Answer:
Two quantities have a proportional relationship if they can be expressed in the general form y = kx, where k is the constant of proportionality. In other words, these quantities always maintain the same ratio. That is, when you divide any pair of the two values, you always get the same number k.
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Answer:
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Marc solves the equation Latex: (\sqrt[4]{x})^3=5\textsf{.} His work is shown below. Step 1: Latex: (\sqrt[4]{x})^3=5 ( √ [ 4 ] x ) 3 = 5 Step 2: Latex: x^{\frac{3}{4} }=5 x 3 4 = 5 Step 3: Latex: x^{\frac{3}{4} \cdot \frac{4}{3} }=5^{\frac{4}{3} } x 3 4 ⋅ 4 3 = 5 4 3 Step 4: Latex: x=\sqrt[3]{5 \cdot 5 \cdot 5 \cdot 5} x = √ [ 3 ] 5 ⋅ 5 ⋅ 5 ⋅ 5 Step 5: Latex: x=5\sqrt[3]{\not{5} \cdot \not{5} \cdot\not {5} \cdot 5} x = 5 √ [ 3 ] ¬ 5 ⋅ ¬ 5 ⋅ ¬ 5 ⋅ 5 Step 6: Latex: x=5\sqrt[3]{5} x = 5 √ [ 3 ] 5 Explain what Marc did in steps 4 and 5. Why did he do this? Create your own radical equation and explain how to solve it. Is there an extraneous solution to your equation?
Based on the calculation, we can say that there is an extraneous solution to the equation
Given the equation solved by Marc expressed as:
[tex](\sqrt[4]{x})^3=5[/tex]
We are to check if the indices equation has an extraneous equation.
According to the law of indices [tex](\sqrt[n]{m} )^a=m^{\frac{a}{n} }[/tex], the expression becomes:
[tex](\sqrt[4]{x})^3=5\\x^\frac{3}{4}=5\\[/tex]
Raise both sides to the power of 4/3 as shown:
[tex](x^\frac{3}{4} )^\frac{4}{3} = 5^\frac{4}{3}\\x^1 = 5^\frac{4}{3}\\x = 5^\frac{4}{3}\\[/tex]
This shows that there is an extraneous solution to the equation
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What's the answer guys?
Answer: 14.4p - 2.2q + 4.3r
Step-by-step explanation:
(8.8p + 5.6p) + (6.2q - 8.4q) + (-1.8r + 6.1r)
= 14.4p - 2.2q + 4.3r
please give me a brainliest answer
Clay gave four friends seven ball cards
each. How many cards did he give to his
friends?
what is the ratio of 22 and 8
h(x)=3x+3 g(x)=-4x+1 find (h+g)(10)
Answer:
-6
Step-by-step explanation:
h(x)=3x+3
g(x)=-4x+1
(h+g)(x) = 3x+3 -4x+1 = -x+4
(h+g)(10) = -(10)+4 =-6
The annual average rainfall in new york is 50 ⅕ inches
Per year. Write this fraction as a decimal. HELPPP
50.2 should be the anwser i doubled checked with search
and it says it is correct so it should be good.
Step-by-step explanation:
math
how do i write 5z in expanded notation
What are the differences and similarities between the the graphs and equations of circles and ellipses?
if some one can bike 32 miles in 160 minutes how long will it take them to go 1 mile
Multiply and simplify
Answer and explanation:
1. 2 × 3/10 = 6/10 = 3/5
2. 8 × 4/8 = 32/8 = 4
3. 9 × 3/9 = 27/9 = 3
4. 12 × 2/11 = 24/11 = 2 2/11
5. 3 × 5/7 = 15/7 = 2 1/7
6. 2 × 3/5 = 6/5 = 1 1/5
7. 11 × 4/8 = 44/8 = 5 4/8 = 5 1/2
8. 10 × 1/4 = 10/4 = 2 2/4 = 2 1/2
9. 5 × 1/4 = 5/4 = 1 1/4
10. 11 × 2/7 = 22/7 = 3 1/7
Hope this helps!
Find the 11" term of the following geometric sequence.
5, 15, 45, 135, ...
find the slope of the line passing through the points (9,-9) and (1,-1)
Answer:
The slope is -1
Step-by-step explanation:
Slope formula:
In (9,-9): 9 is x1 and -9 is y1
In (1,-1): 1 is x2 and -1 is y2
m= y2-y1/x2-x2
m= -1+9/1-9
Which is 8/-8
Simplify:
-1
The slope is -1
Hope this helps!
Answer:
-1
Step-by-step explanation:
To find slope, take the two points and find the RISE/RUN, which is y-y/x-x. Stay consistent with how you order the numbers. In this case, I'll do -1 -(-9) / 1 - 9. That will give you 8/-8, which when simplified gives you -1.
A square has a area of 121 square centimeters. what is the length of each side
Find the missing angle measures.
What is m∠2?
a 40
b 60
c 50
d 100
Please help !!! Will mark as brainliest !!!
