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four subtracted from the product of five and a number is 71
Let a number = x
Product = to multiply
5x - 4 = 71

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Find g(1) if g(x) = x^2 + 1
Substitute 1 for x:
1^2 + 1
1+1=2

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if $80 is estimated to be the average fuels cost (f) and the monthly hanger rental is 5000, write an equation for the cost, c, in terms of x
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THe fixed or unchanging cost is $80 for utilities or fuels. The cost per month is $5000. The cost depends on the fixed cost plus how many months the hanger is rented for (x = number of months rented).
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C(x) = 5000x + 80

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you must speake English if you want us to help you.

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10x>14x+8 what is the value of x
10X - 14X > 8
-4X > 8
< Flip the inequality whenever you multiply or divide by a negative number
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X<-2
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check by plugging in values less than -2

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You were almost there! Think about which operation is the oposite of multiplication?
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To get rid of the 9, divide both sides by 9.
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9x-7=-11
9x = -11 +7
9x = -4

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simplify (-2xy^3)(-8x^3y^5)

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jASON HAD TO SUBMIT 5 PROJECTS. HE SCORED 88,79,76 AND 90 POINTS OUT OF 100 ON
4 PROJECTS. WHAT WOULD THE SCORE BE ON THE FIFTH PROJECT SO THAT THE AVERAGE IS 83?
=83
=83
333+x = (83)(5)
333+x) = 415
x=415-333
x=82
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check by plugging 82 back into the equation (let x=82).

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The formula for the x-variable of the vertex is
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f(x) = x2+10x+9
So identify the a, b, and c coeficients:
a= +1; b = +10; and c=+9
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Plug-in the variables and solve for the x-value:

x= -5
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Plug-in x=-5 and solve for the y-variable
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=25-50+9
y = -16
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so the vertex is (-5, -16)

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To solve, change yards to meters or meters to yards. Than you can compare units that are the same.
1 yard = 0.9144 meters
or
1 meter = 1.0936 yards.
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The units of measurement must be the same before you can compare them.

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Remember the rule that perpendicular lines have slopes that are the negative inverse of each other.
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First find the slope of the first line by getting the y-value to one side:
2x+y= -4
y= -2x -4
In the slope-intercept format, y = mx + b, where the m-value represents the slope, so the slope is -2.
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Secondly, the slope of the second perpendicular line is the "negative inverse" of the first slope, so:
-2 becomes 1/2 (flip the slope and multiply it by a negative 1 (-1)).
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Thirdly, plug-in the values for the second line and put them in the y=mx+b form:
x= 1; y=-5; and the slope m = 1/2, so, we need to solve for the b-value:
y=mx+b
-5 =(1/2)(1) + b
-5-(1/2) = b
b=-5.5, so
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The second line is y = (1/2) x + 4.5
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You should go back and check this by plugging in all of the values.

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This is a problem involving ratios. First find the ratio of dollars to sweaters. That means, how much would just 1 sweater cost if 4 sweaters cost $51.04?
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if 4 sweaters cost $51.04:
$51.04 / 4 sweaters = $12.76 / 1 sweater
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Since one sweater costs $12.76, multiply this by 6 sweaters and you get:
.
how much would 6 sweaters cost?
$12.76 x 6 sweaters = $76.56

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given the function f(x)=8x+5, find each of the following f(10),f(-1),f(0)
plug-in each x-value and solve the equation:
f(10)=8(10)+5=85
f(-1)=8(-1)+5=-3
f(0)=8(0)+5=?

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please give an example

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y=x^2+2x-3
the easiest way is to use a table of values. you can pick a few numbers for x, plug them in and solve for y.
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for example, if x = 1, y=1^2 + 2(1)- 3 = 0, so one point is (1, 0)
pick othe values for x such as 0, -1, -3, -4, 1, 3, 5.
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plug each number in (one at a time) and solve for y. this will give you a lot of points. plot the points on a graph and connect the dots. the graph should look like this:

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use the formula for finding the average:
sum/number=average
sum =88+72+85+76+x since you don't know the value of the fifth point, substitute "x"
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number = 5
average = 83
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so,
(88+72+85+76+x)/5=83 simplify and solve for "x"
=(321+x)/5=83
=321+x=(83)(5)
321+x =415
x=415-321
x=94
be sure to check your answwer by plugging x = 94 back into the equation

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Since x = 9 units, subsitute 9 for x in the equation and solve:
y = 0.45(9) + 10
y=$14.5

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2x^2-11x+15=0 factor
(2x-5)(x-3)=0 set each factor equal to zero and solve each factor for "x"
2x-5=0
2x=5
x=5/2
and
x-3=0
x=3
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be sure to check by plugging each x back into the orignal equation. see what happens when yopu plug either 3 or -3 back into the equation. you are on the right track. good job.

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y=-3/4x + 4 so i can graph it
this is in the slope-intercept form for the equation of a line
y=mx+b
so,
the (x,y) values are the points that will vary along the line
m=the slope of the line
b = the point (0,y) were the line crosses or cuts the y-axis
so, the slope is -3/4 and the y-intercept =4
to graph start at the y-intercept or (0,4)
from that point use the slope to plot the rise/run, so starting at (0,4) go down 3 and over 4. continue for a few points. now go back to the y-intercept (0,4) and go up 3 and to the left 4. continue for a few points. connect the dots for the image of the line.

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p=ak equation for direct variation.
k=the constant
p=12
a=5
12=5k solve for the constant k
12/5=k
2.4=k,
so, p=2.4a
plugging in the value for 30 students
p=(2.4)(30)
p=$72

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cross multiply or multiply by the LCM

multiply the denominators

now, you can add the numerators because the denominators are the same.

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any number raised to 0 = 1 except 0 itself
a^0 = 1

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x-4/7<2
x-(4/7)+(4/7) < 2+(4/7)
x<14/4
x<7/2

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h(x)=1/x,find h(- 1/2)
Plug-in x=-1/2 and solve
h(-1/2)=1/(-1/2)
=(1)(-2/1)=-2

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one number is eight more than twice another and their sum is 20. what are their number?
one number = x = 2y+8
another number = y
so, (2y+8)+ y=20
simplify 3y+8=20
3y=20-8
3y=12
y=4,
checking the answer gives x=2(4)+8=16
so, y = 4 and x = 16
4+16=20

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One way to represent a line using algebra, is with the slope-intercept equation of a line. This means: y=mx+b.
y and x is a particular point on the line.
m is the slope and, b is where the line crosses the y-axis.
.
So, in your example the slope = m = 10

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5+4a=5a+2 Isolate the variable to one side of the equation
5-5+4a=5a+2-5 Subtract, add, multiply or divide to isolate the variable
4a=5a-3
4a-5a=5a-5a-3
-a=-3
-1a/-1=-3/-1
a=3
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Check your answer by plugging a =3 back into the original equation
.
5+4(3)=5(3)+2
5+12 = 15+2
17=17 Checks out that a = 3

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{ 6(x - y) - 8x when x = -2 and y = 5 }
substitute the values for the variables:
6(-2-5)-8(-2)
solve using the Order of Operations:
6(-7)+16
-42+16
=-26

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First, I would define the rules: Parallel lines have the same slope; perpendicular lines have "egative reciprocal"slopes. Next, convert each line into the slope-intercpt formate y-mx+b.
5x+3y=7
3y=-5x+7
3y/3=-5/3x+7/3
So the slope is -5/3
.
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3x-5y=5
-5y=-3x+5
-5y/-5=(-3/-5x)-5/5
y=3/5x-1
so, the slope is 3/5
.
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Since the slopes are the "negative reciprocals" of each other, they are __________________?

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It means "greater than OR equal to" some answer. For example,
means that x is either greater than 3 OR x equals three; one or the other condition.

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Use the information as the "conversion factor"
so, 95 miles X (1 hour/ 55 miles)
"miles" cancel out leaving "hours"
95/55 hours = 1.727 hours
check by multiplying 1.727 hours x 55 miles/hour = ?