Answer:
1)
x = 1
y = -3
2)
x = 3 or x = -3
Step-by-step explanation:
1)
System of equations, we plug in y to the second equation
[tex]4x + 2(4x-7) = -2\\4x+8x-14 = -2\\12x = 12\\x=1[/tex]
We then plug x back into the first equation to find y
[tex]y = 4(1) -7\\y = -3[/tex]
2)
[tex]4x^2 +3=39\\4x^2=36\\x^2=9\\x=3, -3[/tex]
Use the functions and the scenario to solve the problem.
f(x)=1/2x+6
g(x)=x−3
Shiloh and Leanne are asked to evaluate f(x)−g(x).
Shiloh suggests f(x)−g(x)=(x−3)−(1/2x+6)=1/2x−9.
Leanne suggests f(x)−g(x)=(12x+6)−(x−3)=−12x+9.
Evaluate each student's answer.
Select two answers. Select the correct evaluation of Shiloh's work and the correct evaluation of Leanne's work.
The function f(x) - g(x) is an illustration of a composite function
Leanne's end result of f(x) - g(x) = -1/2x + 9 is correct
How to estimate the student's answer?The functions are given as:
f(x) = 1/2x + 6
g(x) = x - 3
The function f(x) - g(x) is calculated using:
f(x) - g(x) = 1/2x + 6 - x + 3
Collect like terms
f(x) - g(x) = 1/2x - x + 6 + 3
Evaluate the like terms
f(x) - g(x) = -1/2x + 9
By comparing the above solution to the students' response, we can see that:
Leanne's end result of f(x) - g(x) = -1/2x + 9 is correct
Read more about composite functions at:
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(Look at screenshot)
7. The graph represents the height of a passenger car on a ferris wheel, in feet, as a
function of time, in seconds.
Use the graph to help you:
a. Find H(0).
b. Does H(t)=0 have a solution? Explain how you know.
c. Describe the domain of the function.
d. Describe the range of the function.
#1
Clear shown in graph
H(0)=5#2
No
At. no where graph passes through origin so y intercept is not 0 at anywhere
#3
Domain is x values
Domain =[0,oo)#4
Range is y values set
Range=[5,50]
Does the point (-5, 10) satisfy the inequality y = 5x + 9?
Yes or no
Answer:
no
you can subsitute x = -5 into y= 5x+9 and the ans should be -16 instead of -10
so it does not satisfy
Hello!
In order to see whether or not a point satisfies an equation, just plug in the values:-
Instead of y, plug in 10:-
10=5x+9
Instead of x, plug in -5:-
10=5(-5)+9
Solve:-
10=-25+9
10=-16
See? We have a false statement.
Hence, this point does not satisfy the inequality.
I hope it helps you.
If you have any queries regarding my answer, please comment :)
[tex]\bf{CupcakeRealm8701~:)}[/tex]
I NEED HELP ASAP AND WILL GIVE BRAINLIEST !!
At a carnival, tickets were given to the visitors for games and rides. The ratio of the number of adults
to the number of children was 2: 5. Among the children, the ratio of
the number of girls to the number of boys was 1: 3. Each adult received 2 tickets
received 4 tickets. A total of 2976 tickets were given out.
(A) what fraction of the visitors are boys? Express your answer in its simplest form.
(b) How many more boys than girls were there at the carnival?
A worksheet contains over 400 rows. The first 10 rows contain input data, and functions containing summary statistics are in the last 10 rows. What is the most efficient method to see the input area and summary statistics at the same time without having to scroll back and forth between sections?.
The most efficient method to see the input area and summary statistics is to use the split command.
What is statistics?It should be noted that statistics is the branch of mathematics that deals with data collection, organization, and presentation.
In this case, the most efficient method to see the input area and summary statistics is to use the split command and adjust one pane to see the input section and another pane to see the summary statistics.
Learn more about statistics on:
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MATH: If Mang Mario have 36 ducklings and 24 chicks. What is the greatest number of each pet that he put inside the basket, if the basket has the same number of pets? Find its Greatest Common Factor (GCF) using Prime Factorization.
Answer:
I don't know because I can't understand English language
Answer:
12.
