Using ƒ(x) = 3x − 3 and g(x) = -x, find g(ƒ(x)).
Answer:
We conclude that:
g(f(x)) = -3x+3
Step-by-step explanation:
Given
f(x) = 3x-3g(x) = -xTo determine
g(f(x)) = ?In order to determine g(f(x)), first we need to substiute f(x) = 3x-3 in g(f(x)).
g(f(x)) = g(3x-3)
now substitute x = 3x-3 in g(x)
= -(3x-3)
= -3x+3
Therefore, we conclude that:
g(f(x)) = -3x+3
Please help this is so hard!!
Answer:
x is corresponding with the angle that equals 130 so it equals 130 too
Step-by-step explanation:
Item 9 Forty-five basketball players participate in a tournament. Write and solve an equation to find the number x of 3-person teams that they can form. An equation that represents this problem is =45. They can form 3-person teams.
Answer: See explanation
Step-by-step explanation:
Since forty-five basketball players participated in the tournament and a 3-person team wants to be formed, the equation to find the number x of 3-person teams that they can form will be:
3x = 45
x = 45/3
x = 15
Therefore, 15 3-person team can be formed.
While attempting to multiply the expression (2-5i)(5+2i) a student made a mistake.
(2-5i)(5+2i)= 10+4i -25i - 10i^2
=10+4(-1)-25(-1) - 10(1)
=10-4+25-10
=21
What is the error?
Answer:
The left side of the equation is ignored
i is treated as -1, which it is not, it is instead the square root of negative 1.
To solve it properly we get:
(2 - 5i)(5 + 2i)
= 10 + 4i - 25i - 10i²
= 10 + 21i + 10
= 20 - 21i
Answer:
The error is that, the student replaced i with -1 which is wrong as i = √-1
And he has replaced i^2 with 1 while i^2 = -1
Step-by-step explanation:
Given two numbers that are being multiplied are:
(2-5i)(5+2i)
We will solve the question to get the right result so that the error can be detected.
So, multiplying both
[tex]= 2(5+2i)-5i(5+2i)\\=10+4i-25i-10i^2\\=10-21i-10(-1)\ \ \ as\ i^2 = -1\\=10-21i+10[/tex]
The error is that, the student replaced i with -1 which is wrong as i = √-1
And he has replaced i^2 with 1 while i^2 = -1
I need some help 6(4x-3)-9x
Answer:
3(5x-6)
Step-by-step explanation:
I hope this helps you out, let me know if you need to know how it's solved.
Answer:
15x-18
Step-by-step explanation:
[tex]6(4x-3)-9x\\24x-18-9x\\15x-18[/tex]
Simplify the expression. (Picture attached)
Find the surface area of a rectangular
prism with 1 =6, w=4, h=2.
Answer:
88 feet
Step-by-step explanation:
2x (6x4+6x2+4x2)=88
1/3 ( 12 + 3 × 6 ) - 5
Answer:
5
Step-by-step explanation:
Pemdas you do the 3x6 first then add the twelve. you would be at 30 1/3 of that is 10 then you subtract the 5
What is the volume of this rectangular prism? 16 cubic centimeters 96 cubic centimeters 160 cubic centimeters 192 cubic centimeters a rectangular prism that is 2 centimeters by 8 centimeters by 6 centimeters I NEED HELP NOW
Answer: 96 cubic centimeters
Step-by-step explanation:
For a cubic prism with length L, width W and height H, the volume is:
V = L*W*H
For this case, we know that the measures of the prism are:
2cm, 8cm, and 6cm, then we can take:
Length = 2cm
Width = 8cm
Height = 6cm
Then the volume of this prism will be:
V = 2cm*8cm*6cm = 96 cm^3
Then the correct option is 96 cubic centimeters
Rico and nita solved the answer the same problem.Rico got 6/8 for an answer, and nita got 3/4.Which answer is corrext. Use the term equivalent fraction in your explanation
Answer:
Both are correct
Step-by-step explanation:
Rico got 6/8
Nita got 3/4
Equivalent fraction
2/2 x Nita point
2/2 x 3/4
6 / 8
So,
Nita point = Rico point
6/8 = 6/8
Answer:
Both are corre
Step-by-step explanation:
Please help.
Algebra.
Answer:
The answer is b and helping for higer points
Step-by-step explanation:
Answer: D
Step-by-step explanation:
y intercept is at 2 and the slope is 1/5
4(-x+4)= 12
how do i solve this
Answer:
Step-by-step explanation:
we will multiply first
-4x+16=12
-4x=12-16
-4x=-4
x=1
Step-by-step explanation:
Here is your answer
Hope it helps you
In a company 60% of the workers are women if 1920 people work for the company who aren’t women, how many workers are there in all?
Answer:
Step-by-step explanation:
if 60% of the workers are women, and we have 1920 total of people
1920x 60/100=1152 women
768 are men
keith has $15 more than jay. if keith has $87, how much money does jay have?
Answer:
Jay has $72
Step-by-step explanation:
$87-$15=$72
Answer: Jay has $72.
Step-by-step explanation: It's basically a subtraction problem. You are subtracting 87-15 and getting 72.
Are the polygons similar? If they are, write a similarity statement and give the scale factor .
Please somebody help me
Answer:
For the polygons to be similar, both these ratios must be equal which is the required scale factor. So, the given polygons are not similar.
Step-by-step explanation:
Answer:
a. not similar
b. similar, ABCDE ~ SRVUT, scale factor: 2
Step-by-step explanation:
HELP PLz it is hard answer both of them
Answer:
6. 162
7. c
Step-by-step explanation:
Answer:
6. 162
7. C
Step-by-step explanation:
6. Replace the values of a and b into the expression:
8a + 6b = 8(12) + 6(11)
= 96 + 66
= 162
7. The distributive property states that whatever is outside a bracket must be multiplied to ALL terms in the brackets:
5(2f+4) = (5 × 2f) + (5 × 4)
= 10f + 20
Evaluate mp - (m + 2) using m =-6 and p = 3.
Answer:
Step-by-step explanation:
Here you go mate
Step 1
mp-(m+2)
Step 2
(-6)(3)-((-6)+2) Substitute m for -6 and p for 3
Step 3
(-6)(3)-((-6)+2) Simplify
answer
-14
Hope this helps
Identify the angle pair given the transversal
Evaluate the expression for the given value of x.
3x + 4 for x= 5
8 of 10
Richard can type 100 words a minute.
How many words can be typed in 3.5 minutes?
Answer:
350
Step-by-step explanation:
45°
X
Find the value of x. Write your answer in simplest form. Please help meee so confused
Answer:
7√2
Step-by-step explanation:
i don't feel like explaining
please help again lol
Answer:
55%
Step-by-step explanation:
One whole box is shaded plus that one line, if you separate both into 2 100%, the one line will equal to 10% but then divide the 10% in half and the 100% which will equal to 55%
yler bought snacks for his team's practice. He bought a bag of oranges for $1.94 and a 24-pack of juice bottles. The total cost before tax was $43.22. Write and solve an equation which can be used to determine x, how much each bottle of juice costs?
Answer:
1.94 + 24x = 43.22 ;
1.72
Step-by-step explanation:
Given :
Cost of orange = 1.94
Pack of juice = 24
Total amount spent = 43.22
Cost of orange + (number of juice * cost per bottle) = total amount spent
Let cost per bottle = x
1.94 + (24 * x) = 43.22
1.94 + 24x = 43.22
24x = 43.22 - 1.94
24x = 41.28
x = 41. 28 / 24
x = 1.72
HELP ASAP
write an expression to represent:
"the sum of a number b and 24"
Answer:
b+24
Step-by-step explanation:
Addition is one of the four fundamental mathematical operations. The given phrase can be written in the form of an expression as b+24.
What is Addition?Addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.
An expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context. Therefore, The given phrase can be written in the form of an expression as,
Sum of a number b and 24 → b+24
Hence, The given phrase can be written in the form of an expression as b+24.
Learn more about Addition here:
https://brainly.com/question/14092461
#SPJ2
What is the distance from C to D?
A. 5 units
B. 1 unit
C. 25 units
D. 7 units
Answer:
Option A
Step-by-step explanation:
According to the distance formula , for any 2 points P & Q whose coordinates are (x¹ , y¹) and (x² , y²) respectively. So ,
[tex]PQ = \sqrt{(x^{2} - x^{1} )^{2} + (y^{2} - y^{1})^{2} }[/tex]
NOTE = HERE x² , y² DOESN'T MEAN THE SQUARES OF x & y . THEY ARE JUST COORDINATES.
According to the question ,
Coordinate of C = (2 , -1)
Coordinate of D = (5 , 3)
Using distance formula ,
[tex]CD = \sqrt{(5-2)^{2} + (3 -(-1))^{2} }[/tex]
[tex]=> CD = \sqrt{3^{2} + 4^{2} } = \sqrt{9 + 16} = \sqrt{25} = 5[/tex]
A die is rolled 25 times and 12 evens are observed. Calculate and interpret a 95% confidence interval to estimate the true proportion of evens rolled on a die.
Answer:
The 95% confidence interval to estimate the true proportion of evens rolled on a die is (0.2842, 0.6758). This means that we are 95% sure that for the entire population of dies, the true proportion of evens rolled on a die is between 0.2842 and 0.6758
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
[tex]n = 25, \pi = \frac{12}{25} = 0.48[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 - 1.96\sqrt{\frac{0.48*0.52}{25}} = 0.2842[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 + 1.96\sqrt{\frac{0.48*0.52}{25}} = 0.6758[/tex]
The 95% confidence interval to estimate the true proportion of evens rolled on a die is (0.2842, 0.6758). This means that we are 95% sure that for the entire population of dies, the true proportion of evens rolled on a die is between 0.2842 and 0.6758
The volume of a cylinder is 176 cm and its height is 11 cm,
What is the length of the cylinder's radius?
Answer:
4cm
Step-by-step explanation:
The volume of the cylinder is the product of the area of the base and the height. In mathematical equation, this can be written as,
V = πr²h
where V is volume, r is the radius, and h is the height.
Substituting the known values from the given,
176π cm³ = πr²(11 cm)
50 points! No wrong answers please! Will mark brainliest :)
Answer:
I'm pretty sure it's the 1 or tha last one
Answer:
[tex]y=\frac{1}{4}x-1[/tex]
Step-by-step explanation:
Parallel lines always have equal slopes. Therefore, this eliminates two options and we just need to find the y-intercept. Since the line passes through [tex](-4,-2)[/tex], we have:
[tex]-2=\frac{1}{4}(-4)+b,\\b=-1[/tex].
Therefore, the equation of the line is:
[tex]y=\frac{1}{4}x-1[/tex]
Emma needs 2 pounds of ground meat to make a meatloaf. She goes to Brodies and finds one package of meatloaf with 2.56 pounds and another package with 2.09 pounds. She uses rounding to the nearest whole. Which package should she choose to get closer to 2 pounds? Explain.
Answer:
package with 2.09 pounds
Step-by-step explanation:
When rounding to the nearest whole number, if the first number after the decimal point is equal or greater than 5, add 1 to the number before the decimal. If this is not the case, add 0 to the number before the decimal point.
to round 2.56 to the nearest whole number equals 3.
While to round 2.09 to the nearest whole number equals 2.
Because Emma needs 2 pounds, she would go with 2.09 pounds
Step by step explanation
Answer: x = 4
Step-by-step explanation:
x/2=10/5
Multiply both sides of the equation by 2.
2⋅ x/2 = 10 /5 ⋅ 2
Simplify both sides of the equation.
Cancel the common factor of 2.
Rewrite the expression.
x= 2 ⋅ 10/5
Divide 10 by 5.
x= 2 ⋅ 10/5
Multiply 2 by 2.
x = 2 ⋅ 2
x = 4
please give brainiest :)