = 0
When x=4, y=0.
📚 Related Questions
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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
a=3
3/2=-b/(2(3))
3/2=-b/(6)
mutiply both sides by 6
18/2=-b
9=-b
multily both sides by -1
-9=b
so the equation is
f(x)=3x^2-9x+4
b=-9
also remember that the vertex formula is -b/(2a) so
a=3
3/2=-b/(2(3))
3/2=-b/(6)
mutiply both sides by 6
18/2=-b
9=-b
multily both sides by -1
-9=b
so the equation is
f(x)=3x^2-9x+4
b=-9
Solution 2
Answer:
-9
Step-by-step explanation:
Question
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.
Solution 1
Lawns = L
Money he gets from mowing = M
M - $7 - (L * $1.50) = P for 1 Week
Hope this helped :D
Money he gets from mowing = M
M - $7 - (L * $1.50) = P for 1 Week
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Question
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
Answer:
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:
However, this interval represents the accepted range. The rejected range would be the opposite. Therefore, the asked range is:
Question
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
Answer:
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.
D.
Solution 2
So sum means add
difference means subtract
represent as x and y
x+y=55 times (x-y)
find ratio of numbers
solve for one placeholder and simplify
solve for y
distributiver property a(b-c)=ab-ac
55(x-y)=55x-55y
difference means subtract
represent as x and y
x+y=55 times (x-y)
find ratio of numbers
solve for one placeholder and simplify
solve for y
distributiver property a(b-c)=ab-ac
55(x-y)=55x-55y
Question
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.
21.12(100)=25.6(b)
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.
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.
21.12(100)=25.6(b)
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
Let
x------> the number
we know that
% is equal to
By using proportion
divide by both sides
therefore
the answer is
Question
Expand and simplify: (x + 5y) (x − 3y)
Solution 1
We have the following expression:
(x + 5y) (x - 3y)
Rewriting we have:
x ^ 2 - 3xy + 5xy - 15y ^ 2
Grouping similar terms we have:
x ^ 2 - 15y ^ 2 + 2xy
Answer:
The complete and simplified expression is given by:
x ^ 2 - 15y ^ 2 + 2xy
(x + 5y) (x - 3y)
Rewriting we have:
x ^ 2 - 3xy + 5xy - 15y ^ 2
Grouping similar terms we have:
x ^ 2 - 15y ^ 2 + 2xy
Answer:
The complete and simplified expression is given by:
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.
I hope this helps!
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.
I hope this helps!
Question
Angles α and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of α if α < β. sin(2x − 8) = cos(6x − 6)
Solution 1
We know that
in a right triangle
if sin A= cos B
then
angle A and angle B are complementary angles
so A+B=90
therefore
(2x-8)+(6x-6)=90-------> 8x-14=90----> 8x=104--------> x=13°
(2x-8)-----> 2*13-8----> 18°
(6x-6)-----> 6*13-6----> 72°
if α < β
then
α =18°
β=72°
in a right triangle
if sin A= cos B
then
angle A and angle B are complementary angles
so A+B=90
therefore
(2x-8)+(6x-6)=90-------> 8x-14=90----> 8x=104--------> x=13°
(2x-8)-----> 2*13-8----> 18°
(6x-6)-----> 6*13-6----> 72°
if α < β
then
α =18°
β=72°
Question
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.
Hope this helped :D
Hope this helped :D
Question
The function f(x) = 12x + 50 gives the amount of money a worker earns for working x hours per week. What is the inverse function?
Solution 1
12x + 50 = 62 but you have to multiply x by 12. I don't know what x is so maybe subtract 12 and 50 to get x. 50 - 12 = 38/ 38 x 12 = 456, then divide that by 50. 456 / 50 = 9.12, round up or down and get 9. 9 is your answer!!!
Question
How do you use properties of exponents and logarithms to rewrite functions in equivalent forms and solve equations?
Solution 1
Some of the logarithmic properties most used to solve equations are the following.
1) log (a) ^ b = b * log (a)
2) log (a * b) = log (a) + log (b)
3) log (a / b) = log (a) - log (b)
These logarithmic properties can be used to solve equations.
For example:
2 ^ x = 56
If we apply to this equation the logarithm function on both sides that we have left
log (2) ^ x = log (56)
This function is equivalent to the first.
If we now apply the property 1) of the previous logarithms, we can reveal x of the equation.
x * log (2) = log (56)
x = log (56) / log (2)
x = 5,807
Thus, thanks to the properties of the logarithms, this exponential function could be solved
1) log (a) ^ b = b * log (a)
2) log (a * b) = log (a) + log (b)
3) log (a / b) = log (a) - log (b)
These logarithmic properties can be used to solve equations.
For example:
2 ^ x = 56
If we apply to this equation the logarithm function on both sides that we have left
log (2) ^ x = log (56)
This function is equivalent to the first.
If we now apply the property 1) of the previous logarithms, we can reveal x of the equation.
x * log (2) = log (56)
x = log (56) / log (2)
x = 5,807
Thus, thanks to the properties of the logarithms, this exponential function could be solved
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