f(x) = -2x
-2x = 0
x = 0/-2
x = 0
Now putting 0 as x in g(x)
g(x) = 8x^2 - 5x + 7
g(0) = 8(0)^2-5(0)+7
= 0 - 0 + 7
= 7
Answered by Gauthmath must click thanks and mark brainliest
Write an algebraic expression for the word phrase: the quotient of r and 12. Or. 12 O p=12 Or- 12 h Ort 12
Answer:
r÷12
Step-by-step explanation:
quotient means division
r÷12
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Values that are much higher or much lower than others in a data set are _______________.
A. outsiders
B. outfielders
C. errors
D. outliers
Answer:
outliers
explanation:
Answer:
the right answer is
no d (outliers)
What is the y intercept of the given graph?
Answer:
The answer would be -2.
Step-by-step explanation:You have to look at where the line is hitting.It has to be perfectly on the corners of the square. The bottom of the y-intercept is always negative and the top is always positive but for the x-intercept the right side is positive and the left side is negative. I hope that helped you!!
Focus on math practices
Reasoning How are "T minus 4" and "T plus 4" related?
In rocket use
Answer:
Both T+4 and T-4 are the same distance away from 4
T would be the launch time of the rocket...
T - 4 is 4 units of time (seconds) prior to launch...
T+ 4 is 4 units of time (seconds) after the launch
Step-by-step explanation:
please help me in this questions....
Part (i)
I'm going to use the notation T(n) instead of [tex]T_n[/tex]
To find the first term, we plug in n = 1
T(n) = 2 - 3n
T(1) = 2 - 3(1)
T(1) = -1
The first term is -1
Repeat for n = 2 to find the second term
T(n) = 2 - 3n
T(2) = 2 - 3(2)
T(2) = -4
The second term is -4
Answers: -1, -4==============================================
Part (ii)
Plug in T(n) = -61 and solve for n
T(n) = 2 - 3n
-61 = 2 - 3n
-61-2 = -3n
-63 = -3n
-3n = -63
n = -63/(-3)
n = 21
Note that plugging in n = 21 leads to T(21) = -61, similar to how we computed the items back in part (i).
Answer: 21st term===============================================
Part (iii)
We're given that T(n) = 2 - 3n
Let's compute T(2n). We do so by replacing every copy of n with 2n like so
T(n) = 2 - 3n
T(2n) = 2 - 3(2n)
T(2n) = 2 - 6n
Now subtract T(2n) from T(n)
T(n) - T(2n) = (2-3n) - (2-6n)
T(n) - T(2n) = 2-3n - 2+6n
T(n) - T(2n) = 3n
Then set this equal to 24 and solve for n
T(n) - T(2n) = 24
3n = 24
n = 24/3
n = 8
This means 2n = 2*8 = 16. So subtracting T(8) - T(16) will get us 24.
Answer: 8Quadrilateral ABCD has vertices at A(0,0), B(0,2), C(6,2), and D(6,0). Find the vertices of the quadrilateral after a dilation with scale factor 3/2.
Answer:
A=0
B=0,3
C=9,3
D=9,0
Step-by-step explanation:
Multiplies all the vertices bay scale factor 3/2
3 x 5(0 + 2) - 4
O Α. Ο
ling
B.
11
O C. 26
O D. 33
Answer:
26 is the answer
Step-by-step explanation:
hope this helps you
How do you find the radius??
Step-by-step explanation:
According to the fundamentals of Mathematics, as well as corresponding mathematical principles, encompassing trigonometry, are acknowledged to provide the intergenerational definitions for subsequent generations.
Thus far, the radius is equated to half the diameter.
Solve: 9y+1 = 32y+1 + 54
Answer:
9y+1=32y+1+54
collect like terms, a symbol changes once it crosses the equal to sign =
9y-32y=1+54-1
-23y=54
divide both sides by -23
-23y/-23=54/-23
-23 will cancel -23 to give y
y=54/-23
y=-2.4 or 2 whole number 8/23
Answer: y is -54/23
Step-by-step explanation:
Which of the following is a solution of this equation?
A.
(5,0)
B.
(-1, 1)
C.
(3,-1)
D.
