Answer:
We are given a defined function: f(x) = 2x + 1. This function is the same as saying y = 2x + 1 (y and f(x) are used interchangeably and are the same value - just a different way of representing it). Because we want to find f(1), math states that if you replace one variable with a value, you must replace all of the same variables with that value. Because of this, if we change f(x) to f(3x), we are declaring that the variable x has a value of 3x. Or, if we were to change f(g) to f(3g + 4), we would then be replacing the g's in the function with 3g + 4.
Using these examples, we can the find the value of f(1). We would simply replace the x-values in the function with the value of 1 and then take any operations necessary - be sure to use PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.
[tex]f(x) = 2x + 1\\\\f(1) = 2(1) + 1\\\\f(1) = 2 + 1\\\\f(1) = 3[/tex]
Therefore, the first step to solve the problem would be to replace the x-values in the equation with the value of 1. From there, you would simplify your equation and find what the value of the function is if evaluated at f(1).
Hope this helps! :)
find the distance between the points (9, 8) and (9, 3)
Answer: √
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
Substitute the actual values of the points into the distance formula.
√
(
9
−
9
)
2
+
(
3
−
8
)
2
Step-by-step explanati i hope you under stand
50082740 x 382039849 - 92894330 + 83022098 divided by 380209382- put it into a punnet square table grid with 3823u02938 and find u and find y and find x to equal 2098309823
I tried but I kinda forgot to make your hair shorter. I got a little carried away.
Z(y+8)-6(y+8) factor out the gcf
Answer:
A quadratic inequality is an equation of second degree that uses an inequality sign instead of an equal sign. The solutions to quadratic inequality always give the two roots. The nature of the roots may differ and can be determined by discriminant (b2 – 4ac).
Sarah wants to save for a car. She has $4,250 in a savings account earning 1.49%
compounded quarterly. If Sarah has four years until she gets her driver's license,
will she have enough to buy a car? If not, what do you recommend that she do to
reach her goal?
Given the amount Sarh has in her account, she would not have enough money to buy a car. I would advise she increases the amount of money in her account.
What is the future value of the money in her account?The formula for calculating future value:
FV = P (1 + r)^nm
FV = Future value P = Present value R = interest rate m = number of compoundingN = number of years$4250( 1 + 0.0149/4)^(4 x 4) = $4510.50
To learn more about future value, please check: https://brainly.com/question/18760477
Find the solution to the inequality 3x≥20
Answer:
x≥20/3
Step-by-step explanation:
divide both sides by 3
3x/3≥20/3
x≥20/3
Hope this helps! Pls give brainliest!
In the following number, which digit is in the ten thousand places?
7,253,917
A.2
B.5
C.3
D.9
Answer:
B. 5
Step-by-step explanation:
How it is 5 is because well if you look to the side you can easily see that the 3 is in the Thousands place so.. the 5 would most likely be in the Ten Thousands place. Your Welcome!
Explanation:
Refer to the place value chart shown below.
The 5 is in the ten-thousands place value.
There's not much else I can add to that explanation, but feel free to ask any other questions you may have.
A two-way frequency table shows grades for students in college and students in high school: high school college total gpa above 3.0 14 26 40 gpa below 3.0 46 14 60 60 40 100 based on this data, are "being in high school" and "gpa above 3.0" independent events? yes, p(high school ∩ gpa above 3.0) = p(high school) ⋅ p(gpa above 3.0) no, p(high school ∩ gpa above 3.0) = p(high school) ⋅ p(gpa above 3.0) yes, p(high school ∩ gpa above 3.0) ≠ p(high school) ⋅ p(gpa above 3.0) no, p(high school ∩ gpa above 3.0) ≠ p(high school) ⋅ p(gpa above 3.0)
Based on the data in two-way frequency table, "being in high school" and "gpa above 3.0" are not independent events.
What is conditional probability?The conditional probability is the happening of an event, when the probability of occurring of other event is given.
A two-way frequency table shows grades for students in college and students in high school.
Let H represent being in high school and G represent the GPA above 3.0. To be an independent event, they must be,
[tex]P(H|G)=P(H)[/tex]
The conditional probability of event H, given that the G is occurred, can be calculated as,
[tex]P(H|G)=\dfrac{14}{40}\\P(H|G)=0.35[/tex]
Total students below 3.0 GPA are 60 and the total number of student are 100. Thus, the probability of being in high school is
[tex]P(H)=\dfrac{60}{100}\\P(H)=0.6[/tex]
Here, conditional probability [tex]P(H|G)[/tex] is not equal to the probability of being in high school.
Hence, based on the data in two-way frequency table, "being in high school" and "gpa above 3.0" are not independent events.
Learn more about the probability here;
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Only 3/5 of the University students wanted to become math teachers if 3500 did not want to become math teachers how many university students were there?”
Answer:
8750
Explanation:
There are 5/5 math teachers in the university. 3/5 of them did not want to become math teachers which means 2/5 of the math teachers is equal to 3500.
3500=2/5
divide 3500 by 2 to get 1/5 of the math teachers.
3550/2=1750
1750 is 1/5 of the math teachers.
multiply 1750 by 5 to get 5/5 of the math teachers
1750*5= 8750
Which trigonometric functions have the same maximum value?
This is a list of trigonometric functions with the same maximum value:
(A) y = arcsinx and y = cos x
What are trigonometric functions?
The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths.
They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.
There are six popular trigonometric functions for an angle.
Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
So, the following equations give us the following maximum values:
arcsinx = -1 to 1
arccosx = -1 to 1
arctanx = -pi/2 to pi/2
arcsecx = ∞
Arcsinx and Arccosx are trigonometric functions that have the same maximum value.
Therefore, this is a list of trigonometric functions with the same maximum value:
(A) y = arcsinx and y = cos x
Know more about trigonometric functions here:
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Complete question:
Which trigonometric functions have the same maximum value?
A. y = arcsinx and y = arccosx
B. y = arcsinx and y = arctanx
C. y = arctanx and y = arcsecx
D> y = arccosx and y = arcsecx
please solve just 7 and 9
Answer:
7. 5, 9. 2
Step-by-step explanation:
If Ill m, solve for x and y.
(7y - 20" (5x - 38)
(3x - 4)
Answer:
Solve for x = 17
Solve for y = 9
The value of x and y from the figure are 17 and 7 respectively
From the given diagram, we are told that I ll m, hence:
5x - 38 = 3x - 4 (alternate interior angle)Get the value of x
5x-3x = -4 + 38
2x = 34
x = 34/2
x = 17
Also from the triangle:
7y - 20 + 5x - 38 = 90
7y + 5x -58 = 90
7y + 5(17) = 90 + 58
7y + 85= 148
7y = 148 - 85
7y = 63
y = 63/7
y = 9
Hence the value of x and y from the figure are 17 and 7 respectively
Learn more here: https://brainly.com/question/14067960
A planting bed contains 0.75 tons of soil. A landscaper will apply fertilizer to the bed. The directions say to apply 1 ounce of fertilizer for every 100 pounds of soil.
How many ounces of fertilizer should the landscaper apply?
Answer:
15 ounces
Step-by-step explanation:
0.75 tons is equal to 0.75 * 2000, or 1500, pounds (1 ton is 2000 pounds). Let x represent the number of ounces of fertilizer that should be applied. Set up a proportion:
[tex] \ \frac{1}{100} = \frac{x}{1500} [/tex]
Solving this for x, we have x = 15. So the landscaper should apply 15 ounces of fertilizer.
Solve for x. Round to the nearest tenth, if necessary.
Answer: 20.4
Step-by-step explanation:
Y is the midpoint of XZ and W is the midpoint of VX.
If VZ=s+52 and WY=7s, what is the value of s?
Answer:
4
Step-by-step explanation:
By the triangle midsegment theorem, 2(YW)=VZ.
This means 2(7s)=s+52, meaning s=4.
Lucy is going to walk in a fundraising event to raise money for her school band her mother has agreed to donate 7.50$ to the school for each mile Lucy walks plus an additional 25$ write an equation that represents y, the total amount of money Lucys mother will donate if she walks x miles during the event
25=7.50x Lucy walked 3.333 miles
Solve for a:
9a-54=36
Answer:
a=10
Step-by-step explanation:
Step 1: Add 54 to both sides.
9a−54+54=36+54
9a=90
Step 2: Divide both sides by 9.
9a\9 =90\9
a=10
Answer:
a=10
Step-by-step explanation:
Add 54 to both sides. You get 9a=90. Divide both sides by 9 and you get a=10.
3: find the missing side length of the similar shapes.
Answer:
21 ft
Step-by-step explanation:
the amount of times 12 goes into 18 is 1.5
this is also true for 18 to 27
so that means
when you multiply 14 to 1.5
you get what the ? is
14 * 1.5 = 21
is is 21 ft
If Rindou has 20 apples and Ran has 48 apples,how old is Rindou’s dog ?
A jar contains 550 beans. Of all the beans, 2/5 are white beans and the rest are navy beans. What is the ratio of white beans to navy beans? How many white and navy beans are in the jar?
Pls Help Asap. Please, will mark BRAINLIEST
Answer:
[tex]30\ \ \ \ \ 12\ \ \ \ \ 24\ \ \ \ \ 12[/tex]
Step-by-step explanation:
[tex]Because\ Gerry\ makes\ a\ scale\ drawing\ of\ the\ backyard\ using\ a\ scale[/tex]
[tex]of\ 3\ contimeters\ to\ 1\ yard.\ .[/tex]
[tex]10\times3=30\ \left(Cm\right)[/tex]
[tex]4\times3=12(CM)[/tex]
[tex]8\times3=24\left(cm\right)[/tex]
[tex]4\times3=12.(GM)[/tex] [tex]\left[Acconling\ to\ the\ information\ in\ the\ picture\right][/tex]
I hope this helps you:)
The radius of a circle is 4 inches. What is the circle's circumference?
Answer:
8π inches or approximately 25.12 inches
Step-by-step explanation:
What's the circumference of a circle?
❖ The circumference of a circle is the distance around a circle.
How do we find the circumference of a circle?
❖ The formula to find the circumference of a circle is 2πr, where r =
radius. We can solve in terms of pi, or approximate pi to 3.14
Solving
[tex]\pi * 4*2[/tex] [tex]\pi *8[/tex] 8π inchesor
[tex]3.14*4*2[/tex] [tex]3.14*8[/tex] 25.12 inchesHave a lovely rest of your day/night, and good luck with your assignments! ♡
Answer:
See below.
Step-by-step explanation:
Hi there!
We are given a circle, and inside that circle, we know that the radius of that circle is 4 inches
We want to find the circumference of the circle.
The circumference (C) is essentially the perimeter of a circle; the formula for the circumference of a circle is 2πr (r is the radius, π is pi)
Since we know the radius, we can substitute that value into the formula
C=2πr, r=4
C=2π*4
C=8π
If you need the answer in terms of pi, then the answer is 8π inches. However, if you need a number, then substitute an approximation for π, which will usually be 3.14 or 22/7
Using 3.14 for example,
C=8*3.14=25.12 inches
Using 22/7 meanwhile,
C=8*22/7=25.14 inches (rounded to the nearest hundredth)
So the answer is either 8π inches, 25.12 inches, or 25.14 inches (depending on how you need it approximated)
Either way, hope this helps!
See more on finding the circumference of a circle given the radius here: https://brainly.com/question/15882336
Solve for x. Enter the solutions from least to greatest.
(x + 5)2 – 64 = 0
lesser x =
greater x =
Answer:
Step-by-step explanation:
( x + 5 )² - 64 = 0
( x + 5 )² = 64
x + 5 = ± √64
x + 5 = ± 8
(1). x + 5 = - 8
x = - 13 ( lesser )
(2). x + 5 = 8
x = 3 ( greater )
WILL GIVE BRAINLY PLEASE ANSWER THIS MATHEMATICAL QUESTION STEP BY STEP!!!!!!!
(-5 − 2) × (-3)
Answer:
-5-2 = -7 Step 1 from abaolute value quality
-7*(-3) =21 step 2 from absolute value quality
Answer:
24
Step-by-step explanation:
Start with parenthesis:
(-5 -3) x (-3)
-8 x -3
Then multiply:
-8 x -3 = 24
Select either relation (if the set is a relation but not a function), function (if the set is both a relation and a function), or neither (if the set is not a relation).
A = {(1, 2) (2, 2) (3, 2) (4, 2)}
Answer:
Function
Step-by-step explanation:
Since each x value corresponds to a single y value
Suppose that y varies inversely with x. Write an equation for the inverse variation.
y = 4 when x = 6
Answer:
y = 24/x
Step-by-step explanation:
[tex]\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{"y" varies inversely with "x"}}{y = \cfrac{k}{x}}\qquad \textit{we also know that} \begin{cases} y = 4\\ x = 6 \end{cases} \\\\\\ 4=\cfrac{k}{6}\implies 24=k~\hspace{10em}\boxed{y = \cfrac{24}{x}}[/tex]
A store sells bananas by weight. The total cost to buy 5 pounds of bananas is $3.75.
How do you correctly calculate the total cost, T, to buy 2 pounds of bananas?
Answer:
Answer
5=$3.75
3.75÷5=.75 ($.75 per banana)
.75x2=T
T=$1.50
Step-by-step explanation:
Answer:
T= 0.75
Step-by-step explanation:
5=$3.75
3.75÷5=.75 ($.75 per banana)
.75x2=T
The price of a gallon of apple cider is $7.00. The price
of eight 4.23 ounce juice boxes is $2.39.
Peter wants to have at least a gallon of either only cider
or only juice. Which product is the better deal?
Answer:
Apple Cider is the better deal.
Step-by-step explanation:
1 gallon is 128 ounces.
8 times 4.23 is 33.84. So each purchase is 33.84 ounces. If you multiply 33.84 ounces by 4 you get 135.36. (I did 4 because 3 would be too little to make a gallon).
After that you need to multiply 2.39 and 4. You need to do this because it will tell you the cost. That will come out to 9.56$.
So, that is why the apple cider is a better deal, because it is 7$ and the other would be 9.56$.
Hope this helps :-)
What is the standard form of y+4=2x-5
5c+16.5=13.5+10c
solve for c
Answer:
c = 3/5
Step-by-step explanation:
5c+16.5=13.5+10c
Subtract 5c from both sides:
13.5+5c=16.5
5c=3
c = 3/5
Find 0.46% of 1000grams
Answer:
4.6 grams :)
Step-by-step explanation:
please give brainliest i only need one more crown to level up <3
have a great day!
and if this is a test, i hope you get a 100