Answer:
So the answer would be (A.
Step-by-step explanation:
Use the remainder theorem to determine whether x=-4 is a solution of
[tex] {x}^{6} + {5x}^{5} + {5x}^{4} + {5x}^{3} + {2x}^{2} - 10x - 8[/tex]
Answer:
The remainder is zero. Then x = –4 is a solution of the given equation.
Hello haohaoxNienie!
[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
Use the remainder theorem to determine whether x = - 4 is a solution of x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8.
[tex] \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}[/tex]
Refer to the attached picture.
Steps :-First find the divisor using the given information (x = - 4).Now, divide x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8 by x + 4.We'll get the remainder as 0.Using the remainder theorem & solving it, we'll get LHS & RHS as 0.Hence proved.Answer :- Yes, x = - 4 is a solution of x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8.
__________________
Hope it'll help you!
ℓu¢αzz ッ
how do you do this, thanks for helping
Answer:
A: (-7, -4)
B: (-3, 8)
Step-by-step explanation:
Ordered pairs are (x,y).
Count the lines and see:
A is 7 to the left and 4 down so (-7, -4)
B is 3 to the left and 8 up so (-3, 8)
REMEMBER X IS ALWAYS FIRST!!
Does this answer make sense? YES! Because quadrant II all the pairs will be (-#, #) and in quadrant III the pairs will be (-#, -#)
Hope that helps!
the temperature of an enclosure for a pet snake should be about 80f, give or take 5. find the maximum and minimum temperatures
Answer:
The max is 85F
The min is 75F
Step-by-step explanation:
Happy To Help :)
Solve the equation, y = 7x + 10, using the x-values, 3, 5, and 8.
Which of the following T-tables represents the ordered pairs?
Please help !!
Answer:
y=7%283%29%2B10
y=21%2B10
y=31
(3,31)
Step-by-step explanation:
Answer:
the answer is A
Step-by-step explanation:
solve please :3 will mark brainliest !!
__________
[tex] \: [/tex]
6f = $15
8f = $20
10f = ?
Soo :
2f = 5
f = 2,5
10f = 10(2,5) = $25✔
The cost of the wire of the third length in the table is, 25 dollars
We have to give that,
The cost of a certain type of wire varies directly with its length.
Now, From the table the equation between cost and length is,
y - 15 = (20 - 15)/(8 - 6) (x - 6)
y - 15 = (5/2) (x - 6)
y - 15 = 2.5x - 15
y = 2.5x
Where y represents the cost and x represent the length.
Hence, At x = 10 feet
y = 2.5 (10)
y = 25 dollars
So, The cost of the wire is, 25 dollars
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The period of the function, y=cos(4x)is how many degrees?
Martin finds a shirt on sale
Which inequality best represents that icecream at -3⁰C is cooler than icecream at 1⁰C?
Answer:
Ice cream at -3 c is cooler than 1 C therefore since you are looking to know which one is cooler > would be the best option.
Step-by-step explanation:
Have a wonderful day!
Your classmate says the triangles below are not congruent by SSS. She explains that congruent sides do not correspond explain the error in her reasoning.
Congruent triangles are triangles with equal corresponding sides.
The triangles are congruent
From the question (see attachment), we have the following observations.
Two corresponding sides are marked with ITwo corresponding sides are marked with IITwo corresponding sides are marked with IIIThe above highlights mean that:
The corresponding sides are congruent by SSS theorem
Hence, your classmate's claim is incorrect.
Read more about congruence of triangles at:
https://brainly.com/question/20517835
Does the graph represent a function? Why or why not?
Answer:
The vertical line test can be used to determine whether a graph represents a function. ... If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output. A function has only one output value for each input value.
Step-by-step explanation:
Can i get braineist pls
The ratio of students who wear glasses to the total class is 2:5
a. What is the ratio of student who wear glasses to those who don't in simplest form?
b. If there are 15 students who don't wear glasses, how many students are in the class?
students
c. If 5 of the students who didn't wear glasses now do, what is the ratio of students who wear glasses
to those who don't in simplest form?
Answer:
a. 2:3, b. 25 students, c. 3:2
Step-by-step explanation:
a. 5 (total) - 2 (with glasses) = 3 (without glasses), making the ratio 2:3.
b. We can assign the total students with the variable x. 3:5=15:x, 75=3x, x=25. 25 total students.
c. 25 (total students) - 15 (without glasses) = 10 (with glasses). (10+5):(15-5) is 15:10, which, when simplified, equals to 3:2.
If an area of a circle is 65.71cm*2 what is the radius? Round the answer to 2DP.
Answer:
4.57
Step-by-step explanation:
square root of 65.71 divided by pie
Is the following equation true sometimes, always, or never?
(x-y)^2-2xy+y^2
Answer:
True
Step-by-step explanation:
-x^4+2x^3+8x=0. solve by factoring
2.93114246
Step-by-step explanation: