Answer:
f is equal to 3 which means g is also equal to 3
Step-by-step explanation:
What is the greatest common factor of the terms in the polynomial 4x-32x-60x?
4
4x
4x2
O 4r3
Answer:
its c (4x^2)
Step-by-step explanation:
The greatest common factor of the polynomial expression 4x - 32x - 60x is 4x
How to determine the greatest common factor?The polynomial expression is given as:
4x - 32x - 60x
Factor out x from the terms in the expression
x(4 - 32 - 60)
Factor out 4 from the terms in the expression
4x(1 - 8 - 15)
Hence, the greatest common factor of the terms is 4x
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Solve for X. -3x-8+6x=7
Answer:
x=5
Step-by-step explanation:
1. Combine like terms to simplify the equation.
Combining like terms means to combine anything that has the same variable, degree, or no variable at all.
-3x and +6x are like terms, for example because they both have an x.
Add them together to get 3x.
2. Rewrite the equation as the simplified version of 3x-8=7.
3. Add 8 to both sides to cancel out 8 on the left side.
3x=15.
4. Divide by 3 to isolate x.
x=5
Answer:
x = 5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define equation
-3x - 8 + 6x = 7
Step 2: Solve for x
Combine like terms: 3x - 8 = 7Add 8 on both sides: 3x = 15Divide 3 on both sides: x = 5Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute: -3(5) - 8 + 6(5) = 7Multiply: -15 - 8 + 30 = 7Subtract: -23 + 30 = 7Add: 7 = 7Here we see that 7 does indeed equal 7.
∴ x = 5 is a solution of the equation.
Which ratio is equivalent to 4:5?
10
15
4
10
16.
20
15
풍
Answer:
16;20
Step-by-step explanation;
you can both multiply by 4
4 x 4 = 16 and 5 x 4 = 20.
Translate the figure 3 units left and 4 units down.
Plot all of the points of the translated figure.
You may click a plotted point to delete it.
Answer:
3,-1
Step-by-step explanation:
you go over to the left 3 and than you go down 4.
Round 2.261 to the nearest one
Answer: 2.
Step-by-step explanation;
2.261 rounded to the nearest one is 2. Recall that the nearest ones whole number is the first digit before the decimal point of a number.
Zoey bought a plant and planted it in a pot near a window in her house. Let
H
H represent the height of the plant, in inches,
t
t months since Zoey bought the plant. The table below has select values showing the linear relationship between
t
t and
H
.
H. Determine the initial height of the plant when it was purchased.
Answer: 2.5
Step-by-step explanation:
Given the relationship between month since plant was bought t and plant height H ;
t
0.5
3
5
H:
17.25
23.5
28.5
Using the online regression calculator, the regression model obtained is :
y = 16x + 2.5
Using this model, we can obtain the height when t = 0 ; this will give the height at the time of purchase of the plant. Therefore, at x = 0
y = 16(0) + 2.5
y = 0 + 2.5
y = 2.5
Hence, height of plant = 2.5
Answer:
16 inches
Step-by-step explanation:
3x-2y=4 y=(3)/(2)x-2 determine number of solutions
Answer:
y= 3x/2-2
Step-by-step explanation:
Which quote from Little Women best exemplifies the theme of making sacrifices for genuine love?
Answer:
"’I don't want a fashionable wedding, but only those about me whom I love, and to them I wish to look and be my familiar self.’"
Step-by-step explanation:
Answer:
the one above my answer is correct
Step-by-step explanation:
I need help please with step by step it would help me a lot
Answer:
Domain: (-infinity, +infinity) since you can pick any x values.
Range: [0, +infinity) since it does not go below the x axis.
Step-by-step explanation:
The graph is a parabola given by [tex]y=x^2[/tex]
lets pick a few x values:
x = 1 gives us y = 1^2, which = 1
x = -1 gives us y = (-1)^2, which = 1
The parabola's domain is any x value as it extends to infinity.
For its range, you can see that it does not go below the x axis at x = 0. Therefore, the range of the parabola is from [0, infinity]
any thoughts?! I couldn't fix it
Answer:
4.25
Step-by-step explanation:
Solve each inequality.
M/13 > -6
Answer:
m>−78
Step-by-step explanation:
that's your answer:)
I need help I don’t know how to do these problems
Answer:
It is in fact 113 I'm just here to explain
Step-by-step explanation:
Basically M6 and M7 must make a staright line(180) and since we already know that M6 is 67 we just have to subtract 67 from 180 to get the answer we are looking for. ( it would be the same process if we were looking for M1 (113) and also if you had the measure of M1 you would have had your answer to M7 because they are vertical angles therefore making them congruent
Use the figure below for items 6-7.
Х,
8
w
Z
6. If WY + XZ = 28, what is PZ? 'hint: find WY first
7. If XP = 7x - 2 and PZ = 4x + 10, what is XZ?
7. Use the facts and graph below to write the equation for g(x)
Step 1: Start with the equation f(x) = |x|. Write the equation for the graph of g(x) that has been stretched vertically by a factor of 2.
Step 2: Use the equation you wrote in Step 1. Write the equation for the graph of g(x) that has also been reflected, or flipped, over the x-axis.
Step 3: Use the equation you wrote in Step 2. Write the equation for the graph of g(x) that has also been shifted down 3 units.
Step 4: Use the equation you wrote in Step 3. Write the equation for the graph of g(x) that has also been shifted right 1 unit.
9514 1404 393
Answer:
g(x) = 2|x|g(x) = -2|x|g(x) = -2|x| -3g(x) = -2|x -1| -3Step-by-step explanation:
1. Multiplying the function by a constant stretches the graph by that constant. Here, you want a stretch factor of 2, so you have ...
g(x) = 2f(x) = 2|x|
__
2. Negating a function causes its graph to be reflected over the x-axis. That makes your second function look like ...
g(x) = -2|x|
__
3. Subtracting 3 from the function value shifts its location on a graph down by 3 units. Your third function will be ...
g(x) = -2|x| -3
__
4. Subtracting a constant from the x-value causes the graph of the function to be shifted right by that amount. Here you want a right shift of 1 unit, so your function is ...
g(x) = -2|x -1| -3
Answer:
the other users is correct, sorry I was going to answer until i saw it was already but it wouldn't let me of the screen
Step-by-step explanation:
What is this expression?
Answer:
2) 4/3
Step-by-step explanation:
(4^-3 * 3^4 * 4^2)/(3^5 * 4^-2)
4^-3 * 3^4 * 4^2 = 4^-1 * 3^4
(4^-1 * 3^4)/(4^-2 * 3^5)
(3^4)/(3^5) = 1/(3^5-4)
(4^(-1))/(4^-2 * 3^(5-4)
(4^-1)/(4^-2 * 3)
4^(-1 - (-2)) / (3)
-1 - (-2) = 1
4/3
A Geiger counter registers a count rate of 7,600 counts per minute from a sample of a radioisotope. Eighteen minutes later, the count rate is 1,900 counts per minute. What is the half-life of the radioisotope?
Answer:
9 minutes is the half life of the radioisotope.
Step-by-step explanation:
Given;
initial count rate = 7,600 counts per minute
final count rate = 1,900 counts per minute
elapsed time, t = 18 minutes
The half life of the radioisotope is calculated as;
Time (half life) --------------------------remaining count rate
0 ------------------------------7,600 counts per minute
x ------------------------------3,800 counts per minute
2x----------------------------- 1,900 counts per minute
thus, 2x = 18 minutes
x = 18 / 2
x = 9 minutes
Therefore, 9 minutes is the half life of the radioisotope.
immediately Thanks but it is urgent
Answer:
the answer is lletter D MARK ME IF CORRECT
Step-by-step explanation;
Need help on 3 please help thank you so much I appreciate
Answer: Interesting question bro
Step-by-step explanation:
Plz help ASAP fheodjdidididkdu
Answer:
B
Step-by-step explanation:
vary hard 11th grade test paper
Solve for x : 10x-8= 4-6x
anyone help?
Answer: x = 3
Step-by-step explanation:
Simplifying
10x + -4 = 6x + 8
Reorder the terms:
-4 + 10x = 6x + 8
Reorder the terms:
-4 + 10x = 8 + 6x
Solving
-4 + 10x = 8 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
-4 + 10x + -6x = 8 + 6x + -6x
Combine like terms: 10x + -6x = 4x
-4 + 4x = 8 + 6x + -6x
Combine like terms: 6x + -6x = 0
-4 + 4x = 8 + 0
-4 + 4x = 8
Add '4' to each side of the equation.
-4 + 4 + 4x = 8 + 4
Combine like terms: -4 + 4 = 0
0 + 4x = 8 + 4
4x = 8 + 4
Combine like terms: 8 + 4 = 12
4x = 12
Divide each side by '4'.
x = 3
Simplifying
x = 3
Add
to both sides of the equation
Simplify
Add
to both sides of the equation
Simplify
6
Divide both sides of the equation by the same term
A project has the following projected outcomes in dollars: $230, $340, and $590. The probabilities of their outcomes are 25%, 55%, and 20% respectively. What is the expected value of these outcomes? $362.50 $347.50 $407.50 $377.50
Answer:
$362.5
Step-by-step explanation:
Given that :
x : _____ 230 ______340 ______ 590
P(x): ____0.25______0.55 _____ 0.20
To obtain the expected value E(x) of the outcome ; we can use the formula :
E(x) = Σ(x * P(x))
E(x) = (230 * 0.25) + (340 * 0.55) + (590 * 0.20)
E(x) = 57.50 + 187 + 118
E(x) = 362.50
Assume that a random sample of 4 Goldfinch birds are going to be used to test the above hypothesis. Compute the largest value of the sample mean, that will allow the experimenter reject the null and prove the alternative at significance level 0.01. For this problem, make sure that your solution includes all steps of your computation. You will not earn points if you just use a formula
This question is incomplete, the complete question is;
Assume that body masses of Goldfinch birds follow a normal distribution, with a standard deviation equal to 0.04 oz. An ornithologist who would like to make some inference about the average body mass of the Goldfinch birds. In particular, at a significance level of 0.01, she would like to test the null hypothesis H₀: Average body mass of the Goldfinch birds is 0.5 oz, against the alternative claim that average body size is less than 0.5 oz.
Assume that a random sample of 4 Goldfinch birds are going to be used to test the above hypothesis. Compute the largest value of the sample mean, that will allow the experimenter reject the null and prove the alternative at significance level 0.01. For this problem, make sure that your solution includes all steps of your computation. You will not earn points if you just use a formula
Answer: the largest value of the sample mean that will enable the experimenter to reject the null hypothesis is 0.4534 oz.
Step-by-step explanation:
Let us consider testing a hypothesis about a population mean with population standard deviation that is known,
Let the average body mass of the Goldfinch bird be μ^μ
Now our hypotheses are will be;
H₀ : μ = 0.5 and
H₁ : μ < 0.5
For the test, we shall use the z statistic which will be
z = (x"-μ)/(σ/√n)
Now given that;
σ = 0.04 and n = 4
sample mean x" = ?
Now in order to be able to reject the null hypothesis, the p-value should be ≤ α = 0.01.
so to find the largest value of sample mean, we will use the maximum of p-value that is 0.01.
For a p-value = 0.01 at the lower tail (which is the percentile for z),
the corresponding z will be -2.33
so we substitute our values into our formula
z = (x"-μ)/(σ/√n)
z(σ/√n) = (x"-μ)
-2.33(0.04/√n) = (x"-0.5)
-0.0466 = x" - 0.5
x" = 0.5 - 0.0466
x"= 0.4534
therefore the largest value of the sample mean that will enable the experimenter to reject the null hypothesis is 0.4534 oz.
the length of a rectangular sing is 4 time its width. if the sign perimeter is 20 inches. what is the sign area ?
Answer:
Area = 16 in²
Step-by-step explanation:
Represent the length with L and the width with W
We have the following given parameters:
L = 4W
Perimeter = 20
Required
Determine the area.
The perimeter is calculated as thus:
Perimeter = 2(L + W)
Substitute 4W for L and 20 for Perimeter.
20 = 2(4W + W)
20 = 2 * 5W
20 = 10W
Solve for W
W = 20/10
W = 2
Recall that:
L = 4W
L = 4 * 2
L = 8
The area is then calculated as thus:
Area = L * W
Area = 8 * 2
Area = 16
Hence, the area is 16in²
Suppose a blue car is 1/2 mile south of an intersection, driving north towards the intersection at 40 mph (miles per hour). At the same time, a red car is 1/2 mile east of the intersection, driving east (away from the intersection) at an unknown speed. The the straight-line distance between the blue and red car is increasing at a rate of 15 mph. What is the speed of the red car?
Answer:
dx/dt = - 18,79 mph
Step-by-step explanation:
The two cars with the intersection point and the straight-line distance between the cars make up a right triangle. In that right triangle, the legs are the distance between each car and the intersection point, and the distance between cars is the hypothenuse
If we call x and y distances between blue car and red car respectively and L the hypothenuse by Pythagoras theorem we have:
L² = x² + y² (1)
Tacking derivatives on both sides of the equation
2*L*dL/dt = 2*x*dx/dt + 2*y*dy/dt
And from equation (1)
L² = (0,5)² + (0,5)² ⇒ L = √(0,5)² + (0,5)² ⇒ L = 0,5*√2
By subtitution in equation (2)
2*(0,5*√2)*15 = 2*0,5*dx/dt + 2*0,5*40
(15*√2 - 40 ) / 1 = dx/dt [mph]
dx/dt = - 18,79 mph
Note the( - ) sign is equivalent to say that the car is driving away from the intersection point
The probability that a six sided number cube lands on a 5 is 1/6. Predict the number of times the cube will land on a 5 if the cube is tossed 72 times.
Answer:
[tex]1 \div 6 \times 72 = 12[/tex]
The population of a country grows exponentially at a rate of 1% per year. If the population was 35.7 million in the year 2010, then what is the population size of this country in the year 2015
Answer:
37.52 million
Step-by-step explanation:
using,
A = A'(1+R/100)ⁿ............................. equation 1
Where A = population size in 2015, A' = Initial population, R = rate in percentage, n = number of times between 2010 and 2015.
Given: A' =35.7 million, R = 1%, n = 5.
Substitute these values into equation 1
A = 35.7(1+0.01)⁵
A = 37.52 million.
Hence the size of the population of the country in the year 2015 is 37.52 million
X is all of the following except ____.
A. a term
B. a variable
C. a constant
D. an expression
Answer:
an expression
Step-by-step explanation:
Sorry if i'm wrong if i'm wrong then a term maybe
Twice the sum of a number and five is equal to 40 (translate to an algebraic equation)
The algebraic equation representing the given statement is
2(x + 5) = 40.
We have,
Let's translate the given statement into an algebraic equation.
The sum of a number (let's call it x) and five can be expressed as (x + 5).
Twice the sum of a number and five is equal to 40, so we can write it as:
2(x + 5) = 40
Therefore,
The algebraic equation representing the given statement is
2(x + 5) = 40.
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f(x) is a function.
A. True
B. False
Answer:
False, since x values cannot have more than one y value.
Step-by-step explanation:
False, since x values cannot have more than one y value.