Answer:
[tex]3x + 14[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex]4x + 2(3x + 7) - 7x[/tex]
[tex]4x + (2 * 3x) + (2 * 7) - 7x[/tex]
[tex]4x + 6x + 14 - 7x[/tex]
Step 2: Combine like terms
[tex]4x + 6x + 14 - 7x[/tex]
[tex](4x + 6x - 7x) + 14[/tex]
[tex]3x + 14[/tex]
Answer: [tex]3x + 14[/tex]
Need help
Every week a company provides fruit for its office employees. They can choose from among five kinds of fruit. What is the probability distribution for the 30 pieces of fruit, in the order listed?
Answer:
it is A bacause the fractions for that one are correct
Step-by-step explanation:
Sam saved $40 each month for 3 years. Then, he spent 65% of his savings on a cruise. How much of his savings was left? A. $420 B. $588 C. $1,092 D. $1,260
Answer:
$588 was left
Step-by-step explanation:
Since it was $40 for 3.5 years, and there are 12 months in a year, we do: (3*12+6)*40=168065%= 13/2013/20 * 1680Sam paid $10921680 - 1092 = 588You have two right triangles that are similar. The base of the first is 8 and the height is 12.
If the base of the second triangle is 22, what is the height of the second triangle?
A. 33 units
B. 26 units
C. 14.7 units
D. 4.4 units
Let the height be x
[tex]\\ \sf\longmapsto \dfrac{8}{12}=\dfrac{22}{x}[/tex]
[tex]\\ \sf\longmapsto 12x=22(8)[/tex]
[tex]\\ \sf\longmapsto 12x=176[/tex]
[tex]\\ \sf\longmapsto x=14.7units[/tex]
Step-by-step explanation:
X :8/12 = 22/x
x • 12 = 22 • 8
12x = 176
x = 14.7units (C.)
A triangle and a square are drawn on dotty paper with dots 1 cm apart. What is the area of the region coloured red?
Answer:
≈ 0.9 cm²
Step-by-step explanation:
I don't know if there is any easier way to solve this, I use 8th grade slope and line method to solve. suppose A is on origin, then the coordinates of triangle ABC are (0,0) (1,3) (4,1) and polygon DEFGH intersect line BC at F and G.
F is the intersect of y=2 and line BC, while G is intersect of x=3 and line BC.
Line BC: pass (1,3) and slope (m) = (1-3)/(4-1) = - 2/3,
F(x,2)
(2-3) / (x-1) = -2/3
2x-2 = 3 x = 2.5
*F (2.5 , 2)
G (3,y)
(y-3) / (3-1) = -2/3 y = 5/3
*G (3 , 5/3)
*point I (3 , 2)
segment FI = 3-2.5 = 0.5 = 1/2
segment GI = 2 - 5/3 = 1/3
area ΔFIG = (1/2 * 1/3) / 2 = 1/12 = 0.083
area of polygon DEFGH (region colored RED) = 1 - 0.083 = 0.917 ≈ 0.9 cm²
Angles A,D and G are congruent, and angles c, f and j are congruent. What is the mesure of angle E?
Answer:
60
Step-by-step explanation:
Since the angles A, D, and G are congruent then sum of given angles is eaqual to 180 degrees
x + 20 + 2x + x = 180 add like terms
4x + 20 = 180 subtract 20 from both sides
4x = 160 divide both sides by 4
x = 40
Angles B, E, and H are congruent so E is also = x + 20 and x = 40 so angle E = 60
Which inequality represents the graph? x ≥ (y + 3)2 + 1 x ≤ (y + 3)2 + 1 x ≥ (y – 3)2 + 1 x ≤ (y – 3)2 + 1
The graph of each of the inequalities are created using a graphing tool as follows;
Graph 1; x ≥ (y + 3)² + 1
The domain = 1 ≤ x ≤ ∞
The range = -∞ < y < ∞
Graph 2; x ≤ (y + 3)² + 1
The domain = -∞ ≤ x ≤ ∞
The range = -∞ < y < ∞
Graph 3; x ≥ (y - 3)² + 1
The domain = 1 ≤ x ≤ ∞
The range = -∞ < y < ∞
Graph 4; x ≤ (y - 3)² + 1
The domain = -∞ ≤ x ≤ ∞
The range = -∞ < y < ∞
Learn more about graph of inequalities here:
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Answer:
c or x ≥ (y-3)^2+1
Step-by-step explanation:
Which inequality matches the graph?
Answer:
x < 2/3 y + 2 1/3
Step-by-step explanation:
put it in a graphing calculator and they matched, I do not know
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Draw a dilation of the figure using the given scale factor )
Find the slope of the line on the graph. Write your answer as a fraction or whole number, but a mixed number or decimal.
Answer:
-1/4
Step-by-step explanation:
Rise over run
Rises -1 runs 4
slope = -1/4
Describe the functions plz and thank u<3also 50pts
Answer:
See belowStep-by-step explanation:
Given function:
y = 1/2|x + 3| + 2This is a transformation of the absolute value function y = |x|.
The transformations are:
1. Dilation by a scale factor of 1/22. Translation left by 3 units3. Translation up by 2 pointsThe locator point is the vertex: (-3, 2)
Domain is any value: x = (- ∞, + ∞)
Range is anything not less than 2: y ≥ 2 or y = [2, + ∞)
See the graph attached
Use green’s theorem to evaluate
By Green's theorem (all the conditions are met), we have
[tex]\displaystyle \int_C \sqrt y \, dx + \sqrt x \, dy = \iint_D \frac{\partial(\sqrt x)}{\partial x} - \frac{\partial(\sqrt y)}{\partial y} \, dx \, dy[/tex]
where D is the interior of the path C, or the set
[tex]D = \left\{ (x, y) : 0 \le y \le \dfrac{x^2}2 \text{ and } 0 \le x \le 2 \right\}[/tex]
So, the line integral reduces to the double integral,
[tex]\displaystyle \frac12 \int_0^2 \int_0^{\frac{x^2}2} x^{-\frac12} - y^{-\frac12} \, dy \, dx[/tex]
[tex]\displaystyle = \frac12 \int_0^2 x^{-\frac12}\left(\frac{x^2}2\right) - 2\left(\frac{x^2}2\right)^{\frac12} \, dx[/tex]
[tex]\displaystyle = \frac12 \int_0^2 \frac12 x^{\frac32} - \sqrt 2 \, x \, dx[/tex]
[tex]\displaystyle = \frac14 \int_0^2 x^{\frac32} - 2\sqrt 2 \, x \, dx[/tex]
[tex]\displaystyle = \frac14 \left(\frac25\cdot2^{\frac52} - \sqrt2\cdot2^2\right) = \boxed{-\frac{3\sqrt2}5}[/tex]
help me plssssssssssss
Answer:
x= 131⁰
Step-by-step explanation:
the angles add up to 180⁰ so 180-49=131
131+49=180
hope this helps!!
Answer:
131 degrees. since it's going through 2 parallel lines, 49 is equal to the angle to the left of x, so we subtract 49 from 180 (half of 360) and we get 131
4/7 divided by 1 1/3 =
Answer:
i think probably 3/7 is answer
A sweatshirt was on sale for 32% off and cost $40.80 without tax. What was the original price of the sweatshirt?
Answer:
The original price of the sweatshirt was $127.50
Step-by-step explanation:
$40.80 / .32(32%) = $127.50
Which of the following is not a factor of 9 ?
Answer:
2, 4, 5, 6, 7, 8
Step-by-step explanation:
The number 2 is not a factor of 9. The correct option is D.
What is factor?A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor in mathematics.
The given number is 9.
To find the factor of 9:
Number m that evenly divides another number 9.
In simple words, when we divide the number 9 by a number m.
We should get a whole number.
From the options,
9/1 = 9
9/3 = 3
9/9 = 1
9/2 = 4.5
Therefore, the number 2 is not the factor of 9.
To learn more about the factor;
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The complete question is:
Which of the following is not a factor of 9?
Options:
1 , 3, 9, 2.
Please help ASAP
Solve for X.
Answer:
86
Step-by-step explanation:
So the angle your trying to find has another angle 4 the triangle is a right triangle so 90-4=86
Hopes This Helps :)
6. Rachael is married with 2 dependents. Her salary as a dental hygienist is $47,650 paid
in 26 pay periods. Find the state tax withheld per pay period.
Answer:1.2389 million US$
Step-by-step explanation:
Which value of a makes the equation true?
Answer:
a = -2
Step-by-step explanation:
3(a + 1.5) = -1.5
3a + 4.5 (-4.5) = -1.5 (-4.5)
3a = -6
a = -2
help me plssssss
ssssssssss
Answer:
The answer is going to be A
Step-by-step explanation:
Pls help as soon as possible thank you
Answer:
answer is b
Step-by-step explanation:
6x+10
6*-3+10=-8
4x+4
4*-3+4=-8
f(x) = {(1,0),(2,1),(3,-1),(4, -2),(-1,-2)
Find the inverse of the function
What is the next number
3, 4, 7, 16, 11, 64, …
Answers:
A) 55
B)14
C)39
D)15
the answer is c) 39 according to the sequence
The next number 3, 4, 7, 16, 11, 64, is: 55.
What is the number pattern?A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers.
When all the terms of a geometric sequence are added, then that expression is called geometric series.
We are given the series as;
3, 4, 7, 16, 11, 64, …
If we separate the numbers that in order are in the even place of the odd ones, we would have :
3, 4, 7, 16, 11, 64,..
If we finish in 1 then they increase by 1 in 1, while in 2.- they increase in odd numbers, the following number is: 55
The correct option is A.
Learn more about a number pattern:
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id like 75% of my order to be 9 chocolate and the rest vanilla. how many vanilla cupcakes are there
Answer:
3 vanilla
Step-by-step explanation:
If 75% of the order equates to 9 chocolate, then the remaining of the dozen would leave three.
Unless there is more than 12 in the order. The question is vague
help I suck at math..
Answer:
The correct answers are:
B
D and
F
Step-by-step explanation:
Hope it can help you lovelots
#LEARN WITH BRAINLY
how do i get the answer for this problem. 2x+2x+2=4x+2
Let f(x) = x+2/x+6
f^-1(-6) =
We can explicitly find the inverse. If [tex]f^{-1}(x)[/tex] is the inverse of [tex]f(x)[/tex], then
[tex]f\left(f^{-1}(x)\right) = \dfrac{f^{-1}(x)+2}{f^{-1}(x)+6} = x[/tex]
Solve for the inverse :
[tex]\dfrac{f^{-1}(x) + 2}{f^{-1}(x) + 6} = x[/tex]
[tex]\dfrac{f^{-1}(x) + 6 - 4}{f^{-1}(x) + 6} = x[/tex]
[tex]1 - \dfrac4{f^{-1}(x) + 6} = x[/tex]
[tex]1 - x = \dfrac4{f^{-1}(x) + 6}[/tex]
[tex]f^{-1}(x) + 6 = \dfrac4{1-x}[/tex]
[tex]\implies f^{-1}(x) = \dfrac4{1-x} - 6[/tex]
Then when x = -6, we have
[tex]f^{-1}(-6) = \dfrac4{1-(-6)} - 6 = \dfrac47-6 = \boxed{-\dfrac{38}7}[/tex]
Alternatively, we can first solve for x such that [tex]f(x) = -6[/tex]. Then taking the inverse of both sides, [tex]x = f^{-1}(-6)[/tex]. (The difference in this method is that we don't compute the inverse for all x.)
We have
[tex]\dfrac{x+2}{x+6} = -6[/tex]
[tex]x + 2 = -6 (x + 6)[/tex]
[tex]x + 2 = -6x - 36[/tex]
[tex]7x = -38[/tex]
[tex]\implies x = \boxed{-\dfrac{38}7}[/tex]
Try changing these improper fractions to mixed numbers.
16/5?
( teach me how to solve this please!)
Answer:
3 1/5
Step-by-step explanation:
The improper fraction 16/5 is called improper because the top number(the numerator) is bigger than the bottom number(the denominator) we "fix" this by dividing and creating a mixed number (it is called mixed because there is a whole part and a fraction part):
As 16÷5 >>> doing this division gives you 3 wholes and 1/5 leftover. We write this as
3 1/5 (in handwriting the three is big and the 1/5 is a fraction, it is the mixed number they are asking you for)
Sammy factored the polynomial x2 + x - 6. She came up with the factors of
(x-3) and (x-2). Describe and correct the error.
Answer:
(x+3) and (x-2) are the correct factors
Step-by-step explanation:
If we expand (x-3)(x-2), we see that it equates to x²-5x+6, which is not what we want. The correct factors would be (x+3)(x-2) since the middle term's coefficient becomes 1 as 3-2=1 whereas -3-2=-5.
how many more seconds does it take to drive 1 mile at 40 miles per hour than 60 miles per hour
Answer:
165 seconds
Step-by-step explanation:
If you were going steadily 60 miles per hour, you would go one mile in one minute. So, if you were going steadily 40 miles per hour, without your speed going up or down, you would get through one mile in 3 3/4 minutes (which is 165 seconds more than 1 minute).
Hope this helps. Pls give brainliest! Also, pls sub to kgirl633 on yt!
What of the following exponential functions is represented by the data in the table?
A) f(x)=(1/3)^3
B) f(x)=3^x
C) f(x)=x^3
D) f(x)=x1/3
Answer:
f(x) = ( 1/3) ^ (x)
Step-by-step explanation:
The function is
f(x) = (1/3) ^ (x)
When x = 1 f(x) = 1/3
when x=2 f(x) = 1/9
When x = -1 f(x) = ( 1/3) ^ -1 = 3/1 =3
Answer:
f(x)=(1/3)^x
Step-by-step explanation:
Plug in the given values of x in the function above and match the answers with f(x) which is y.