Step-by-step explanation:
Prime factors:
36 = 2*2*3*3
24 = 2*2*2*3
Picking out the commo factors:
GCF = 2*2*3 = 12.
Solve for x and round to nearest tenth please:)
Answer:
Step-by-step explanation:
[tex]Sin \ 23^ \circ = \dfrac{opposite \ side}{hypotenuse}\\\\[/tex]
[tex]\sf 0.3907 = \dfrac{ x}{7}\\\\\\0.3907*7 =x[/tex]
x = 2.7
Answer:
x = 2.7 to nearest tenth.
Step-by-step explanation:
sin 23 = x / 7
x = 7 sin 23
x = 2.735
Given f(x)= 2x^3+kx-1, and x+1 is a factor of f(x), then what is the value of k?
Answer:
put x=-1, and the rest will be easy
If x + 1 divides f(x), this means x = -1 is a root of f(x), i.e. f(-1) = 0. Plugging in x = -1 gives
f(-1) = 2 (-1)³ + k (-1) - 1 = -3 - k = 0
Solve for k; you end up with k = -3.
In given figure ,AD,BE and CF are the medians of triangle ABC. Prove that AB vector+BEVector+CF vector = 0
Need fast
Exam questions
Answer:
they all meet at them same poin
Step-by-step explanation:
Find the value of x.*
20
48
36
60
Answer:
B. 48Step-by-step explanation:
Use the ratio of corresponding sides of similar triangles
x/64 = (100 - 64)/xx/64 = 36/xx² = 64*36x² = 8²*6²x = 8*6x = 48Correct choice is B
Rest Hypotenuse part of triangle=100-64=36
Now
x²=64(36)x²=8(8)(6)(6)x²=8²6²x=8(6)x=48What is the volume of the rectangular prism in cubic yards?
The volume of the rectangular prism is 1120 yd³.
What is a prism?A prism is a solid geometric figure whose two ends are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms.
To calculate the volume of the rectangular prism, we use the formula below.
Formula:
V = LWH.......... Equation 1Where:
V = Volume of the rectangular prismL = Length of the prismW = Width of the prismH = Height of the prism.From the question,
Given:
L = 14 yardsW = 8 yardsH = 10 yards.Substitute thee values into equation 1
V = 14×8×10V = 1120 yd³Hence, The volume of the rectangular prism is 1120 yd³.
Learn more about prism here: https://brainly.com/question/12691050
Calculate the monthly lease payment for a 36-month lease on a car with a $29,000 msrp, a 79% residual value, and a money factor of 0.00365. a. $358.64 b. $128.08 c. $169.17 d. $105.85 please select the best answer from the choices provided a b c d
Answer:
A
Step-by-step explanation:
i did this before and got it correct
Find the volume of a cone with a raduia of 13 and a height of 32
the volume is 5663.24436
PLEASE HELP I WILL GIVE BRAINLY TO FIRST GOOD ANSWER
Answer:
(x + 8)(x + 4)
Step-by-step explanation:
x² + 12x + 32 Rewrite
x² + 4x + 8x + 32 Factor
x(x + 4) 8(x + 4)
(x + 8)(x + 4) Final answer
Hope this helps!
Step-by-step explanation:
if x=1 --> 1 + 12 + 32 = 45
if x=2 --> 4+ 24 + 32 = 60
if x=3 --> 9+36+32 = 77
if x=4 --> 16 + 48 + 32 = 96
...
so, with the same logic we'll find the equation:
(x + 8)(x + 4)
(because it's related to each of the equations on the top )
I'm not sure if this is what you're looking for, if not tell me in the comments and I'll change my answer. Otherwise, I hope this answers your problem :)
Translate this phrase into an algebraic expression.
50 less than twice a number
Use the variable n to represent the unknown number.
Answer:
2n - 50
n the unknown number
twice = 2n
50 less than it = 2n - 50
Step-by-step explanation:
I need help asp pls!!!!
Answer:
y= -60x+ 200
Step-by-step explanation:
Given: Initial distance from Kingston = 200 miles
Distance from Kingston after 2 hours= 80 miles
Step 1:
The general model for linear equations is given as:
y= ax+ b
where
a= slope
b= y-intercept
Step 2:
The y-intercept represents the initial value: 200 miles from the Kingston
b= 200
Therefore,
y= ax+ 200
Step 3:
As the car gets closer to Kingston, the distance keeps decreasing.
The car having covered 80miles need to cover another 120 miles after 2 hours
Hence, the slope would be negative
Slope:
a= -120 miles/2 hours
a=-60
The model therefore is:
y= -60x+ 200
Final answer: Option (D)
The model is : y= -60x+ 200
What is −1/8÷7/24?
Enter your answer in the box as a fraction in simplest form.
A local maximum of the function f(x) occurs for which x-value?
Answer:
-4
Step-by-step explanation:
This is according to my sense. please consider other answers as well
Find the missing sides (pls)
Step-by-step explanation:
27° + c = 180° ( supplementary angle )
c = 180° - 27
c = 153°
Now,
b = c ( vertically opposite angle )
b = 153°
PLS HELP I'LL GIVE BRAINLIEST
Expand The Expression: -4(8+5t)
Answer:
[tex]\Longrightarrow:\boxed{\sf{-32-20t}}[/tex]
Step-by-step explanation:
Use the distributive property to expand the expression.
Distributive property:
→ A(B+C)=AB+AC
-4(8+5t)Multiply.
→ -4*8=-32
⇒ -4*5t=-20t
Rewrite the problem down.
→ = -32-20t
Therefore, the correct answer is -32-20t.I hope this helps you! Let me know if my answer is wrong or not.
Answer:-32-20t
Step-by-step explanation:
-4 times 8 is -32 and -4 times 5t is -20t
Hope this helps! :)
The table shows the possible outcomes of spinning the given
spinner and tossing a fair coin. find the probability of spinning a 1 and tossing a
head.
5
3
4
1 2 3 4 5
h1,
h2,h 3, 4, 5,h
t 1, 2, 3, t4, t5,t
the probability of spinning a 1 and tossing a head is
Spinning the spinner and tossing the coin is an illustration of probability
The probability of spinning a 1 and tossing a head is 0.10
How to determine the probability?From the table, we have the following parameters:
Total outcomes, n = 10
A 1 and a head, n(H1) = 1
So, the probability of spinning a 1 and tossing a head is:
P(H1) = n(H1)/n
Substitute known values
P(H1) = 1/10
Evaluate the quotient
P(H1) = 0.10
Hence, the probability of spinning a 1 and tossing a head is 0.10
Read more about probability at:
https://brainly.com/question/251701
How long to have 1 bitcoin when you put in 1 a day with a growing rate of 3.3% per 3 months. Current price of bitcoin 39,110. Each mont is 30 days.
Answer:
5 years
Step-by-step explanation:
help me please thank you soo much
The ordered numbers from least to greatest are 33/100 = 0.33, 4/10 = 0.4, 5/10 = 0.5, 6/100 = 0.06, 3/4 = 0.75.
How do you convert fractions to decimals?Divide the top number or numerator into the bottom number or denominator.
6/100 = 0.065/10 = 0.54/10 = 0.43/4 = 0.7533/100= 0.33How to organize the numbers?When organizing decimal numbers you need to follow the same rules than when organizing regular numbers. For example, 0.5 is greater than 0.4 because 5 is greatest than 4.
Based on this, the correct order is:
33/100 = 0.334/10 = 0.45/10 = 0.56/100 = 0.063/4 = 0.75Learn more about numbers in: https://brainly.com/question/17429689
Round 2,034,627,105 to the nearest ten thousand.
Answer:
2,034,630,000
Step-by-step explanation:
2 is in the ten thousand place which means you look to the right which is a 7 which means to round up to get 2,034,630,000
On average 113,204 aluminum cans are recycled in a minute. approximately how many cans will be recycled in 16 days? (express your answer in scientific notation.) a. 2.61 times 10 superscript 9 aluminum cans b. 4.35 times 10 superscript 7 aluminum cans c. 1.09 times 10 superscript 8 aluminum cans d. 1.63 times 10 superscript 8 aluminum cans
The number of aluminum cans that will be recycled in 16 days in scientific notation is 2.61 × 10⁹.
