Answer:
Step-by-step explanation:
(a + b)² =a² + 2ab + b²
(a -b)² = a² - 2ab + b²
1) y = (x -1)²
y= x² - 2*x*1 + 1
y = x² - 2x + 1
Ans: C
2)y = (x +4)² + 5
y = x² +2*x*4 + 4² + 5
= x² + 8x + 16 + 5
y = x² + 8x + 21
C
3) y = -(x + 9)²- 10
y = - [x² + 18x + 81] - 10
= -x² - 18x - 81 - 10
y =-x² - 18x - 91
B
4) y = 3(x + 2)² - 18
y =3 [x² + 4x + 4] - 18
y = 3x² + 12x + 12 - 18
y =3x² + 12x - 6
A
5) y = -2(x + 1)² - 16
= -2[x² + 2x + 1] -16
= -2x² - 4x - 2 - 16
y = -2x² - 4x - 18
A
6) y = 5(x + 5)²
=5[x²+ 10x + 25]
y = 5x² +50x + 125
A
7)y = (1/2)(x + 8)² - 8
y = (1/2) (x² + 16x + 64) - 8
[tex]y = \dfrac{1}{2}*x^{2}+ \dfrac{1}{2}*16x + \dfrac{1}{2}*64 -8\\\\\\y =\dfrac{1}{2}x^{2}+8x +32 - 8\\\\\\y=\dfrac{1}{2}x^{2} +8x + 24[/tex]
A
8) y = (x + 3/2)² + 3/4
[tex]y = x^{2} +2*x*\dfrac{3}{2}+\dfrac{9}{4}+\dfrac{3}{4}\\\\y=x^{2}+3x+\dfrac{12}{4}\\\\\\y=x^{2}+3x + 3[/tex]
C
9) y = 2[x² + 16x + 64] - 5x
y = 2x² + 32x + 64 - 5x
y =2x² + 27x + 6
can some one help me pleaseeee :(
a) 5/8
b) 3/5
Hope this helps
A triangle has sides with lengths of 16 meters, 7 meters, and 12 meters. Is it a right triangle?
1) 6 hats cost $67.50
What's the cost per hat?
Answer:
11.25
Step-by-step explanation:
I divided 67.50 by 6 and it got me the answer 11.25
easy one for you folks.
Answer:
2/5
Step-by-step explanation:
Six out of 15 are full.
[tex]\dfrac{6}{15}=\dfrac{2*3}{5*3}=\dfrac{2}{5}[/tex]
A coat is on sale for $76. The tax is 8%. What Is the amount of tax
Answer:
The amount of tax is: 6.08
The total of the coat is: 82.08
Step-by-step explanation:
:))
Please help meee
Complete each statement. Explain why
it is true.
Answer:
It is true because it is true.
Step-by-step explanation:
Why else would it be false?
divide $70 into the ratio of 2:7: 1
Answer:
$14:$49:$7
Step-by-step explanation:
To solve this question you first add the ratios.
So 2+7+1, which is 10. You then take this number and divide it by 70 to find 1 part. 70 divide by 10 is 7, which represents 1 part.
7 times by 2 is 14, 7 times by 7 is 49 and 7 times by 1 is 7.
Thus you get the ratio, $14:$49:$7.
And if you add 14+49+7, you get 70!
What is the slope and y-intercept of the equation 3x + 2y + 18 = 0
Answer:
Slope: -3/2
Y-Intercept: (0,-9)
Step-by-step explanation:
The! width! of! a! rectangular! box! is!2cm!less! than! its! length.! The! height! of! the! box!is!8cm.!Which
Answer:
Step-by-step explanation:
find the area of the largest square that can be cut from a circle of radius 18
Answer:
approx 161.3 square units
Step-by-step explanation:
the circle can contain 4 isosceles triangles with legs equal to 9 and hypotenuse equal to approximately 12.7
these four triangles would produce a square with sides of 12.7 units
so area would be 12.7² or approx 161.3 square units
Use the following function rule to find f(0).
f(x) = 5^x− 4
f(0) =
Answer:
-3
Step-by-step explanation:
Using the remainder and the factor theorem
5⁰-4
1-4
-3
What is 66% of 350? helpp
Answer:
231
Step-by-step explanation:
Answer:
Write 66% as
66/100
Since, finding the fraction of a number is same as multiplying the fraction with the number, we have
66/100
of 350 =
66/100× 350
Therefore, the answer is 231
If you are using a calculator, simply enter 66÷100×350 which will give you 231 as the answer.
Step-by-step explanation:
There are 8 math classes in 7th grade. Seven are equally sized and the 8th class has 32 students. If there are a total of 221 in the 7th grade, how many are in each of the equally sized bath class?
Answer:
27
Step-by-step explanation:
221-32=189189/7=27The length of a cell phone is 1.4 inches and the width is 4.6 inches. The company making the cell phone wants to make a new version whose length will be 1.68 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?
Answer:
5.52
Step-by-step explanation:
1.68/1.4=1.2*4.6=5.52
Which of the following lines have a y intercept of (0,2)? Choose all that apply
a. 3x - 7y = -14 b. y - 4 = -1/4 (x+4) c. y + 5 = 3 (x+2) d. y = -7x + 2
Answer:
A and D
Step-by-step explanation:
a.
3x - 7y = -14
-7y = -3x -14
y = 3/7x + 2
b.
y - 4 = -1/4 (x + 4)
y - 4 = -1/4x -1
y = -1/4x + 3
c.
y + 5 = 3 (x + 2)
y + 5 = 3x + 6
y = 3x + 1
d.
y = -7x + 2
Which of the following graph shows one,non or infinite solution
Answer:
No graphs????????????
Step-by-step explanation:
Erin buys 2 packs of potatoes costing £2 each, 3 packs of carrots for £3 per pack, and 3 turnips costing 60p each.
If she pays with a £20 note, how much change would she get in pounds, £
Answer:
£5.20
Step-by-step explanation:
The change is the difference between the amount tendered and the amount owed. The total amount owed is the sum of the costs for each of the items purchased.
change = £20 - 2(£2) - 3(£3) -3(£0.60) = £20 -14.80 = £5.20
Erin gets £5.20 in change.
In the given figure ef is a straight line, find the value of x
The image is not clear.
What is the value of the expression
1/4 (16 + 9)-h
when g = 4 and n = 2?
o
B)
5
OC) 3
D) 5
1/4(16+9)-2
1/4(20)-2
5-2
3
Ashley has 10 skirts in her closet.
2 skirts are blue
3 skirts are red
4 skirts are green
1 skirt is pink
Ashley randomly selects 2 skirts without replacement. The outcome of the second skirt is —
Answer:
the highest choices are red and green
help me please please please
Answer:(-2, -3)
Step-by-step explanation:
U do it then flip it upside down
I need the answers to the ones with an x by them please and thank you guys I really need this It’s home work
Answer:
Sorry I took so long, I hope I helped though
3) 2.428
5) 5.414
6) 8.29
10) 3.34
11) 42.35
12) 24.276
14) 6.777
17) 17
18) 19
19) 50.6
20) 17
26) basically add them all, I got the answer 1
27) 0.29+0.24 is 0.53
28) your answer is right, one fourth of 1 is .25, so the answer is 0.15+0.08+0.02
Demarco and Tanya have received information about three separate mortgage offers. In two or three paragraphs, describe your recommendation for the best financial choice in their situation. Evaluate each of the three offers, compare and contrast their effectiveness, and explain the offer that works best. As you explain your answer, support it using reasons and evidence from the calculations you made based on the information provided in this guide for Analyzing Mortgage Options.
Answer:
Option A would be the best option, as the payment would not change. Option B has a lower payment, but that payment is expected to rise and eventually be a bigger payment. Option C would require them to pay it off in 8 years, which would be too much based on their income and they would end up having to get another mortgage. Option C would be better if they wanted to live their temporarily, but Demarco and Tanya would like to live in their house permanently. This makes option A the best option because it is an affordable payment that will not change.
Step-by-step explanation:
The best option will be option A which will be chosen by Demarco and Tanya.
What is finance?Finance deals with the study of money, management, creation, and investments. Also, finance is divided into the following board of categories such as personal finance, corporate finance, and public finance.
The best option will be option A which will be chosen by Demarco and Tanya as the payment plan would not change in this situation.
Option B has a lower payment, but the payment is expected to increase with time and eventually be a bigger payment.
Also, option C would require them to pay it off in 8 years but both of them want to live permanently not separately. Therefore, the best option to choose will be option A.
So, The best option will be option A which will be chosen by Demarco and Tanya.
Learn more about finances;
brainly.com/question/9851444
there are 15 pieces of fruit in a bowl and 6 of them are oranges.what is the percenage of fruits are in oranges
Hi there!
We can find the percentage by expressing the amount of oranges to total fruits as a fraction:
[tex]\text{ oranges to total fruit} = \frac{\text{x Oranges}}{\text{ y total pieces of fruit}}[/tex]
Plug in the given values:
[tex]\text{ oranges : total fruit} = \frac{\text{6}}{\text{15}} = 0.4[/tex]
Convert to a percentage by multiplying by 100:
0.4 × 100 = 40%.
[tex]\boxed{\text{40\% of total pieces of fruit are oranges}}[/tex]
If PM = 6x + 7 and PN = 12x – 5. Find the length of PL.
Answer:
Step-by-step explanation:
6x+y=88-6. 4=2x-6. 10=2x. (X=5. 14 pm = PN =PL. 4X+7=12x-5. 7=88-5.
What’s the value of x in this equation?
Answer:
20
Step-by-step explanation
trust me
Answer:
x = 20
Step-by-step explanation:
(5x + 35) + 45 = 180
These angles are opposites to each other so you know that together they equal 180.
Start off by adding 35 and 45. This gives you...
5x + 80 = 180
Then subtract by 80 giving you...
5x = 100
Then divide by 5. This gives you...
x = 20
I hope that this helps!!!
What is the slope of the line in the graph?
Answer:
1
Step-by-step explanation:
Pick two points on the line
(0,1) and (1,2)
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 2-1)/(1-0)
= 1/1
=1
Which expressions simplify to 0? Check all that apply.
8g – 8g
(–2g) – 2g
5g + (–5g)
One-half g + one-half g
Negative two-thirds g + two-thirds g
The expressions that simplify to zero are:
8g – 8g
5g + (–5g)
Negative two-thirds g + two-thirds g
Let us consider each of the expressions to determine the ones that simplify to zero (0)
For 8g - 8g
This is a direct subtraction of terms of the same value. Therefore, 8g - 8g = 0
For (–2g) – 2g
This can be further simplified as -2g - 2g = -4g
Therefore, (–2g) – 2g does not simplify to zero
For One-half g + one-half g
This can be written mathematically as:
[tex]\frac{1}{2}g + \frac{1}{2}g = g[/tex]
Therefore, One-half g + one-half g does not simplify to zero
Negative two-thirds g + two-thirds g
[tex]-\frac{2}{3}g+ \frac{2}{3}g = 0[/tex]
Therefore, Negative two-thirds g + two-thirds g simplifies to zero
Learn more here: https://brainly.com/question/25702685
Answer:
A , C , E :)
Step-by-step explanation:
How would I graph this?: 3x + 9y = −18
Answer:
take value of x as 0 so
9y=-18 y =-18/9
y=-2
(0,-2)
same take y equal 0
What is an objective summary?
a bulleted list of all the important ideas and events in a text in an order that reveals the theme
a bulleted list of all the important ideas and events in a text in an order that reveals the theme
a shorter version of a text that helps readers decide whether they want to read the text
a shorter version of a text that helps readers decide whether they want to read the text
a version of a text that leaves out all the descriptive details in order to highlight the most important ideas
a version of a text that leaves out all the descriptive details in order to highlight the most important ideas
a shortened version of a text that includes the most important events, ideas, and details without a reader’s opinion
a shortened version of a text that includes the most important events, ideas, and details without a reader’s opinion
Answer:
A shortened version of a text that includes the most important events, ideas, and details without a reader’s opinion
Step-by-step explanation:
Summaries are used to quickly explains what the text is about. They include key details that express important facts, not opinions.