Answer:
A
Step-by-step explanation:
f(x) = x²
f(x) becomes f(13x) + 6
the "+ 6" at the end tells us already everything, because there is only one aber option listed that contains a shift up. and that is exactly what that "+ 6" did. it adds 6 to every possible y value of the function. so, the whole function moves up by 6 units.
and yes, the 13x of f(13x) stretches the function horizontally (along the x axis).
simply said, whenever the x value for the original function increased by 1, it increases for the new function by 13.
can someone please help mee and graph it for me pleasee(20 points and i will give brainliest!!!)
Answer:
vertex: (3,1)
y-intercept = (0,-8)
x-intercept- Smaller=2 Larger=4
Domain= all real numbers, identity, infinite
Range= 1 is greater than or equal to y
axis of symmetry=3
Step-by-step explanation:
In the diagram shown, the area of the triangle is 44.3m². If b = 14.1m and the angle at C = 48°, work out x. Round to 1 DP. X C b
If the height of the triangle will be 6.28 meters. Then the value of x will be 8.46 meters.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
In the diagram shown, the area of the triangle is 44.3 m².
If b = 14.1 m and the angle at C = 48°.
Then the value of x will be
The height of the triangle will be
A = 1/2 × B × H
44.3 = 1/2 × 14.1 × h
h = 6.28 m
Then the value of x will be
sin 48° = 6.28 / x
x = 8.455 ≈ 8.46 m
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can someone please help mee
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:Domain = [-2, 1)[/tex]
[tex]\qquad \tt \rightarrow \:Range = [0 , 4][/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
Domain = All possible values of x for which f(x) is defined
[ generally the extension of function in x - direction ]
Range = All possible values of f(x)
[ generally the extension of function in y - direction ]
[tex] \large\textsf{For the given graph : } [/tex]
[tex]\qquad \tt \rightarrow \: domain = [ - 2,1)[/tex]
[tex]\qquad \tt \rightarrow \: range= [ 0,4][/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
The number of boys who signed up to play winter basketball is 175 percent of what it was last year. if 320 boys played winter basketball last year, how many signed up to play this year?
The number of boys signed up to play basketball this year is 560.
Given that, the number of boys who played basketball last year = 320.
We need to find the number of boys signed up to play basketball this year.
What is a percentage?In mathematics, a percentage is a number or ratio expressed as a fraction of 100.
Now, the number of boys signed up to play basketball this year = 175 per cent of what it was last year.
So, the number of boys signed up to play basketball this year = 175% of 320
[tex]=\frac{175}{10} \times 320=1.75 \times 320=560[/tex]
Therefore, the number of boys signed up to play basketball this year is 560.
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23.
(05.07 MC)
Use the data in the table to determine the correlation coefficient. (1 point)
Overall Student Average Math Class Average
90 80
95 90
80 90
84 95
75 75
80 85
0.65
0.35
0.30
0.03
The correlation coefficient of the data given in the table, using a calculator, is of 0.35
How to find the correlation coefficient of a data-set using a calculator?To find the coefficient, we need to insert the points (x,y) in the calculator.
In this problem, we have that:
The values of x are: 90, 95, 80, 84, 75, 80.The values of y are: 80, 90, 90, 95, 75, 85.Using a calculator, the coefficient is of 0.35.
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Please help solve for x..
Answer:
x = 1 or x = -1
Step-by-step explanation:
Given equation:
[tex]x^{100}-4^x \cdot x^{98}-x^2+4^x=0[/tex]
Factor out -1:
[tex]\implies -1(-x^{100}+4^x \cdot x^{98}+x^2-4^x)=0[/tex]
Divide both sides by -1:
[tex]\implies -x^{100}+4^x \cdot x^{98}+x^2-4^x=0[/tex]
Rearrange the terms:
[tex]\implies 4^x \cdot x^{98}-4^x-x^{100}+x^2=0[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c \quad \textsf{to }x^{100}:[/tex]
[tex]\implies 4^x \cdot x^{98}-4^x-x^{98}x^2+x^2=0[/tex]
Factor the first two terms and the last two terms separately:
[tex]\implies 4^x(x^{98}-1)-x^2(x^{98}-1)=0[/tex]
Factor out the common term [tex](x^{98}-1)[/tex] :
[tex]\implies (4^x-x^2)(x^{98}-1)=0[/tex]
Zero Product Property: If a ⋅ b = 0 then either a = 0 or b = 0 (or both).
Using the Zero Product Property, set each factor equal to zero and solve for x (if possible):
[tex]\begin{aligned}x^{98}-1 & = 0 & \quad \textsf{or} \quad \quad4^x-x^2 & = 0 \\x^{98} & =1 & 4^x & = x^2 \\x & = 1, -1 & \textsf{no}& \textsf{ solutions for } x \in \mathbb{R}\end{aligned}[/tex]
Therefore, the solutions to the given equation are: x = 1 or x = -1
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Estimate the Value of 196/0.499
Answer:
The value of the expression will be "392.79".
Step-by-step explanation:
~ The technique of dividing a quantities into equivalent portions as well as determining however many equal components may be formed, is determined as a division.
~ It is denoted by "/".
According to the equation, the expression is:
→ 196/0.499
By applying the division, we get
→ 392.79
Answer:
392
Explanation:
Note that we are estimating, not finding the actual value. 0.499 is very close to 0.5, so to estimate this expression, we can do 196 ÷ 0.5. Dividing a number by 0.5 is the same as doubling it, so this can also be seen as
196 · 2, which is 392.
Hope this helps !! :D
The actual answer is the other one, but again, you're finding an estimate!
These points are linear.
Find the slope.
x
012345
y 3 6 9 12 15 18
slope = [?]
Answer:
Step-by-step explanation:
If 5 hours at a computer terminal costs $25, what is the cost of 6 hours?
A. $30
B. $45
C. $150
D. $12
Answer:
30 dollars
Step-by-step explanation:
25/5 = 5 dollars per hour
so 6 hours would be 5 * 6 = 30 dollars
Answer:
It would be B
Step-by-step explanation:
First, we need to find out the unit rate
5/25=1/5
Therefore, that means in one hour the cost would be $5
Since you are going from one hour to 6 hours you need to multiply both numbers by 6
Since 5x6=30, it would be 30$ :)
Bearing a to b is 280 what is bearing b to A
Answer:
please see photo attached for detailed analysis.
a sunflower has increased in height from 72.4cm to 86.2 cm. what is the percentage increase?
Answer:
initial hieght = 72.4 cm
final hieght = 86.2 cm
change in hieght = 9.8 cm
percentage increase = (9.8 ÷ 72.4 ) * 100 = 13.59 %
The data set represents the number of minutes dan spent on his homework each night. 30, 35, 35, 45, 46, 46, 52, 55, 57 which box plot correctly represents the data?.
The box plot first represents the data set option first is correct the third quartile lies between 52 to 54.
What is the box and whisker plot?A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have data set:
30, 35, 35, 45, 46, 46, 52, 55, 57
We can find below details from the data set:
Population size = 9
Minimum: 30
First quartile: 35
Median = 46
Third quartile = 53.5
Interquartile Range = 18.5
Maximum = 57
Outliers = none
Thus, the box plot first represents the data set option first is correct.
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Solve for x
((x + 3)/4) + (((2x - 12) - 1)/3) = 1
Answer:
x=5
Step-by-step explanation:
[tex]((x+3)/4)+(((2x-12)-1)/3)=1\\\frac{x+3}{4} +\frac{2x-12-1}{3} =1\\\frac{x+3}{4} +\frac{2x-13}{3} =1\\[/tex]
Now we have to cross multiply the denominator to progress further.
[tex]\frac{3(x+3)}{4*3} +\frac{4(2x-13)}{3*4} =1\\\frac{3x+9}{12} +\frac{8x-52}{12} =1\\\frac{3x+9+(8x-52)}{12} =1\\\frac{3x+9+8x-52}{12} =1\\\frac{11x-43}{12} =1\\11x-43=12\\11x=43+12\\11x=55\\x=\frac{55}{11} \\=5[/tex]
Answer: 5 x 4/7
Full explanation.
Answer:
20/7
Step-by-step explanation:
5×4/7
numerator5×numerator4=20
denominator 7×denominator1=hence,answer is
20/7
Which of the following describes point D?
O (-4,0)
O (4,0)
O (0,4)
O (0,-4)
Answer:
The answer is C (0,4)
Step-by-step explanation:
Looking at the graph we have to find a point (x,y) of D.
Find point D. It is on the y-axis, but which one? Positive/Negative y-axis.
It appears to be on the positive y-axis.
Now we have to choose either option C or D.
Option C seems like the best choice since the point is (x,y) is (0,4) on the positive y-axis.
Option D is quite the opposite of point D since the point (0, -4) is on the negative y-axis.
The answer is C. (0,4)
Jacob traveled 171 miles in 3.8 hours. He wants to know how many miles he traveled in one hour, so he set up this problem:
Answer:
so first we have to divide each side by 38
4.5miles=0.1
45miles=1 hour
Hope This Helps!!!
Which of the following did you include in your response? Check all of the boxes that apply. the range, or spread, of the salaries whether most people make a very low salary and one or two people make a high salary the minimum salary, and whether that is an entry level or starting salary the maximum salary whether the maximum salary is a lot higher than the average and other salaries are a lot lower than the mean
Answer:
Check all of them
Step-by-step explanation:
If you are on Edg, just check all of them.
2x+y=8
y+3z=5
z+2w=1
5w+3x=9
what is x,y,z,w
Answer:
Systems of equations:
x=3
y=2
z=1
w=0
please narrate every step you make and make a 2 column proof!
thank you!!
Hang on ,it is already proven through given .
So The proof is of one line only
ray FEH bisects <DFG (Given)Hence proved .
I need hard and easy math questions with the answer, i need 10 questions
thnx
Answer:
https://www.khanacademy.org/
Step-by-step explanation:
I am not entirely sure what you mean however if you sign up for this website and go to whichever grade level you need you can practice all you want
(c) The result of a number, when increased by 40%, is 2.1. Find the number. ( c ) The result of a number , when increased by 40 % , is 2.1 . Find the number .
Answer:
1.5 is the number.
Explanation:
Let the number be 'n', this is 100% - original number.
When increased by 40%, 100% + 40% = 140%.
140% × n = 2.1
1.4n = 2.1
n = 2.1/1.4
n = 1.5
Hence, the original number is 1.5.
Please answer!!
-3 + 4/7 - 1/5
Step-by-step explanation:
please mark me as brainlest
Answer:
-92/35
Step-by-step explanation:
-3 + 4/7 - 1/5 =
-21/7 + 4/7 - 1/5 =
-(21*5) / (7*5) + (4*5)/(7*5) - (1*7)/(5*7) =
-105/35 + 20/35 - 7/35 =
-105+20-7 / 35 = -92/35
What is the measure of the unknown angle?
straight angle divided into a one hundred thirty two degree angle and an unknown angle
48°
49°
51°
53°
one angle of a triangle measures 80° more than the smallest, while a third angle is twice the smallest. whats the measure of each angle?
Answer: The measure of each angle is 105°, 50°, and 25°.
Step-by-step explanation: The first step in solving this is writing down what you know.
In the phrase it tells you that "one angle of a triangle measures 80 more than the smallest", so we can say that one angle = 80 + smallest angle.
This can be simplified more to x = 80 + y
x = One Angle
y = Smallest Angle
Then if we continue with the phrase it says "a third angle is twice the smallest", so we can say that a third angle = 2(Smallest Angle).
This can be simplified more to z = 2(y)
z = Third Angle
We also know that a triangles angles add up to 180°, so we know x + y + z = 180.
So, with these equations we can now solve for x, y, and z.
The easiest way would be to simply just plug in x and z straight into the 180 equation as follows.
x = 80 + y
z = 2(y)
180 = x + y + z
180 = (80 + y) + y + (2y)
180 = 80 + 4y
100 = 4y
y = 25
Then we can use y to solve for the other two equations.
z = 2(25) x = 80 + 25
z = 50 x = 105
After completing that you are left with the three angles of the triangle, 25, 50, and 105.
Understand equivalent ratios in the real world
Ani thinks the perfect milkshake has 5 scoops of ice cream for every 3 spoonfuls of caramel. Freeze Zone makes
"batches of milkshakes with 10 scoops of ice cream and 7 spoonfuls of caramel.
What will Ani think about the amount of caramel in Freeze Zone's milkshakes?
Choose 1 answer:
Freeze Zone's milkshakes have too much caramel.
Freeze Zone's milkshakes have too little caramel.
Freeze Zone's milkshakes are just right.
Answer:
They have too much caramel
Step-by-step explanation:
The ratio to the perfect milkshake would be 5:3 (5 ice-cream, 3 caramel)
The ratio for freeze zones milkshakes are 10:7 (10 ice-cream, 7 caramel)
As you can see the amount of has ice-cream has doubled (5x2=10)
but the amount of caramel has increased more than double (double would be 3x2=6 but its not it is 7)
Therfore there is too much caramel for the 'perfect milkshake'
Hope this helps :)
Answer:
It is she will think there is too much caramel
Step-by-step explanation:
This is because the ratio of 5:10 is 1:2, so you will have to multiply 3 by 2, which is 6, which is smaller than 7.
Use the formula to solve the equation x^2 + 9x + 8 = 0.
Answer:
[tex]x=-8, -1[/tex]
Step-by-step explanation:
Given the equation [tex]x^{2} +9x+8=0\\[/tex],
By the quadratic formula,
[tex]x=\frac{-b+-\sqrt{b^{2}-4ac } }{2a}[/tex],
[tex]x=\frac{-(9)+-\sqrt{(9)^{2}-4(1)(8) } }{2(1)}=\frac{-9+-\sqrt{49 } }{2}=\frac{-9+-7 }{2}[/tex]
We have two different solutions for x where [tex]x=\frac{-9-7 }{2}[/tex] and [tex]x=\frac{-9+7 }{2}[/tex]
So, x = [tex]-16/2=-8[/tex] and [tex]x=-2/2=-1[/tex]
Therefore, the solutions to this quadratic equation is x = -8, -1, by the quadratic formula.
The equation of a line is y = 1.5x − 2. What are its slope and y-intercept?
You need to use y=mx+c to answer this so basically
gradient/slope (m) is 1.5 and the y-intercept (c) is -2
Hope this helps :)
[tex]\triangleright[/tex]Hii! [tex]\triangleleft[/tex]
-- - -- - -- - -- - -- - - - -- - -- - -- - -- - -- - -- - -- -- -- - -- -- - -- -- -- -- --- -- -- --- - -- -- --
[tex]\triangleright[/tex] [tex]\stackrel\circ{\rightsquigarrow\circ\boldsymbol{\underbrace{Answer}}}\circ\leftharpoonup[/tex] [tex]\triangleleft[/tex]
Slope = 1.5 ✅Y intercept = -2 ✅[tex]\stackrel\circ{\rightsquigarrow\circ\boldsymbol{\underbrace{Explanation}}}\circ\leftharpoonup[/tex]
[tex]\bullet[/tex] Let's start by examining the equation we are working with more closely
-- ↩
This particular equation is provided to us in "slope intercept form".
--
The slope intercept formula is "[tex]\boldsymbol{y=mx+c}[/tex]"
--
In this formula the letter "m" denotes the slope; the letter "c" denotes the y intercept.
(Remember, variables (letters) represent numbers! ^__^)
--
[tex]\bullet[/tex] Above is all the information we need to come up with a solution to the given problem! ^^
--
Now it's time we considered this.
"What is the slope & y intercept of the equation y=1.5x-2?"
--
If in the formula y=mx+c, the slope is m, then what is the slope in the equation y=1.5x-2?
The slope is [tex]\large\boxed{\mid \boldsymbol{1.5} \mid}}[/tex].
The y intercept is [tex]\large\boxed{\mid \boldsymbol{-2} \mid}}[/tex]
[tex]\Large\text{Great job!! c:}[/tex]
--
Hope that this helped! Best wishes!
[tex]\textsl{Reach far. Aim high. Dream big.}[/tex]
--
[tex]\underline{\underline{\underline{\overbrace{\boldsymbol{Learn\;More!!}}}}}[/tex]
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Calculate the sum of each expression. Arrange the expressions in the order of their value from largest to smallest.
92 + ( -5 )
2+2
Answer:
6
Step-by-step explanation:
Answer:
92 + ( -5 ) , 2+2
Step-by-step explanation:
1) 92 + ( -5 )
= 92 - 5
= 87
2) 2 + 2 = 4
The pie chart below shows how the annual budget for a certain companies divided by department is a total budget is 15,000,000 what amount is budgeted for sales research and engineering combined
If the amount of budget for media and sales combined is $25,000,000. Then the total annual budget will be $125,000,000.
The complete question is attached below.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred.
The pie chart below shows how the annual budget for a certain company divided by department.
If the amount of budget for media and sales combined is $25,000,000.
Then the total annual budget will be
Let x be the total annual budget.
17% + 3% = 25,000,000 / x
20% = 25000000 / x
0.20 = 25000000 / x
x = $125,000,000
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In the figure below not drawn to scale. DC is a tangent to the circle. DC = 6cm, AB = 5cm. Calculate BC. (3mks)
Answer:
4
Step-by-step explanation:
DA²= CB×CA
6²= y×(y+5)
36=y²+5y
y²+5y-36=0
x1+x2=-5
x1×x2=36
x1=4
x2=-9
x must be positive, then answer is 4
chek: 4×9=36