Find the value of h(-67) for the function below.
h(x) = -49x − 125
A.
-3,408
B.
3,158
C.
3,283
D.
-1.18
Answer:
B. 3,158
Step-by-step explanation:
h(x) = -49x − 125
Let x = -67
h(-67) = -49(-67) − 125
=3283-125
= 3158
Answer:
Answer B
Step-by-step explanation:
To find the value of h(-67) for the function h(x) = -49x - 125,
we substitute -67 for x in the function and evaluate it.
h ( - 67 ) = - 49 ( - 67 ) - 125
Now we can simplify the expression:
h ( -67 ) = 3283 - 125
h ( -67 ) = 3158
a spinner with the colors red, yellow, blue, and green is spun. what is the theoretical probability of stopping on the color blue?
The theoretical probability of stopping on the color blue when spinning a spinner with the colors red, yellow, blue, and green is 25% or 1/4.
A spinner is a tool that spins around an arrow or a pointer that points towards the numbers, colors, or pictures around its edge. The probability of a certain event is the likelihood of that event occurring. In this case, we need to find the theoretical probability of stopping on the color blue.
We have four colors on the spinner, so the probability of stopping on blue can be found using the formula of theoretical probability.
The formula for theoretical probability is:
number of favorable outcomes / total number of outcomes.
Since we have four colors on the spinner, the total number of outcomes is 4. The favorable outcomes are the number of times the spinner will land on blue, which is 1.
So the probability of stopping on the color blue can be calculated as follows:
1 (favorable outcome) / 4 (total number of outcomes) = 1/4
So, the theoretical probability of stopping on the color blue is 1/4. This is because there is an equal chance of landing on any of the four colors, and since there are four colors, each has a 25% chance of being selected.
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What is the effect on the graph of the function f(x) = x2 when f(x) is changed to f(x − 6)?
Answer:
Horizontal translation in the \(+x\) direction.
Step-by-step explanation:
A function of the form \(f(x)\) experiments an horizontal translation when the following substitution is applied:
\(x \to x + a\), where \(a \in \mathbb{R}\)
If \(a > 0\), the function is translated in the \(-x\) direction, whereas \(a < 0\) is the case for the function being translated in the \(+x\) direction.
The effect on the graph can be defined by a composition between two function:
\(f(x) = x^{2}\), \(g (x) = x-6\)
\(f\,\circ\,g\,(x) = (x-6)^{2}\)
The resulting expression represents a horizontal translation in the \(+x\) direction.
Finally, we plot \(f(x)\) (red) and \(f\,\circ g\,(x)\) (blue) by a graphing tool and proved the certainty of this theory.
suppose you have two bags of marbles that are in a box. bag 1 contains 7 white marbles, 6 black marbles, and 3 gold marbles. bag 2 contains 4 white marbles, 5 black marbles, and 15 gold marbles. the probability of grabbing the bag 1 from the box is twice the probability of grabbing the bag 2. if you close your eyes, grab a bag from the box, and then grab a marble from that bag, what is the probability that it is gold?
The probability that it is gold is (1/3).
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. The likelihood that an event will occur increases with its probability. If two events are mutually exclusive, then there is a 0 percent chance that they will both happen at the exact moment. Two events are said to be mutually exclusive if they share no elements (their intersection is the empty set). Consequently, P(A∩B)=0.
Let A be the event that a gold marble is picked.
Let B₁ and B₂ be the event that the first bag is chosen and the second bag is chosen respectively.
Given: P (B₁ ) = 2.P(B₂)
Also, P(B₁) + P(B₂) = 1
∴ 2P(B₂) + P(B₂) =1
3P(B₂) = 1
P(B₂) = 1/3 and P(B₁) = 2/3
Now
P(A)
= P(A∩(B₁∪B₂))
= P[(A∩B₁)∪(A∩B₂)]
Probability adds up because the events are mutually exclusive
= P(A∩B₁) + P(A∩B₂)
= P(B₁). P(A/B₁) + P(B₂). P(A/B₂)
= (2/3)×(3/16) + (1/3)×(15/24)
= (1/3)
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Which table represents a linear function?
Answer:
If function is given by its table representation and you have to determine what type of function it is, you can’t be 100% sure that the given function is linear. Why is that so? Because there are many functions which have the same table representation.
Example: You’re given f(0)=0 and f(1)=1. It can be representation of function f(x)=x, f(x)=x^2, f(x)=x^3 etc. If there are more given datas, maybe you can eliminate some types of functions, but you can’t be sure what type of function it is. :)
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Dennis Wainaina, Student
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a linear function is used to relate to relate an independent variable and a dependent variable by introducing a rate of change(function) of which the independent variable is equated to find the dependent variable for example y=3x hence hence is the dependent variable as it depends on the change of x and 3 is the rate of change which is a constant and is determined by the division of the values of y/x hence to make a table of y over x of which y is determined by the rate of change 3*the independent variable x
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Clyde Maiden
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Line AB contains points A(4, 5) and B(9, 7). What is the slope of

?
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Answer:
b
Step-by-step explanation:
Sami made $23,400 last year in income from his job. He worked 30 hours per week and worked all 52 weeks of the year, What was his hourly pay
rate?
Sami made !
per hour and $
per week.
So, lets think about the information we are given.
Sammy earns 23,400 in a given year.
In a year, he works 52 weeks.
Per week, he works 30 hours.
Find hours -> find pay.
To find hours, multiply number of weeks by hours
52 * 30 = 1560
He works 1560 hours per year.
To find hourly income, divide total money per year by hours per year. He makes 15 dollars per hour.
Find $ per week.
Hourly rate by hours per week
15 * 30 =450 per week
Hope this helps :)
Answer:
Sami had an hourly pay rate of $15 an hour
Step-by-step explanation:
Multiply 52 by 30 and you get 1,560, this is the total number of hours sami worked in a year.
If Sami made $23,400 in one year and worked 1,560 hours, you divide the total amount of hours work and total amount of money made to get an hourly pay rate of $15 an hour.
3 + 10x+ 4x as an algebradic expression
Answer: 10x² + 3x + 4
Step-by-step explanation: I hate math.
been stuck on this for a while plzz help
Answer:
Answer is 18!
Step-by-step explanation:
hope this helps
Simplify the following expression.
1.4568 ÷ 0.607
Answer:2.4
Step-by-step explanation:
Answer:
2.4
Pls, choose me as brainliest!
how many license plates consisting of three letters followed by three digits
Answer:
ABOUT 4000
Step-by-step explanation:
4.289 rounded to the nearest tenth
Find the area of a circle with a diameter of 16 units.
Exact Area:
Approx Area (use 3.14 for pi):
Approx Area (use 22/7 for pi):
Answer:
exact: 64π square units3.14 for π: 200.96 square units22/7 for π: 201 1/7 square unitsStep-by-step explanation:
You want the area of a 16-unit circle using different values for pi.
AreaThe formula for the area of a circle is ...
A = πr² . . . . . . where r is half the diameter
For the different values of pi, this will be (in square units) ...
π(8²) = 64π . . . . exact
3.14(8²) = 200.96 . . . . using 3.14 for π, slightly low
22/7(8²) = 201 1/7 . . . . using 22/7 for π, slightly high
<95141404393>
P=7r+3q
r= 5 and q= -4
simplify (2) to the power of -3
We are to simplify
\(2^{-3}\)From the the laws of indices,
\(\begin{gathered} x^{-m}\text{ =}\frac{1}{x^m} \\ \end{gathered}\)Aplying this law to the question, we have
\(\begin{gathered} 2^{-3}=\frac{1}{2^3} \\ =\frac{1}{8} \\ \text{ The answrer is }\frac{1}{8} \end{gathered}\)closest value of 19.7dived 0.0485
Robert earned $10, which was 4 less thank twice what Eric made, How much mint did Eric earn?
Answer:
12
Step-by-step explanation:
Answer:
$16
Step-by-step explanation:
First we would calculate twice of ten which is 20 then we subtract 4 from 20 which would be 16 and that is how you found your answer.
Hope this helps!! :)
What is the surface area of a cylinder? Express the answer in term of x
D=8cm h=18cm
Answer:
the surface area is 552.92
Step-by-step explanation:
Answer:
\(552.92 {cm}^{2} \)
Step-by-step explanation:
\(A
=
2
π
r
h
+
2
π
{r}^{2}
\\
=
2
·
π
·
4
·
18
+
2
·
π
·
{4}^{2}
\\
≈
552.92031
\)
hope this helps
brainliest appreciated
good luck! have a nice day!
help me out please asap! Giving brainliest!!!
Answer: the answer is -32
Step-by-step explanation: multiply -2 by itself 5 separate times.
Answer:
-32
Step-by-step explanation:
-2×-2×-2×-2×-2=4×4×-2
=-32
24. One solution of the equation
2x2 - 7x+k=0 is x =-1. Find the value of k.
2
Answer:
this is the correct solution for your question
Answer:
The value of k is -4.
Step-by-step explanation:
In order to find the value of k, you have to substitite x = -1/2 into the equation :
\(2 {x}^{2} - 7x + k = 0\)
\(let \: x = - \frac{1}{2} \)
\(2 {( - \frac{1}{2} )}^{2} - 7( - \frac{1}{2} ) + k = 0\)
\(2( \frac{1}{4} ) + \frac{7}{2} + k = 0\)
\( \frac{1}{2} + \frac{7}{2} + k = 0\)
\(4 + k = 0\)
\(k = - 4\)
what is the sum?
\( \binom{3}{5} + \binom{1}{5} \)
Answer:
4/5
Step-by-step explanation:
The 2015 Subaru Outback is rated by the EPA at μ=28.0mpg and a standard deviation of σ=3.13mpg. What is the standard error of the sample mean of 200 fill-ups by one driver? (round to four decimal places) 6.1971 0.0001 0.2213 0.0157
The standard error of the sample mean of 200 fill-ups by one driver is 0.2213.
The 2015 Subaru Outback is rated by the EPA at μ=28.0 mpg and a standard deviation of σ=3.13 mpg.
To calculate the standard error of the sample mean of 200 fill-ups by one driver, we can use the formula for standard error:
Standard error = σ/√n
Where,σ = standard deviation of the population (in mpg)n = sample size
To find the standard error of the sample mean of 200 fill-ups by one driver, we need to substitute the given values into the formula:
Standard error = σ/√n= 3.13/√200= 0.2213 (rounded to four decimal places)
Therefore, the standard error of the sample mean of 200 fill-ups by one driver is 0.2213.
Hence, the correct option is 0.2213.
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let r be a partial order on set s, and t ⊆ s. suppose that a,a′ ∈ t, where a is greatest and a′ is maximal. prove that a = a′
Let r be a partial order on set S, and let t be a subset of S. If a and a' are both elements of t, where a is the greatest element and a' is a maximal element, then it can be proven that a = a'.
To prove that a = a', we consider the definitions of greatest and maximal elements. The greatest element in a set is an element that is greater than or equal to all other elements in that set. A maximal element, on the other hand, is an element that is not smaller than any other element in the set, but there may exist other elements that are incomparable to it.
Given that a is the greatest element in t and a' is a maximal element in t, we can conclude that a' is not smaller than any other element in t. Since a is the greatest element, it is greater than or equal to all elements in t, including a'. Therefore, a is not smaller than a'.
Now, to prove that a' is not greater than a, suppose by contradiction that a' is greater than a. Since a' is not smaller than any other element in t, this would imply that a is smaller than a'. However, since a is the greatest element in t, it cannot be smaller than any other element, including a'. This contradicts our assumption that a' is greater than a.
Hence, we have shown that a is not smaller than a' and a' is not greater than a, which implies that a = a'. Therefore, if a is the greatest element and a' is a maximal element in t, then a = a'.
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Suppose that the functions f and g are defined for all real numbers x as follows. f(x)=x-6
g(x)=3x+3 Write the expression
(f+g)(x)=
(f•g)(x)=
(f-g)(-1)=
Answer:
(f+g)(x)=4x-3
\((f•g)(x)=3( {x}^{2} - x - 6)\)
(f-g)(x)= -4x-9
{f-g}(-4)= -6
PLS HELP CORRECT ANSWER GETS BRAINLIEST
Simplify the expression:
(5^8) \ (5^2)
Answer:
15625
Step-by-step explanation:
What is equation of the line graphed below. Y= - 5/2 x-2 -this question was accidentally cut out
Answer:
y = - \(\frac{5}{2}\) x - 2
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (0, - 2) ← 2 points on the line
m = \(\frac{-2-3}{0-(-2)}\) = \(\frac{-5}{0+2}\) = - \(\frac{5}{2}\)
the line crosses the y- axis at (0, - 2 ) ⇒ c = - 2
y = - \(\frac{5}{2}\) x - 2 ← equation of line
The slope of the line that contains the points (2, -7) and (-2, 5) is -3. What is the y-intercept?
A. 11
B. 1
C. -1
D. -13
I trys but cant get it can i please get help?
Answer:
C. -1
Step-by-step explanation:
Find the y intercept by plugging in the slope and a given point into the equation y = mx + b. Then, solve for b:
y = mx + b
-7 = -3(2) + b
-7 = -6 + b
-1 = b
So, the y intercept is -1.
The correct answer is C. -1
I need help on this math question
Answer:
\(3\sqrt{2}+3\sqrt{7}\)
Step-by-step explanation:
looks like your question don't need a step.
<3
Red
Please answer ASAP will mark brainliest!! XŻ bisects
The measurement of
of X?
Answer:
x = 57
Step-by-step explanation:
XZ divides <WXY into two equal parts. Which implies that:
m<ZXY = m<ZXW
Therefore:
m<WXY = 2(m<ZXY)
m<ZXY = 58°
m<WXY = 2x + 2
Plug in the values into the equation
2x + 2 = 2(58)
2x + 2 = 116
2x = 116 - 2 (subtraction property of equality)
2x = 114
x = 114/2 (division property of equality)
x = 57
Consider a standard deck of 52 playing cards with 4 suits. If A is the event of drawing a 6 from the deck, and B is the event of drawing a black playing card from the deck, what is the intersection of A and B? (Remember that the black cards are spades and clubs.)
Answer: Intersection of A and B = 2
Step-by-step explanation:
Total cards = 52
Let A is the event of drawing a 6 from the deck, and B is the event of drawing a black playing card from the deck.
Total cards having 6 on them = 4
[There are 4 suits of two different colors red and black.]
Total black playing card =26
Intersection of A and B = Black cards having 6 = 2
hence, Intersection of A and B = 2
Graph y = -½ x -3 mathematics