Answers
Answer:
x = -4
Step-by-step explanation:
To solve this type of question, put the term with the exponent on one side and the numerical term on the other side
∵ -3 + [tex](8-2x)^{\frac{5}{4}}[/tex] = 29
→ Add 3 to both sides
∵ -3 + 3 + [tex](8-2x)^{\frac{5}{4}}[/tex] = 29 + 3
∴ [tex](8-2x)^{\frac{5}{4}}[/tex] = 32
→ Remember is [tex]x^{\frac{m}{n}}[/tex] = a, then x = [tex]a^{\frac{n}{m}}[/tex], that means to move the exponent
from one side to the other side reciprocal it
∴ 8 - 2x = [tex](32)^{\frac{4}{5}}[/tex]
→ Use your calculator to find the value of [tex](32)^{\frac{4}{5}}[/tex]
∵ [tex](32)^{\frac{4}{5}}[/tex] = 16
∴ 8 - 2x = 16
→ Subtract 8 from both sides
∴ 8 - 8 - 2x = 16 - 8
∴ -2x = 8
→ Divide both sides by -2
∴ x = -4
To check the solution substitute x by -4 in the left side and find its answer if it equals the right side, then the solution is right
∵ Left side ⇒ -3 + (8 - 2 × -4)[tex]^{\frac{5}{4}}[/tex] = -3 + (8 + 8)[tex]^{\frac{5}{4}}[/tex] =-3 + (16)[tex]^{\frac{5}{4}}[/tex] = -3 + 32 = 29
∵ Right side = 29
∴ The solution is right
Related Questions
what is the slope of the line that passes through the points (5 -11) and (-9 17)
Answers
(17-(-11))/(-9-5) = 28/-14 = -2
The slope is -2
Answer:
A. -2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (5, -11)
Point (-9, 17)
Step 2: Find slope m
Substitute: [tex]m=\frac{17+11}{-9-5}[/tex]Add/Subtract: [tex]m=\frac{28}{-14}[/tex]Divide: [tex]m=-2[/tex]What is the value of the function at x = -2?
(a) y=-4
(b) y=0
(c) y=2
(d) y=3
Answers
Answer:
(d) y=3
Step-by-step explanation:
To find this, look on the plane where x=-2 and find where the line itersects. It intersects at 3, so the correct answer is y=3.
Solve for w:
(w-4/9)(-2/3)= -4/5
Answers
Decimal form: 1.644444
What is the equation in standard form of the line Y equals 1 / 9 x + 5
Answers
Answer:
1/9x - y = -5
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Standard Form: Ax + By = C
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define equation
Slope-Intercept Form: y = 1/9x + 5
Step 2: Find Standard Form
Subtract 1/9x on both sides: -1/9x + y = 5Multiply -1 on both sides: 1/9x - y = -5
What is the value of y?
39
34
16
20
one of those number is the answer
Answers
Answer:
20
Step-by-step explanation:
we see here that angle RPN is 180 degrees. SPM is 90 degrees so
angle RPS + angle SPM + angle MPN = 180 degrees
(4y - 10) + 90 + y = 180
(4y - 10) + y = 90
5y - 10 = 90
5y = 100
y = 20
if the function f(x)=3x^2-5 and has the domain {-4,-3,1,5}, what is its range?
A. {4, 76, 139, 220}
B. {-29, -23, 1, 25}
C. {-2, 22, 43, 70}
D. {-17, -14, -2, 10}
Course: Algebra 1 (American 9th Grade Lvl)
Answers
Select the correct answer what is the range of the function shown in the graph?
Answers
Answer:
In the step by step
Step-by-step explanation:
Graph 1 : k(x)=(1/4)^x
Graph 2: f(x)=-(1/4)^x
Graph 3: g(x)=4^x
Graph 4: h(x)=-4^x
2.81551 nearest hundredth
Answers
2.82 is the nearest hundredth.
Hope this helps.
you have 3 bottles of lotion each bottle contains 3.78 mL 4.52 mL and 2.72 mL of lotion how much lotion do you have in total.
Answers
Answer:
11.02
Step-by-step explanation:
use a calculator? add the 3 numbers up
What is the value of x? Enter your answer in the box. x =
Z=24 Y=5 degrees X=?
Answers
Answer:
t⅝ a femal for the rest and I have no
geometry please help only if you know
1. Pick 1 or 2 Geometric Constructions to create (depending on point values) that add to 10 points.
2. You'll need paper (blank paper without lines is best, but you can do these on lined paper too), your compass, and straight edge.
3. Include any vocab for your construction.
4. Once you have completed the constructions, take a picture of your completed construction. This is how you will get your points this week!
By the way, this must be an actual construction made with your tools. I can definitely tell if you just try to draw something that looks right without using your tools!
