Step-by-step explanation:
1.
[tex] {m}^{2} + 15m + 56 = ( \: \: \: \: \: )(m + 8) \\ solution \\ \: \: taking \: lhs \\ = {m}^{2} + 15m + 5 \\ = {m}^{2} + (7 + 8)m + 56 \\ \: \: \: \: = {m}^{2} + 8m + 7m + 56 \: \: \\ now \: taking \: common \: factor \\ m(m + 8) + 7(m + 8) \\ (m + 7)(m + 8) \\ now \\ {m}^{2} + 15m + 56 = (m + 7)(m + 8)[/tex]
2.
[tex] {a}^{2} + 5ab + 6 {b}^{2} = ( a + 2b)( \: \: \: \: \: \: \: \: ) \\ solution \\ taking \: \: lhs \\ = {a}^{2} + 5ab + 6 {b}^{2} \\ = {a}^{2} + ( 3+ 2)ab + 6 {b}^{2} \\ = {a}^{2} + 3ab + 2ab + 6 {b}^{2} \\now \: taking \: common \: factor \\ a(a + 3b) + 2b(a + 3) \\ (a + 2b)(a + 3) \\ now \\ {a}^{2} + 5ab + 6 {b}^{2} = ( a + 2b)( a + 3) ans[/tex]
this may help you(:
Which of the following represents the prime factortzation of 72?
023.32.4
th
023.32
02.32.42
22.33
Answer:
2³ x 3²
Step-by-step explanation:
The prime factorization of a number is the process of breaking down a number to a set of prime numbers that their product will give the original number:
72
2 x 36
2 x 2 x 18
2 x 2 x 2 x 9
2 x 2 x 2 x 3 x 3
So;
The prime factorization is 2³ x 3²
Please help me if you know how to do this
Question 17
Answer: choice C) y = (x-2)^2 - 3--------------------
Explanation:
We know that a = 1 so it matches with the 'a' value in y = x^2. Otherwise, the shapes wouldn't match up and they wouldn't be congruent.
The vertex we want is (h,k) = (2,-3)
Therefore,
y = a(x-h)^2 + k
y = 1(x-2)^2 + (-3)
y = (x-2)^2 - 3
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Question 18
Answer: choice B) min point; -4--------------------
Explanation:
The equation y = 3(x-1)^2 - 4 is in the form y = a(x-h)^2 + k which is known as vertex form.
a = 3 being positive tells us the graph opens upward and we have a min point. There is no max point as it goes on forever upward.
The min point is k = -4 which is the y coordinate of the vertex.
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Question 19
Answer: Choice B) y = (1/2)x^2 + 3x - 5--------------------
Explanation:
The equation opens up, so the value of 'a' must be positive. This narrows our choices to A or B.
We eliminate choice A because that graph is more narrow compared to y = x^2. Choice B is wider and flatter compared to y = x^2 due to 1/2 being smaller than 1.
Put the integers in order from least to greatest. = - 3 =5 =2 = - 4
Answer:
-4, -3, 2, 5
Step-by-step explanation:
hope this helps.
What is the equation of the line in slope-intercept form?
Answer:
the slope is 3/5 so,
y=3/5x+3
Step-by-step explanation:
just solve for the slope and the coordinate point are gives you the b!
What is 12% of $19.50?
A: 0.23
B: 1.20
C: 2.34
D: 7.50
please say how you got the answer to ty!!! AND I WILL MARK BRAINLIEST!!
A baseball is thrown in a parabolic arch
please help me I really need it
Answer:
15 grams .
Step-by-step explanation:
We need to multiply the percentage as a decimal (0.30) with the amount of chocolate (50 g):
0.30*50 = 15 g
There are 15 grams of cocoa in the chocolate bar.
Work Shown:
30% = 30/100 = 0.30
30% of 50 = 0.30*50 = 15
Here's another way to think about it: If we had 100 grams of chocolate and 30% are cocoa, then we have 30 grams of cocoa by definition of what percentage means. Divide the 100 in half to get 50, so we'll have to divide the 30 in half to get 15.
How do I solve for x 7x–1=125
Answer:
x=18
Step-by-step explanation:
You add 1 on each side so you have 7x=126. Then you divide each side by 7, so you get x=18! Hope this helps!
A frame is marked down by 22 percent from an original price of $14.50. What is the new price?
$3.19
$11.31
$13.72
$14.28
Answer:
$11.31
Step-by-step explanation:
$14.50x .22= 3.19
$14.50- 3.19= 11.31
Answer:
The answer is 11.31
Step-by-step explanation:
Just took the unit test review
edge 2020
The price of stock A at 9 a.m. was $15.75. Since then, the price has been increase at rate of $.05 per hour. At noon , the price of stock B was $16.53. It begin to decrease at the rate of $.13 per hour. If the stock continue to increase and decrease at the same rate, in how many hours will the price of the stocks be the same?
Answer:
Step-by-step explanation:
15.75 plus .05x = 16.53-.13x
.78=.18x
4.3 hours is your answer
Which number completes the inequality -5.13 blank -4.8
-5.3 - 5.23 - 4.38 - 5.1
Answer:
The answer is 5.1.
(-5.13 5.1 -4.8)
Hope this helps! <3
Answer:
It is 5.1.
