Answer:
[tex](g\circ f)(x)=-6x^2 +8x +7[/tex]
Step-by-step explanation:
The Composite Function
Given f(x) and g(x) real functions, the composite function, named (g\circ f)(x) is defined as:
[tex](g\circ f)(x)=g(f(x))[/tex]
For practical purposes, it's found by substituting f into g.
Given the functions:
[tex]f(x) = 3x^2 - 4x - 1[/tex]
[tex]g(x) = -2x + 5[/tex]
We need to find
[tex](g\circ f)(x)=g(f(x))[/tex]
Replace f into g:
[tex](g\circ f)(x)=-2(3x^2 - 4x - 1) + 5[/tex]
Operating:
[tex](g\circ f)(x)=-6x^2 +8x +2 + 5[/tex]
Reducing:
[tex](g\circ f)(x)=-6x^2 +8x +7[/tex]
Thus,
[tex]\boxed{(g\circ f)(x)=-6x^2 +8x +7}[/tex]
Mr. Clopu buys an 18-month CD that pays 434% simple interest for $5,000. Find the value of the CD at the end of its term.
Answer:
FV= $5,325.8
Step-by-step explanation:
Giving the following information:
Mr. Clopu buys an 18-month CD that pays 4.34% simple interest for $5,000.
To calculate the future value, we need to use the following formula:
FV= (P*r*t) + P
P= $5,000
r= 0.0434/12= 0.00362
t= 18
FV= [(5,000*0.00362)*18] + 5,000
FV= $5,325.8
The value of the CD at the end of its term is $39,060
Given:
Time = 18 month
Principal = $5000
Interest rate = 434%
Future value = ?
Future value = Principal × Rate × Time
= 5,000 × 434% × 18
= 5000 × 434/100 × 18
= 5000 × 4.34 × 18
= 39,060
Therefore, the value of the CD at the end of its term is $39,060
Read more:
https://brainly.com/question/12164462
Please help
Answer
Answer:
STEP 3.) x = 9/8
Step-by-step explanation:
x + 5/8 = 7/4
x + 5/8 - 5/8 = 7/4 - 5/8
= x =9/8
22/50 of a number is what percentage of that number
Answer:
44percent
Step-by-step explanation:
in order to find the percent you just divide the numerator by the denomincator, hope this helps!
-7+8
what is negative 7 plus 8?
Answer:
1
Step-by-step explanation:
You could have just used a calculator tard lol
Answer:
1
Step-by-step explanation:
-7 +8=1 cause you have 1 positive left over
$46.76 for 4 pounds. What is the price per pound?
9514 1404 393
Answer:
$11.69 per pound
Step-by-step explanation:
To find price per pound, divide price by pounds:
$46.76/(4 lb) = $11.69/lb
HURRY (FIND RATE OF CHANGE)
Answer:
G
Step-by-step explanation:
50 dollars is the initial value of 0 deposits
150 dollars is equal to 1 deposit
Can someone help and evaluate this please
Find Each Difference.
1) 2-(-2)=
2) (-1)-10=
3) 8-7=
4) (-8)-(-6)
Answer:
1) 4
2) -11
3) 1
4) -2
Step-by-step explanation:
A table is on sale for 25% off. The original price of the table is $132.00.
What is the discounted price of the table?
$128.00
$33.00
$107.00
$99.00
Answer:
99%
Step-by-step explanation:
25% of 132 is 33 so 132-33 is $99
Answer: 99
Step-by-step explanation:
turn 25% into a decimal which is .25 and multiply it by 132 to get 33. Thats how much 25% of 132 is so you subtract it to get how much it costs with the sale price.
mai mixed a batch of pink paint using 5 cups of red paint and 3 cups of white paint.
priya mixed another batch of pink paint using 7 cups of red paint and 4 cups of white paint
are the 2 batches the same shade of pink??
Answer:
no they are not
Step-by-step explanation:
priyas paint would be darker then mais paint because priya added an extra cup of red paint.
Simplify the following expression.
5.3x − 8.14 + 3.6x + 9.8
A.
-2.84x − 1.66
B.
8.9x + 17.94
C.
-2.84x + 17.94
D.
