Answer:
[tex] = (4x + 8)(2x - 12) \\ = ( {8x}^{2} - 48x + 16x - 96) \\ = (8 {x}^{2} - 32x - 96) \\ = 8( {x}^{2} - 4x + 12)[/tex]
Answer:
\begin{gathered} = (4x + 8)(2x - 12) \\ = ( {8x}^{2} - 48x + 16x - 96) \\ = (8 {x}^{2} - 32x - 96) \\ = 8( {x}^{2} - 4x + 12)\end{gathered}
=(4x+8)(2x−12)
=(8x
2
−48x+16x−96)
=(8x
2
−32x−96)
=8(x
2
−4x+12)
CAN SOMEONE HELP ME PLEASE
Answer:
2) 18
3) x = 17.5, LN = 105
Step-by-step explanation:
2) 6 + 12 = 18
3) 6x = 4x + 8 + 27
2x = 35
x = 17.5
6x = 6(17.5) = 105
Petra invests $10,800. After 4 years she has earned $3240 in interest.
At what annual rate of interest did she invest her money?
Answer:
Rate =interest*100/principal*time
Rate = 7.5%
Step-by-step explanation:
At 7.5 % annual rate of interest did she invest her money.
What is rate of interest?The percentage usually on an annual basis that is paid by the borrower to the lender for a loan of money is called rate of interest.
Given
Principal P = $10800
Time t = 4 years
I = 3240
Interest = [tex]\frac{P\times r \times t}{100}[/tex]
[tex]3240 = \frac{10800\times r \times 4}{100}[/tex]
[tex]r= \frac{3240\times 100}{10800\times 4}[/tex]
r = 7.5 %
At 7.5 % annual rate of interest did she invest her money.
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Together, Sala and Terry saved $10.00. Sala. saved D dollars. Write an expression for the amount Terry saved.
Let Terry Saved be T dollars .
The Expression will be
[tex]\\ \rm\longmapsto Sala+Terry=\$10.00[/tex]
[tex]\\ \rm\longmapsto D+T=\$10.00[/tex]
Answer:
T = 10 - S
Step-by-step explanation:
The only useful information is that they saved $10 together. We are just going to add the money Sala and Terry saved to equal 10.
S + T = 10
They want an expression for how much Terry saved so we can solve for T.
T = 10 - S
Best of Luck!
can someone help me please?
Answer:
Its 15
Step-by-step explanation:
a^15 / a^3
= a^15-3
= a^12
Use law of indices.
hcf of x^2 - y^2 + 4y - 4
Answer:
[tex](x - y + 2) \times (x + y - 2)[/tex]
Step-by-step explanation:
[tex] {x}^{2} - {y}^{2} + 4y - 4[/tex]
➡️ [tex] {x}^{2} - ( {y}^{2} - 4y + 4)[/tex]
➡️ [tex] {x}^{2} - (y - 2 {)}^{2} [/tex]
➡️ [tex](x - (y - 2)) \times (x + (y - 2))[/tex]
➡️ [tex](x - y + 2) \times (x + y - 2)[/tex]
I need help pleaseeeess
Solve for p.
8 − 4(2p − 2) = 7 + p + 9
p =
p = 0
Step-by-step explanation:[tex]8 - 4(2p - 2) = 7 + p + 9[/tex]
➡️ [tex]8 - 8p + 8 = 16 + p[/tex]
➡️ [tex]16 - 8p = 16 + p[/tex]
➡️ [tex] - 8p = p[/tex]
➡️ [tex] - 8p - p = 0[/tex]
➡️ [tex] - 9p = 0[/tex]
➡️ [tex]p = 0[/tex]
A bee flies at 10 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 18 minutes, and then flies directly back to the hive at 6
feet per second. It is away from the hive for a total of 23 minutes.
a. What equation can you use to find the distance of the flowerbed from the hive?
b. How far is the flowerbed from the hive?
Answer:
Step-by-step explanation:
d = distance from hive to flowers, in feet
flying time = 23 min - 18 min = 5 min = 300 sec
time flying to flowers = d ft × (1 sec)/(10 ft) = (d/10) sec
time flying to hive = d ft × (1 sec)/(6 ft) = (d/6) sec
d/10 + d/6 = 300 sec
:::::
d/10 + d/6 = 3d/30 +5d/30 = 8d/30 = 300
d = 300×30/8 = 1,125 ft
raise the quotient of y and 5 to the 2nd power
Answer:
I'm guessing y is numerator and 5 is denominator. so y^2/25
Step-by-step explanation:
so if you have the fraction y/5 and you need to square it or raise to the second power you get (y/5)^2. now using the properties of exponents when you get a fraction and need to raise it to a power you square the denominator and numerator which gets you y^2/25. now let's check if it works we can use 5 for y so (5/5)^2 is equal to 25/25 = 1. or (10/5)^2 which is 2^2 = 4. or 100/25 which is 4. so the equation works for the expression.
20. Your friend says the absolute value equation |2x + 9 + 7 = 3 has two solutions
because the constant on the right side of the equation is positive. Is your friend
correct? Explain.
This is an absolute value problem. In mathematics, absolute value is simply defined as the distance of a number from zero on the number line, irrespective of the direction on either side of zero.
In the absolute value given which is; |2x + 9| = -4, we can see that there is an absolute value when the right hand side is negative and not when it is only positive.
Thus, the friend is not correct.We are given the equation;
|2x + 9| + 7 = 3
Now when dealing with absolute values, it means that the solution is either positive or negative.
For example;
|x| = 5 means that x = +5 or -5
Thus in this question, let us first of all simplify the equation to get;
|2x + 9| = 3 - 7
|2x + 9| = -4
From |2x + 9| = -4, we can see that there is an absolute value when the right hand side is negative and not when it is only positive.
Thus, the friend is not correct.
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Use the substitution method to solve the system of equations. Choose the correct ordered pair. y=6x-4 y=7x-7 A. (4, 18) B. (5, 9) C. (3, 14) D. (2, 11)
Answer:
C (3,14)
Step-by-step explanation:
y=6x-4
y=7x-7
6x-4=7x-7
-x=-3
x=3
y=6*3-4=14
Arrange 7/ 10 , 3/5 , 17/ 20 , 11/ 15 in descending order
Answer:
17/20 , 11/15 , 7/10 , 3/5
at 1pm the level of water in the pool was 8 feet at 4pm the level of water was 2 feet find the constant rate of change of the water.
Answer:
2 feet
Step-by-step explanation:
1 pm = 8ft
2pm = 6ft The rate of change is 2
3pm = 4ft
4pm = 2ft
How to do this? Please help
Step-by-step explanation:
This equations are quadratic equations, which is on standard form,
[tex] {ax}^{2} + bx + c[/tex]
where a is the leading coefficient, b is the second coefficient, and c is the constant.
Both a and b are in quadratic equation so we need to find the constant separately.
Both sides are equal to zero so we can just subtract the terms not containing a or b in them to the opposite side.
[tex] {x}^{2} - 4 x + a = 0[/tex]
[tex] {x}^{2} + a = 4x[/tex]
[tex]a = - {x}^{2} + 4x[/tex]
For b,
[tex]2 {x}^{2} - 6x + b + 7 = 0[/tex]
[tex] - 6x + b + 7 = - 2 {x}^{2} [/tex]
[tex]b + 7 = - 2 {x}^{2} + 6x[/tex]
[tex]b = - 2 {x}^{2} + 6x - 7[/tex]
|x|-5 what does the vertical bar means?
Answer:
it means absolute valuen so anything inside becomes a positve.
Step-by-step explanation:
I need help with 18-27
Answer:
18-27= 01
Step-by-step explanation:
18
-27
---------
01
the one cancels out
Please help me with this question
Answer:
-15c
Step-by-step explanation:
I'm sorry for not being able to explain but im sure that ma answer is correct.
Evaluate the equation.
193b = 212.3
A. b = 40,973.9
B. b = 40,873.9
C. b = 1.1
D. b = 0.9
Answer:
C
Step-by-step explanation:
193b=212.3
193b/193=212.3/193
(divide by 193 to get the value of b)
193 cancels 193
b= 1.098445596
(round off to one decimal place)
b=1.1
Hope its helps ❤️
What is the solution to the equation 1/4x - 1/8 = 7/8 + 1/2x ?
A. x = -5
B. x = -4
C. x = 4
D. x = 5
Hey there! I'm happy to help!
We want to get all of the variables on the left side and all of the numbers on the right side. This will allow our variable to be isolated so we can see what it is equal to.
1/4x - 1/8 = 7/8 + 1/2x
We add 1/8 to both sides.
1/4x=1+1/2x
We subtract 1/2x from both sides.
-1/4x=1
We divide both sides by -1/4 (same thing as multiplying -4).
B. x=-4
Have a wonderful day and keep on learning! :D
Which expression has the same value as -5, + (-4)?
Submit Answer
0 -5 8 3 - 4 2 3
O 4; -(-5%)
O 5+(-4)
O-52-(-41)
The diameter of a regulation soccer ball is about 85 inches. This number was graphed on a number line.
g the graph of the diameter of the ball?
Answer:
Point D
8 3/5 = 40+3= 43
43÷5 = 8,6
........
Please help I only have 15 minutes to complete this last one
Answer:
the slope of MN= -5-1/3-(-6)=-2/3
two lines are parallel>> slopes are equal
equation of line = (y-y'=m(x-x'))
therefore, y-1= -2/3(x-6)
y-1 = -2/3x + 4
y+2/3x=5
Erik bought a mattress that was marked down 70% from an original price of $500. If the sales tax in Oak Grove is 8%, what was the total cost of the mattress?
Answer:
Btw the result are this: 70% = 0.7500 = 0.78% = 0.08 In Oak Grove
Step-by-step explanation:
The total cost of the mattress is $162 after markdown 70% and sales tax 8%
Given :
Erik bought a mattress that was marked down 70% from an original price of $500
Original price is 500 dollars
marked down that is discount percentage is 70%
Lets find the discount amount using original price
markdown percentage times original price
[tex]discount = \frac{70}{100} \cdot 500=350[/tex]
cost of mattress after discount is 500-350= 150 dollars
sales tax is 8%
now we find the tax amount for 150 dollars
[tex]tax=150 \cdot \frac{8}{100} \\tax = 12[/tex]
tax is 12 dollars
the total cost of the mattress= cost of mattress +tax
the total cost of the mattress=150+12=162
the total cost of the mattress is $162
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Finding number of x
X+7=3
Answer:
x=3-7
x=-4
this was your answer
Answer:
x = -4
Step-by-step explanation:
Use inverse operations to solve the given equation,
x + 7 = 3
(Subtract (7) from both sides,
x + 7 - 7 = 3 - 7
Simplify,
x = -4
Find FH? this is 10th-grade geometry
Answer:
7
plss mark me brainlestt
Step-by-step explanation:
22-15=7
A line segment is also a line but a line with finite length and fixed endpoints. The length of the line segment FH is 7 units.
What are a line and line segment?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
A line segment is also a line but a line with finite length and fixed endpoints.
Given that the length of the line segment HG is 15 units and the length of line segment FG is 22 units.
Since the line segment, FG is made from FH and HG. Therefore, we can write,
FG = FH + HG
22 units = FH + 15 units
FH = 22 units - 15 units
FH = 7 units
Hence, the length of the line segment FH is 7 units.
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30POINTS
Two functions, A and B, are described as follows:
Function A
y = 8x + 3
Function B
The rate of change is 1 and the y-intercept is 4.
How much more is the rate of change of function A than the slope of function B?
1
7
8
9
what is the value 36x-8y to the second power when x=3 and y= -6?
Answer:
If they do , then the values of y yo does not satisfy R ' = 0 , : ' y is ... be an equation of the second degree , - R ' = ( - 3 y ' + 8y - 5y ) x + 2y + + ...
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Recent problems solved by 'mrduffner' - See tutors' answers!
3. Again combine. +3x+%2B+8=+-x+-+8+ 4. Isolate the variable. +2x+=+-16+ 5. Divide & solve. x+=+-8 ... Y to the second power is just that, y%5E2 .
IT IS ONE
School for Jan started at 9.00 a.m. and finishes at 3.00 p.m. If Jan knew she was 2∕3
of the way through the school day, what time was it then? Put in either am or pm
Answer:
it's 1 pm
you have to count the hours between 9 am and 3 pm = 6 then you divide 6 by 3 = 2 then 2*2= 4
plz help. show work too
Answer:
56mm²
Step-by-step explanation:
i will appreciate if u give brainliests, thanks
7−2t≤21 write the solution in
Answer:
t≥-7
Step-by-step explanation:
7−2t≤21
Subtract 7 from each side
7-7−2t≤21-7
−2t≤14
Divide each side by -2, remember to flip the inequality
-2t/-2 ≥14/-2
t≥-7