(-2,-3)
Answer:
D. (-2,-3)
Step-by-step explanation:
substitute the point values of [tex]x[/tex] and [tex]y[/tex] into the equation [tex]y=\frac{1}{2}x-2[/tex]
A. [tex]0=\frac{1}{2}(5)-2[/tex]
[tex]0=2.5-2[/tex]
[tex]0[/tex] ≠ [tex]0.5[/tex]
B. [tex]1=\frac{1}{2}(-1)-2[/tex]
[tex]1=-.5-2[/tex]
[tex]1[/tex] ≠ [tex]-2.5[/tex]
C. [tex]-1=\frac{1}{2}(3)-2[/tex]
[tex]-1=1.5-2[/tex]
[tex]-1[/tex] ≠ [tex]-0.5[/tex]
D. [tex]-3=\frac{1}{2}(-2)-2[/tex]
[tex]-3=-1-2[/tex]
[tex]-3=-3[/tex]
Christopher walks 5km south then walks on a bearing of 036º until he is due east of his starting point. How far is he from his starting point, to 1 decimal place?
Christopher's distance from his starting point is 3.6 km
Since Christopher initially walks South 5 km and then walks on a bearing of of 036º until he is due east of his starting point.
His distance South, his distance from his starting point and his distance from his 036º bearing, all form a right-angled triangle.
This right-angled triangle with opposite side to the angle 036º, as his distance from his starting point, x and the adjacent side to the angle 036º, as his distance 5 km south.
Since we have both the opposite and adjacent sides of a right-angled triangle,
From trigonometric ratios,
tanФ = opposite/adjacent
tanФ = x/5 km
Now Ф = 036º
So, tan36º = x/5km
x = 5 km(tan36º)
x = 5 km (0.7265)
x = 3.633 km
x ≅ 3.6 km to 1 decimal place.
So, Christopher's distance from his starting point is 3.6 km.
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Given the following coordinates the glide reflection transformation
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ) , then
A (4, 2 ) → A' (4, - 2 )
B (7, 0 ) → B' (7, 0 )
C (9, 3 ) → C' (9, - 3 )
A translation of a shift to the left of 3 units is a horizontal shift.
This means subtracting 3 fro the x- coordinate and leaving the y- coordinate
A' (4, - 2 ) → A'' (4 - 3, - 2 ) → A'' (1, - 2 )
B' (7, 0 ) → B'' (7 - 3, 0 ) → B'' (4, 0 )
C' (9, - 3 ) → C'' (9 - 3, - 3 ) → C'' (6, - 3 )
An equation parallel to y = – 3x + 2 through (2,3)
Answer:
y = -3x+9
Step-by-step explanation:
Parallel lines have the same slope
y = -3x+2
This is in slope intercept form where y =mx+b where m is the slope
The slope is -3
y = -3x+b
Using the point (2,3)
3 = -3(2)+b
3 = -6+b
Add 6 to each side
3+6 = b
9=b
y = -3x+9
Answer:
slope (m) = -3
3= -3(2)+b
b = 9
y=mx+b → y= -3x+9
OAmalOHopeO
If a wheel has a radius of 5cm
1. how much is one rotation of the wheel
2. How many rotations can the wheel do within a distance of 50km
We can simplify the wheel, thinking of it as a simple circle, then using general knowledge about circles, we can solve this.
1) Remember that one rotation of the wheel will be equal to the perimeter of the wheel, and for a circle of radius R, the perimeter is:
[tex]P = 2*3.14*R[/tex]
We know that our wheel has a radius of 5cm, then R = 5cm, we will get:
[tex]P = 2*3.14*5cm =31.4 cm[/tex]
Then one full rotation of the wheel is equal to
2) Not that we know the distance that the wheel does in one single rotation, the total number of rotations needed to do a distance of 50km is equal to the quotient between 50km and the distance that the wheel moves in one rotation.
But first we need to have both values in the same unit system.
Knowin that:
1km = 1000m
1km = 100*1000cm = 100,000 cm
Then 50km = 50*(100,000 cm) = 5,000,000 cm
Now we can solve the quotient:
[tex]\frac{5,000,000cm}{31.4cm} = 159,235.7[/tex]
This means that the wheel needs to do 159,235.7 rotations to move a distance of 50km.
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PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Age of Yusuf is 24 years more than half the age of Ajay. 5 years before sum of their ages was 41. Find their present ages.
Answer:
Yusuf is 33 and Ajay is 18
Step-by-step explanation:
Let Y and A stand for the ages of Yusuf and Ajay, respectively.
We are told that:
(1/2)A + 24 = Y [Age of Yusuf is 24 years more than half the age of Ajay]
(A-5)+(Y-5) = 41 [5 years before sum of their ages was 41]
Take the definition of Y in the first equation and use it in the second:
Y = (1/2)A+24 from the first equation
(A-5)+(Y-5) = 41 The second equation
(A-5)+(((1/2)A + 24)-5) = 41 Replace Y with (1/2)A+24
(A-5)+(1/2)A + 24-5 = 41
A-5+(1/2)A + 24-5 = 41
(3/2)A + 14 = 41
(3/2)A = 27
A = (2/3)(27)
A = 18
Ajay is 18 years old
Yusuf is Y=(1/2)(18)+24
Yusuf is 33 years old
====
Check: Is Yusuf 24 years more than half the age of Ajay?
Ajay = 18, so (1/2)18 = 9. Add 24 years to get 33. Yes, this works since Yusuf is 33 years old
Was the sum of their ages = 41 five years ago?
Ajay would have been 13 and Yusuf would have been 28 28+13 = 41 YES
Given f (x) = -x + 2, find f(0).
Answer:
f(0) =2
Step-by-step explanation:
f (x) = -x + 2
Let x = 0
f(0) = -0+2
f(0) = 2
Answer:
f(0) = 2
Step-by-step explanation:
Substitute x = 0 into f(x)
f(0) = - 0 + 2 = 0 + 2 = 2
The length of a rectangle is 10 feet longer than it is wide. If each side is increased 10 feet, then the area is multiplied by 2. What was the size of the original rectangle?
Answer:
Size of the original rectangle is 30*20=600
Step-by-step explanation:
Let the length and width of rectangle be x+10 and x. After increasing the dimensions, the new length and width are x+20 and x+10
ATQ, (x+20)(x+10)=2(x+10)(x), x=20.
adhiambo buys t litres of milk everyday.A litre of milk is she 25.She spends sh 3000 on milk on November.How many litres does she buy every day?
A plumbers plastic pipe is 4 m long, has an inside diameter of 4.0 cm and an outside diameter of 5.0cm. What is the volume of the plastic in the pipe?
Answer: [tex]V=0.0028278\ m^3[/tex]
Step-by-step explanation:
Given
Length of the pipe [tex]l=4\ m[/tex]
Inside diameter of the pipe [tex]d_i=4\ cm[/tex]
Outside diameter of the pipe [tex]d_o=5\ cm[/tex]
Volume of the pipe
[tex]\Rightarrow V=\dfrac{\pi }{4}[d_o^2-d_i^2]\\\\\text{Insert the values}\\\\\Rightarrow V=\dfrac{\pi}{4}[5^2-4^2]\times 10^{-4}\times 4\\\\\Rightarrow V=28.278\times 10^{-4}\ m^3\\\\\Rightarrow V=0.0028278\ m^3[/tex]
please! help me i need it rn
Answer:
It is the last option.
Jordan needs 1 1/2 cups of diced chicken for 3 salads.
To make this easy for you.
1. start on the x axis which is number of salads.
2. Go to the number 3 (of the x axis which is the number of salads)
3. Find your way up to the point marked.
4. see what is your number in the y-axis (in this case it is 1 1/2.
Step-by-step explanation:
I hope it helps!
12. solve for a.
help please
Answer:
okay so given :-
R = x(A+B)
now open bracket =>
R = Ax + Bx
shifting Bx
R - Bx = Ax
so now shift x to lhs and finally we get
A = (R - Bx)/x option d is correct
please brainliest <3
Round to the nearest penny.
$11,579.9998
Answer:
Step-by-step explanation:
So basically, we would need to divide to the nearest 0.01 or hundredths place. All you would need to do is round from each place which would soon get you to 11,580.00. Simple right!!
I hope this helps!! Have a good rest of your day! :)
complete the table
x - 2 7 10
y - 30 36
Answer:
x-15
y 42
Step-by-step explanation:
| the British 50-pence coin shown on the right is in the shape of a
regular heptagon. Determine the measure of one interior angle.
Show your work.
For a regular polygon with n sides, interior angle
= [(n-2) × 180°]/n
So, interior angle of this regular heptagon shape
= [(7 - 2) × 180°]/7
= (5 × 180°)/7
= 900°/7
= (900/7)°
= 128.571° [approximately]
Answer:
hello,
Step-by-step explanation:
center angle : 360°/7 °
half interior angle=0.5*(180-360/7)=900/14=450/7 = 64 ° +2/7° ≈64.3 °
interior angle= 128°+4/7°≈128.6 °
Show that (x+1)(x+3)(x+5) can be written in the form ax3+bx2+cx+d where a b c and d are all positive intergers
Answer:
Step-by-step explanation:
(x+1)(x+3)(x+5), multiply first two parenthesis
(x² +3x +x +3)(x+5), combine like terms
(x² +4x +3) (x+5), multiply the parenthesis
(x³ +5x² +4x² +20x +3x +15), combine like terms
x³ +9x² +23x +15 is in the form ax³ +bx² +cx +d
a=1, b=9, c=23, d=15 are all positive integers
7x-3/4=x what is the process to answer fasttttttt please
Answer:
x= 1/8 is the correct answer
Answer:
1/8
Step-by-step explanation:
7x-x=3/4
6x=3/4
6x/6=3/4÷6
x=1/8
Which situations can be presented by an exponential function?
Select EACH correct answer
A.In a structure made of soup cans, each row has 6 more cans that the previous row
B.a doctor’s office accepts 20 new patients each month
C.The value of a motorcycle decrease by 12% each year
D.Every year, the number of online subscribers to a service is 4 times what it was the previous year
Answer:
C.The value of a motorcycle decrease by 12% each year
D.Every year, the number of online subscribers to a service is 4 times what it was the previous year
Step-by-step explanation:
A function is said to be exponential if it changes (increases or decreases) by a fixed percentage or proportion over a certain period of time.
From the options given, only options C and D is defined as changing based on a certain percentage. And option D cgbages by a clfixed proportion from the initial value.
The option that represents the exponential function are situation C) and D) and this can be determined by making the mathematical expression of each situation.
Try to make a mathematical expression of the situation given below in order to check which option shows an exponential function.
A) According to the given data, in the first row there are 6 cans, in the second row there are 12 cans, in the third row there are 18 cans, and so on. Now, let 'a' be the total number of rows then, the mathematical expression of this situation is given by:
= 6a
This situation is not representing the exponential function.
B) According to the given data, in the first month there are 20 patients, in the second month there are 40 patients, and so on. Let the total number of months be 'b' then the mathematical expression is given by:
= 20b
This situation is not representing the exponential function.
C) According to the given data, in the first year the value of the motorcycle decrease 12%, in the second month the value decreased by 24% of the initial value, and so on. So, the price of motorcycle decreases exponentially. Therefore, this option is correct.
D) According to the given data, every year, the number of online subscribers to service is 4 times what it was the previous year. The mathematical expression of this situation is:
= [tex]4^x[/tex]
where 'x' is the number of years. Therefore, this option is correct.
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The triangle in Quadrant IV is the image of the triangle in Quadrant II after a counterclockwise rotation about the origin. What is the angle of rotation?
A.) 90
B.) 180
C.) 270
D.) 360
Answer:
A. 90 degrees
Step-by-step explanation:
Look this picture :]
Jason owns a food truck that sells tacos and burritos. He sells each taco for $4.75 and each burrito for $7.50. Yesterday Jason made a total of $790 in revenue from all burrito and taco sales and there were twice as many burritos sold as there were tacos sold. Write a system of equations that could be used to determine the number of tacos sold and the number of burritos sold. Define the variables that you use to write the system.
:)
Answer:
4.75t + 7.50b = 790
b = 2t
Step-by-step explanation:
Let t represent the number of tacos that he sold, and let b represent the number of burritos he sold.
4.75t can represent how much money he earned from selling tacos, and 7.50b can represent how much money he earned from selling burritos.
Create an equation that adds these together and sets them equal to 790:
4.75t + 7.50b = 790
Next, create another equation that represents how there were twice as many burritos sold than tacos.
This can be represented by b = 2t.
The system of equations is:
4.75t + 7.50b = 790
b = 2t