Select the correct answer.
Find the value of g(7) for the function below.
g(x)= 7/8x-1/2
A. 49/8
B. 53/8
C. 60/7
D. 45/8
Answers
Answer:
D. 45/8
Step-by-step explanation:
The value of function g (7) is,
⇒ g(7) = 45/8
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
Function is,
⇒ g(x) = 7/8x - 1/2
Now, Plug x = 7 in above equation,
⇒ g(x) = 7/8x - 1/2
⇒ g(7) = 7/8 (7) - 1/2
⇒ g(7) = 49/8 - 1/2
⇒ g(7) = 49/8 - 4/8
⇒ g(7) = 45/8
Thus, The value of function g (7) is,
⇒ g(7) = 45/8
Learn more about the function visit:
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Related Questions
What is the slope of the line whose equation is y-4=(x-2)?
6
S
3 2
1
-5-5-32
+
23
5 x
2719 2
Answers
Answer:
1
Step-by-step explanation:
y-4=(x-2)
This equation is in point slope form
y-y1 = m(x-x1)
where m is the slope
The slope is 1
y - 4 = x - 2
y = x + 2
Slope-intercept form is y = mx + b, where m is the slope and b is a constant.
Here, m = 1 and b = 2. Therefore, the slope is 1.
A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 50% of this population prefers the color green. If 15 buyers are randomly selected, what is the probability that exactly a third of the buyers would prefer green?
Answers
Answer:
0.09
Step-by-step explanation:
Given that 50% of this population prefers the color green.
Let p the probability that one person selected from the population prefer the green color of the car. So,
p=0.05
There is only two chance, any person either prefer the green color or not, assuming this holds true for every person, so the mentioned population can be assumed as Bernoulli's population.
By using Bernoulli's theorem, the probability of exactly r success of n randomly selected from the Bernoulli's population is
[tex]P(r)=\binom{n}{r}p^{r}{(1-p)}^{n-r}\cdots(i)[/tex]
Here, 15 buyers are randomly selected, so, n= 15 and
[tex]r= \frac1 3 \times 15=5[/tex]
So, by using equation (i), the probability that exactly 5 buyers would prefer green out of 15 randomly selected buyers is
[tex]P(r=5)=\binom{15}{5}(0.5)^{5}{(1-0.5)}^{15-5}[/tex]
[tex]=\binom{15}{5}(0.5)^{5}{0.5}^{10}[/tex]
[tex]=\binom{15}{5}(0.5)^{15}[/tex]
=0.0916
Hence, the probability that exactly 5 buyers would prefer green out of 15 randomly selected buyers is 0.09.
Tehara has read 115 pages of a 305 page book she reads 10 pages each day how many days will it take to finish
Answers
Answer:
19 days
Step-by-step explanation:
305-115=190 190/10=19
Evaluate
p
+
(
−
q
)
−
2
p
Answers
4.2.32
Richard and Teo have a combined age of 41. Richard is 5 years older than twice Teo's age. How old are Richard and Teo?
Richard is years did, and Teo is years old.
Type whole numbers.)
Answers
Answer:
Step-by-step explanation:
Let R = Richard, T = Teo.
Richard and Teo have a combined age of 41. This means that if you add their ages together you get 41:
R + T = 41
We are also told Richard is 5 years older than twice Teo's age:
R = 2T + 5
You can substitute " R " into R + T = 41
R + T = 41
2T + 5 + T = 41
3T + 5 = 41
Subtract 5 from both sides
3T = 41 - 5
3T = 36
Divide both sides by 3 to find T.
T = 36/3 = 12
We know that R + T = 41, so
R = 41 - T
R = 41 - 12
R = 29
Answer:
Richard is 29 and Teo is 12
Step-by-step explanation:
let Teo's age be n then Richard is 2n + 5 ( 5 more than twice Teo's age )
Thus their combined ages are
n + 2n + 5 = 41 , that is
3n + 5 = 41 ( subtract 5 from both sides )
3n = 36 ( divide both sides by 3 )
n = 12
Then
Teo is 12 years old and Richard is 2(12) + 5 = 24 + 5 = 29 years old
Select True or False. The expression 3x − 4(2x − 5) is equivalent to the expression 20 − 5x. True False
Answers
Answer:
true
Step-by-step explanation:
3x − 4(2x − 5)
Distribute
3x - 8x +20
-5x +20
20 -5x
This is equal to 20 -5x
Answer:
The answer would be true.
Step-by-step explanation:
Hope this help and I took the test and got this correct! :)
Identify the number of terms in this polynomial.
5k^5+7k-2
Answers
Answer:
cuatro terminos
⚠️HURRY⚠️
write an equation that matches this graph in Slope-Intercept Form
Answers
Answer:
y = -1/4x+2
Step-by-step explanation:
Answer:
y = -1/4x + 2
Step-by-step explanation:
We can tell that the line passes trough the point (0, 2), so the y-intercept is 2.
Let's calculate the slope by using rise over run. We see for every one unit down, it goes 4 units to the right. It also goes downward, so the slope is negative. So the slope is -1/4. Put it together...
y = -1/4x + 2
Hope this helps!
The tables given are for the linear functions f(x) and g(x). What is the input value for which f(x)=g(x) is true?
x=____
Answers
-1, it's fairly clear just from the table...
Answer:
-1
Step-by-step explanation:
A rectangular table measures 3 feet by 4 feet. Andres rotates the the table a quarter-turn clockwise. What is the length in feet of the shorter side of the table after the rotation?
Answers
Answer:
3 ft
Step-by-step explanation:
The ratio of 6th graders to 7th graders in a class of 35 students is 3:4. How many more 7th graders than 6th graders are in the class?
Pls help!
Answers
Answer:
5 7th Graders
Step-by-step explanation:
Multiply 5 to 3 and 4 and add them up and you get 35. Then subtract 20-15=5 7th Graders
A line passes through the point (-2, 7) and has a slope of -5.
What is the value of a if the point (a,2) is also on the line?
Answers
Answer:
-1
So the answer would be (-1, 2)
Hopefully, this is correct, sorry if not.
8 to the 4th power times 2 divided by 8 to the eleventh power
Answers
Answer:
17179869191.3 (really i used a calculator, it was too hard)
Step-by-step explanation:
8^4 is 4096
2/8 is .25
.25^11 is 2.38418579e-7
4096/2.38418579e-7
17179869191.3
Multiply. Use the greatest common factor to write each answer in simplest form. 32 x 3/8
Answers
Answer:
12
Step-by-step explanation:
3 Comcast charges $50 per month for basic cable and $5.00 for each premium movie channel. Xfinity charges $41 per month for the same cable package and $6.50 for each premium movie channel. B. Write an inequality to represent how many movie channels a customer needs to purchase from Xfinity Cable to pay at least as much as a Comcast subscriber.
Answers
Answer:
18Step-by-step explanation:
let us model the cost
let the cost be y and the number of movie channel be x
for 3 comcast
y=50+5x-----1
and for Xfinity
y=41+6.5x-------2
to solve for the number of movie channel so that the two (3 comcast and Xfinity) will pay the same, we need to equate 1 and 2
50+5x=41+6.5x
50-41=6.5x-5x
9=0.5x
x=9/0.5
x=18
Which graph represents an exponential growth function? On a coordinate plane, a line rapidly decreases and then levels off. On a coordinate plane, a line increases gradually. On a coordinate plane, a line decreases gradually. On a coordinate plane, a line is level and then curves upwards rapidly.
Answers
The answer is On a coordinate plane, a line is lever and then curves upwards rapidly (D).
The graph that represents an exponential growth function is (d) on a coordinate plane, a line is level and then curves upwards rapidly.
What are exponential functions?Exponential functions are functions that are defined as [tex]y = ab^x[/tex]
Where:
b represents the ratea represents the initial valueAssume that a has positive value, and the b is greater than 1.
Then it means that, the function is an exponential growth function.
An exponential growth function that has a positive initial value will start with a level line, then curve up
Hence, the graph that represents an exponential growth function is (d)
Read more about exponential growth function at:
https://brainly.com/question/13223520
need answer asap Whole numbers: ___ + ___ + ___ = _____ cups of soup mix.
Answers
Answer:
1+2+3=6 lol jk i dont have the numbers that they gave you
Step-by-step explanation:
T = CB-5, for C
C=
What’s the answer
Answers
Answer:
C=t/b + 5/b
Step-by-step explanation:
Please make me Brainliest
How many 1/3 cup servings are in a 12-cup container of juice?
Answers
Answer:4
Step-by-step explanation:i guess because 4 time 3 if im wrong then 1b time s 12
What is the simplified fractional equivalent of the terminating decimal 0.32?
It’s 8/25
Answers
Answer:
yes
Step-by-step explanation:
8/25= 0.32 which is a terminating decimal
Answer: 8
Over
25
Step-by-step explanation:
Select all the zeros of the function f(x)=(x+10)(x−5)(x+1).
CHOICES - SELECT ALL THAT APPLY:
-10
-5
-1
0
1
5
10
SHOW YOUR WORK
Answers
Answer:
-10, -1, 5
Step-by-step explanation:
The zeroes of the function are -
x = -10, 5, -1
We have the following function -
f(x) = (x + 10)(x − 5)(x + 1)
We have to determine its zeroes.
Find the Zeroes of thee function -f(x) = (x + a)(x + b)In order to find the zeroes of the function, equate f(x) = 0.
(x + a)(x + b) = 0
(x + a) = 0 or (x + b) = 0
x = - a or x = -b
Zeroes = -a , -b
According to question, we have -
f(x) = (x + 10)(x − 5)(x + 1)
Equate f(x) = 0
(x + 10)(x - 5)(x + 1) = 0
(x + 10) = 0 or (x - 5) = 0 or (x + 1) = 0
x = -10 x = 5 x = -1
Hence, the zeroes of the function are -
x = -10, 5, -1
To solve more questions on Zeroes of function, visit the link below -
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What is the distance between-3.8 and 4.2
Answers
Answer:
2.23606797749979
Midpoint
(2,−4.5)
Slope
0.5
x intercept
11.00
y intercept
−5.50
Step-by-step explanation:
d = √ ((X2-X1)2+(Y2-Y1)2)
d = √ (1-3)2+(-5--4)2
d = √ ((-2)2+(-1)2)
d = √ (4+1)
d = √ 5
The distance between the points is 2.23606797749979
The midpoint of two points is given by the formula
Midpoint= ((X1+X2)/2,(Y1+Y2)/2)
Find the x value of the midpoint
Xm=(X1+X2)/2
Xm=(3+1)/2=2
Find the Y value of the midpoint
Ym=(Y1+Y2)/2
Ym=(-4+-5)/2=-4.5
The midpoint is: (2,-4.5)
Graphing the two points, midpoint and distance
P1 (3,-4)
P2 (1,-5)
Midpoint (2,-4.5)
The length of the black line is the distance between the points (2.23606797749979)
Find the slope of the line connecting the two points
Slope = (Y2-Y1) = (-5--4) = (-1) = 0.5
(X2-X1) (1-3) (-2)
Find the equation of the line passing through the two points
The general equation for a straight line is
y = mx + b
Where m represents the slope of the line which we found in the previous step to be 0.5
y = 0.50x + b
We substitute x and y for the values from one of our points (3,-4)
-4 = .50×3 + b
-4 = 1.50 + b
-4-1.50 = b
-5.50 = b
Knowing both b and m, we can contruct the equation of the line
y= 0.50x-5.50
X and Y intercepts
The x-intercept is a point on the graph where y is zero
Using the equation we found in the previous step and substituting zero for y
y= 0.50x-5.50
0= 0.50x-5.50
-0.50x= -5.50
x= -5.50/-0.50 = 11.00
The x intercept for this straight line is 11.00
The y-intercept is a point on the graph where x is zero
Using the equation we found in the previous step and substituting zero for x
y= 0.50×0-5.50
y= -5.50
The y intercept for this straight line is -5.50
when solving the equation x3 = 22.
Answers
Answer:
x=7 1/3
Step-by-step explanation:
Solve the following inequality: 2x^2 + x - 1/x^2-x<1
Answers
Answer:
−1<x<0 or 0<x<1
Step-by-step explanation:
Answer:
I believe it is : -1 < x < 0 OR 0 < x < 1
Or if you want it in interval notation form:
(-1, 0) ∪ (0, 1)
Step-by-step explanation:
hope this helps, lol! <3
What is the domain of f(x)?
O {xl-4
O {xl-3 < x < 4}
O {x|1 < x < 4}
O {x|2 < x < 4}
Answers
I hope this helps you
Find the arc length
Answers
Answer:
5π
Step-by-step explanation:
Arc length = 1/4 * circumference
Circumference = 2*pi*r = 2*pi*10 = 20pi
Arc length = 1/4 * 20pi = 5pi
Solve the following absolute value equation
| x+5 | = 11
Answers
Answer:
X is 6 or -6
Step-by-step explanation:
In absolute value it makes everything positive
Answer:
x = 6
Step-by-step explanation:
Simplify: x + 5 = 11Subtract 5 from each side, so it now looks like this: x = 6I hope this helps!
Is there a way to rewrite this? It asked me to create an equation, and I did: 180([tex]x^{2}[/tex]). I checked it and it said it was wrong, however, I used the same equation to get the answer for the second question and it was correct. I thought that maybe there was another way to write the equation, so I used the equation [tex]\frac{y2-y1}{x2-x1}[/tex] and had no luck. Is there a way to write it that I don't know about?
Answers
Step-by-step explanation:
Hope this helps, and sorry for the image, my phone is glitchy.
cheers!!!
Which one of the relationships described is not proportional?
a.
Cedrick earns $9.75 for each day he pet-sits; is the relationship between the money he earns and the days he works proportional?
b.
Marianne is 15 years old and her brother is 5 years old; is the relationship between their ages proportional?
c.
The length of the side of a square and its perimeter; is the relationship between the measurements proportional?
d.
A car travels at a constant speed of 35 miles per hour is the relationship between the distance and the time proportional?
Answers
Answer:
Marianne is 15 years old and her brother is 5 years old; is the relationship between their ages proportional?
Step-by-step explanation:
i just did it
If window washers can wash 15 windows in 18 minutes, how long will it take them to wash 10,00
Answers
Answer:
1200
Step-by-step explanation:
15/18 * 1000/x
x = 1200
Answer:
1200 minute / 20 hour
Step-by-step explanation:
[tex]1000 \times 18 = 18000[/tex]
[tex]18000 \div 15 = 1200[/tex]