8.9x + 1.66
Answer:
D
Step-by-step explanation:
5.3x − 8.14 + 3.6x + 9.8
group the numbers on one side and the x's on the other
5.3x + 3.6x - 8.14 + 9.8
solve
8.9x + 1.66
A sequence of transformations is applied to triangle CDE to create triangle C'D'E'.
Select all the sequences of transformations that could be applied to triangle CDE so that triangle CDE is congruent to triangle C'D'E'.
(Choose 3 Choices)
Question 1 options:
a clockwise rotation of 90 degrees and then a dilation be a scale factor of 2
a dilation by a scale factor of 2 and then a reflection across the y-axis
a clockwise rotation of 90 degrees and then a reflection across the y-axis
a translation 5 units down and then a dilation by a scale factor of 2
a translation 5 units down and then clockwise rotation of 90 degrees
a reflection across y-axis and then translation 5 units down
Answer: a c e are the correct ones i think
Find the equation for a line in slope-intercept form that goes through the points (-3, -2) and (3, 16)
Answer:
y = 3x+7
Step-by-step explanation:
The standard form of equation in slope-intercept form is:
y = mx+c
m is the slope
c is the intercept
Given the coordinates (-3, -2) and (3, 16)
Get the slope;
Slope = ∆y/∆x
Slope = y2-y1/x2-x1
Slope = 16-(-2)/3-(-3)
Slope = 16+2/3+3
Slope = 18/6
Slope = 3
Get the Intercept
Substitute one of the points in the formula:
Using the coordinate (-3, -2)
y = mx+c
-2 = 3(-3)+c
-2 = -9 + C
c = -2+9
c = 7
Get the equation of the line by substituting m and c into the equation y = mx+c
y = 3x+7
Math question please help
If the three segments below were used to form a triangle,
what could the values for the length of the third side be?
Check all that apply.
Answer: 1, 2, 7, 9
Step-by-step explanation:
the sum of two sides must be greater than the third, "Triangle Inequality theorem"
Six and forty-two ten-thousandths as a decimal
Answer:
6.0042
Step-by-step explanation:
6 and forty-two ten-thousandths as a decimal.
mixed number : [tex]6\frac{42}{10,000}[/tex]
decimal : 6.0042
The coordinates below lie on the line with the given slope. find the missing coordinate value. (2,2) (5,y) slope = 2
Step-by-step explanation:
Hey there!
The given points are; (2,2) and (5,y).
Slope (m) =2
Using formula for slope, we get;
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
Put all values.
[tex]2 = \frac{y - 2}{5 - 2} [/tex]
Simplify it to get value of"y".
[tex]2 = \frac{y - 2}{3} [/tex]
[tex]6 = y - 2[/tex]
[tex]y = 6 + 2[/tex]
Therefore, y= 8.
Hope it helps...
3. An almirah is sold at 5,225 after allowing a discount of 5%. Find its marked price.
Answer:
4,963.85
Step-by-step explanation:
twice a number k plus the quantity s minus 2
2k + s - 2
I don't understand the question
Answer:
2k+s-2
Step-by-step explanation:
twice means 2 and k is just a number but as a letter. plus the quantity s is just s as a number, then minus 2 is
=2k+s-2
Give 3 names for x intercepts of a quadrants equation
Answer:
Zeros
Roots
Solution (Set)
Step-by-step explanation:
As you can tell there are a handful of different names!
Candice skipped 12 m in 3 seconds. What was her speed in m/s?
Answer:
4 m/s
Step-by-step explanation:
Take the number of meters and divide by the number of seconds
12 m/3s
4 m/s
5x + y =7
20x + 2 = y
Answer:
y = 6
x = 0.2
Step-by-step explanation:
5x + y =7
20x + 2 = y
5x(4) + y(4) = 7(4)
20x + 4y = 28
(20x = 28 - 4y) = (20x = y - 2)
28 - 4y = y - 2
30 - 4y = y
30 = 5y
y = 6
5x + y =7
20x + 2 = y
y = 7 - 5x
7 - 5x = 20x + 2
5 - 5x = 20x
5 = 25x
x = 0.2
A helicopter’s speed increases from 30 m/s to 40 m/s in 5 seconds.
What is the acceleration of this helicopter?
______m/s2
Answer:
2m/s^2
Step-by-step explanation:
the difference between 30 and 40 is 10. divide 10 by 5 and you get 2
Answer:
The answer is 2m/s2
Step-by-step explanation:
i got it right
Determine the equation of a circle with center (5,-3) and radius of 9
Step-by-step explanation:
solve by using the formula
The required equation of a circle with a center (5, -3) and radius of 9 is x² + y² -10x + 6y - 48 = 0.
What is a circle?The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r²
where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.
As in the mentioned question,
center (5,-3) and radius is 9,
(x - h)² + (y - k)² = r²
(x - 5)² + (y +3)² = 9²
x² + y² -10x + 6y - 48 = 0
Thus, the required equation of a circle with a center (5, -3) and radius of 9 is x² + y² -10x + 6y - 48 = 0.
Learn more about circle here:
brainly.com/question/11833983
#SPJ2
A popular restaurant advertises that it delivers its orders within 30 minutes. Suppose the average delivery time for one store is 27 minutes with a standard deviation of three minutes. One particular order delivery has a z-score of –2.15. Which of the following statements is not a correct interpretation?
A.The delivery time was 2.15 standard deviations below the average delivery time.
B.The delivery time was less than the average delivery time by 2.15 standard deviations.
C.The delivery time was faster than the average delivery time by 2.15 standard deviations.
D.The delivery time was slower than the average delivery time by 2.15 standard deviations.
Answer: B. The delivery time was less than the average delivery time by 2.15 standard deviations.
Step-by-step explanation:
Given: A popular restaurant advertises that it delivers its orders within 30 minutes.
Suppose the average delivery time for one store is 27 minutes with a standard deviation of 3 minutes.
z-score value represents the number of standard deviations is the data value is far from mean.
Here, z-score = -2.15 which clearly indicates that the delivery time was 2.15 standard deviations below( '-' sign suggest value is below mean) the average delivery time.
Hence, the correct option is B.
Answer:
B
Step-by-step explanation:
find the possible factor for the estimated product 5,600
Your grandfather gave you $18 to buy a present. This covered 9/10 of the cost. How much did the present cost?
giving brainliest !!!!!!
Answer:
[tex]m\angle{QPR}}=40[/tex]
Step-by-step explanation:
We are given that lines [tex]PQ[/tex] and [tex]PS[/tex] are perpendicular lines, meaning they intersect and each other, and as a result, create a right angle ([tex]90[/tex]).
With that being said, let's add the expressions representative of the two angles and set them equal to [tex]90[/tex] degrees:
[tex]7x-9+4x+22=90[/tex]
Combine like terms:
[tex]11x+13=90[/tex]
Subtract 13 from both sides of the equation:
[tex]11x=77[/tex]
Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]11[/tex]:
[tex]x=7[/tex]
Now, let's substitute this into the expression of angle [tex]QPR[/tex]:
[tex]7(7)-9[/tex]
[tex]=40[/tex]
_
You can check your work by substituting the value of [tex]x[/tex] into the other expression, and then adding that answer with our initial answer to make sure it equals [tex]90[/tex] degrees:
[tex]4(7)+22[/tex]
[tex]28+22=50[/tex]
[tex]40+50=90[/tex]
Since the two angles add up to 90, our answer is correct!
I have 7 cookies. If I eat 1/4 of them of the cookies. How many cookies do I have left?
Answer:
6 thirds
Step-by-step explanation:
you're welcome
The weights of children in the Egyptian village of Nahya were recorded. Here are the mean weights of the 170 children in that village: Age(months) 1 2 3 4 5 6 7 8 9 10 11 12 Weight (kg) 4.3 5.1 5.7 6.3 6.8 7.1 7.2 7.2 7.2 7.2 7.5 7.8 a. Make a scatter plot of mean weight against age. b. Is there a positive or negative association between the two variables
Answer:
Kindly check explanation and attached picture
Step-by-step explanation:
Given the data:
Age(months) : 1 2 3 4 5 6 7 8 9 10 11 12
Weight (kg) : 4.3 5.1 5.7 6.3 6.8 7.1 7.2 7.2 7.2 7.2 7.5 7.8
a. Make a scatter plot of mean weight against age.
Scatter plot of mean weight against age can be found in the attached picture
b. Is there a positive or negative association between the two variables
There is a positive association between the weight and age variable ; as weight increases as age increases. Also the slope of the best fit line is positive