Answer:
a) 1
Step-by-step explanation:
3(x + 1) = -2(x - 1) +6
3x + 3 = -2x + 2 + 6
3x + 3 = -2x + 8
Subtract 3 from both sides
3x + 3 -3 = -2x + 8 -3
3x = - 2x + 5
Add 2x to both sides
3x + 2x = -2x + 5 +2x
5x = 5
Divide both sides by 5
5x/5 = 5/5
x = 1
The graphs below have the same shape the equation of the red graph is f(x) =x^2. What is the equation of the blue graph?
Answer:
[tex]G(x)=(x-6)^2[/tex]
which agrees with the answer D of your options
Step-by-step explanation:
Notice that the graph of G(x) has the initial graph shifted horizontally to the right in 6 units, therefore such horizontal shift is accomplished by subtracting the 6 units from the x-variable in the original expression:
[tex]G(x)=(x-6)^2[/tex]
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
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
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:)
In a small town, 68% of the people I need television, 72% owned radio, 12% owned neither television nor radio
Represent the information on a Venn diagram
What percentage of the population owned television only?
Answer:
The total of people is the 100%.
68% owns a tv.
72% owns radios.
12% does not own anything.
Now, if we add those, we have:
12% + 68% + 72% = 152%.
This is larger than the 100%, then this means that there is a percentage of people that have both Tv and Radio, this percentage is:
152% - 100% = 52%
We have a surpass because we are adding those 52% two times (because they belong in two different groups)
So, the table is:
68% owns a tv.
72% owns a radio.
12% does not own anything.
52% owns both, radio and tv.
68% - 52% = 16% owns only tv.
72% - 52% = 20% owns only radio.
Then the Venn diagram consist in two circles, one with the 72%, other with the 68%, in such way that the circles have an intersection of the 52%.
an Airbus A380 has 1 first class section 1 business class section and 4 economy class sections
the first class section has 14 seats. 6/7 are being used.
the business class section has 64 seats. 7/16 are being used.
each economy class section has 117 seats. 7/13 in each section are being used.
are more than half the seats on the plane being used you must show your working out.
Answer:
Yes, more than half are being used. (292 out of 546 used)
Step-by-step explanation:
The first part of this problem is to determine the total amount of seats on the plane so we can determine what half of the seats would be.
1st class has 14 seats.
Business-class has 64 seats.
And the 4 economy classes have 117 each, meaning 117 * 4 = 468
So the total amount of seats are 14 + 64 + 468 = 546
So half that amount would be 273.
Now we can determine the number of seats being used.
1st class has (6/7) * 14 = 12 seats used
Buisness-class has (7/16) * 64 = 28 seats being used
Economy has 4 * (7/13) * 117 = 4 * 63 = 252 seats being used
So the total amount of used seats would be 12 + 28 + 252 = 292.
Note that 292 is greater than 273, so there is indeed more than half the seats on the plane being used.
Cheers.
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
This is for Algebra 2 I’m stuck I don’t know if I’m right please help
Answer:
y=a|x-h|+k (absolute value function)
a= 3/5 (a easier way to know is it is somehow basically the slope of the line but it must be positive.)
h= -3 (you are correct)
k= -1 (you are correct)
❤️ 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
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
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.
Does anyone know this?
Answer:
I can tell you the points
(6 , 11) and (-7 , -11)
Step-by-step explanation:
use the formula V=6s2 to find the surface area of a cube with the sides of length a = 1/3 cm
Answer:
[tex]V = \frac{2}{3} cm^2[/tex]
Step-by-step explanation:
Given
[tex]V = 6s^2[/tex]
Required
Find the surface area when the length is [tex]\frac{1}{3}\ cm[/tex]
To do this, we simply substitute [tex]\frac{1}{3}\ cm[/tex] for s in the given formula
[tex]V = 6s^2[/tex] becomes
[tex]V = 6 * \frac{1}{3}^2[/tex]
[tex]V = 6 * \frac{1}{3} * \frac{1}{3}[/tex]
Combine Fractions
[tex]V = \frac{6 * 1 * 1}{3 * 3}[/tex]
[tex]V = \frac{6}{9}[/tex]
Simplify Fraction
[tex]V = \frac{2}{3} cm^2[/tex]
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
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]
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
Crystal Can Ride her Bike
10 miles
in 21 hours. What is her
velocity ?
Answer:
Step-by-step explanation:
10 miles isn't very far in 21 hours are those numbers correct?
Velocity is distance/time
10/21 =.476 mph
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].
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 ;)❤❤❤
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]
Does anyone know what the equation would be
What is the difference between 4.5 and - 3.75
Answer:
.75
Step-by-step explanation:
f(-3) if f(x) = 4x^2 + 7x
Answer:
86x
Step-by-step explanation:
I hope this helps you
let's write -3 for x
f(-3)=4.(-3)^2+7.(-3)
f(-3)=4.9-21
f(-3)=36-21
f(-3)=15
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
Someone help asap! pls
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.
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
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
I need help ASAP
Integrated math II
Answer:
[tex] \boxed{ \bold{ \sf{x = 16}}}[/tex]
[tex] \boxed{ \bold{ \sf{m < AFD = 82}}}[/tex]
Step-by-step explanation:
[tex] \sf{5x + 18 = 3x + 50}[/tex]
( Being vertically opposite angles)
Vertically opposite angles are always equal.
Move variable to L.H.S and change it's sign
Similarly, Move constant to R.H.S and change it's sign
⇒[tex] \sf{5x - 3x = 50 - 18}[/tex]
Collect like terms
⇒[tex] \sf{2x = 50 - 18}[/tex]
Subtract 18 from 50
⇒[tex] \sf{2x = 32}[/tex]
Divide both sides of the equation by 2
⇒[tex] \sf{ \frac{2x}{2} = \frac{32}{2} }[/tex]
Calculate
⇒[tex] \sf{x = 16}[/tex]
The value of x is 16
Now, let's find value of m<AFD :
[tex] \sf{m < afd + 5x + 18 = 180}[/tex] ( sum of angle in straight line )
plug the value of x
⇒[tex] \sf{m < AFD + 5 \times 16 + 18 = 180}[/tex]
Multiply the numbers
⇒[tex] \sf{m < AFD + 80 + 18 = 180}[/tex]
Add the numbers
⇒[tex] \sf{m < AFD + 98 = 180}[/tex]
Move constant to R.H.S and change it's sign
⇒[tex] \sf{m < AFD = 180 - 98}[/tex]
Subtract 98 from 180
⇒[tex] \sf{m < AFD = 82}[/tex]
Value of m<AFD = 82
Hope I helped!
Best regards!!
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