Step-by-step explanation:
I took the test. Have a great day :)
Joshua, an editor for the Winston Salem Gazette, edits 1⁄6 of a page in 3 minutes. How long would it take him to edit 3 pages?
Answer:
54
Step-by-step explanation:
If we know that Josh edits at a rate of 1/6 of a page in three minutes... then using the Unit rule... we can determine that he edits 1 whole page 6 times longer than that. By doing that... we find that Josh edits 1 page in 18 minutes. From there... we multiply the time at which it takes him to edit one page (18 minutes) by 3 (pages) to get our answer.
18 x 3 = 54
What is the measure of angle x
Which equation represents a lineThat passes through (-2, 4) and has a slope of 2/5
Answer:
-2,4
Step-by-step explanation:
Solve for x.
4x +4=12
Answer:
x = 2
Step-by-step explanation:
4x +4=12
-4. -4
4x.= 8
divide both saide by 4
x. = 2
Subtract 4 from both sides
4x + 4 - 4 = 12 -4
Simplify
4x = 8
Divide both sdes by 4
4x/4 = 8/4
Simplify
x = 2
The line below has slope 4 and y-intercep
3. Write the equation of the line in slope
intercept form
5
Answer:
y=4x+3
y=-2x+3
Step-by-step explanation:
pog help pog pog pog pog pog pog pog pog pog
Answer:
POG
Step-by-step explanation:
poggers + poggers = POGCHAMP
Answer:
only the green and pink line repent a proportional relationship
Directions: Solve the multi-step equation showing your work!
direction: simplify the following fractions
1.6/12
2.9/15
3.8/10
4.6/14
5.8/18
Answer:
1.9/63 is the answer!!!!!
Pleeeeeeeeeeeeeeeeaaaaaaaaaaaaaasssssssssssssseeeeeeee help ASAP and giving 33 points the ma is the -2 and the 5 and t is -4 and h is -8
Answer:
-320
Step-by-step explanation:
-2×5 (-4×-8)
-10(32)
-10×32
-320
What is the equation of the line that passes through the point (-9,6) and is perpendicular to the line
y = 3x - 52
In ΔXYZ, the measure of ∠Z=90°, ZY = 4, XZ = 3, and YX = 5. What ratio represents the tangent of ∠X?
Answer:
[tex]tan\ X= \frac{4}{3}[/tex]
Step-by-step explanation:
Given
[tex]Z=90\°[/tex]
[tex]ZY = 4[/tex]
[tex]XZ = 3[/tex]
[tex]YX = 5[/tex]
Required
Determine tan x
This question can be illustrated using the attached image
Tan of an angle is calculated as:
[tex]tan \theta = \frac{Opposite}{Adjacent}[/tex]
In this case, it is:
[tex]tan\ X= \frac{ZY}{XZ}[/tex]
Substitute values for ZY and XZ
[tex]tan\ X= \frac{4}{3}[/tex]
Hence, the required ratio is 4/3
Answer:
4/3
Step-by-step explanation:
Is 900% of 6 less than 10, greater than 10 but less than 100, or greater than 100?
Answer:
its greater than 10 but lesser than 100 because simplifying them in fractional form indeed informs u that its greater than 10
Poooo sieieoleltlrllrlr
Answer:
ol rjlrjlfjcohcoucoycl lj
Answer:
:3
Step-by-step explanation:
13.25 x 64 please awnser it's for a test and I have no idea what it is.
Answer :
13.25 x 64
=848
Answer:
453x ^64 /4
Step-by-step explanation:
find the 8th term of the geometric sequence 4, -20, 100, ...
Answer:
312500
Step-by-step explanation:
I believe the pattern is x5 x-5 x5 x-5 and if you follow that pattern, you get 312500. im sorry if im wrong
Help me answer the math
Answer: 1. 2
2. 5
3. 2
4. 2
5. 2
Step-by-step explanation:
solve for x and why please using these!!!
Answer:
[tex]x = 40[/tex]
[tex]y = 5[/tex]
Step-by-step explanation:
[tex]4x = 2x+80\\2x = 80\\x = 40[/tex]
Edit: Solve for Y
A straight line is 180 degrees so one side (the x side) is 160°, The Y side is 20, and you can work backwards by -
[tex]8y - 20 = 20\\8y = 40\\y = 5[/tex]
A goat is tied to the corner of a rectangular shed in a large field full of grass. The rope is 2 yards long and a plane view (from above) of the shed and field is shown below. Use this information for Parts A and B below.
Part A: Calculate the area of grass that the goat can eat.
Part B: What length of rope would enable the goat to eat 30 square yards of grass? Show all your reasoning.
Answer:
9.42 yd²3.57 ydStep-by-step explanation:
Part AThe area of circle with radius of 2 yd (the length of the rope) is:
A = π*r² = 3.14*2² = 12.56 yd²Since 1/4 of the circle is occupied by the shed, the area of the grass is:
12.56*3/4 = 9.42 yd²Part BLet the area be 30 yd², finding the r as per above formula:
3/4*3.14*r² = 30r² = 30*4/3*3.14r² = 12.74r = √12.74r = 3.57 ydHelp! Please!!! I seriously need this!!!!!
Answer:
it's related by product of 5/3 and directly proportional