I need help with this
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Answer:
A. 8
Step-by-step explanation:
We are given the functions:
[tex]f(x)=\sqrt{x}\\\\g(x)=7x+b[/tex]
We are told that on a standard (x, y) coordinate plane that y = f(g(x)) passes through the point (4, 6). In order to solve for b, we need to figure out what f(g(x)) is equal to.
As with a regular function like the two above, f(g(x)) means you are substituting x with g(x) in function f. The problem gave us the two functions, so I will demonstrate what I mean.
[tex]f(g(x))=\sqrt{(7x+b)}[/tex]
The problem again tells us that y = f(g(x)) goes through (4, 6). Substitute those values for their respective variables and solve for b.
[tex]y=f(g(x))\\\\y=\sqrt{(7x+b)}\\\\6=\sqrt{(7(4)+b)}\\\\6=\sqrt{(28+b)}\\\\(6)^2=(\sqrt{(28+b)})^2\\\\36=28+b\\\\36-28=28+b-28\\\\8=b[/tex]
Therefore, the value of b is equal to 8.
triangles one and two are both isosceles meaning they each have two equal sides they each have a 30-degree angle explain why these triangles do not have to be similar to each other
Answer:
See below for answers
Step-by-step explanation:
These triangle do not have to be similar to each other because the 30° angles may not be located in the same place.
For example, place one 30° at the vertex of the triangle which is located where the two equal legs of the isosceles triangle are joined. The triangle angles measure are 30°, 75°, and 75°.
But if the 30° angle is one angle at the base of the isosceles triangle, then the angles measure are 30°, 30°, 120°.
30°
Δ Δ
30°
Five years ago, a father was 3 times as old
as his son, now their combined ages amount
to 110 years. How old are they?
Answer:
Father is 80 years old and the son is 30
Step-by-step explanation:
Let father be x and son be y:
x-5 = 3(y-5)
x = 3y-10 ------ eq1
x+y = 110
x = 110 -y -------- eq2
Now if we combine the 2 equations we get:
3y + y = 110+10
y=30 (sons age)
Substituting in equation 2 we get:
x = 110 - 30
x = 80
Therefore, the fathers age is 80 and the sons age is 30.
solve the equation.
1/2x^2=32
Answer:
x = ± 8
Step-by-step explanation:
[tex]\dfrac{1}{2}x^{2}=32[/tex]
Multiply the equation by 2
x² = 32*2
x² = 64 = 8²
x = 8
You are paid 82.50 for 7 1/2 what is ur rate of par
Just don’t understand the question to get the answer
Answer:
not sure if u saw the comment but
7 and 8 are congruent, and 8 is congruent to 10
that maybe the rest of the answer
Determine whether the lines are parallel, perpendicular, or neither.
2x+y=6
y=1/2x−7
Answer:
Step-by-step explanation:
2x + y = 6
y = -2x + 6
Comparing this with y = 1/2x - 7
Multiplying the 2 slopes:
-2 * 1/2
= -2/2
= -1
- this means that the 2 lines are perpendicular.
can someone please help me i’m not doing so well in this new topic
Answer:
m<H= 80*
m<P= 80*
m<I= 33*
M<Q= 33*
M<J=67*
M<R=67*
Step-by-step explanation:
Given States that ️ HIJ = ️ PQR
<H=<P
2x=x+40
2x-x=x-x+40
x=40
<I=<Q
<J=<R
ALL TRIANGLES MEASURE 180*
Y= the measure of <R and <J
2x+33+y=180
2(40)+33+y=180
80+33+y=180
113+y=180
113-113+y=180-113
y=67
Answer:
See answer below
Step-by-step explanation:
If ΔHIJ ≅ ΔPQR ,then you know six congruent parts:
∠H ≅ ∠P ; ∠I ≅ ∠Q; ∠J ≅ ∠R and HI ≅ PQ; HJ ≅ PQ ; IJ ≅ QR
∠H ≅ ∠P ∠I ≅ ∠Q
2x = x + 40° ∠I = 35°
x = 40°
So ∠H = 2x = 2(40) = 80° Δ HIJ = 180°
∠P = x + 40 = 40 + 40 = 80° ∠H + ∠I + ∠J = 180°
∠Q = 35° 80° + 35° + ∠J = 180°
∠ I = 35° 115° + ∠J = 180°
∠ J = 65° ∠J = 65°
∠R = 65° ∠J ≅ ∠R
Profit of ₹50 Height of 60 cm above the sea 50 km towards south Deposit of ₹1,000 30 m below the sea level A rise in temperature by 15° C
Answer:
1. Loss ₹50
2. - 60
3. 50 km towards North
4. 1000
5. - 30
6. - 15° C
QuestionSolve the system of linear equations by substitution.8x−13y=012x+3=y
Answer:Y=6/37
Step-by-step explanation:
help me with this one guys......
Answer:
[tex]7^-^1[/tex]
Step-by-step explanation:
So, when multiplying numbers with exponents that have the same base, all you have to do is combine the exponents.
5 (m - 3) = 40
What do 5m and m represent?
(Quick Question I NEED REAL QUICK!)
(Thanks)
[tex]5(m -3 ) = 40 \\ = > 5m - 15 = 40 \\ = > 5m = 40 + 15 \\ = > 5m = 55 \\ = > m = 11[/tex]
Therefore, m = 11
5m = 5 × 11 = 55
Answers5m is 55, m is 11.
Hope it helps.
Do comment if you have any query.
Answer:
m=11
5m=55
Step-by-step explanation:
To find the answer to this question, isolate m. Do this by using the properties of equality.
First, distribute the 5 to the terms within the parentheses
5m-15=40Then, add 15 to both sides
5m=55Next, divide both sides by 5
m=11This gives you the solution to both questions. If you want to check the answer, simply plug the variable back in. This gives you, 5(11-3)=40. Once solved this equals 40=40. Therefore, 11 is correct.
Explain what the vertical line test is and how it is used.
Answer:
The vertical line test is a test to determine if a relation or its graph is a function or not. For a relation or graph to be a function, it can have at most a single y-value for each x-value. Thus, a vertical line drawn at any x-position on the graph of a function will intersect the graph at most once.
Step-by-step explanation:
(winks and runs off)
1/6 x 2/3 please help
Answer:
2/18 or 1/9
Step-by-step explanation:
just directly multiply it 2×1=2
6×3=18 so 2/18 simplify 1/9
Phil has a three-year contract for his cell phone service. He pays $572.60 each year to cover everyone and his family. How much will the cell phone service cost over the three-year period
Answer:
$1717.80
Step-by-step explanation:
We are given one clue: He pays $572.60 each year to cover everyone and his family.
We are asked to find how much does Phil have to pay after 3 years. So, we must multiply 572.60 by 3 to find the total cost Phil has to pay after 3 years.
572.60 x 3 = Total cost to pay after 3 years.
=> $1717.80 = Total cost to pay after 3 years.
We can conclude that Phil will have to pay $1717.80 after 3 years.
i need a lot of help and please help i need it
On his bike, Jason can travel 8 miles in 50 minutes.
At this rate, how far can Jason travel in 150 minutes.
Answer:
24 miles
Step-by-step explanation:
50 minutes = 8 miles
100 miles = 16 miles
150 minutes = 24 miles
Answer:
Jason can travel 24 miles in 150 minutes.
Step-by-step explanation:
8= miles. 50&150= mins
8=50.
Your trying to find how many miles Jason can travel in 150 mins. So your going to divide the new amount of minutes to the old amount.
150÷50= 3.
So since 50 can go into 150 3 full times that means you will multiply the original amount of miles by 3 to get your new amount.
3×8= 24
So, if Jason can travel 8 miles in 50 mins (8=50) Then, he can travel 24 miles in 150 mins (24=150)
Hope this wasn't too confusing,
Hope this helps!
A backpacking club can average 2 1/2 miles per hour. At that
rate, how long will it take for a hike of 8 3/4 miles?
Answer:
3.5 hours
Step-by-step explanation:
8.75/2.5=3.5
Answer:
3.5 miles
Step-by-step explanation:
Can you help me with my work select the best estimate of the product of 18*31 =
Explain why the square root of a number or variable can be either positive or negative.
Answer:
Well, the answer is: it depends on what was printed in the problem. The principal square root symbol never has a negative output, so if the test maker printed that symbol, it’s restrictions have to be respected: all square roots then are positive.
Step-by-step explanation:
a number y whose square (the result of multiplying the number by itself, or y ⋅ y) is x. For example, 4 and −4 are square roots of 16, because 4² = (−4)² = 16. Every nonnegative real number x has a unique nonnegative square root, called the principal square root, which is denoted by √(x), where the symbol √( ) is called the radical sign or radix.
Answer/Step-by-step explanation:
The square root could be positive or negative because multiplying two negative numbers gives a positive number. The principal square root is the nonnegative number that when multiplied by itself equals a. The square root obtained using a calculator is the principal square root.
Can someone help me pls I’ll give brainliest to whoever is right no scam links or your getting reported only answer if you know
Answer: 3b + 125 = 157.97
Step-by-step explanation:
The two things contributing to the total cost are the cost of the bags of dog food and the adoption fee, so they need to be added together.
There are 3 bags of dog food at an unknown price, so we need to multiply 3 by an unknown value represented by the variable b.
The $125 adoption fee should be added to the price of the bags of dog food, so add 125. This creates an equation of 3b + 125 = 157.97
Can someone please help me please!!
Answer:
137 i am sorry if incorrect
Step-by-step explanation:
help with this question
Answer:
rate of change from 8 to 32
Step-by-step explanation:
Find $\left(\frac{5}{7}\right)^{3}\left(\frac{4}{5}\right)^{3}$.
Can u answer this?
~fractions
[tex] \large \tt( \frac{ 5 }{ 7 } ) ^ { 3 } ( \frac{ 4 }{ 5 } ) ^ { 3 }[/tex]
[tex] \large \tt = \frac{125}{343}\times \left(\frac{64}{125}\right) [/tex]
[tex] \large \tt = \frac{125\times 64}{343\times 125} [/tex]
[tex] \large \tt = \boxed{\frac{64}{343} } \: ✓[/tex]
~ nice to help you ^^
HelloZZZZ!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
HI!!!
Step-by-step explanation:
giving brainliest to the correct answer
does pineapple belong on pizza
yes or no
if both say yes or no, no ones getting brainliest
yes it does belong on pizza
Ethan sold 2/3 gallon of lemonade. Kayla sold some lemonade too. Together, they sold 1 1/4 gallons. how much did Kayla make
Answer:
7/12
Step-by-step explanation:
How many pounds are in the truck total........!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!⇒
Answer:
1500-8000
Step-by-step explanation:
It depends what type of truck and what its carrying
The number 43.9 is 24% of x. What is the value of x rounded to the nearest whole number?
Answer:
183
Step-by-step explanation:
percentage=actual/base
B=A/P
B=43.9/0.24
B= 182.9=183
The value of x rounded to the nearest whole number is 183.
What is Percentage?In mathematics, a number or ratio that can be expressed as a fraction of 100 is known as a percentage. To find the % of a number, divide it by its value, then multiply the result by 100. Percentage is a relative value that denotes one tenth of any quantity. As one percent (symbolised as 1%) is equal to one tenth of anything, 100 percent stands for everything, while 200 percent refers to double the amount specified.
As per the given data:
Number = 43.9
The given number is 24% of x.
Percentage = (value / total) × 100
By substituting the given data:
24 = (43.9 / x) × 100
x = (4390/24)
x = 182.91
after rounding off to the nearest whole number
x = 183
Hence, the value of x rounded to the nearest whole number is 183.
To learn more on Percentage, click:
brainly.com/question/626448
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