Answer:
7/10 and 7/8 are both less than 1.
Step-by-step explanation:
The product must be less than either factor because when you multiply a number by less than 1, the number gets smaller.
State the domain restriction(s) in interval notation of \displaystyle f\left(g\left(x\right)\right)f(g(x)) given: \displaystyle f\left(x\right)=\sqrt{3x-2}f(x)= 3x−2 and \displaystyle g\left(x\right)=x-7g(x)=x−7
Answer:
The interval notation for the domain is [tex][\frac{23}{3},\infty ][/tex].
Step-by-step explanation:
Consider the provided information.
It is given that [tex]\:f\left(x\right)=\sqrt{3x-2},\:\text{ and }\:g\left(x\right)=x-7[/tex]
We need to find the value of [tex]f\left(g\left(x\right)\right)[/tex].
Put the value of g(x) in [tex]f\left(g\left(x\right)\right)[/tex].
[tex]f\left(g\left(x\right)\right)=f(x-7)[/tex] ....(1)
Now, put x=x-7 in [tex]\:f\left(x\right)=\sqrt{3x-2}[/tex]
[tex]\:f\left(x-7\right)= \sqrt{3(x-7)-2}[/tex]
[tex]\:f\left(x-7\right)= \sqrt{3x-21-2}[/tex]
[tex]\:f\left(x-7\right)= \sqrt{3x-23}[/tex]
From equation 1.
[tex]f\left(g\left(x\right)\right)=\:f\left(x-7\right)= \sqrt{3x-23}[/tex]
The domain of the function is the set of input values for which a function is defined.
Here, the value of [tex]3x-23[/tex] should be greater or equal to 0 as the square root of a negative number is not real.
Domain= [tex]3x-23\geq0[/tex]
[tex]x\geq\frac{23}{3}[/tex]
The value of x is all real number greater than [tex]\frac{23}{3}[/tex].
Hence, the interval notation for the domain is [tex][\frac{23}{3},\infty ][/tex].
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Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}}} : [/tex]
∠ABC = 60° , ∠BAC = 60° & ∠ACD = x °[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]
Value of x[tex] \underline{ \sf{∠ACD= ∠ABC\: + \: ∠BAC}}[/tex] { Exterior angle of a triangle is equal to sum of the two non - adjacent interior angles }
[tex] \sf{x \degree = 60 \degree + 60 \degree}[/tex]
[tex] \sf{x \degree = 120 \degree}[/tex]
[tex] \blue{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt x = 120 \degree}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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Which graph shows a line with a slope of 0?
Answer: c
Step-by-step explanation: if there is no y then its just x=-2
Answer:
c
Step-by-step explanation:
m=y/x and in this case the graph doesn't cross y so ot is valued 0
Helena has saved $595 to put toward snowboarding equipment and lift tickets at the hill. Each lift ticket costs $35. If she wants to have more than $420 of her savings left to spend on equipment, which inequality represents the number of lift tickets she can buy? A. X<5 B. X<4 (there is a line _ underneath the >) C. X>7 D. X>7 (there is a line _ underneath the >)
Answer:
[tex]x < 5[/tex]
Step-by-step explanation:
Given
[tex]Savings = \$595[/tex]
Rate of Lifting Ticket = $35 per ticket
Expected Amount = More than $420
Required
Determine the number of tickets she can buy
If the cost of lifting 1 ticket is 35, then the cost of x tickets is 35x.
Her spendings is then calculated as:
Total = Savings - Cost of lifting tickets
[tex]Total = 595 - 35x[/tex]
From the question, we understand that she wants to have more than 420 left.
This is represented as:
[tex]595 - 35x > 420[/tex]
Collect Like Terms
[tex]- 35x > 420 - 595[/tex]
[tex]- 35x > -175[/tex]
Divide through by -35
[tex]x < \frac{-175}{-35}[/tex]
[tex]x < 5[/tex]
A paint that contains 26 % green dye is mixed with a paint that contains 14 % green dye. How many gallons of each must be used to make 100 gal of paint that is 22 % green dye?
Answer:
66and2/3 gallons of 26% and 33and1/3 of 14%
Step-by-step explanation:
x is the gallons of 26% green dye and y is the gallons of tve 14% one. we know that the totall gallons of dye in the ens are 100=>x+y=100=>x=100-y. 26%*x+14%*y=22%*100
13/50*x+7/50*(100-x)=22 6/50x+14=22 6×=400 x=200/3=66and2/3 =>y=100-200/3=100/3=33and1/3
Can someone help I don’t know
Answer:
yes i will help you
Step-by-step explanation:what are you struggling with
Answer:
A
Step-by-step explanation:
Given similar figures with ratio of sides = a : b , then
ratio of areas = a² : b²
ratio of sides = 15 ; 18 = 5 ; 6
The ratio of perimeters is equal to the ratio of sides, so
ratio of perimeters = 5 : 6
ratio of areas = 5² : 6² = 25 : 36
Pls help I’ll give brainliest
Answer:
B.
yeah. thats the answer.
what's the gcf of 3x and 12x
Answer: GCF- is 3x
Step-by-step explanation:
So first you will ignore the X.
You will then find the GCF of 3 and 12.
The calculated value of the gcf of 3x and 12x is 3x
Calculating the gcf of 3x and 12xFrom the question, we have the following parameters that can be used in our computation:
Expressions = 3x and 12x
Expand both expressions
So, we have
3x = 3 * x
12x = 2 * 2 * 3 * x
Multiply the common factors
GCF = 3 * x
Evaluate
GCF = 3x
Hence, the gcf of 3x and 12x is 3x
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What is ✓ 48 in simplified form?
0 24
O 43
02/12
O V 48 can't be simplified.
Answer:
3rd option
Step-by-step explanation:
square 4 times 12
square root of 4 is 2
so itt would be 2/12
In AMNO, m = 540 inches, n = 330 inches and o=600 inches. Find the measure of
20 to the nearest 10th of a degree.
Answer: 83.5
Step-by-step explanation:
Evaluate the expression for the given value of x.
−6x + 5 for x= −6
Round each to the place of the underlined digit. (1). 32.65 (The 6 is underlined), (2). 3.246 (The 4 is underlined), (3). 4.073 (The 0 is underlined), (4). 0.424 (The 2 is underlined), (5). 6.099 (The 0 is underlined),(6). 6.13 (The 1 is underlined), (7). 183.92 (The 3 is underlined), (8). 905.255 (The 5 next to the 2 on the right is underlined).
show that each quadrilateral with the given vertices is a parallelogram.
J(-2,-2), K(-3,3), L(1,5), M(2,0)
9514 1404 393
Answer:
J +L = K +M = (-1, 3)
Step-by-step explanation:
The figure JKLM is a parallelogram if the midpoints of the diagonals are the same point. That is, ...
(J +L)/2 = (K +M)/2
Multiplying by 2 makes this a simpler test:
J +L = K +M
In this quadrilateral, those sums are ...
J +L = (-2, -2) +(1, 5) = (-2+1, -2+5) = (-1, 3)
K +M = (-3, 3) +(2, 0) = (-3+2, 3+0) = (-1, 3)
The midpoints are the same, so the quadrilateral is a parallelogram.
Show your work on how you got the awnser SHOW work
Answer:
1 3/8
Step-by-step explanation:
5/8+3×2/4×2
5/8+6/8
5+6/8
11/8
1 3/8
______________________________
1.) Find the LCF of 8 and 4:[tex]8,4=8[/tex]- We do this because in order to add the fractions together, they have to have the same denominator. In this case you find the LCF, (Least Common Factor) of 8 and that turns into the denominator for both.
2.) Convert the fractions to have the same denominator: [tex]\frac{5}{8}=\frac{5}{8}[/tex][tex]\frac{3}{4}=\frac{6}{8}[/tex]- [tex]\frac{5}{8}[/tex] stays the same, but [tex]\frac{3}{4}[/tex] changes to [tex]\frac{6}{8}[/tex] because the LCF if 8, and to get to 8 we had to multiply 4 by 2. So since we multiplied the denominator, you must do the same to the numerator, hence why we went from 3 to 6.
3.) Add the numerators: [tex]5+6=11[/tex]- Since [tex]\frac{5}{8}[/tex] and [tex]\frac{6}{8}[/tex] have the same denominator, all you have to do is add the numerator.
______________________________
Some eighth-grade students want to raise at least $300 for a field trip by selling popcorn and fruit bars. The chart below shows the amount of profit they will make on each sale. If they sell exactly 500 fruit bars, how many boxes of popcorn will they need to sell to make a total of $300? 30 cents fruit bars. 60 cents box of popcorn
The total number of popcorn boxes is given by the equation
A = 250 boxes
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of boxes of popcorn be A
Now , the equation will be
Let the cost of one fruit bar = $ 0.30
Let the cost of one popcorn box = $ 0.60
The amount to be raised = $ 300
The number of fruit bars sold = 500
So , the cost of 500 fruit bars = 500 x cost of one fruit bar
Substituting the values in the equation , we get
The cost of 500 fruit bars = 500 x 0.30
The cost of 500 fruit bars = $ 150
Now , the remaining amount to be raised = 300 - 150
The remaining amount to be raised = $ 150
The number of boxes of popcorn A = remaining amount to be raised / cost of one popcorn box
Substituting the values in the equation , we get
The number of boxes of popcorn A = 150 / 0.60
The number of boxes of popcorn A = 250 boxes
Therefore , the value of A is 250 boxes
Hence , the number of boxes is 250
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-2 (m+3) - 5m = -34
Help please
Answer:
m = 4
Step-by-step explanation:
Given
- 2(m + 3) - 5m = - 34 ← distribute and simplify left side
- 2m - 6 - 5m = - 34
- 7m - 6 = - 34 ( add 6 to both sides )
- 7m = - 28 ( divide both sides by - 7 )
m = 4
A pyramid has a square base with side s. The height of the pyramid is 2/3 that of its side. What is the expression for the volume of the pyramid?
A. V=2s2
B. V=2s3
C. V= 2/3s2
D. V=2/9s3
E. V=1/3s3
Answer:
the answer is d aka V=2/9s3
Step-by-step explanation:
Answer:
the answer is d aka V=2/9s3
Step-by-step explanation:
i just took the test and got it right
The length of a rectangle is 6 ft longer than its width.
If the perimeter of the rectangle is 68 ft, find its length and width.
Answer:
the length is 23 ft and the width is 11 ft
Step-by-step explanation:
68/4 = 17
17 17 17 17
11 11 23 23
How do you find the system of equations for a graph?
Answer:
The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.
Step-by-step explanation:
Answer:
The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect. please give brainiest
Step-by-step explanation:
What is the first step in solving this equation?
10d - 4 = 91
Answer:
Step-by-step explanation:
the first step in solving this equation is adding 4 on both sides
10d = 95
d = 95/10 = 9.5
StartFraction one-half left-parenthesis x plus 12 right-parenthesis equals 4 x minus 1.(x + 12) = 4x – 1
zero
one
two
infinitely many
Answer:
1/2.(x+12)=4x-1
x+12=2(4x-1)
x+12=8x-2
Group like terms
12+2=8x-x
14=7x
Divide both sides by 7
x=2
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
9 + 2n = n solve for n
I need help with 16, 17, 18, 19, 20 & 21 please.
Answer:
Step-by-step explanation:
Number 16. You should put yes
Number 17 put no
number 18 is yes
Number 19 is yes
number 20 is no
number 20 is no
If the y-intercept and the x-intercept of a linear function are equal, is the slope 1 ?
Answer:
5
Step-by-step explanation:
criangle has sides 45, 4x and 2x – 4. What is the possible range of x?
Answer:
[tex]\frac{49}{6} <x<\frac{41}{2}[/tex]
Step-by-step explanation:
The possible ranges of x are listed above. Hope this helps! :)
Which inequality is true
Answer:
number 2 I'm pretty sure but wait for another answer jsut to double check
Answer:
I think the 2nd one, -2¾ < -1½, as for -1½ is bigger than -2¾.
The narrator of Fever 1793 helps readers imagine Philadelphia summers by describing
1.church bells tolling.
2.mosquitoes, blowflies, and hornets buzzing.
3.visiting the newspaper office.
4.Eliza leaving for the Free African Society meeting.
Answer:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
Step-by-step explanation:
The narrator of Fever 1793 helps compendiums imagine Philadelphia summers by describing about mosquitoes, blowflies, and hornets buzzing.
What's Narration?This refers to the liar of an event to talk about an event in the order of circumstance.
Given
The opening judgment of Fever 1793," From the moment Colette Ogilvie passed out, Philadelphia's church bells chimed continuous.
The narrator of Fever 1793 makes it easy for readers to picture her upbringing by expressing her love for the nation, describing how it felt to see her words printed, confessing to counting on her fingers, and describing how it felt to voice her anger with front-of-the-house service.
On the road corners, shots were fired, and a cannon was fired in the public forecourt to clear the air. In addition to that, hornets, blowflies, and mosquitoes swarmed about us continuous.
The noise was annoying." Illustration demonstrates how mosquitoes, blowflies, and hornets agonized Philadelphians with unheroic fever in 1793.
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Can anyone help me this was literally due over a week ago
Answer:
You multiply 5 by 1/5 to get 1. So with 2x, you multiply by 1/(2x) to get 1. That's about all you know, since we only know that x is positive.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The task is a little not clear .... When I answered on this question earlier, I actually found multiplicative inverse of the product of 1/5 and (2x - 1/5)
But now I can see the question might be to find of The product of multiplicative inverse of 1/5 and (2x - 1/5)
Norah brought home 2 pounds of grapes and ate 5⁄6 of the grapes that evening. How many pounds of grapes did Norah eat
Answer:
1 2/3 pounds or
Step-by-step explanation:
if x is 18 when y is 6 find y when x is 21
Answer:
y = 7, when x = 21
Step-by-step explanation:
Since 6 is 1/3 of 18 we could use that to find y
1/3 x 21 = 7