Answers
Answer:
-1
Step-by-step explanation:
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Related Questions
find the values if a and b such that x squared + 2x -7 = (x+a) squared + b
Answers
Given:
[tex]x^2+2x-7=(x+a)^2+b[/tex]
To find:
The values of a and b.
Solution:
We have,
[tex]x^2+2x-7=(x+a)^2+b[/tex]
It can be written as
[tex](x^2+2x)-7=(x+a)^2+b[/tex]
Add and subtract square of half of coefficient of x in the parenthesis.
[tex](x^2+2x+(\dfrac{2}{2})^2-(\dfrac{2}{2})^2)-7=(x+a)^2+b[/tex]
[tex](x^2+2x+1^2)-1-7=(x+a)^2+b[/tex]
[tex](x+1)^2-8=(x+a)^2+b[/tex] [tex][\because (x+y)^2=x^2+2xy+y^2][/tex]
[tex](x+1)^2+(-8)=(x+a)^2+b[/tex]
On comparing both sides, we get
[tex]a=1[/tex]
[tex]b=-8[/tex]
Therefore, the value of a is 1 and the value of b is -8.
ok yall I really need help with this!
Answers
Answer:
25
Step-by-step explanation:
PEMDAS
Answer:
sqrt 63 = sqrt9 * sqrt7
= 3 sqrt7
Step-by-step explanation: i probally did it wrong :(
If OB= 2x+1 and
BR = 3x-10 then OR=
Answers
Answer:
Wish i could help you rock
Step-by-step explanation:
Answer:
5x-9
Step-by-step explanation:
Combine like terms.
can someone please help....please & thank you.
Answers
Answer:
C
Step-by-step explanation:
Answer:
1. m<13
2. x≥1
3. p>-3
Step-by-step explanation:
1. m-7<6
Add seven to both sides
m<13
2. x+4.5≥5.5
subtract 4.5 from both sides
x≥1
3. p+12>9
subtract 12 from both sides
p>-3
what’s the correct answer, please
Answers
Answer:
D?
Step-by-step explanation:
syeda has finished 20% of her math
Answers
Answer:
woooohooooo for seyda
Step-by-step explanation:
yay for syeda wohooo
5 trays with 90 ice cubes
Answers
Answer:
450
Step-by-step explanation:
90 ice cubes time 5 trays equals a total of 450 ice cubes
Josh is ordering an ice cream dessert. He must order a size, a flavor of ice cream, and a topping. There are 3 sizes, 2 flavors, and 2 toppings to choose
from. How many different ice cream desserts could he order?
Answers
Step-by-step explanation:
So if there are 3 sizes, 2 flavors and 2 Toppings to choose from, then there are
3 * 2 * 2 possible combinations
For example:
S = 3 sizes
F = 2 flavours
T = 2 toppings
Then there are 3 * 2 * 2 = 12 possible combinations
james and joseph want to buy a book. James is short of $2.40 and joeeph is short of $3.60. They are able to buy the book when they pool their money. How much does the book cost?
Answers
The book costs $6.
If [tex]\sf a = log_92[/tex] and [tex]\sf b = log_54[/tex], find [tex]\sf log_615[/tex] in terms of a and b.
Answers
Answer:
(4a + b)/(2ab + b)Step-by-step explanation:
Givena = log9 2b = log5 4To findlog6 15 in terms of a and bSolutionRewrite the given
log9 2 = a ⇒ log2/log9 = a ⇒ 1/2*log2/log3 = a ⇒ log3 = 1/2*log2/alog5 4 = b ⇒ log4/log5 = b ⇒ log5 = 2*log2/bRewriting the log6 15:
log6 15 = log15/log6= (log 5 + log3)/(log2 + log3)Substitute as follows:
(log 5 + log3)/(log2 + log3) =(2*log2/b + 1/2*log2/a)/(log2 + 1/2*log2/a) =(2/b + 1/(2a))/(1 + 1/(2a)) =(4a + b)/2ab ÷ (2a + 1)/2a =(4a + b)/(2ab + b)To purchase $12,300 worth of machinery for her business, Lucy made a down payment of $1,500 and took out a business loan for the rest. After 3 years of paying monthly payments of $328.57, she finally paid off the loan.
(a) What was the total amount Lucy ended up paying for the machinery (including the down payment and monthly payments)?
(b) How much interest did Lucy pay on the loan?
Answers
Answer:
3% to as high as 80%
Step-by-step explanation:
A can of green spray paint is held upright 8 inches away from a wall. The nozzle on the
spray paint creates an angle of 50° as it spreads paint out. When the paint lands on the
wall (as the can is held steady) it makes the shape of a circle. What will the approximate
area of the circle be? Round your answer to the nearest hundredths of a square inch.
,500
Spray Paint
Answers
Answer:
500
Step-by-step explanation:
x2+x2+x2 and 4x2 equivalent when x = 3? Explain please
Answers
Answer:
Step-by-step explanation:
if you mean x^2+x^2+x^2=3x^2
if x=3, we have 3*3^2=3*9=27
4x^2=4*3^2=4*9=36
What term best describes the expression x + 3?
Binomial
Not a polynomial
Monomial
Trinomial
Answers
WILL MARK BRAINLY! The population of a particular city is given by the function P(t) = 82,100(1.02), where t is the time in years and P(t) is the population after t years. What is the current population, the percentage growth rate, and the population size (rounded to the nearest whole person) after 15 years?
Hint: Percentage Growth Rate = r × 100 in A= A0(1 + r)^t
○ 82,100, 2% semiannually, 110,658
○ 82,100, 10.2% annually, 352,425
○ 82,100, 2% annually, 110,496
○ 82,100, 20% semiannually, 985,200
Answers
Answer:
P(t) = 82,100(1.02)^t
1.t is the time in years
2.P(t) is the population after t years
3. 100%=1 102-100=2% so the interest rate is 2 %
102%=1.02
4. after 15 year just put in term s of 't' (wich is represent the years) 15 :
Step-by-step explanation:
Answer:
82,100, 2% annually, and 110,496
Step-by-step explanation:
took the thing ya know
18 divide by 2 * 3/5-2 simplify show all work
Answers
Answer:
9
Step-by-step explanation:
I would guess it looks like this - if not then tell me
[tex] \frac{18}{ \frac{2 \times 3}{5 - 2} } [/tex]
2×3=6
5-2=3
Then there's only
[tex] \frac{18}{ \frac{6}{3} } [/tex]
Which is equal to
[tex] \frac{18}{1} \times \frac{3}{6} = \frac{54}{6} = \frac{9}{1} = 9[/tex]
Answer:
9 or 3 2/5Step-by-step explanation:
There are two scenarios, (5 - 2) in denominator and 5 in denominator as it is not clear. Solving both:
18/2*3/(5 - 2) =9*3/3 = 9*1 =9------------------------
18/2*3/5 - 2 =9*3/5 - 2=27/5 - 2 =17/5 =3 2/5Henry bought 4 pies, which he plans to share with a group of his friends. If there is exactly enough to give each
member of the group one-sixth of the pie, how many people are in the group?
Answers
Answer:
Step-by-step explanation:
4 pies.. cut into 6 slices each.. is 4 *6 = 24
Answer:
24 people
Step-by-step explanation:
Find the median of the numbers in the following list
36,26,22,39,25,37,32,24,46,22,28
Answers
Median = 37
Due to the number sequence being an odd number (11 numbers) the median is equal to 37, as there is five numbers that lead up to it.
Answer:
The median is 37Step-by-step explanation:
I hope it helps ❤❤PLEASE HELP ME ASAP ITS TIMED
Answers
Answer:
The solution is (2, 1).
All other ordered pairs do not work.
Step-by-step explanation:
-2x + 5y = 1
5x - 3y = 7
-10x + 25y = 5
10x - 6y = 14
19y = 19
y = 1
5x - 3(1) = 7
5x = 10
x = 2
(2, 1)
The solution is (2, 1).
All other ordered pairs do not work.
Write each fraction as a decimal Use abar as needed.
Please help! Give me answers!
Answers
Answer:
9/20 = 0.45
3/10 = 0.3
7/12 = 0.5833333
4/5 = 0.8
2/3 = 0.66667
5/6 = 1.6667
1/6 = 0.16667
15/16 = 0.9375
2/15 = 0.13333
4/11 = 0.3636
5/8 = 0.625
13 / 16 = 0.8125
3/25 = 0.12
4/9 = 0.4444
8/9 = 0.88889
11/16 = 0.6895
14 / 25 = 0.56
11/15 = 0.7333
Step-by-step explanation:
9/20 = 0.45
3/10 = 0.3
7/12 = 0.5833333
4/5 = 0.8
2/3 = 0.66667
5/6 = 1.6667
1/6 = 0.16667
15/16 = 0.9375
2/15 = 0.13333
4/11 = 0.3636
5/8 = 0.625
13 / 16 = 0.8125
3/25 = 0.12
4/9 = 0.4444
8/9 = 0.88889
11/16 = 0.6895
14 / 25 = 0.56
11/15 = 0.7333
Find the unit rate.