Answers
Answer:
Bro just complete your project. That's just plagiarism.
Step-by-step explanation:
Sorry but the teacher WILL notice.
A soccer field is 180 feet wide and 240 feet long. Coach Smith wants them to run from one corner to the other corner diagonally across. What is the distance that Coach Smith wants them to run? (Round to the nearest foot)
Answers
Answer:
300ft
Step-by-step explanation:
Pythagorean Theorem
180²+240²=c²
32400+57600=c²
90,000=c²
√90,000=c
300=c
Helen spent $7.75 to purchase 23 snack-sized bags of chips c and pretzels p for a club meeting. The following system represents this solution.
{c+p=23
{0.25c+0.5p=7.75
How many of each type of snack did Helen buy?
Answers
Answer:
pretzels = 8
chips = 15
Step-by-step explanation:
{ c + p = 23
{ 1/4c + 1/2p = 7.75
Both sides * 4
c + 2p = 31
- c + p = 23
p = 31 - 23 = 8
pretzels = 8
chips = 15
50 points and brainliest help pls
Answers
Answer:
Large bucket
Step-by-step explanation:
Sugar water isnt a real life factor in dye. It just makes it sweeter.
But, since it has triple the dye, it has more and therefore darker.
Hope this helps plz hit the crown ;D
A nursery owner buys 8 panes of glass to fix some damage to his greenhouse. The 8 panes cost $18.80. Unfortunately, breaks 3 more panes while repairing the damage. What is the cost of another 3 panes of glass?
Answers
Answer:
Step-by-step explanation:
The cost of another 3 panes of glass would be
Solution:
Given, Number of panes of glass bought = 8
Cost of 8 panes of glass =
Number of broken panes of glass = 3
We have to find the cost of 3 panes of glass
By unitary method, If 8 panes of glass costs , then the cost of one pane of glass will be as follows,
Therefore, for 3 panes of glass it would be
Unitary method:
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value. In essence, this method is used to find the value of a unit from the value of a multiple, and hence the value of a multiple.
$2.35X 3= $7.05
Answer $7.05 for 3 more panes
4.(03.02)
If g(x) = 3(x - 2), find the value of x if g(x) = 6. (2 points)
12
hy 2.6
Answers
Answer:
The value of x = 4 if g(x) = 6
Step-by-step explanation:
Given the function
[tex]g(x) = 3(x - 2)[/tex]
as
[tex]g(x) = 6[/tex]
so putting the value of [tex]g(x) = 6[/tex] in the function
[tex]g(x) = 3(x - 2)[/tex]
[tex]6 = 3(x-2)[/tex]
Switch sides and divide both sides by 3
[tex]\frac{3\left(x-2\right)}{3}=\frac{6}{3}[/tex]
[tex]x-2=2[/tex]
[tex]x=4[/tex]
Therefore, the value of x = 4 if g(x) = 6
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
y=64
Step-by-step explanation:
3y /4 =48
( 3y 4 )*(4)=(48)*(4)
3y=192y
3y/3=192/3 =y=64
|2x-8| + 3 = 5 two solutions
Answers
Answer:
The two solutions are 5 and 3
Step-by-step explanation:
The equation of the absolute has two solutions because IxI = a means x = a and x = -a
Let us solve the question using this fact
∵ I2x - 8I + 3 = 5
→ Subtract 3 from both sides
∴ I2x - 8I + 3 - 5 = 5 - 3
∴ I2x - 8I = 2
By using the fact above
→ 1st solution
∵ 2x - 8 = 2
→ Add 8 to both sides
∴ 2x - 8 + 8 = 2 + 8
∴ 2x = 10
→ Divide both sides by 2 to find x
∴ x = 5
→ 2nd solution
∵ 2x - 8 = -2
→ Add 8 to both sides
∴ 2x - 8 + 8 = -2 + 8
∴ 2x = 6
→ Divide both sides by 2 to find x
∴ x = 3
∴ The two solutions are 5 and 3
Loan widuLIUSLIU Alldly ICS Recommendations Math NY Standards Seventh grade J.5 Unit rates 2NB You have prizes Elijah wrote a total of 12 pages over 4 hours. After spending 5 hours writing this week, how many pages will Elijah have written in total? Solve using unit rates. pages Submit
Answers
Answer:
15
Step-by-step explanation:
In a multiple choice examination of 20 questions, four marks are given for each correct answers and one mark is deducted for each wrong answer. There is no penalty for not attempting a question. a candidate attempts "a" questions and get "c" correct. Write down, and simplify, an expression for the candidate's total mark in terms of "a" and "c".
