When it says the "x - 1 " is the factor of that function means when you find the root of the phrase x - 1 which is x = 1 , put it in the function then you have to get zero for the answer :
thus :
[tex]f(1) = 0[/tex]
Thus :
[tex]2 \times {1}^{3} + k(1) - 9 = 0[/tex]
So :
[tex]2 + k - 9 = 0[/tex]
[tex]k - 7 = 0[/tex]
Add both sides 7
[tex]k - 7 + 7 = 0 + 7[/tex]
[tex]k = 7[/tex]
There you go...
Have a great day ❤
Pls helpp
1: Find the slope:
m = (3 - 1) / (0 - (-4)) = 2 / 4 = 2
11 times 11 in binary . Help i need it today!
Answer:
1011×1011 = 11110011
Step-by-step explanation:
11 in binary is 1011
121 in binary is 1111001
When x=3, the value of x^2-2 is?
Answer:
7
Step-by-step explanation:
First you would square 3 which is nine. Then subrtact 2. The final answer is 7 .
in spring 2017, data was collected from a random selection of sta 2023 students. one of the questions asked how many hours they had worked in the past 24 hours. for the 39 randomly selected upperclassmen, the sample mean was 0.61 and sample standard deviation was 2.32. for the 35 randomly selected underclassmen, the sample mean was 1.40 and the sample standard deviation was 2.65. what is the point estimate of the difference in the population mean volunteered between underclassmen and upperclassmen?
Step-by-step explanation:
Use the following information to answer the next 14 exercises: The mean age for all Foothill College students for a recent Fall term was 33.2. The population standard deviation has been pretty consistent at 15. Suppose that twenty-five Winter students were randomly selected. The mean age for the sample was 30.4. We are interested in the true mean age for Winter Foothill College students. Let X = the age of a Winter Foothill College student. n=
How do you find function f for piecewise function.
Answer:
The f(x) is equal to whatever is on the right side of the piecewise functions, as long as the conditions for x are met.
Step-by-step explanation:
An example has been attached
-- Gage Millar, Algebra 1/2 tutor
in spring 2017, data was collected from a random selection of sta 2023 students. one of the question how many concerts they had attended in the past six months. for the 39 randomly selected upperclassmen, the sample mean was 2.31 and sample standard deviation was 2.32. for the 35 randomly selected underclassmen, the sample mean was 2.29 and the sample standard deviation was 2.64. what is the point estimate of the difference in the population mean difference in number of concerts attended between underclassmen and upperclassmen?
Answer:
Step-by-step explanation:
5
According to the point estimate, the population mean difference in the number of concerts attended by freshmen vs seniors is 0.02.
What is the difference in population mean's point estimate?The difference in sample means is a point estimate for the difference in population means.
What's the best way to respond to this query?Data were collected from a random sample of STA 2023 students in the spring of 2017 in order to answer the question. One of the questions they were asked was how many concerts they had gone to in the previous six months. The sample mean was 2.31, with a sample standard deviation of 2.32 for the 39 upperclassmen who were chosen at random. The sample mean was 2.29, and the sample standard deviation was 2.64 for the 35 randomly selected underclassmen.
The point estimate of the population mean difference in the number of concerts attended by underclassmen versus upperclassmen has been requested.
The difference between the sample means is a point estimate for the difference between the two population means, as we already know.
Upperclassmen sample mean - underclassmen sample mean = point estimate,
Alternatively, 2.31 - 2.29 = 0.02 is a point estimate.
The population mean difference in the number of concerts attended by underclassmen against upperclassmen is 0.02 according to the point estimate.
Find out more about point estimates at
brainly.com/question/14000344
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If Rebecca Picked 20 apples and gave away 10 and got 30 more back. How many does she have now?
40
If she picked 20 apples and gave away 10, she would have 10 apples. But if she got 30 more apples, she would have 40 apples
Hope this helps!!! If so please give brainliest
Maki~
Answer:
40 apples
Step-by-step explanation:
20 apples-10 apples+30 apples=
10 apples+30 apples=40 apples
After adding 17 to a number, x, you get 23.
The equation that represents the above statement is .
The value of x in the equation is .
Answer:
The equation that represents the above statement is 17+x = 23
The value of x in the equation is 6
Step-by-step explanation:
17+x = 23
x = 23 - 17
x = 6
Estimate 4732 divided by 13
Answer:
364
Step-by-step explanation:
13÷4732= 364
I hope it help^^
A cinema has 3 screens
Answer:
screen 1 =200
screen 2 =125
screen 3 =175
Step-by-step explanation:
screen 1 40% of 500 =200
screen 2 25% of 500 =125
screen 3 100%-(40%+25%)
100%-65%
35%
35% of 500 =175
screen 1 =200
screen 1 40% of 500 =200
screen 2 =125
screen 2 25% of 500 =125
screen 3 =175
screen 3 100%-(40%+25%)
100%-65%
35%
35% of 500 =175
Hope this helps!!^^
PLS HURRY WILL MARK BRAINLIEST
-x+7=11-2x
Answer:
x = 4
Step-by-step explanation:
First we will subtract 7 from 11 to get
-x = 4 - 2x, next we will add 2x to -x to get
x = 4.
(It's just a matter of combining like terms.)
Hope this helps :)
Find the surface area of the ball shown to the right
d=20
Answer:
Surface Area = 1,256 cmSolution:
formula: Surface Area of a Sphere: 4π · r²
Surface area = 4π · r²
SA = 4(3.14) (10)²
SA = (12.56)(100)
SA = 1,256
24 is 40% of what number? Use percent equation.
Answer:
24 is 40% of 60
Step-by-step explanation:
PLZ HELP ME WITH THIS ASAP
Answer: y= 9
Step-by-step explanation: x, y= 9
4^4+400÷(4+6^2)−2^4
Answers:
250
244
18
10
Answer:
250
Step-by-step explanation:
I don’t know how i’m supposed to do this it’s basically dividing a fraction with a fraction or something
It is 1.3 in decimal form
Answer:
84/63
Step-by-step explanation:
when you are dividing two fractions that is the equal of multiplying the upper one with the opposite of the one below
Find the measure of angle x in the figure
Step-by-step explanation:
apply angle sum property of triangle in ∆BCA
now,
x + x + 110° = 180
2x = 180 - 110 = 70
x = 70/2 = 35
x = 35°
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
List the multiples of 6 between 6 and 54
in order from least to greatest.
Multiples of 6: 6.
?
.24.
?
?
42,
?
54
Answer:
12, 30, 36, 48
Step-by-step explanation:
a sketch of y = x^2 + cx + d is shown the turning point is (2,3) work out the values of c and d
Answer:
c= - 4, d = 7Step-by-step explanation:
Given function:
y = x² + cx + dThe vertex is (2, 3)
We know the vertex form:
y = (x - h)² + k, where (h, k) is vertexSubstitute coordinates to get:
y = (x - 2)² + 3 = x² - 4x + 4 + 3 = x² - 4x + 7Compare with given to find out:
c = - 4, d = 7Which answer describes the transformation of g(x)=log2(x−2)+4 from the parent function f(x)=log2x ?
a.) It is the graph of f(x) shifted 2 units left and 4 units down.
b.) It is the graph of f(x) shifted 4 units right and 2 units up.
c.) It is the graph of f(x) shifted 4 units left and 2 units down.
d.) It is the graph of f(x) shifted 2 units right and 4 units up.
Option D
for the (x-2) we move to the right 2 and for the +4 we go up 4
The transformation of g(x)=log2(x−2)+4 is (d) It is the graph of f(x) shifted 2 units right and 4 units up.
How to determine the transformation?The functions are given as:
Transformed function: g(x)=log(x−2)+4 Parent function f(x)=log(x)Translate the parent function 2 units right
This gives
f'(x) = log(x - 2)
Translate the function 4 units up
This gives
f''(x) = log(x - 2) + 4
So, we have:
g(x) = f"(x)
The above means that the transformation of g(x)=log2(x−2)+4 is (d) It is the graph of f(x) shifted 2 units right and 4 units up.
Read more about function transformation at:
https://brainly.com/question/4025726
Please help me with this math problem
Answer:
Step-by-step explanation:
How to solve your problem
3
+
+
3
3+a+3
3+a+3
Simplify
1
Add the numbers
3
+
+
3
{\color{#c92786}{3}}+a+{\color{#c92786}{3}}
3+a+3
6
+
{\color{#c92786}{6}}+a
6+a
2
Rearrange terms
Solution
+
6
pls give all numbers
how do you tell between a linear and non-linear function?
Answer:
linear functions have no exponents higher than 1, and a graph that looks like a straight line. non-linear functions have at least one exponent higher than 1, and a graph that isn't a straight line.
Step-by-step explanation:
Write the slope-intercept form of the line with the given slope and point. m=4; (2,3)
Answer:
y=4x-5
Step-by-step explanation:
HELP ASAP
Solve for the measure of ∠PMR
Answer:
116*
Step-by-step explanation:
Since <PMR consists of <RPW and <WPM and we know that these are the same, we just have to multiply 58 by 2 and get 116, which will be your answer.
Tell me if I'm wrong :)
the weight of an object on the moon is 0.167 of its weight on earth how much wuold a 180 pound astrounaut weigh on the moon
Answer:
About 30.06 pounds
Step-by-step explanation:
In order to solve this, you would need to multiply the total weight on earth (180 Ibs) by the force of gravity on the moon (0.167).
Find slope of line (I need to see if you get the same answer as me to know if it’s right)
Answer: -5
Step-by-step explanation:
Point #1: (-4, 2)
Point #2: (-3, -3)
Slope: -5
Answer:
Slope=M=-5Full equation y=5/7x-18Step-by-step explanation:
(-3,-3),(4,2) y=mx+b
input variables for the full equation for slope, rise/run
it rise's up 5 and runs back -1 so slope is -5
logb(x-1) + logb(x+2) = logb(8-2x)
Answer:
x=2
Step-by-step explanation:
log_x(y)+log_x(z)=log_x(yz), so logb(x-1) + logb(x+2)=logb((x-1)(x+2)). next subtract logb(8-2x) from both sides to get logb((x-1)(x+2))-logb(8-2x)=0. log_x(y) - log_x(z) = log_x(y/z). so now we have logb((x-1)(x+2)/(8-2x)). now you can put it into exponential form: (x-1)(x+2)/(8-2x)=b^0=1 now just solve for x:
(x-1)(x+2)= 8-2x, x^2 + x -2 = 8-2x, x^2 + 3x -10 = 0, (x+5)(x-2)=0 x=-5, x=2. plug both into the original equation to check which one is correct, since log_x(y) can't have a negative y, x=-5 doesnt work
Lauren is going to invest in an account paying an interest rate of 3.4% compounded
annually. How much would Lauren need to invest, to the nearest cent, for the value of
the account to reach $13,000 in 8 years?
Answer:
P = $9948.99
Step-by-step explanation:
Use the compound amount formula A = P(1 + r)^t, with A = $13,000, t = 8 yr and r = 0.034. Find the principal amount P.
Solving A = P(1 + r)^t for P, we get:
$13,000 $13,000
P = -------------------- = --------------- = $9948.99
(1 + 0.034)^8 1.3067
Lauren needs to invest $9948.99 for this purpose.
Triangle PQR has coordinates P (0, 0), Q (-4, 0), and R (0, 2). If ΔPQR ≅ ΔXYZ, what is the measure of XY?
A) 1 units
B) 2 units
C) 3 units
D) 4 units
Given that ΔPQR and ΔXYZ are congruent triangles, the measure of XY is: D) 4 units
Recall:
Congruent triangles have pairs of congruent angles and congruent sides.Distance between two vertices can be calculated using the distance formula: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]Given ΔPQR ≅ ΔXYZ, therefore, PQ = XY.
Find the distance between P(0, 0) and Q(-4, 0) using[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
[tex]PQ = \sqrt{(-4 - 0)^2 + (0 - 0)^2}\\\\\mathbf{PQ = 4 $ units}[/tex]
Since ΔPQR ≅ ΔXYZ, therefore the measure of XY is: D) 4 unitsLearn roe about congruent triangles on:
https://brainly.com/question/2938476
Answer:
4 units
Step-by-step explanation:
