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.
PLS I NEED HELP WITH THIS
Answer:
1/10
Step-by-step explanation:
The fraction 3/5 can be rewritten as one that has 10 as its denominator.
[tex]\dfrac{7}{10}+\left(-\dfrac{3}{5}\right)=\dfrac{7}{10}-\dfrac{6}{10}=\dfrac{7-6}{10}=\boxed{\dfrac{1}{10}}[/tex]
Find the measure of ∠3.
26°
64°
90°
116°
Answer:
90
Step-by-step explanation:
10.
Peter is 1.64 metres tall.
Peter is 18 centimetres taller than Nick.
San
Work out Nick's height in metres.
Answer:
the height of nick is 1.46
Step-by-step explanation:
because to change cm into m we need to divide it by 100so 18/100is 0.18
and total height of Peter is 1.64 so if we -the 0.18then we can get nick's height
Answer:
1.46
Step-by-step explanation:
1.64 to cm is 164
164-18 = 146
146 to meters is 1.46
Lines m and n are parallel. Find the following angle pairs in the diagram. if you cant find any, write none.
Answer:
1. Alternate exterior: None
2. Corresponding angles: None
3. Same side exterior angles: <1 and <5
4. Alternate interior: <3 and <4
5. Same side interior: <2 and <4
Step-by-step explanation:
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (0,0); y = 2/5x + 8
Answer:
(y-0)=2/5(x-0)
2. The perimeter of a rectangle is 56m. The length is two less than four times the width. Find the length.
Answer:
Length=22 cm
Step-by-step explanation:
Perimeter=56 cm
let width=x
According to given condition:
length=4x-2 ...........(A)
Perimeter=2(length+width)
Substitute the values in above formula:
56cm=2(4x-2+x)
56cm=2(5x-2)
56cm=10x-4
(56+4)=10x
60 cm=10x
x=60cm/10
x=6cm
For the value of length :
Substitute the value of x in equation (A):
Length=4x-2
Length=4(6)-2 cm
Length=24-2 cm
Length=22 cm
If you have any confusion in this question, please let me know.
im so confused can someone help me please
Answer:
1. false
2. false
3. false
4. true
Step-by-step explanation:
a quadritilateral always has 4 sides, but it dpesnt HAVE to be a square
a parrellelogram can be any shap as long as its parrelel
a rhombus is always a square, becuase if you turn it around... VIOLA! you get a square.
A number is 5 less than 2 times another number. Their sum is 25. What are the 2 numbers ?
Answer:
I don't understand the question but I think the answer is either 10 or 30
Write an equation for the line gragh
Answer:
see below
Step-by-step explanation:
y=mx+b: slope and intercept
ax+by/c: standard
(x-x1)*m=y-y1: point slope
how to solve:
10 x -7 = 4x + 5
~one variable linear equation
==================
10x - 7 = 4x + 5
= 10x - 7 - 4x = 5
= 10x - 4x = 5 + 7
= 6x = 5 + 7
= 6x = 12
= x = 12 ÷ 6
= x = 2 ✔️
~ nice to help you ^^
SOS l don’t understand help please
I hope you have your answer now
Which of the following is NOT a solution to this system of inequalities?
with examples
Nonsense = report
Answer: Choice D. (0,-2)
Note how this point is in the blue region, but it is not in the red region. The solution must satisfy all of the shaded regions of the system of inequalities. The red and blue regions overlap to form the darker shaded region on the right side (the somewhat grayish purple triangular region). Points in this darkest shaded region are solutions to the system. The points (5,2), (0,3) and (4,0) are all located in this region so they are solutions.
how is the answer 4??
Answer:
see below
Step-by-step explanation:
log sqrt5 (25) = y
we know that loga (b) = c can be rewritten as a^c = b
sqrt(5) ^ y = 25
Rewriting sqrt(5) as 5^1/2 and 25 as 5^2
5^1/2 ^ y = 5^2
we know a^b^c = a^ (b*c)
5 ^ 1/2y = 5^2
1/2y = 2
y = 4
8.If one sheet of paper is 2/5 cm thick, how thick is a packet containing 180 sheets of paper ?
Find the value of x and angle AKB
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
y - 3 = -12(x - 5)
Step-by-step explanation:
This is what point slope form looks like:
y - y1 = m(x - x1)
(5, 3) is our known point, represented as (x1, y1).
Now, just plug in the given slope and point into the equation:
y - 3 = -12(x - 5)
Manny has 48 feet of wood. He wants to use all of it to create a border around a garden. The equation 2 l plus 2 w equals 48 can be used to find the length and width of the garden, where l is the length and w is the width of the garden. If Manny makes the garden 15 feet long, how wide should the garden be?
9 feet
18 feet
30 feet
33 feet
Answer:
Step-by-step explanation:
The Width of the garden will be 9 feet.
Step-by-step explanation:
Given:
Manny has wood =48 feet
Length of the garden = 15 feet
The equation which can be used .
We need to find the width of the garden.
Solution :
Now Length of the garden is given we will substitute in the given equation to find the width.
Now Using Subtraction property we will subtract both side by 30 we get;
Now Using Division Property we will divide both side by 2 we get;
Hence the Width of the garden will be 9 feet.
dude these qts are due in 10 mins pls help!
Answer:
I can't see the last answer choice.
9/LM = 6/4.5
Step-by-step explanation:
9cm is to 6cm as LM is to 4.5cm
9/6 = LM/4.5
Rewriting: 9/LM = 6/4.5
Sort the expressions into the correct categories based on their value. Note that some expressions may not belong to any of the categories.
(help with the circled ones)
Answer:
the answer for (9squared divided by 3) - ( 3 x 5 ) = 12
Step-by-step explanation:
(9squared divided by 3) - ( 3 x 5 ) = 12
9x9 = 81
81 ÷ 3 = 27
27 - (3x5)
3 x 5 = 15
27 - 15 = 12
so it goes in the 12 box
4squared - ( 2 x 3 )
4squared = 4 x 4
4 x 4 = 16
16 - (2 x 3)
2 x 3 = 6
16 - 6 = 10
so it goes in the 10 box
auestion is in the picture, 10 points!
Answer:
y = K/(16z)
Step-by-step explanation:
[tex]K=16yz\qquad\text{given}\\\\\boxed{y=\dfrac{K}{16z}}\qquad\text{divide by the coefficient of y}[/tex]
please help I’ve been stuck on this for an hour
Answer:
-3/5
Step-by-step explanation:
8. The temperature on Monday was -5.4 degrees
Celsius. The temperature on Tuesday was 2.6
degrees less than the temperature on Monday.
What was the temperature on Tuesday?
Answer: -4.1 degrees celsius
Step-by-step explanation:
Start at -1.5 on the number line. Then move 2.6 units to the left to arrive at -4.1
Or you can compute -1.5 - 2.6 = -4.1 to get the same result. When we subtract a number from a negative, you are effectively adding the two values and making the final result negative. So, 1.5+2.6 = 4.1 which turns into -4.1
Find the coordinates of point X if the midpoint of XY is (3,-5) and the coordinates of point
Y is (7,1)
Answer:
(7, -1) maybe...
Please help
??
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Answer:
For the question a i think its b
Step-by-step explanation:
WHAT IS THE VALUE OF Y IN THE EQUATION 2X + 4Y = 8, IF X =0?
Answer:
It must be two
Step-by-step explanation:
Find an expression which represents the difference when (-x+9y) is subtracted from (-6+4y)
Answer:
x - 5y - 6
Step-by-step explanation:
- 6 + 4y - ( - x + 9y) ← distribute parenthesis by - 1
= - 6 + 4y + x - 9y ← collect like terms
= x - 5y - 6
f(x) = x2 – 2x + 3; f(x) = -x + 5
(2, [?]); ([ ], [ ])
Answer:
your answer is, -x+5
Step-by-step explanation:
(b) Given also that x> 1 and x is an integer.
Write down all the possible values of x.
Answer:
X can be any whole or natural number greater than 1 so like 2 could work too but no decimals or fractions or any other irrational numbers such as pi.
Step-by-step explanation:
Hope this works for you. :)
Answer:
Step-by-step explanation:
X greater than or equal to 2 for any positive integer
hey ty if you can answer
Answer:
c (I think it is c, but I am not a 100% sure)
Step-by-step explanation:
x and y have to be same
Have a nice day! :-)
Answer:
a. ∞, -∞
Step-by-step explanation:
The line has negative slope, so the sign of the end value of y will be the opposite of the sign of the end value of x.
x → -∞, y → ∞ . . . . . off the top of the graph as x goes to the left
x → ∞, y → -∞ . . . . . . off the bottom of the graph as x goes to the right
The end behavior is summarized as ...
∞, -∞ . . . . . matches choice A
What is the equation, in standard form, of a parabola that models the values in the table?
PLS HELP!!!
right answer is b
b. y= -3.5x^2-0.5x+4.5