Answers
Step-by-step explanation:
Total no. of questions = 20
Marks given for a correct answer = 4
Marks deducted for a wrong answer = 1
No. of questions attended by the candidate = a
No. of questions the candidate gets correct = c
No. of questions the candidate gets wrong = a - c
Marks obtained for correct answers = 4c
Marks deducted for wrong answers = 1 (a - c)
Total marks scored by the candidate =
Marks obtained for correct answers - Marks deducted for wrong answers
Total marks scored by the candidate = 4c - 1 (a - c)
= 4c - a + c
= 5c - a
(8x+2+(-9x+6) combine terms with varibiles plz help
Answers
Answer:
-x + 8
General Formulas and Concepts:
Algebra I
Combining like termsStep-by-step explanation:
Step 1: Define expression
(8x + 2) + (-9x + 6)
Step 2: Simplify
Combine like terms (x): -x + 2 + 6Combine like terms (Z): -x + 8Which of the following equations represents the graph shown?
A.)f( x) = - x - 2
B.)f( x) = x + 2
C.)f( x) = - x + 2
Answers
Answer:
C
Step-by-step explanation:
Looking at the graph, we can see that the graph crosses the y-axis at y=2.
Hence, our y-intercept should be 2.
Therefore, we can eliminate A.
We also notice that the graph is downwards sloping.
Therefore, our slope is negative.
So, we can eliminate B.
Therefore, our answer must be C.
Answer:
C
Step-by-step explanation:
I have the same question and my answer was right
The expression 36 ÷ 6 · 2 + 1 is equal to _____.
Answers
Step-by-step explanation:
13 is the answer is the you
Answer:
13
Step-by-step explanation:
The expression 36 ÷ 6 · 2 + 1 is equal to 13!
What is the solution to the system of linear equations graphed below? On a coordinate plane, 2 lines intersect at (3.5, negative 4). (3 and one-half, negative 4) (Negative 4, 3 and one-half) (0, 3) (0, negative 4)
Answers
Answer:
Step-by-step explanation:
the answer is C just did the quiz
Answer:
its D i got it right on edge if there are any probs just tell me and i ll edit mark me brainleiest and hart and five stars please
Step-by-step explanation:
At a grocery store, the price of 3 cans of soup is $6.90. at this rate, how much would 10 cans of soup cost
Answers
Answer:
$23
Step-by-step explanation:
At a grocery store 3 cans of soup cost $6.90
3 cans = 6.90
1 can= 6.90/3
1 can = $2.3
Therefore the cost of 10 cans can be calculated as follows
1 can= $2.3
10 cans= 10×2.3
= $23
Hence 10 cans will cost $23
how to solve 9x-2 × 27x=3
[tex] { {9}^{} }^{ x - 2 } .27 {}^{x} = 3[/tex]
Answers
Answer:
x = 1
Step-by-step explanation:
Using the rules of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]
Note that 9 = 3² and 27 = 3³ , thus
[tex]9^{x-2}[/tex] × [tex]27^{x}[/tex]
= [tex](3^2)^{x-2}[/tex] × [tex](3^3)^{x}[/tex]
= [tex]3^{2x-4}[/tex] × [tex]3^{3x}[/tex]
= [tex]3^{(2x-4+3x)}[/tex]
= [tex]3^{5x-4}[/tex] , then
[tex]3^{5x-4}[/tex] = [tex]3^{1}[/tex]
Since the bases on both sides are equal, equate the exponents
5x - 4 = 1 ( add 4 to both sides )
5x = 5 ( divide both sides by 5 )
x = 1
Compare ratios and rates by finding equivalent ratios and rates with a common (select) . Make predictions by finding a common factor and multiplying by it.
Answers
Answer:
Second termCommon factorStep-by-step explanation:
Compare ratios and rates by finding equivalent ratios and rates with a common second term . Make predictions by finding a common factor and multiplying by it.
To compare ratios and rates favorably we need to find a common second term also to make predictions as well we need to find a common factor
Which deal is a better buy? How do you know? True-Mart is advertising a back-to-school sale on pencils. A pack of 30 sells for $7.97, whereas a 12 pack of the same pencils cost $4.77
Answers
Answer:
a pack of 30 is a better deal
Step-by-step explanation:
you know because if you were to double 12 to get to 24 and doubled that same price it would cost more than 30 pencils and you would get less
I NEED HELP PLEASE!!!
Darlene wants to buy a sweater that originally cost $56. It is on sale for 40% off. Sales tax is 7.5%. What is the final price of the sweater with tax?
Group of answer choices
$58.80
$36.12
$31.08
$55.68
Answers
Answer:
$36.12
Step-by-step explanation:
56*40%=22.40 amount off
56-22.40=33.60 price of sweater
33.60*7.5%=2.52 tax amount
33.60+2.52=36.12 total amount
what is 54.873015873 rounded to the nearest hundereth please help
Answers
Answer:
54.87
Step-by-step explanation: