The first term will be an x because
x squared breaks down as x times x.
First look for factors of your constant that add to your
coefficient of the middle term in the trinomial.
Also note that the constant is negative and a negative
factors as the product of a positive and a negative.
The factors of -20 that add to -8 are -10 and +2.
So we have y = (x - 10)(x + 2).
What is the product of d – 9 and 2d2 + 11d – 4?
2d3 – 7d2 – 103d + 36
2d3 – 7d2 – 95d + 36
2d3 + 7d2 – 95d + 36
2d3 + 7d2 – 103d + 36
Answer:
A.
2d3 – 7d2 – 103d + 36
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Bill is looking for a job as a gym teacher. he plans to send resumes to 130 schools in his state. Kinko's charges $30 per 100 copies and sells them only in sets of 100.
a. How many copies will bill have to purchase if he is to have enough resumes?
b. how much will the copies cost bill, including the 6% sales tax?
Solve by the substitution method. 8x + 9y=56 -9x + y = 26
Answer:
(-2,8)
Step-by-step explanation:
8x + 9y=56
-9x + y = 26
---------------------------------------------------------------------------------
-9x + y = 26
+9x = +9x
y = 9x + 26
---------------------------------------------------------------------------------
8x + 9(9x+26) = 56 <-- substitute for y from above
8x + 81x + 234 = 56
89x + 234 = 56
- 234 = - 234
89x = - 178
x = -2 <--- we got the x value!!
--------------------------------------------------------------------------------
-9x + y = 26
-9 (-2) + y = 26 <-- substitute for x from above
18 + y = 26
- 18 = - 18
y = 8 <-- we got the y value!!
10z + 3 =9z solve for z
z=-3
Step-by-step explanation:
Answer:
z = -3
Step-by-step explanation:
10z + 3 = 9z
10z + 9z - 3
10z - 9z = -3
z = -3
write an equation of the line and interpret the slope
Answer:
Step-by-step explanation:
Slope of this line will be= m= (600-200)/(1-5)
m = 400/-4 = -100
Eq of line will be:
(y-y1)=m(x-x1)
y-200=-100(x-5)
y-200+100x-500=0
100x+y-700 = 0
To write equation in slope-intercept form
y=mx+c
just seperate "y"
y=-100x+700
Hey there!
The answer to your question is [tex]y = -100x + 500[/tex]
To write this equation in slope-intercept form, first we must figure out the slope. We can do this using the formula
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]:
[tex]\frac{200-600}{5-1}[/tex]
[tex]\frac{-400}{4}[/tex]
[tex]-100[/tex]
Now, we have part of the equation: y = -100x + b. We have to find b, and we can do so by plugging in one of the points into the equation, like so:
[tex]600 = -100(1) + b[/tex]
[tex]600 = -100 + b[/tex]
[tex]500 = b[/tex]
Now, we have our equation:[tex]y = -100x + 500[/tex]
Hope it helps and have an amazing day!
A sweater that costs $32 is being marked down 30%. What is the new price of sweater?
Jamie puts an initial $900 into a savings account. The account has a 7% annual compound interest rate. What is the function that best represents Jamie's account and how much does he have in savings after 5 years? Round your answer to the nearest dollar.
Hint: Use the formula, f(x) = P(1 + r)x
A. f(x) = 900(1.7)x, $1,081
B. f(x) = 900(1.07)x, $1,262
C. f(x) = 900(1.07)x, $1,081
D. f(x) = 900(0.07)x, $1,262
Answer:
D. f(x)=900(0.07)^x.1,262
Step-by-step explanation:
You would have to use the P(1+r)^x
P= starting amount
R= rate of change or the percentage changed into a decimal
x= time
So it would be, 900(1+0.07)^5
calculating that you would get 1,262.3. but approximately it's 1,262.
Hope this helped
A compound is made up of various elements totaling 90 ounces. If the total amount of uranium in the compound weighs 18 ounces, what percent of the compound is made up of uranium? If necessary, round your answer to the nearest hundredth.
Answer:
20%
Step-by-step explanation:
The percent of the compound that is made of uranium is calculated as:
(Number of ounces of uranium /Number of ounces of the compound)
× 100
Total amount of uranium in the compound weighs = 18 ounces
A compound is made up of various elements totaling = 90 ounces.
Hence:
= 18/90 × 100
= 1800/90
= 20%
Therefore, the percent of the compound that is made up of uranium is 20%
The base of a parallelogram is 6 ft more than the height. If the area of the parallelogram is 55 ft^2, what are the measures of the base and the height?
Answer:
Height = 5 ft
Base = 11 ft
Step-by-step explanation:
The area of a parallelogram is
Base × Height
From the question:
The base of a parallelogram is 6 ft more than the height.
Base = 6ft + h
If the area of the parallelogram is 55 ft^2,
what are the measures of the base and the height?