What is multiplication?It is also known as the product. If the object n is given to m times then we just simply multiply them.
On average 113,204 aluminum cans are recycled in a minute approximately.
Then the number of cans can be recycled in 16 days.
[tex]\rm Number \ of \ cans = 113,204 \times 24 \times 60 \times 16 \\\\Number \ of \ cans = 2.608 \times 10^9 \approx 2.61 \times 10^9[/tex]
More about the multiplication link is given below.
https://brainly.com/question/19943359
Answer:
its not C just took test and it didnt tell me answer
Step-by-step explanation:
Solve the quadratic equation by using a numeric approach.
0.02x squared + 0.1 x - 2 = 0
a.
x = 2.3 and x = -29.2
c.
x = 5.6 and x = -12.2
b.
x = 7.8 and x = -12.8
d.
x = 1.3 and x = -22.6
Answer:
The option b) is correct (x = 7.8 and x = -12.8)
For the verification picture is below
I hope my answer helps you.
Write a formula for function g in terms of function h.
Answer:
g(x) = h(x + 7) + 5Step-by-step explanation:
Compare the corresponding points, the best is vertices
y = h(x) ⇒ (- 2, - 7)y = g(x) ⇒ (5, - 2)Find the difference of coordinates, the rule of translation right and up
x = 5 - (-2) = 7 y = - 2 - (- 7) = 5The formula of g(x) in therms of h(x) is:
g(x) = h(x + 7) + 5Answer:
g(x) = h(x - 7) + 5
Step-by-step explanation:
Vertex of a parabola
The turning point (stationary point) of the curve.
the minimum point of a parabola that opens upwardsthe maximum point of a parabola that opens downwardsTo find the series of translations that transform the graph of y = h(x) onto y = g(x), compare the vertices of both graphs.
Vertex of h(x) = (-2, -7)
Vertex of g(x) = (5, -2)
Therefore, y = h(x) has been translated 7 units to the right and 5 units up.
Translations
For a > 0
[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
Therefore:
h(x) translated 7 units right = h(x - 7)h(x - 7) translated 5 units up = h(x - 7) + 5Therefore, the formula for g(x) in terms of h(x) is:
g(x) = h(x - 7) + 5
Learn more about transformations here:
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Jimmy is playing a game at a state fair, where he is throwing a dart at a target. For each throw, Jimmy can choose to throw the dart at a rectangular target or at a circular target. To score a point during the game, Jimmy must hit the bulls-eye of the target that he chooses. So far, Jimmy has thrown the dart at the rectangular target 9 times, and he has thrown the dart at the circular target 11 times.
When Jimmy has thrown the dart at the rectangular target, he has missed the bulls-eye 6 times. When Jimmy has thrown the dart at the circular target, he has missed the bulls-eye 9 times.
Based on the information above, if Jimmy's goal is to score a point on his next throw, which target should he choose?
Using proportions, it is found that Jimmy should target the rectangular target, as he has hit a higher proportion of throws there.
What is a proportion?A proportion is a fraction of a total amount.
In the rectangular target, he has hit it 3 out of 9 times, hence the proportion is:
pR = 3/9 = 0.3333.
In the circular target, he has hit it 2 out of 11 times, hence the proportion is:
pC = 2/11 = 0.1818.
Due to the higher proportion of hits, he should throw at the rectangular target.
More can be learned about proportions at https://brainly.com/question/24372153
Find the slope of the line that
passes through (4, 7) and (2, 10).
Simplify your answer and write it
as a proper fraction, improper
fraction, or integer.
please help me find m<G
Answer:
m∠G = 60°
Step-by-step explanation:
This is a kite, so its angles sum to 360 degrees. Write an equation adding all of the angles and make them equal to 360:
m∠H + m∠F + m∠E + m∠G = 360
90 + 150 + m∠E + m∠G = 360
Since this is a kite, m∠E = m∠G, so the equation can be represented as:
90 + 150 + 2(m∠G) = 360
Finally, solve by isolating m∠G:
2(m∠G) = 120
m∠G = 60°
