Answer:
12 and 6Step-by-step explanation:
The equation is not properly formatted presumably here is the format.
Given
[tex]f(x) = 2x^2 + 4[/tex]
determine f(2) , and f(−1).
So we are expect to perform substitution operation and return an answers for values of x= 2 and x= -1
1. When x= 2 we have
[tex]f(2) = 2*2^2 + 4\\\\f(2)= 2*4+4\\\\f(2)= 8+4\\\\f(2)= 12[/tex]
2. When x= -1 we have
[tex]f(-1) = 2*-1^2 + 4\\\\ f(-1)= 2*1+4\\\\ f(-1)= 2+4\\\\ f(-1)= 6[/tex]
Which table shows the reflection of f(x) across the x-axis?
The first picture is the given table and the other three are the possible answers.
Answer:
The correct option is;
x, f(x)
-5, 3
-1, -2
2, -4
6, 1
Step-by-step explanation:
The reflection of a point (x, y) across the x-axis is given by the relation;
Coordinate of the pre-image (x, y) [tex]\overset{Reflection \ across \ the \ x-axis}{\rightarrow}[/tex] Coordinate of image (x, -y)
Therefore, we have for the points as follows;
(-5, -3) [tex]\overset{Reflection \ across \ the \ x-axis}{\rightarrow}[/tex] (-5, 3)
[tex](-5, -3) \mapsto (-5, 3)[/tex]
(-1, 2) [tex]\overset{Reflection \ across \ the \ x-axis}{\rightarrow}[/tex] (-1, -2)
[tex](-1, 2) \mapsto (-1, -2)[/tex]
(2, 4) [tex]\overset{Reflection \ across \ the \ x-axis}{\rightarrow}[/tex] (2, -4)
[tex](2, 4) \mapsto (2, -4)[/tex]
(6, -1) [tex]\overset{Reflection \ across \ the \ x-axis}{\rightarrow}[/tex] (6, 1)
[tex](6, -1) \mapsto (6, 1)[/tex]
Molly earns a rebate each month on her movie tickets and books. She earns $0.25 for each movie ticket and $2 for each book. Last month molly purchased 4 movie tickets and earned $17. How many books did molly purchase last month?
Answer:
8 books
Step-by-step explanation:
Earning for each ticket is $0.25 and for each book is $2
If total earning for 4 tickets and x books is $17, then the equation is:
0.25*4 + 2x = 171 + 2x = 172x = 16x = 16/2x = 8So Molly purchased 8 books
Change this radical to an algebraic expression with fractional exponents
Answer:
X^(3÷5)
Step-by-step explanation:
radical basicly works as ÷ in the power.
Please help! offering 15 points and a thanks with brainiest
Answer:
[tex]\huge\boxed{ 12\ people}[/tex]
Step-by-step explanation:
At least 6 hours means that the people took at least 6 hours and at most any number that is greater than 6. Here the greatest no. is 10.
So, the range for this will be 6-10
No. of People who sleep for 6-8 hours = 9
No. of People who sleep for 8-10 hours = 3
No. of People who sleep for 6-10 hours = 9+3
=> 12 people
Dwayne is walking on a straight sidewalk. He spots
a vertical flagpole 10 feet to his right. His friend
Ursula says that the flagpole and sidewalk can be
used to model two lines. Which term best describes
the sidewalk and the flagpole?
Answer:
Skew lines
Step-by-step explanation:
Skew lines are two straight lines in three dimensional space that are neither parallel nor do they intersect Examples of skew lines are the front sidewalk and a line that goes along one of the top edges of the house, or lines that connecting opposite edges of a regular tetrahedron
Other examples of skew lines can be found in non co-planar non parallel, parts of a bridge.
Drag equations to each row to show why the equation of a straight line is y = 3x, where 3 is the slope. Math item stem image
Answer:
Step-by-step explanation:
The question lacks appropriate diagram. Find the diagram attached.
Slope is the change in coordinate of the y coordinate to the x coordinate.