This is calculated as:
55 ft² =( 6 + h ) × h
55 = 6h + h²
h² + 6h - 55 = 0
h² +5h - 11h - 55 = 0
h(h + 5) - 11(h + 5) = 0
(h + 5)(h - 11) = 0
h - 11 = 0
height = 5ft
Base = 6 + h = 6 + 5
Base = 11ft
Analyze the diagram below and complete the instructions that follow.
X
459
3
45°
Find the value of x.
A V3
B. 3V2
2
2
Answer:
B.y-Step-bstep explanation:
ok so
the triangle has 3 angle
45-45-90
one 45 points to x
that means the other side is also x
the 90 degrees points to 3
3=x√2
x=2.12132
The value of x in the given diagram is 3√2, Option C is correct.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The given triangle has 45-45-90 degrees.
We have to find the value of x in the given triangle.
The cosine function is ratio of the adjacent side by hypotenuse.
cos 45= 3/x
The value of cos 45 degrees is one divided by root 2.
1/√2 =3/x
Now apply the cross multiplication
x=3√2
Hence, the value of x in the given diagram is 3√2, Option C is correct.
To learn more on trigonometry click:
https://brainly.com/question/25122835
#SPJ7
Hi! If you could please do my assignment, I'd be grateful! I'll also mark brainliest, giving thanks, and hearts for the best. Thank you!!!
Answer:
1. AD
2. 5.2 cm
3. x = 4
4. BC
5. 3
6. x = 12
Step-by-step explanation:
(3 + 81)(3 - 81) =
DONE
h
Answer:
-6552
Step-by-step explanation:
First do 3+81 = 84 then 3-81 = -78. Then multiply them together to get -6552
Answer:
（3 + 81）（3-81）=9-6561
Stepby-step explanation:
Pls help, I know the answer but what I wrote in the box isn't correct
How do I show the answer?
Answer:
AC=11.38 cm
Step-by-step explanation:
The Law of Cosines
It relates the length of the sides of a triangle with one of its internal angles.
Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:
[tex]c^2=a^2+b^2-2ab\cos x[/tex]
The figure shows two triangles and we are required to calculate the length of the side AC, knowing two sides and the angle between them. Thus, applying the formula:
[tex]AC^2=17^2+13^2-2*17*13*\cos42^\circ[/tex]
[tex]AC^2=289+169-442*0.7431[/tex]
[tex]AC^2=129.53[/tex]
[tex]AC=\sqrt{129.53}[/tex]
AC=11.38 cm
PLEASE HELP ME ILL GIVE BRAINLIEST ITS DUE SOON OMG
Answer: He was given 50 for his birthday
Answer:
It's b
Step-by-step explanation:
This was the first answer I gave. So I am going with it.
Help needed. Will mark brainliest. Please help:c
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Cost of owning and operating a printer :
Purchase Cost = $100
Printing per per page = $0.05
Thus, owning and operating cost :
Purchase cost + (Printing per page * number of pages)
Number of pages = p
100 + 0.05p
Service cost :
Amount per page = 0.25
Total revenue = cost per page * number of pages
Total revenue from service =. 0.25p
The equation :
100 + 0.05p = 0.25p ; is the owning and operating cost = total revenue
It gives the equation to calculate the number of pages at which total revenue equals owning and operating cost.
100 + 0.05p = 0.25p
100 =0.25p - 0.05p
100 = 0.20p
p = 100/0.2
p = 500
When number of pages equals 500; the owning and operating cost is equal to the revenue made.
Anne is playing golf. On the first tee, she hits a slow shot down the Y = x -0.0 4X squared, we are why is the balls hide in the air and eggs is a horizontal distance in his drawer from the tea. The distance or measured in feet how far from the tea does the ball hit the ground
Answer:
25 ft
Step-by-step explanation:
The path of the golf ball is given by the equation.
[tex]y=x-0.04x^2[/tex]
The point on the ground where the ball will land on the ground is the point where [tex]y=0[/tex].
[tex]x[/tex] is horizontal distance
So
[tex]0=x-0.04x^2\\\Rightarrow x(1-0.04x)=0\\\Rightarrow 1-0.04x=0\\\Rightarrow x=\dfrac{1}{0.04}\\\Rightarrow x=25[/tex]
So, the ball will land 25 ft away from the tee.
yoko is saving money to buy a bike that costs 125$.She has 60 and will add an additional 5 each week.In how many weeks will she have enough to buy the bikw
Answer:
13 Weeks
Step-by-step explanation:
Yoko currently has $60 so if she gains $5 each week simply 5x13=65
$60+$65=$125
here is a math question
Answer:
D.
Step-by-step explanation:
Because the sign is facing the number 26 It means 26 is greater so 2x-4 has to be smaller (less then or equal to 26)
The tables correspond to two lines in the coordinate plane.What is the X- coordinate of the solution of the two lines? hint:what point is the same?
