Answer:
Solution
Correct option is C)
(fog)(x)=f(g(x))=2(3x+2)−1=6x+4−1=6x+3=3(2x+1)
lines y = -x+2 and y=x+1
point of intersection of the linear equations is
(0,2)
(0.5, 1.5)
(-1,0)
(2,0)
[tex]\\ \sf\Rrightarrow y=-x+2[/tex](1)
[tex]\\ \sf\Rrightarrow y=x+1[/tex](2)
Now
[tex]\\ \sf\Rrightarrow -x+2=x+1[/tex]
[tex]\\ \sf\Rrightarrow -2x=-1[/tex]
[tex]\\ \sf\Rrightarrow x=0.5[/tex]
Put in eq(2)
[tex]\\ \sf\Rrightarrow y=0.5+1[/tex]
[tex]\\ \sf\Rrightarrow y=1.5[/tex]
What is the value of 2^2n ?
Answer:
2^2n = 4n
hope it helps you :)
Answer:
4n
Step-by-step explanation:
2^2n = 4n
hope u liked this answer :)
What is the measure of <1?
What is the measure of <2?
Answer:
1) 98°
2) 65°
Step-by-step explanation:
Sum of the angles in any triangle = 180°
in first triangle the third inner angle = 180 - (18 + 80) = 82 then measure of (1) = 180 - 82 = 98°
The missing interior angle of the second triangle = 180 - 124 = 56° then measure of (2) = 180 - (59+56) = 65°
Write 90 as a product of primes. Use index notation when giving your answer.
Answer:
90 =3 × 3 × 5 × 2.
Step-by-step explanation:
............
1. Simplify 3(2x - y) + 6y.
5x + 7y
6x + 3y
2x + 3y
6x - 7y
Answer:
6x + 3y
Step-by-step explanation:
3(2x - y) + 6y ← distribute parenthesis by 3
= 6x - 3y + 6y ← collect like terms
= 6x + 3y
[tex]\huge\boxed{Hi\: there!}[/tex]
Here, we use the Distributive Property:
[tex]a(b+c)=ab+ac[/tex]
3(2x-y)+6y=6x-3y+6y
Combine like terms:
6x+3y
[tex]\huge\boxed{Therefore,\: our \:equation\: is:6x+3y}[/tex]
[tex]\huge\bf{Good \:luck \:with \:your \: studies! :)\\~Unknown Dreamer}[/tex]
Grayson is flying a kite, holding his hands a distance of 2.75 feet above the ground and letting all the kite’s string play out. He measures the angle of elevation from his hand to the kite to be 26
∘
∘
. If the string from the kite to his hand is 145 feet long, how many feet is the kite above the ground? Round your answer to the nearest hundredth of a foot if necessary.
The position of the kite with the point directly beneath the kite at the same
level with the hand and the hand for a right triangle.
The height of the kite above the is approximately 66.314 feet.Reasons:
The height of his hands above the ground, h = 2.75 feet
Angle of elevation of the string (above the horizontal), θ = 26°
Length of the string, l = 145 feet
Required:
The height of the kite above the ground.
Solution:
The height of the kite above the ground is given by trigonometric ratios as follows;
[tex]\displaystyle Height \ of \ kite, \, k_h = \mathbf{h + l \times sin(\theta)}[/tex]
Therefore;
[tex]\displaystyle Height \ of \ kite, \, k_h = 2.75 + 145 \times sin(26^{\circ}) \approx \mathbf{66.314}[/tex]
The height of the kite above the, [tex]k_h[/tex] ≈ 66.314 feet
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Factors that are greater than 1/2 but less than one
6/8
Step-by-step explanation:
1/2 = 0.5
6/8 = 0.75
therefore, 0.75 > 0.5
Convert 34/8 to a decimal using long division
Answer: Using a calculator, if you typed in 34 divided by 8, you'd get 4.25. You could also express 34/8 as a mixed fraction: 4 2/8.
Step-by-step explanation:
Answer:
answer
Step-by-step explanation:
is using a cancalator duh
1) You are considering buying a three-year warranty for a new air conditioner unit for $350. The warranty will cover the $2,800 replacement cost if the unit breaks down. Suppose the probability that the unit breaks down in the three year period is 8%. Based ONLY on this information, should you buy the warranty?
Answer:
The expected value is -$126- you should not buy the warranty.
Step-by-step explanation:
You will pay $350 for a warranty that pays $2800, therefore the net value is $2800 - $350.
E(x)= (2800-350)(.8)+(-350)(.92)= -126
6 Petra wants to buy an electronic reader that costs $160.75 including tax. She has saved $34.75 SO
far and plans to save an additional $10.50 each week. For how many weeks will Petra need to
save $10.50 to have enough money to buy the electronic reader
Answer:
Petra would need to save for 12 weeks to get 126
126+34.75=160.75
Petra need to save $10.50 to have enough money to buy the electronic reader in 12 weeks.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Petra wants to buy an electronic reader that costs $160.75 including tax. She has saved $34.75.
Here, So far and plans to save an additional $10.50 each week.