486 games every 3 seasons
Answers
Answer:
162 each season
Step-by-step explanation:
Answer:
The unit rate is 162 games per season
Step-by-step explanation:
What is the reference angle for the angle with measure −π4?
A 7π4
B π
C π4
D −7π4
Answers
Answer:
What is the reference angle for the angle with measure −π/4?
Answer: n/4
pie/4
Step-by-step explanation:
I just took the test lol the other answer is wrong.
Answer:
π/4
I took the quiz
When the slope of a line is negative what trasformation is seen in relation to the parent function y=x
Answers
Answer:
y=-x, that would be the 'parent function'
for a negative linear equation
Step-by-step explanation:
Ann has to make payments twice a year on her health insurance. If each payment is $2,316, how much money should she budget for health insurance each month? Round to the nearest dollar. A. $579 B. $386 C. $1,158 D. $193
Answers
Answer:
$386
Step-by-step explanation:
If Ann has to pay $2316 twice a year
(every 6 months), then, we calculate
$2316/6 = $386 every month.
Hence, Ann's budget for health
insurance each month is $386.
Hope it helps!
if ABC ~ XYZ fi d XY. A 20. B 21. C 24. D not possible
Answers
Answer:
Choice D: not possible
Step-by-step explanation:
The reason why it's not possible is that when you try to make an equation it never comes out correct. You could also try plugging in the numbers then figure it out that way. It's not possible either way you do it.
Solve |x + 1| = 3 Question 12 options: A) x = 3 or x = 2 B) x = 4 C) No solutions D) x = –4 or x = 2
Answers
Answer:
x=2
x=-4
Step-by-step explanation:
[tex] |x + 1| = 3[/tex]
[tex]x + 1 = 3 \\ x + 1 = - 3[/tex]
therefore
[tex]x = 2 \\ x = - 4[/tex]
The phases of the moon are caused by:
A) tilt of the earth
b) tilt of the moon
c) revolution of the earth around the sun
d) revolution of the moon around the earth
Answers
Answer:
The moon's phases are caused by the changing angles of the earth's shadows and reflected sunlight as the moon revolves around the Earth over the course of about 1 month (28 days). An imaginary line where the Earth is tilted.
Answer:
b. tilt of moon
Step-by-step explanation:
it would be the same reason we get our season because the moon is not directly on its vertical axis
Please Help! I will give brainliest!
Answers
Answer:
D
Step-by-step explanation:
how do i do this pls help me
standard form (ax + by = c) to slope-intercept form (y = mx + b)
x-7y= -49 (ANSWER?)
Answers
Answer:
[tex]y = \frac{1}{7} x + 7[/tex]
Step-by-step explanation:
x-7y = -49
i) move x to the right-hand side and change its sign
-7y = -49-x
ii) change the signs on both sides of the equation
7y = 49+x
iii) divide both sides of the equation by 7
[tex] \frac{7y}{7} = \frac{49}{7} + \frac{x}{7} [/tex]
[tex]y = 7 + \frac{1}{7} x[/tex]
iv) use the commutative property to reorder the terms
* commutative property: a+b = b+a
[tex]y = \frac{1}{7} x + 7[/tex]
Rachel and David were shopping for holiday gifts when they noticed a Thanksgiving sweater on the discount rack. Rachel really wanted the sweater, even though she wouldn’t be wearing it until Thanksgiving of 2021! Part A: If the original price of the sweater was $24.00, and the sweater is on sale for 60% off, what is the sale price?
Answers
Answer:
[tex]Sales\ Price = \$9.60[/tex]
Step-by-step explanation:
Given
[tex]Price = \$24.00[/tex]
[tex]Discount = 60\%[/tex]
Required
Determine the sales price
First, we calculate the discount price
[tex]Discount\ Price = Price * Discount[/tex]
[tex]Discount\ Price = \$24.00 * 60\%[/tex]
[tex]Discount\ Price = \$14.4[/tex]
The sales price is then calculated by subtracting the discount price from the original price of the item
[tex]Sales\ Price = Price - Discount\ Price[/tex]
[tex]Sales\ Price = \$24.00 - \$14.40[/tex]
[tex]Sales\ Price = \$9.60[/tex]