Answer:
2
Step-by-step explanation:
when x=2, both lines have a y of -4
Mary Beth could jump 42 times each minute. How many times could she jump in two hours explain to me step by step
Answer:
5,040 jumps
Step-by-step explanation:
Let's figure out the number of jumps per hour
42 steps/minute * 60 minutes/hour = 2,520 jumps/hour
Mary Beth is jumping for 2 hours, so we need to multiply by 2 hours.
2,520 jumps/hour * 2 hours = 5,040 jumps
If mZLKO = 72°, then what is mZJKH?
B
C
E
A
►F
H Η
M
Answer:
d-"5"_""__"_'uvyctxycuvycycycyv
help me again pleaseee
Answer:
a). x = 10.20 in
b). x = 2.24
Step-by-step explanation:
a). By applying Pythagoras theorem in the given right angle,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
(15)² = x² + (11)²
225 = x² + 121
x² = 225 - 121
x² = 104
x = √104
x = 10.198 ≈ 10.20 in
b). By applying Pythagoras theorem,
(3x)² = (2x)² + (5)²
9x² = 4x² + 25
9x² - 4x² = 25
5x² = 25
x² = 5
x = √5 = 2.24
Convert the following repeating decimal to a fraction in simplest form.
.6
Answer:
2/3
Step-by-step explanation:
Answer:
7/10
Step-by-step explanation:
0.6 is a repeating decimal in this case, so you can round it to .7
From there, you simply put it over ten because you cant break seven down any more than that in a simple fraction.
Which equation represents the line that passes through the points (-3, 7) and (9,-1)? oy--3x+5 o y=-x-7 o y=zx-7 oy - 12 2x+5
Answer:
use the slope equation (y2-y1) / (x2 -x1). plug in values and solve
(-1 -7) / (9 -(-3)) (subtracting a negative is the same as adding a positive)
-8 / 12 (simplify)
m = -2/3
then, plug in one of the points and the slope into the slope-point equation.
(y - y1) = m (x - x1) (the point-slope form)
y - 7 = -2/3( x - (-3)) (plug in the slope and point 1 values, then solve)
y - 7 = -2/3x - 2 (add 7 to both sides)
y = 2/3x +5 (the answer)
Step-by-step explanation:
I hope this helps :))
IQ
GPA
ia
SAT
115
3.4
115
1440
84
2.1
84
780
In this assignment, you will be comparing two data
sets. The first data set shows the relationship of GPA
and IQ scores. The second data set compares SAT
scores and IQ scores.
In the scatterplots for both sets of data, the
independent variable is
111
3.1
111
1120
120
3.8
120
1560
105
2.8
105
1240
98
2.6
98
1200
96
96
1000
88
88
920
It
Answer:
The answer is IQ
Step-by-step explanation:
Edge 2021
Solve the following expression 8 + (-20)
Answer:
-12
Step-by-step explanation:
integer rule = when a + and - comes it is indicated as - so ..
8-20 = -12
we put a minus sighnbecause 20 is the bigger number
Answer:
-12
Step-by-step explanation:
Note the rules of the signs:
If there are two positive signs next to each other, the resulting sign will be positive. Example + (+ ).
If there is one negative sign and one positive sign directly next to each other, the resulting sign will be negative Example - (+ ) or + (- ).
If there are two negative signs directly next to each other, the resulting sign will be positive. Example - (- ).
In this case, there is one negative, and one positive sign. Subtract 8 with 20:
8 + (-20) = 8 - 20 = -12
-12 is your answer.
~
check the picture below & help please!!
how many hours?
Answer:
I think it should be 11/3
Evaluate the expression when a= 1/4 and b = 6.
16a2 – 4b=
Step-by-step explanation:
HERE,
a=[tex]\bold{\dfrac{1}{4} }[/tex]
b=6
so,
According to the question,
[tex]\bold{16a^2-4b }[/tex]
[tex]\bold{16\times(\dfrac{1}{4})^2-4\times 6 }[/tex]
[tex]\bold{ 16\times \dfrac{1}{16}-24 }[/tex]
[tex]\bold{\cancel{16}\times \dfrac{1}{\cancel{16}}-24 }[/tex]
[tex]\bold{1-24 }[/tex]
[tex]\bold{ -23 }[/tex]
Decrease £280 by 15%
Answer:
238
Step-by-step explanation:
280 times 0.85 = 238
what is the third side ? due in 2 days
Answer:
the third side could be 8 or 2
Step-by-step explanation:
Answer:
6 < x < 14; answer = 8
Step-by-step explanation:
triangle inequality theorem: sum of any two sides must be greater than the third side
4 + 10 > x x < 14
10 + x > 4 x > 6