Let number of weeks to save $10.50 to have enough money to buy the electronic reader = x
So, We can formulate;
⇒ 10.50x + 34.75 = 160.75
Solve for x;
⇒ 10.50x = 160.75 - 34.75
⇒ 10.50x = 126
⇒ x = 126/10.50
⇒ x = 12
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Please help i've been stuck on this for awhile now-
Answer:
3²
Step-by-step explanation:
The factors 3³ in the numerator and denominator cancel each other. Anything divided by itself is 1. Anything multiplied by 1 is unchanged.
[tex]\dfrac{3^3\cdot3^2}{3^3}=\dfrac{3^3}{3^3}\cdot3^2=1\cdot3^2=3^2[/tex]
_____
Additional comment
The exception is that 0 divided by itself is indeterminate.
ill give a braineist if answered... CORRECTLY
what does it mean when the will says tomorrow it's ashes will be scattered to the four winds in the westing game
Answer:
In the document, Westing names the sixteen heirs present as his “nieces and nephews” and says that tomorrow his ashes “will be scattered to the four winds.” He then asserts that his life has been taken by one of his heirs, and he promises that the heir who finds something will receive the inheritance
Step-by-step explanation:
Westing names the sixteen heirs present as his “nieces and nephews” and says that tomorrow his ashes “will be scattered to the four winds.” He then asserts that his life has been taken by one of his heirs, and he promises that the heir who finds something will receive the inheritance.
What are the main events in The Westing Game?The main events in the Westing Game include moving into Sunset Towers, the Halloween dare, the reading of Samuel Westing's will, and the pairing of teams. Finally, the solving of clues and ultimately solving the puzzle.
Who Wins The Westing Game?Several years after that, Turtle stays with Sandy/Westing (as Eastman) while he really dies. She finally wins the prize and goes to play chess with her niece Alice.
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Initial value of 100 increasing at a rate of 5%
Step-by-step explanation:
105 is now total final value
Answer:
105..................
Can someone help me out?
Answer:
d
Step-by-step explanation:
find the values of x and y ????
show step plz
Answer:
x= 90 degrees
y= 47 degrees
Step-by-step explanation:
Since the two sides of this triangle are equal in lengths, you know that it is an isosceles triangle.
So with this information, you know that the angle at the bottom left is also 47 degrees.
x would be equal to 90 degrees because it is perpendicular to the bottom of the triangle (assuming).
A triangle has 180 degrees, so add up the lengths we have to solve for the missing angle, y.
90+47+y=180
y= 43
[tex]{\huge{\boxed{\mathfrak{Answer\:With\:Explanation}}}[/tex]
First we can say [tex]x=90[/tex]°, since x is located at the right angle part.
Now we can make an equation
[tex]90+47+y=180[/tex]
subtract 137 from sides.
[tex]y=43[/tex]
_________________________________
[tex]{\huge{\boxed{\mathfrak{Answer}}}[/tex]
[tex]x=90[/tex]° [tex]y=43[/tex]°_________________________________
David got $130 for his birthday. He spent 20% of that on a pair of shorts. He wants to save ¼ of what he has left. How much does he want to save
Answer:
26
Step-by-step explanation:
130-20%=104
25% of 104 is=26
What is 40% of 40 Million?A. 28,000,000B. 5,000,000C. 16,000,000D. 38,000,000
Answer: It is C 16,000,000
Step-by-step explanation: I am 100% sure.
Write the equation of the line that passes through the points (-7,7) and (-6,-5)
Answer:
y= -12x - 77
Step-by-step explanation:
HOPE THIS HELPS
i need help with this math question
Answer:
D. f(x) = -6x^3 -5x^2 +21x
Step-by-step explanation:
The given zeros mean the function has factors ...
(x -(-7/3))(x -3/2)(x -0)
Multiplying by 6, we can write this as ...
(3x +7)(2x -3)(x) = 6x^3 +5x^2 -21x
And multiplying by -1 gives ...
-6x^3 -5x^2 +21x . . . . . matches choice D
__
Additional comment
The product of factors will be zero when f(x) = 0. This means we can multiply or divide by any convenient factor and the product will remain zero. Effectively, we have multiplied our original factorization by -6 to make the expression match one of the given forms. When we write this final expression as the function f(x), it remains true that the given zeros are zeros (x-intercepts) of f(x).
Troy assembles wooden toya at Tindall's Toy Shoppe. He is paid $1.46 for each snake, $1.11 ab each fan, and $1.74 for each teddy bear. Troy assembled 515 snakes, 982
fans and 669 teddy bears. What Is Troy's gross pay for this week? Round to the nearest cent.
Answer:
$3005.98
Step-by-step explanation:
did the math with calculator
Jack deposited a check into his account for $227.11. Then, he withdrew $227.11 in cash in the same transaction. What is the net amount of Jack's transaction? A. $454.22 B. $227.11 C. $0 D. -$227.11
Answer:
None because he took out all of the money he had
Step-by-step explanation:
(I made the same mistake once......)
The net amount of Jack's transaction is: $0.
So, the correct answer is C. $0.
The net amount of Jack's transaction can be calculated by subtracting the amount he withdrew from the amount he deposited.
Given:
Deposit amount = $227.11
Withdrawal amount = $227.11
Net amount = Deposit amount - Withdrawal amount
Net amount = $227.11 - $227.11
Net amount = $0
Hence, the net amount of Jack's transaction is: $0.
So, the correct answer is C. $0.
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Please help look at the picture below
Answer:
I’m sorry I don’t know
Step-by-step explanation:
☹️☹️☹️☹️☹️
3х + 9 = 2х + 5
is it no solutions, all real numbers, or does x equal something?
Answer:
x = -4Step-by-step explanation:
Given Equation:3x + 9 = 2x + 5Question:Whether x has one solution or infinite solutions or no solutions?Solution:=> 3x + 9 = 2x + 5
(On shifting like terms to one side we get)=> 3x - 2x = 5 - 9
(On subtracting)=> x = - 4
Result:Hence, x has only one solution that is, x = -4 (Ans)
Topic : Linear equations in one variable
Given :
3х + 9 = 2х + 5Solution :
[tex]\qquad \sf \: { \dashrightarrow 3x + 9 = 2x + 5}[/tex]
Transposing variables on one side and constant terms on the other side, we get :
[tex]\qquad \sf \: { \dashrightarrow 3x - 2x = 5 - 9}[/tex]
[tex]\qquad \sf \: { \dashrightarrow x = - 4}[/tex]
Hence, the x is equal to something which is (– 4)please help me and NOOO LINKS
Answer:
whats the shape
Step-by-step explanation:
over the course of 12 hours the temperature changes a total of -16 Celsius what is the average change in the temperature in 1 hour
Answer:
-1.33 degrees Celsius
Step-by-step explanation:
Divide -16 by 12.
Juan used 2/3 of his can of paint to paint his garage and 1/6 of his can
of paint to touch up things around the house. If he used 58 ounces of paint, how
much paint was in the can to start with? Round to nearest whole number. PLS HELP WILL DO ANYTHING
Answer:
the can contained a total of 69.6 oz
Step-by-step explanation:
First, we find the total amount he used.
2/3 + 1/6 = 4/6 + 1/6 = 5/6
He used 5/6 of the can.
He used 58 oz.
That means that 5/6 of the can equals 58 oz.
We don't know the size of the can, so let x = original number of ounces in can.
5/6 of can = 58
5/6x = 58
Multiply both sides of the equation by 6/5 to find x.
6/5 × 5/6x = 6/5 × 58
x = 69.6
Answer: the can contained a total of 69.6 oz
Find the regression equation, letting the first variable be the predictor (x) variable. Using the listed lemon/crash data, where lemon imports are in metric tons and the fatality rates are per 100,000 people, find the best-predicted crash fatality rate for a year in which there are 425 metric tons of lemon imports. Is the prediction worthwhile?
Lemon Imports Crash Fatality Rate
232 16
268 15.7
361 15.4
472 15.5
535 15
The regression analysis evaluates the amount of relationship that exists
between the variables in the analysis.
The regression equation is; [tex]\underline{\overline y = -0.00255 \cdot \overline x + 16.47268}[/tex]The prediction is worthwhile because it gives an idea of the observed Crash Fatality Rate and it is therefore approximately correct.Reasons:
First part;
The given data is presented as follows;
[tex]\begin{tabular}{|cc|c|}Lemon Imports (x) &&Crash Fatality Rate\\232&&16\\268&&15.7\\361&&15.4\\472&&15.5\\535&&15\end{array}\right][/tex]
The least squares regression equation is; [tex]\overline y = b \cdot \overline x + c[/tex]
Where;
[tex]b = \mathbf{\dfrac{\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) }{\sum \left(x_i - \bar x\right )^2 }}[/tex]
[tex]\overline y[/tex] = The mean crash fatality = 15.52
[tex]\overline x[/tex] = The mean lemon import = 373.6
Therefore;
[tex]b = \dfrac{-171.36 }{67093.2 } = -0.00255[/tex]
c = [tex]\overline y[/tex] - b·[tex]\overline x[/tex] = 15.52 - (-0.00255)×373.6 = 16.47268
Therefore;
The regression equation is [tex]\underline{\overline y = -0.00255 \cdot \overline x + 16.47268}[/tex]Second part;
When the imports is 425 metric tons of lemon, we have;
[tex]\overline y[/tex] = -0.00255 × 425 + 16.47268 = 15.38893 ≈ 15.4
Therefore;
When the import is 425 metric tons, the Crash Fatality Rate ≈ 15.4
Given that the predicted value is between the values for 268 and 535, we
have that the prediction is approximately correct or worthwhile
The prediction is worthwhile
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Solve 7,030 ÷ 3 using the division algorithm ?????????????????
Answer: 2,343.3333 repeating, or just 2,343 1/3
Step-by-step explanation:
If you divide, your answer comes out to be 2,343.3333 repeating or 2,343 1/3.
what is the answer of 3125 ÷ 25 and show how you got the answer
Answer:
125
Step-by-step explanation:
because 3125 divided 25 equals 125.
how do you want me to show you how i divided?
Answer:
125 is the answer, you can check this by simply multiplying 125 by 25, which will give you 3125.
Step-by-step explanation: