Answer:
C. is the correct option
C. The student did not distribute 3 in * (2 ^ 3) ^ (x + 3) x + 3
and x = - 14
Step-by-step explanation:
8 ^ (x + 3) = 2 ^ (2x - 5)
Here is how the student solved the equation
8 ^ (x + 3) = 2 ^ (2x - 5)
8 ^ (x + 3) = 2 ^ (2x - 5)
(2 ^ 3) ^ (x + 3) = 2 ^ (2x - 5)
2 ^ (3x + 3) = 2 ^ (2x - 5) ----- This is where the student made the error.
The student did not distribute 3 in * (2 ^ 3) ^ (x + 3).
This is how to solve the equation
8 ^ (x + 3) = 2 ^ (2x - 5)
8 ^ (x + 3) = 2 ^ (2x - 5)
(2 ^ 3) ^ (x + 3) = 2 ^ (2x - 5)
Then, we will 3 distribute in (2 ^ 3) ^ (x + 3), so that we get
2 ^ (3x +9) = 2 ^ (2x -5)
Since the bases on both sides of the equation are equal, we can equate the powers so that we get
(3x +9) = (2x -5)
Then we will collect like terms
3x - 2x = -5 -9
∴ x = -14
This solution could be better written in this format
[tex]8^{x+3} = 2^{2x-5} \\2^{3} ^{(x+3)} = 2^{2x-5}\\2^{(3x+9)} = 2^{2x-5}\\{(3x+9)} = {2x-5} \\3x-2x= -5-9\\x = -14[/tex]
9. In City A, the temperature rises 9 from 8 A.M. to 9 A.M. Then the temperature drops 8 from 9 A.M. to 10 A.M. In City B, the temperature drops 5º from 8 A.M. to 9 A.M. Then the temperature drops 4º from 9 A.M. to 10 A.M.
a. What expression represents the change in temperature for City A?
b. What integer represents the change in temperature for City A?
c. What expression represents the change in temperature for City B?
d. What integer represents the change in temperature for City B?
e. Which city has the greater change in temperature from 8 A.M. to 10 A.M.? 10.
The expression for temperature change in City A is 9 + (-8)
The amount the temperature changes for City A = 1°F
The expression for temperature change in City B is -1 + (-3) = -4°F
The amount the temperature changes for City B = -4°F
Calculations and ParametersBased on the available data:
In City A, the temperature rise from 8 am to 9 am = 9°FIn City A, the temperature drop from 9 am to 10 am = 8°FIn City B, the temperature drop from 8 am to 9 am = 1°FIn City B, the temperature drop from 9 am to 10 am = 3°FThe expression for that represents the temperature change from 8 am to 10 am is, therefore;
For City AThe temperature change from 8 am to 10 am are
8 am to 9 am = +9°F9 am to 10 am = -8°FSum, change from 8 am to 10 am = 9 + (-8) = 1°F
For City BThe temperature change from 8 am to 10 am are
8 am to 9 am = -1°F9 am to 10 am = -3°FSum, change from 8 am to 10 am = -1 + (-3) = -4°F
Read more about temperature changes here:
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Two trucks leave a factory at the same time. One travels east at 60 miles per hour, and the other travels west at 30 miles per hour. In how many hours will they be 150 miles apart? A 1-2/3 hours B 2 hours C 2-1/2 hours D 5 hours
Jake finished race at 24.53 Lacie finished the race at 18.44. What is the difference between Lacie's time and Jake's time.
Answer:
=6.09
Step-by-step explanation:
you will have to subtract lacie's amount from Jake's amount to find the answer
I’m in need of help
Answer:
Step-by-step explanation:
9. (-2, 2) (4, 3)
(3 - 2)/(4 + 2) = 1/6
10. (-2, 2) (3, 4)
(4 - 2)/(3 + 2) = 2/5
11. (3 - 13)/(0 + 16)= -10/16= -5/8
12. (-19 - 0)/(7 + 12) = -19/19= -1
List four signs that you can replace the equal sign (=) with in a linear equation to produce a linear inequality.
Answer:
>;
>__
Step-by-step explanation:
Simon and Andrew see a speed limit sign that says 65 kilometers per hour. They decide to convert this speed limit to miles per hour. They each do the conversion separately and come up with different answers. Their work is shown. Who is correct? Explain.
Answer:
40.38912735 or about 40 miles per hour (rounded to the nearest whole number)
Step-by-step explanation:
1.) You want to convert kilometers per hour to miles per hour.
2.) There are 0.62137119 miles in 1 kilometer.
3.) Multiply 65 by 0.62137119
4.) That equals 40.38912735
5.) This answer can be rounded to 40 mph.
9 POWERED C = 243 (INDICES)
9^c = 243
3^(c)*2 = 243
3^(c)*2 = 3^5
Since the bases are the same the powers can be equated.
2*c =5
c = 5/2
c = 2 1/2
Check
9^2.5 = 243
Use the ^ or y^x or x^y key
A pen costs $1.50. It costs $0.25 less than a marker. If I paid for both supplies with $5.00, what would be my change?
Answer:
tour change would me $1.75
Convert this rational number
to its decimal form and round
to the nearest thousandth.
1/7
Answer:
0.143
Step-by-step explanation:
1) convert to decimal form: 0.142857
2) rounding to nearest thousandth (3rd decimal place)
3) number is higher than 5 so it rounds up to 0.143
combining like terms with negative coefficients
4x+5y-6xy-7x-8y-9xy?
