Answer:
7
Step-by-step explanation: (dont trust me)
x^2 + (7)x +18
x(x + 4) + 3(x + 6)
Answer:
See the attachment for what goes on your X diagram.
Rewrite: x² -7x +4x -28
Grouping: (x² -7x) +(4x -28) = x(x -7) +4(x -7) = (x +4)(x -7)
Step-by-step explanation:
The given quadratic is ...
... x² -3x -28 . . . . . a=1, b=-3, c=-28
a) The value at the top of the X diagram is the product a·c = 1·(-28) = -28.
The value at the bottom of the X diagram is the coefficient b = -3.
The values on the sides of the diagram are the factors of -28 that add up to make -3. These are -7 and 4. That is, ...
(-7)·(4) = -28
(-7)+(4) = -3
b) Since the two values on the sides of the diagram add up to give "b", the value of "b" in the equation can be rewritten as the sum of these two numbers. Doing that, we have ...
... x² -3x -28
... = x² +(-7+4)x -28
... = x² -7x +4x -28 . . . . . . order does not matter. It could also be x² +4x -7x -28
c) We can group pairs of terms in the rewritten expression and factor each pair.
... = (x² -7x) +(4x -28) . . . . . first pair has a common factor of x; second pair, 4
... = x(x -7) +4(x -7) . . . . . . . these terms now have a common factor: (x -7)
... = (x +4)(x -7) . . . . . . . . . . the complete factorization of x² -3x -28
_____
Comment on extended application
When a ≠ 1, there are a couple of additional steps. Effectively, you reduce the fractions ax/p and ax/q to a'x/p' and a''x/q'', then rewrite those as the factors (a'x+p')(a''x+q'') where the ' and '' numbers are after reducing the fractions. (The numbers may be the same as the original if the fraction cannot be reduced.) As a check, a'·a'' = a, and p'·q'' = c.
i need help on the math question look at pic
Answer:
9 is answer . . . . . . . ........
If f(x)= -2x+3 , find f(-1)?
Before we solve the equation let's take a look at it.
f(x) = -2x + 3
See how x appears in both f(x) and as the variable in the second half of the equation?
f(x) means "The function of x." You might also see g(x), h(x), and while those are the most common it can really be any letter, and any variable inside the parentheses.
So when we see f(-1), that means "The function of -1" or "The function of x when it is equal to -1."
Catching on? We need to replace x with -1 to solve for f(-1).
So here we go:
f(x) = -2x + 3
f(-1) = -2(-1) + 3
f(-1) = 2 + 3
f(-1) = 5
Voilà! We have solved for f(-1). Hope this helped.
Juanita is riding her bicycle on a trail at the rate of 0.3 kilometers per
minute. Michelle is 11.2 kilometers behind Juanita when she starts traveling
on the same trail at a rate of 0.44 kilometers per minute. Let d represent
the distance in kilometers the bicyclists are from the start of the trail and t
represent the time in minutes. The situation can be represented by the
following system; d=0.3t+11.2 and d=0.44t. How many minutes will it take
Michelle to catch up to Juanita? How far will they be from the start of the
trail? Use the substitution method to determine your answer.
Answer:
It will take Michelle 80 minutes.
They're 35.20 kilometers away from their starting point.
Step-by-step explanation:
We have to find how many minutes it would take Michelle to catch up to Juanita.
We know that Michelle's movement is represented as: d = 0.44t
Juanita's movement is represented as: d = 0.3t + 11.2
To find how many minutes it would take for Michelle to catch up, we will have to solve both equations together and solve for "t", or time.
Solve:
0.44t = 0.3t + 11.2
Subtract 0.3t from both sides.
0.14t = 11.2
Divide both sides by 0.14
t = 11.2/0.14
t = 80
This means that it would take 80 minutes for Michelle to catch up.
To find how far they are, multiply 0.44 by 80.
0.44 · 80 = 35.20
This means that they're 35.20 kilometers away from their starting point.
UKMT Q8??? I have inserted the photo of the question
Answer: The distance is 15 units.
Step-by-step explanation:
Let's define the bottom left corner of the left rectangle as the point (0, 0).
we know that the rectangles are of 10 by 14, then the point O will be exactly on the middle of these two quantities (because the long side is on the horizontal axis, the point O could be written as):
O (7, 5)
Point M is on the top of the rectangle, then we know that the y component will be equal to 14.
And the x component is on the middle of the rectangle (this side is the one that measures 10 units)
the middle is 5.
And we also need to add the 14 units of the other rectangle that is lying down, then the x-component of this rectangle is 14+ 5 = 19
The point M is (19, 14)
We want to find the distance between the points (7, 5) and (19, 14)
We know that the distance between points (a, b) and (c, d) is:
Distance = √( (a - c)^2 + (b - d)^2)
In this case, the distance between points O and M will be:
distance = √( (7 - 19)^2 + (5 - 14)^2) = 15
Distance between points O and M is 15 units.
Is x^4x^5=x^9 power of a power
WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER! Are these figures similar.
Answer:
A, Similar
You're welcome
PLEASE HELP, I really need this and my brain is having a massive math block, and i don't remember how to do this!!!
Answer: b = 9
Step-by-step explanation:
Set up proportions.
20 : 12
15 : b
Cross multiply the proportions.
20b : 180
Simplyfi the ratio.
20b/20
180/20
The answer is b = 9.
hope this helps :)
Answer:
Step-by-step explanation:
15 b
20 12
15 times 12 is 180
20 times b is 20b
20b=180
÷20 ÷20
b=9
9/12=15/20
3/4=3/4
12 34/50 / 11 30/25
no im not giving the first correct person brainliest
only idiots do that
Answer: 317/305 or 1 12/305
Step-by-step explanation: Reduce the expression, if possible, by cancelling the common factors.
The 8th grade class is fundraising for their spring trip. They need to raise a minimum of $2,000. The class is selling mugs at $6 a piece as a fundraising item. They must pay $40 in shipping for the mugs.a) Write an inequality that models this situation
Answer:
If you multiply the 7 by 15 using the AZB formula you will get the asnwer^5 to divide the answer by .05
Step-by-step explanation:
The diameter of a circle is 9 cm. Find its area to the nearest tenth.
Cut diameter in half to find radius
9/2 = 4.5
radius = 4.5
This is the formula for area of a circle:
pi * radius^2
pi * 4.5^2
20.25pi
Now find pi:
20.25 * pi = 63.6
Answer:
63.6 cm is the area
Answer:
63.6
Step-by-step explanation:
1. A = πr²
2. Find the radius (r). Since the radius of a circle is the diameter/2, the radius is 9/2, which is 4.5
3. Now that we know the radius, we plug it into our formula: A = π(4.5)²
4. Simplify: A = 3.14(20.25)
5. A = 63.62
6. Rounding to the nearest tenth makes your answer 63.6
Add A + B
A: 3x² + 2x - 6
B: x² - 4x + 10
Answer:
3x² + 2x - 6+(x² - 4x + 10)
3x² + 2x - 6+x²-4x+10
3x²+x²+2x-4x-6+10
4x²-2x+4
The price, P, of a sweater was discounted by 10% in
February. Because the sweater did not sell by the end of
the winter season, it was discounted by another 20% in
March. In terms of P, what was the price of the sweater
after the discount in March?
Answer:
In terms of P, the price of the sweater after the discount is 0.72P.
Step-by-step explanation:
Since the price P would represent 100% and the price was discounted by 10%, you can calculate 10% of 100% and subtract that amount, which would be:
100*10%=10
100-10=90%
This means that the price paid would be 90% of P. Then, the statement says that the price was discounted by another 20%. So, you have to calculate 20% of the price and subtract that amount from the price:
90*20%=18
90-18=72%
According to this, this means that in terms of P, the price of the sweater after the discount is 0.72P.
Explain how to write the equation from the graph
Answer:
im guessing because its a slope were trying to find the slope intercept so y1~mx1+b on desomos or y=mx+b in actual equation form
Step-by-step explanation:
I need helpp guys i hope i get correct answers because i do NOT get this lol
Answer:
(The multiply and the x are the same, so I’m just letting you know that the first x is the letter x and the second is the multiply sign.)
x x 3 + 4 (equation)
x = 6 (solution)
Step-by-step explanation:
6 x 3 + 4
22 - 4 = 18 (which takes out the four, which means what number times 3 would get 18)
6 x 3 = 18
6 x 3 + 4 = 22
Help I need this asap, Sally can read 9 pages in 3 hours. George can read 20 pages in 5 hours. Who read the most pages per hour and by how much
pls help will give brainliest to right answer
Answer:
41.13
Step-by-step explanation:
The figure is basically 8+8+circumference of a circle with 8 diameter. The circumference is 2pi(4) which is 50.27, and you add 16 to that. This gives you the answer 41.13
Thanks to garden555 for pointing out my mistake.
Answer:
60m / 41.12 m
Step-by-step explanation:
side of square is 8m
hence, radius of the semicircle is 1/2 of 8
= 4m.
2semicircles = 1 circle.
perimeter of a circle = 2πr
Taking value of π as 22/7,
= 2 x 22/7 x 4
= 176/4
= 44m
OR
Taking value of π as 3.14,
= 2 x 3.14 x 4
= 25.12m
hence, perimeter of figure is,
44 + 8 + 8 = 60m
OR
25.12 + 8 + 8 = 41.12 m
5/6 -
7. Which measurements could not represent the side lengths of a right triangle? (TEKS 8.7C-R)
A 6 cm, 8 cm, 10 cm
B 12 cm, 35 cm, 37 cm
C 4 cm, 6 cm, 10 cm
D 10 cm, 24 cm, 26 cm
PLEASE HELP
Answer:
A
Step-by-step explanation:
IT IS A
the perimeter of a rectangle is 61 centimeters. The length is 4.1 centimeters longer then the width, w . Write and solve an equation to find the width of the rectangle
x+3y=6
3x+9y=72
cdxddxdxfcfcgcffcffcfchcfcfhxhc
Answer:
No solution
Step-by-step explanation:
1) 3(x+3y=6)
3x+9y=72
2) 3x+9y=18
3x+9y=72
3) 3x+9y=18
-
3x+9y=72
____________
-54
Write the equation of the line that passes through the points (9, -8) and (-3,8). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Find the Circumference of the circle.
30 points for whoever answers this
Answer:
87.92
Step-by-step explanation:
(2)(3.14)=6.28
(6.28)(14)=87.92
2(pi)(r)
How do you write 343% as a decimal?
Answer:
Im guessing its 3.43
Step-by-step explanation:
Hope this helps :)
simplify this (0.001)^3.
Answer:
0.003
Step-by-step explanation:
GUYS HELP IM STUCK!!!!!!!
Answer:
A Responding variable.
Step-by-step explanation:
Think about it, if you had a car and there were two different ramps, one short and one was high, would the car's speed be different from the other ramp? Yes it would, and since its changing its a responding variable, because that changes as well.
P.S I would appreciate Brainliest or whatever thats called!
Answer:
It's the middle one
Step-by-step explanation:
Please help solve :D
April, May and June have
90
sweets between them. May has three-quarters of the number of sweets that June has.
April has two-thirds of the number of sweets that May has. How many sweets does June have?
Answer:
40 sweets
Step-by-step explanation:
Let june have x sweets
may has 3x/4 sweets
April has x/2 sweets
total sweets is 90
Adding all sweets =
x/2+3x/4+x = 90
9x = 360
x = 40
Therefore June has 40 Sweets
*EXTRA POINTS*
Answer the boxes :)
First Dropbox option is “A geometric or an arithmetic” second box options is “common difference or common ratio” third box you type in.
Answer:
geometric sequence
ratio
2
Find the area of a rectangle that has a height of 8x^2y and a base of 6y^4
Answer:
[tex] 48 {x}^{2} {y}^{5} [/tex]
Step-by-step explanation:
Given:
[tex] l = 8x^2 y\: \&\: b = 6y^4 [/tex]
Area of rectangle
[tex] = l \times b \\ \\ = 8 {x}^{2} y \times 6 {y}^{4} \\ \\ = 8 \times 6 \times {x}^{2} y \times {y}^{4} \\ \\ = 48 {x}^{2} {y}^{5} [/tex]
A car travels for 4 hours at an average speed of 45mph and then 6hours at an average speed of 35mph. Work out the distance travelled.
Answer:
390 miles
Step-by-step explanation:
(45 x 4) + (35 x 6) = 390 miles
Prove (n + 6)² – (n + 2)² is always a multiple of 8
Step-by-step explanation:
(n+6)^2-(n+2)^2=(n+6-n-2)*(n+6+n+2)=4*2*(n+4)=8*(n+4) so it is always a multiple of 8