The equation that represents the age of the youngest sister is 4x + 12 = 36. Then the age of youngest sister will be 6 years old.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The four sisters are all 2 years apart in age. The total of their ages is equal to 36 years.
Let x be the age of the youngest sister. Then the age of other sister will be x + 2, x + 4, and x + 6. Then the equation is given as,
x + x + 2 + x + 4 + x + 6 = 36
4x + 12 = 36
4x = 36 - 12
4x = 24
x = 24 / 4
x = 6
The equation that represents the age of the youngest sister is 4x + 12 = 36. Then the age of youngest sister will be 6 years old.
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given the function f(x)=x^3 +x^2-2x+1 what is the resulting function f(x) is shifted to the left one unit
Answer:
The resulting function is [tex]f(x+1) = x^3 + 4x^2 + 3x + 1[/tex]
Step-by-step explanation:
Suppose we have a function f(x). If we want to shift the function 1 unit to the left, we find f(x+1).
In this question, we have:
[tex]f(x) = x^3 + x^2 - 2x + 1[/tex]
Shifting 1 unit to the left:
[tex]f(x+1) = (x+1)^3 + (x+1)^2 - 2(x+1) + 1[/tex]
[tex]f(x+1) = (x^3 + 3x^2 + 3x + 1) + (x^2 + 2x + 1) - 2x - 2 + 1[/tex]
[tex]f(x+1) = x^3 + (3+1)x^2 + (3+2-2)x + 1 + 1 - 2 + 1[/tex]
[tex]f(x+1) = x^3 + 4x^2 + 3x + 1[/tex]
The resulting function is [tex]f(x+1) = x^3 + 4x^2 + 3x + 1[/tex]
Jane drove 693 miles in 11 hours.
At the same rate, how long would it take her to drive 411 miles?
Answer:
approx. 6.523809523809524 hours
Step-by-step explanation:
Let us first find how long it takes Jane to drive 1 mile.
11/693 = approx. 0.015873015873016 hours to drive one mile.
She drives 411 miles, so we can multiply that by 411:
0.015873015873016 * 411 = approx. 6.523809523809524 hours
I hope this helps! :)
Answer:
6.52 hours
Step-by-step explanation:
693 miles divided by 11 hours = 63 miles per hour.
411 miles divided by 63 miles = 6.52380952 miles
Round to 2 decimal places: 6.52 hours
Please I really need help on this one
Answer:
2.5ft
Step-by-step explanation:
d=2r
r=1/2d
r=1/2*5ft=2.5 ft
PLEASE HELP
Simplify the expression 5^3+3(5-3)
A.137
B.131
C.27
D.21
Answer:
the correct answer is 131
Step-by-step explanation:
5^3 +3(2)
= 125 +6
=131
EASY WORK!! Please look at the picture and yes it’s easy for people but not for me .
Answer:
299
Step-by-step explanation:
well, its 299 lol i ust did it somehow
Answer:
229
Step-by-step explanation:
650 / 100 = 6.5
6.4 times 46 = 299
Pls find this asap I am already late for this pls
Answer:
Step-by-step explanation:
I'm not sure about number 3, but I have the answer for number. The answer is 1:32.
3: 69
3/69
Then we reduce the fraction to the lowest term
3/69 = 1/32
1:32
Just divide 96/3 and you can see that one bus can hold 32 students
Which three types of transformations result in congruent shapes? Question 8 options: A) Reflection, rotation, translation B) Reflection, translation, dilation C) Reflection, dilation, rotation D) Rotation, dilation, translation
Answer: A
Step-by-step explanation:
Answer:
A. Reflection, rotation, translation
Step-by-step explanation:
Rotations, reflections, and translations are isometric. That means that these transformations do not change the size of the figure. If the size and shape of the figure is not changed, then the figures are congruent. Explore and discuss the examples of transformations below with your child. Examples of Transformations.6) Find the distance between -8 and 10.
) What is an expression that represents the
distance? Complete the expression.
1
-8
10
1
- 10 -8
What is the distance?
?
units
A political action committee wanted to estimate the proportion of county residents who support a change to the county leash law. They took a random sample of 600 county residents and found that the proportion who wanted to change the law was 33% with a margin of error of +/- 4% (with 95% confidence). This implies:_____
a. If we took another sample of 600 residents the sample proportion would definitely be between 29% and 37%.
b. If we take many other samples from this population 95% of them will have a sample proportion that is between 29% and 37%.
c. We can not conclude anything about the population parameter since this is only a sample.
d. We are 95% confident that the true proportion of county residents who want the law changed is between 29% and 37%.
e. There is a 95% chance that the true parameter is 33%.
Answer:
d. We are 95% confident that the true proportion of county residents who want the law changed is between 29% and 37%.
Step-by-step explanation:
Meaning of a confidence interval:
A x% confidence interval being between a and b means that we are x% sure that the true population proportion is between a and b.
In this question:
Sample of 600, proportion who wanted to change the law was 33% with a margin of error of +/- 4% (with 95% confidence). This implies:
From the concept of confidence interval above, the correct answer is:
d. We are 95% confident that the true proportion of county residents who want the law changed is between 29% and 37%.
One side of a triangle is 3 times the second side. The third side is 17 feet longer than the second side. The perimeter of a
triangle is 52 feet. Find the length of each side.
Answer:
Side 1=21 ft, Side 2=7, Side 3=24
Step-by-step explanation:
52 = (3x) + (x) + (x+17) -> 52 = 5x + 17 -> 5x = 35 -> x = 7
Plus 7 into the equation whenever you see an x.
Specify the set of B by giving a written description of It’s element where B={ 0,1,4,9,16,25}
Answer:
Please check the explanation.
Step-by-step explanation:
Given the set B
B={ 0,1,4,9,16,25}Analysis of the elements in the set B
[tex]m = 0 = 0^{2}[/tex][tex]m\:=\:1\:=\:1^2[/tex][tex]m\:=\:4\:=\:2^2[/tex][tex]m\:=\:9\:=\:3^2[/tex][tex]m\:=\:16\:=\:4^2[/tex][tex]m\:=\:25\:=\:5^2[/tex]We can check that each element in set B is a square of a whole number.
Therefore, we conclude that:
B = { square numbers less than 30 }.
or
B = {m/m is square of a whole number; [tex]0 \leq m \leq 5[/tex] }
CUCU
3) Which function represents the sequence? 45, 40, 35, 30, 25,-
OA) f(x) = 45x -5
OB) f(x) = 45 - 5(x - 1)
OC) f(x) = 5 - 45(x - 1)
OD) f(x) = 5x + 45
Save
Not Graded
AEDc0
9:28 AM
116/2021
1
Answer:
B
Step-by-step explanation:
well, the sequence are in the form
[tex]a1, a2, a3, a4, a5, ... , an[/tex]
a1 = first term = 45
you can plug 1 to any of the option
and ended with B the only function that satisfies what we need
solve for x x−6/9=−5
x=
Answer:
4 4/9
Step-by-step explanation:
Move all terms not containing x
to the right side of the equation.
Exact Form:
x=−409
Decimal Form:x=−4.¯4
Mixed Number Form:
4 4/9
Answer:
-39
Step-by-step explanation:
x-6/9 = -5
then multiply both sides by 9
9 ° (x-6) / 9 = 9 ° -5
simplify
x-6= -45
add 6 to both sides
x-6+6=-45+6
simplify
x= -39
Ms. Davis is doing an activity with her statistics students where she gives them a 202020-question multiple choice test, and they know none of the answers. Students need to guess on every question, and each question has 555 possible choices, 111 of which is correct.
What are the mean and standard deviation of the number of questions that each student gets correct?
You may round your answers to the nearest tenth.
Answer:
The mean and standard deviation of the number of questions that each student gets correct are 4 and 1.789 respectively (
Answer: mean: 4
standard deviation: 1.79
Step-by-step explanation:
Casandra earned 520$ this month by walking her neighbors dog . This is a 30% increase from amount she earned last month
Answer: last week she earned $364.
Step-by-step explanation:
What will be the 50th term in the sequence defined by an=11+5(n-1)
Answer:
234
Step-by-step explanation:
solve for y.
-13=4y+3
Answer:
-13=4y+3 -3
-16=4y ÷4
-4=y
Step-by-step explanation:
hope it helps ^^
Answer:
y = -4
explenation in picture
help please !!! x/4 = 9/x
Step-by-step explanation:
x/4=9/x
x.x=4.9
x^2=36
√x=√6
x=6
Find the perimeter and area of a rectangle with the following length and breadth:
i. L = 10.5m, B = 5.5m
ii. L = 15cm B = 6.8cm
Answer:
perimeter: 2(l+b) , area : multiply by breadth
Step-by-step explanation:
perimeter: 2(10.5+5.5)
:206.5m ans
area: 10.5multiply bye 5.5
:57.75m ans
2: perimeter: 2(15+6.8)
: 36.8cm ans
area : 15 multiply by 6.8
: 102cm ans
Shannon, Oscar, and Ella contribute the same amount to their father’s gift. Their older sister Moriah contributes $12. How much does Oscar contribute if the total for the gift is $36? Write and solve an equation.
Answer:
Amount contributed by Oscar = $8
Step-by-step explanation:
Given that:
Amount spent on gift = $36
Amount contributed by Moriah = $12
Let,
x be the amount contributed by each of them.
Thus,
Gift total = Contribution of all
36 = x+x+x+12
36 = 3x+12
3x+12 = 36
3x=36-12
3x=24
Dividing both sides by 3
[tex]\frac{3x}{3}=\frac{24}{3}\\x=8[/tex]
Hence,
Amount contributed by Oscar = $8
Find the solution of these two equations. Y=1/5x-7 and y=-x-1
Answer:For the first one it would be x=35
And the 2nd one would just be x=-1
Step-by-step explanation:
Simplify QP
R ( 0 , a )
S ( b , c )
Q ( 0 , -a )
P ( b , -c )
Answer:
b² + ( -c + a ) ²
Step-by-step explanation:
What is 2/3-5/9 in 5th grade math
Answer:
0.111111
Step-by-step explanation:
Answer:
Step-by-step explanation:
Solution
=2×3/3×3-5×1/9×1
=6/9-5/9
=6-5/9
=1/9
Please mark me brainliest.Ok
how do you create a graph for linear equation? I need to graph 3x=4
Answer:
Look at the graph below, hope this helped.
Step-by-step explanation:
2. 124 2. 1
tell what theroem you used in each class
Answer:
Vertical Angles Theorem
Step-by-step explanation:
I'm not sure what you're asking because 2. 124 2. 1 doesn't make mathematical sense, but if angle 1=angle 2, you use the vertical angles theorem.
The table shows the regular price and percent of discount for four items. Write the correct sale price for each item. Round to the nearest cent if necessary.
Answer:
Step-by-step explanation:
A. $154.20 * 0.65 = $100.23
B. $91.96 * 0.70 = $64.37
C. $47.60 * 0.75 = $35.70
D. $84.60 * 0.80 = $67.68
Can anyone please help me please
Answer:
this isnt spanish
Step-by-step explanation:
Look at the table.
Cars Sold
Annual Bonus
120
$1,800
130
$1,950
150
$2,250
175
$2,625
What is the annual bonus for a salesperson who sells 55 cars?
$150
$825
$1,500
$8,250
Answer: $825 (B)
Step-by-step explanation:
it’s obvious
Answer: The answer is B!
Step-by-step explanation: It's on edge, hope this helped!
A scale drawing for a backyard is shown below.
In the drawing, 2 cm represents 5 m.
Assuming the patio is rectangular, find the area of the real patio.
Answer:
50 m²
Step-by-step explanation:
2 cm for length = 5 m. 4 cm for width = 10 m. Area = width • length. 10•5=50
Up all the road 6 meters in 12 seconds. What is the speed?
Step-by-step explanation:
speed = distance/time
= 6/12 m/s
= 0.5 m/s
Answer:
0.5m/s
Step-by-step explanation:
Formula for speed is distance /time taken
which is 6m/12s,which Is then equal to0.5m/s