Find f(4) for the function f(x) = 3x2 + x - 6
Answer:
f(4) = 46
Step-by-step explanation:
[tex]f(x)=3x^2+x-6\\f(4)=3(4)^2+4-6\\f(4)=3(16)+4-6\\f(4)=48+4-6\\f(4)=52-6\\f(4)=46[/tex]
18 over 30 in its simplest form
Answer:
3/5
Step-by-step explanation:
18/ 30 can be simplified by diving it by 3
6/10 simplified again by 2
3/5
Answer: 3/5
Step-by-step explanation:
Points F, G and H are collinear. If GH = 16, what is FH?
Answer:
FH = 36 units
Step-by-step explanation:
Points F, G and H are collinear.
Therefore, by joining segments FG and GH we get a segment FH.
FH = FG + GH
By substituting the values of the segments given in the question,
FH = (3x - 1) + (2x + 2)
= 5x + 1
Since, GH = 16
2x + 2 = 16
2x = 14
x = 7
Therefore, FH = (5x + 1)
= 35 + 1
= 36 units
Measure of segment FH = 36 units.
The Price of dried mango is $9 for every 3/4 pound.
what is the price per pound of the dried mango?
$_ per lb
Answer:
12
Step-by-step explanation:
9 ÷3 =3 ×4 that is how to do the problem
Find the volume of the triangular prism
Answer:
your weight loss will help your child get through to your doctor if your child is a si and he's a doctor or 6or a child or an adult or an adult child and you can get in the way I want
order the following from least to greatest PLZ I NEED HELP!!!!
Answer:
½, √0.28, 0.58
Step-by-step explanation:
you need to first change everything into decimals so, ½ = 0.5 , √ 0.28 = 0.53 and 0.58 remains the same. Now you can arrange them from least to greatest once they are in a common form.
3.409 x 10^-3 In scientific notation.
Answer:
Since the exponent of the scientific notation is negative, move the decimal point 3 places to the left.
0.003409
someone help with my math please
Answer:
(-1, -3/2)
Step-by-step explanation:
For this question, we need to use the midpoint formula in order to find the midpoint between the 2 points given on the graph:The midpoint formula is: ((x1+x2)/2 , (y1+y2)/2)The two points that are given are (-3,1) and (1, -4)So:(x1+x2)/2 , (y1+y2)/2(-3+1)/2 , (1+(-4))/2(-2/2 , -3/2)(-1, -3/2)GEOMETRY HELP!!
Find the midpoint of AB
It’s Q right?
Answer:yes it’s q
Step-by-step explanation:
Emma took 1/4 of a whole cake to school with her. She gave equal pieces of the pie to 5 of her friends. What fraction of the whole cake did each friend get? Include if you used multiplication, division, subtraction or addition
Answer:
I think it's 1/20. I used division
Step-by-step explanation:
13. A new CD costs $13.79, plus $0.97 in sales tax. How much do 3 new CDs cost? Explain how
you found your answer.
Answer:
the cost of the three new CDs is $44.28
Step-by-step explanation:
Here in this question, we are interested in calculating the cost of 3 new CDs cost.
From the question, we already know the cost of one. The cost of three would be 3 multiplied by the cost of one.
The cost of the three excluding the sales tax = $13.79 * 3 = $41.37
The sales tax for the three pieces = 3 * $0.97 = $2.91
The cost of the three CDs including the sales tax = $41.37 + $2.91 = $44.28
2x + y - z=-7
5y- z=1
3z = 12
solve the 3x3 system
Answer:
Step-by-step explanation:
3z = 12
z = 4
5y - 4 = 1
5y = 5
y = 1
2x + 1 - 4 = -7
2x - 3 = -7
2x = -4
x = -2
(-2, 1, 4)
How many terms are in the expression? 4x+3x-2y,3y?
What type of number is -1/3
Answer:
a rational number
Step-by-step explanation:
Rational number are numbers that can be written as a fraction where both the numerator and denominator are integers. This means that both the top and bottom of the fraction are whole numbers.
simplify the following expressions ( use distributed property ) !
Answer:
2x + 2
Step-by-step explanation:
Simply distribute 2 to each of the terms (you multiply)
2(x + 1)
2x + 2
[tex]\huge\boxed{Hi!}[/tex]
The Distributive Property states that
a(b+c)=ab+ac
Let's use this to solve our math problem:
2(x+1)=2x+2
This is our final answer.
[tex]\huge\boxed{Hope\:this\:helps!}[/tex]
[tex]\huge\bold{Good\:luck!}[/tex]
[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]
solve for a.
-6a = -18
Answer:
A=3
Step-by-step explanation:
Step 1: Divide both sides by -6/
-6a/-6= -18/-6
a=3
heeeeelp Find the distance of AB if A (2, 6) and B (-5, 2).
Answer:
let A (2, 6) be (x1, y1)
B (-5, 2) be (x2, y2)
distance AB =√[(x2 - x1)² + (y2 - y1)²]
√[(-7)²+ (-4)²]
√65
what is the value of x
Answer:
[tex]45[/tex] degrees
Step-by-step explanation:
Angles on a straight line add up to 180 degrees.
Thus, [tex]x+3x=180[/tex]
[tex]4x=180[/tex]
Divide both sides by 4:
[tex]\frac{4x}{x} =\frac{180}{4}[/tex]
[tex]x=45[/tex]
Please solve both step by step I'll mark you as brainliest
Answer:
5. -5x - 1
6. -x - 4
Step-by-step explanation:
5.
Distribute (get rid of parentheses):
-5x - 1
6.
Distribute (get rid of parentheses):
-x - 4
Answer:
5. -5x - (- 1)
6. -x - (- 4)
Step-by-step explanation:
-1(5x+1) distributed property
-5x - (- 1 )
-1(x+4) same do distributed property
-x - (-4)
Help please idk how to do this
I hope this helped and have a great day.
You need to times 2/3 twice
-2/-3 * -2/3