Mathematically, slope m = ∆y/∆x
From the diagram ∆y is the same as 3 (along the vertical) while ∆x is the same as 1 (along the horizontal)
m = ∆y/∆x = 3/1
∆y/∆x = 3/1
y/x = 3/1
Cross multiply
y × 1 = 3 × x
y = 3x
Hence the slope of the line is y = 3x
Answer:
you need to add the picture next time :)
Step-by-step explanation:
y/x=3/1 is the first blank
y=3x is the last one
hope that helps:)
Which property of equality was used to solve this equation?
-5x=4
-5x/-5=4/-5
X=-4/5
A.addition property of equality
B.
subtraction property of equality
C. multiplication property of equality
D.
division property of equality
Answer:
D. Division property of equality.
Step-by-step explanation:
[tex] - 5x = 4 \: \: \: \frac{ - 5x}{ - 5} = \frac{4}{ - 5} \: \: \: \: x = \frac{ - 4}{5} [/tex]
We divided the terms on both sides by -5.
Hope this helps ;)❤❤❤
Determine the standard form of the equation of the line that passes through (-7, 8) and (0, 2)
Answer:
The answer is
[tex]y = - \frac{6}{7} x + 2[/tex]Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation we must first find the slope
Slope of the points (-7, 8) and (0, 2) is
[tex]m = \frac{2 - 8}{0 + 7} = - \frac{6}{7} [/tex]After that use the formula
y - y1 = m(x - x1)
To find the equation of the line
Equation of the line using point (0,2) and slope - 6/7 is
[tex]y - 2 = - \frac{6 }{7} (x - 0)[/tex][tex]y - 2 = - \frac{6}{7} x[/tex]We have the final answer as
[tex]y = - \frac{ 6}{7} x + 2[/tex]Hope this helps you
In a survey, 200 people were asked if they smoke and whether or not they exercise regularly (more than twice a week). The results are summarized in the table
below
Answer/Step-by-step explanation:
a. % of people who smoke = no. of people who smoke ÷ total no. of people surveyed × 100
Total no. of people who smoke is given = 4 + 36 = 40
Total people surveyed = 200
% of people who smoke = [tex] \frac{40}{200}*100 = \frac{40}{2}*1 = 20 percent [/tex]
a. % of people who do not exercise regularly = no. of people who do not exercise regularly ÷ total no. of people surveyed × 100
Total no. of people who do not exercise regularly = 36 + 134 = 170
Total people surveyed = 200
% of people who smoke = [tex] \frac{170}{200}*100 = \frac{170}{2}*1 = 85percent [/tex]
make y the subject of the formula
b=fg²/dt+gy
Answer:
Step-by-step explanation:
[tex]b=\frac{fg^{2}}{dt+gy}\\\\\\b*(dt+gy) = fg^{2}\\\\\\bdt + bgy = fg^{2}\\\\\\bgy = fg^{2} - bdt\\\\\\y =\frac{fg^{2}-bdt}{bg}[/tex]
A fair die is thrown once.find the probability that an odd number appears?
Hi
on a regular dice you have 3 even number : 2 ;4;6
3 odd number : 1;3;5
so probability to have an odd number is : 3/6 = 1/2
Answer:
1/2
Step-by-step explanation:
On normal six-sided die, there are the numbers: 1, 2, 3, 4, 5, and 6.
The odd numbers are 1, 3, and 5.
There is a [tex]\frac{1}{6}[/tex] chance that you will roll any number specifically. Since you stated 3 numbers, the probability that you will roll any of those three numbers is [tex]\frac{3}{6}[/tex], which is equivalent to [tex]\frac{1}{2}[/tex].
What is (are) the solution(s) to the equation
2
(x−4)
2
=50
Answer:
x = 9 and x = -1
Step-by-step explanation:
This equation should be written all on one line:
2(x - 4)^2 = 50
using " ^ " to denote exponentiation.
Dividing both sides by 2 yields
(x - 4)^2 = 25
We must solve for x - 4, and then for x alone:
Taking the square root of both sides, we get:
x - 4 = ±5
which yields two separate solutions: x = 9 and x = -1
Solve 27 and 29, will give BRAINLIST!!
Answer:
see below
Step-by-step explanation:
27.
We can use ratios to solve
152 dollars 532 dollars
---------------- = ----------------
4 days x days
Using cross products
152x = 4*532
152x =2128
Divide each side by 152
152x/152 = 2128/152
x =14
14 days
29.
1 inch 2/3 inches
------------ = ----------------
6.5 ft x ft
Using cross products
1x = 2/3 * 6.5
x = 4.333333
c = 4 1/3 ft
Answer:
[tex]\Large \boxed{\mathrm{27. \ 14 \ days}} \\ \\ \Large \boxed{\mathrm{29. \ 4 \frac{1}{6} \ feet}}[/tex]
Step-by-step explanation:
(27)
We can apply ratios to solve for the problem.
Let x be the missing value.
[tex]\displaystyle \frac{152}{4} =\frac{532}{x}[/tex]
Cross multiply.
152 × x = 532 × 4
152x = 2128
Divide both sides by 152.
x = 14
(29)
We can apply ratios to solve for the problem.
Let x be the missing value.
[tex]\displaystyle \frac{1}{6\frac{1}{4} } =\frac{\frac{2}{3} }{x}[/tex]
Cross multiply.
1 × x = 6 1/4 × 2/3
x = 6 1/4 × 2/3
Convert mixed fraction to improper fraction.
x = 25/4 × 2/3
x = 50/12
Simplify.
x = 25/6 or 4 1/6
You buy 3 bags of Hot Cheetos
for $2.00 and a coke for $1.50. What is
change if you pay with $10?
Answer:
2.50
Step-by-step explanation:
Each bag of cheetos are 2 dollars. So 6 dollars for all of them. Add that by 1.50 and get 7.50 total. subtract that from ten and you get 2.50
What is the difference between 4.5 and - 3.75
Answer:
.75
Step-by-step explanation:
What is the total number of common tangents that can be drawn to the circles
Answer:
A. 0
Step-by-step explanation:
The circles are concentric. I.e there is no point where the circumferences of both circles ever touch each other. Hence there can be no tangent line possible that can be common to both circles at the same time.
solve 5(2+n)=3(n+6)
it’s for my AQR class
Answer:
n = 4
Step-by-step explanation:
We can expand, getting 10 + 5n = 3n + 18.
Then, combine all like terms, getting 5n - 3n = 18 - 10, which can be rewritten as 2n = 8.
Solve this by dividing both sides by 2, and get n = 4.
Answer: so its n=4
Step-by-step explanation: This problem will require distribution
5(2+n) = 3(n+6)
10+5n=3n+18
Move all the variables on one side
5n-3n=18-10
2n=8
Divide by 2
n=4
5 ( 2 + n ) = 3 ( n + 6 )
First distribute the 5 and the 3. By doing that, your equation should look like
10 + 5n = 3n + 18 Now, subtract 3n from both sides, this way all the " n " would be on the same side making it easier to solve
By subtracting 3n from both sides the equation would be
10 + 2n = 18 Now subtract 10 from both sides
By subtracting 10 from both sides your equation should be
2n = 8 Divide 2 from both sides
By dividing your equation should look like
n = 4 which is your answer
Solve it: x + 9 - 7 = 15
Answer:
x = 13
Step-by-step explanation:
Rearrange: x = 15 + 7 - 9, x = 13
Answer:
X=2
Step-by-step explanation: First 9-7=2 then subtract 2 from both sides and you should be left with X=13
Mind helping me out with these? Find the mean and range of the following data. 50, 60, 48, 72, 23, 98, 100 . The marks in a subject for 12 students are as follows: 31, 37, 35, 38, 42, 23, 17, 18, 35, 25, 35, 29. For the given data, find the (a) Mean (b) Mode (c) Median. If the mean of 26, 28, 25, x, 24 is 27, find the value of x.
Answer:
1. Mean- 64.43
Range- 77
2. Mean- 30.42
Mode- 35
Median- 20
Step-by-step explanation:
1. Mean- 50+60+48+72+23+98+100= 451
451 divide by 7= 64.43
Range- biggest no. - smallest no. 100-23=77
2. Mean- 31+37+35+38+42+23+17+18+35+25+35+29= 365 -->
365 divide by 12= 30.42
Mode- most repeated no= 35
Median- 2 middles-- 23+17=40 then divide by 2= 20.
Answer:
first:
mean=64.43
range=77
second:
mean =30.42
mode=35
median=33
x=-76
9.48 as a mixed number in simplist form
Answer:
9 12/25.Step-by-step explanation:
9.48 as a mixed number in simplest form:
948/100
948/100= 948 ÷ 4/100 ÷ 4
948/100= 948 ÷ 4/100 ÷ 4= 237/25
948/100= 948 ÷ 4/100 ÷ 4= 237/25= 9 12/25
9 12/25 is the mixed number.
evaluate ∛27 and explain your answer. Please do not answer just for points
Answer:
3
Step-by-step explanation:
(27) ^1/3
We want to know what number times itself 3 times is equal to 27
3*3*3 = 27
(3^3)^1/3
3
Answer:
[tex]\Huge \boxed{3}[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{27}[/tex]
27 is a perfect cube.
A number when multiplied by itself 3 times gives 27.
[tex]\sqrt[3]{3 \times 3 \times 3}[/tex]
[tex]\sqrt[3]{3^3 }=3[/tex]
The cube root of 27 is 3.
Every morning, siblings Jack and Jill roll a regular six-sided die to determine who will get to ride in the front seat on the way to school. If the number is even, Jack gets to ride in the front. If the number is odd, Jill gets to ride in the front.
Answer:
3/6
LCM of 6 and 20= 60
3/6=1/2=10/20=10days
so estimated 10 days
❤️ PLEASE HELP QUICK!! ILL GIVE BRAINLIST ANSWER!! ❤️
Answer:
3x² + 10x + 5
Step-by-step explanation:
Sum the sides together for perimeter (P)
Starting with the base and going clockwise
P = x² + 5x - 2 + x² + 5 + x² + 1 + 4 + 3x - 3 + 2x ← collect like terms
= 3x² + 10x + 5
HELP can someone know this. It’s just about integers
I'll do the first two to get you started.
======================================================
Problem 1
Answer: 0-7+11 = 4
-----------------------------------
Explanation:
The bottom arrow is where we start. Specifically at 0 on the number line.
Then we move 7 units to the left. This is represented by -7 on the number line. So -7 is part of the addition equation.
Then we move 11 units to the right to arrive at 4 on the number line. This is the same as adding 11 to -7 to get -7+11 = 4 and that is the same as 0-7+11 = 4
======================================================
Problem 2
Answer: 1 + (-5) + 9 = 5
-----------------------------------
Explanation:
We now start at 1 on the number line. Move 5 units to the left to get to -4
Moving 5 units to the left is the same as subtracting 5, or adding on -5
So far we have 1 + (-5) which simplifies to -4
The last thing we do is add on 9 to go from -4 to 5. In other words, we move 9 units to the right when we go from -4 to 5
In terms of an equation, -4 + 9 = 5
So overall, that's how I got 1 + (-5) + 9 = 5
when you form General ideas the rules based on your experiences and hit up vacations you call that form of reasoning ___.
Whhen you form General ideas the rules based on your experiences and hit up vacations you call that form of reasoning what?
[tex]\huge\tt\red{AnswEr}[/tex]
[tex]\huge\implies\tt\underline{Induction}[/tex]
Simplify.
Rewrite the expression in the form 4^n
Answer:
4^(-2)
Step-by-step explanation:
4^6 * 4^-8
Since the bases are the same, and we are multiplying, we can add the exponents
4^(6-8)
4^(-2)
Convert 15.8 square meters (m^2 ) into square feet ( ft^2).
Answer:
Step-by-step explanation:
1 sq. meter = 10.7639 sq.feet
15.8 sq. m = 15.8 * 10.7639
= 170.06962 sq. feet
Help me plz I’ve never been good with math
Someone help asap! pls
Rewrite 2(x + 3y - 2z) using the Destributive Property
Answer:
2x+6y-4z
Step-by-step explanation:
multiply the two by each term and coefficient inside of the parentheses