Answer:
A
Step-by-step explanation:
A and B are the only answer choices that give you imaginary number outputs
But because the function in the answer choices is a negation of the original function they give different outputs, thus a different range
Therefore A is the correct answer
BRAINLIEST PLEASEEEEEEEE
Answer:
it is the first answer... has the same domain as the function
Step-by-step explanation:
Square ABCD has vertices at A(−1,3), B(0,7), C(4,6), and D(3,2).
What is the area of the square when rounded to the nearest whole number?
Answer:
16
Step-by-step explanation:
Its a square, so AB=CD, AC=BD and
f(x) = 2x^2 Find f (-6)
Answer:
[tex]72[/tex]
Step-by-step explanation:
[tex]f(x)=2x^2[/tex]
replace x with -6
[tex]f(-6)=2(-6)^2[/tex]
exponent
[tex]f(-6)=2(36)[/tex]
multiply
[tex]f(-6)=72[/tex]
Find the perimeter of quadrilateral ABCD with vertices A(0, 4), B(4, 1), C(1, -3), and D(-3, 0).
Given:
The vertices of a quadrilateral ABCD are A(0, 4), B(4, 1), C(1, -3), and D(-3, 0).
To find:
The perimeter of quadrilateral ABCD.
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the distance formula, we get
[tex]AB=\sqrt{(4-0)^2+(1-4)^2}[/tex]
[tex]AB=\sqrt{(4)^2+(-3)^2}[/tex]
[tex]AB=\sqrt{16+9}[/tex]
[tex]AB=\sqrt{25}[/tex]
[tex]AB=5[/tex]
Similarly,
[tex]BC=\sqrt{(1-4)^2+(-3-1)^2}[/tex]
[tex]BC=5[/tex]
[tex]CD=\sqrt{(-3-1)^2+(0-(-3))^2}[/tex]
[tex]CD=5[/tex]
And,
[tex]AD=\sqrt{(-3-0)^2+(0-4)^2}[/tex]
[tex]AD=5[/tex]
Now, the perimeter of the quadrilateral ABCD is:
[tex]P=AB+BC+CD+AD[/tex]
[tex]P=5+5+5+5[/tex]
[tex]P=20[/tex]
Therefore, the perimeter of the quadrilateral ABCD is 20 units.
if f(r)= 3.14 r^2 what is f(3)
Answer:
f(3) = 28.26
Step-by-step explanation:
Substitute r = 3 into f(r) , that is
f(3) = 3.14 × 3² = 3.14 × 9 = 28.26
Find the least number which should be added to 6790 to make it a perfect square
Answer:
add 99 to 6790
Step-by-step explanation:
6790 +99 = 6889 which is 83 squared
f () = 6x + 4. Find the inverse of f(x).
Answer:
F-1 (x)=1/6x-2/3
Step-by-step explanation:
Use substitution, Interchange the variables, Swap the sides, movthe constant to the right, Divide both sides, Use substitution, and youll find your solution. By the way the -1 is in scientific notation!
Please help me with this.
I need a maths genius
See pic below.
Thanks
Answer:
a =15
b=70
c=400
d=1500
e=5300
Step-by-step explanation:
it will help u
18. (a)
A football club sells tickets at different prices dependent on age group.
The table shows the football ticket prices for the different age groups.
Price Age:
Under 18 = $15
18 to 60 = $35
Over 60 = $18
At a particular game there were 42 600 tickets sold.
14% were sold to people aged under 18
2/3 of the tickets were sold to people aged 18 to 60
The remainder were sold to people aged over 60
Answer:
5,964 people are under 18 , 400 people are aged 18 to 60 , 8,236 people are over 60
Step-by-step explanation:
42 , 600 x 14/100 = 5,964 people are under 18
42,600 x 2/3 = 28 , 400 people are aged 18 to 60
The remaining over 60 = 42 , 600 - (5,964 + 28400)
42,600 - 34,364 = 8,236 people are over 60
You have a giant bag of M&Ms and are wondering how many there are. You notice that there don’t seem to be nearly as many
orange M&Ms, so that feels doable to count. When you count the number of orange M&Ms in the giant bag you find that there are
48. If you then take a random sample and find that out of the 50 M&Ms you select, 3 of them are orange, how many M&Ms would
you estimate are in the giant bag?
Answer:
800 M &Ms
Step-by-step explanation:
First, we can operate on the estimate that the proportion of M&Ms of the sample is equal to the proportion of M&Ms in the giant bag.
Therefore,
number of orange M&Ms in sample / sample size = number of orange M&Ms in bag / bag size
3/50 = 48 / bag size
multiply both sides by 50 to remove a denominator
3 = 48 * 50 / bag size
multiply both sides by bag size to remove the other denominator
3 * bag size = 48 * 50
divide both sides by 3 to isolate bag size
bag size = 48 * 50 / 3
bag size = 800 M &Ms
Find the area of the triangle with vertices A(-3,2), B(1,-2), and c(1,3)
Answer:
10cm2
Step-by-step explanation:
A=1÷2×4×5=10cm2
Use slope to determine if lines AB and CD are parallel, perpendicular, or neither. A(0,2), B(5,4), C(1,8), and D(3,3). What is the slope of line CD? Enter as a ratio in its lowest terms.
Answer:
Perpendicular, CD has a slope of -5/2
Step-by-step explanation:
Parallel lines have the same slope, perpendicular have slopes that are negative reciprocals, or in other words if one slope is m then the other's slope is -1/m and if it is neither fo those then it is neither parallel or perpendicular. Also, if two lines have the same slope you have to make sure they are not the same line.
Now, to find the slope when you have two points you use the formula (y2 - y1)/(x2 - x1), where the points are (x1, y1) and (x2, y2). You can make either point point 1 or point 2. Just make sure x1 and y1 are from one point and x2 and y2 are from the other point.
So the two lines are AB and CD. Since the question asks I will start with CD. The points are (1,8) and (3,3) So I will call C point 1 and D point 2.
(y2 - y1)/(x2 - x1)
(3 - 8)/(3 - 1)
-5/2
Thankfully this is lowest terms.
Now for AB. A will be point 1 and B will be point 2
(y2 - y1)/(x2 - x1)
(4-2)/(5-0)
2/5
So they are not the same, so what if you take negative 1 over one of the slopes.
well. -1/(2/5) = -5/2
So these are perpendicular.
If you would like an explanation for how to find the full equation of a line I can explain that.
the cost of a popular toy is $19.99 , Due to a limited supply , the store manager marks the price of the toy up by 15%. what is the new price ? HURRY PLEASE .
$22.99
Step-by-step explanation:
19.99 increased by 15% ≈ 22.99
Absolute change (actual difference):
22.99 - 19.99 ≈ 3
The difference is $3
What is the length of the dotted line in the diagram below? Leave your answer in simplest radical form. HELP PLEASE
Answer:
11.7…?
Step-by-step explanation:
Small triangle and other triangle are similar based on sas theorem (I think) so find scale factor — 2— then do Pythagorean theorem
For the inverse variation equation P= 8/v , what is the value of V when p = 4?
1/8
1/2
2
32
Answer:
V = 2
Step-by-step explanation:
P = 8/v
4 = 8/v
8/4 = 2
v = 2
Answer:
v=2
Step-by-step explanation:
p=8/v
When p = 4, 4=8/v
We multiply both sides by v, we get:
4v=8
Now we divide both sides by 4,
v=2
The table below shows how much Joe earns, y, after working x hours.
Joe’s Earnings
Hours worked
Money earned
4
$30
10
$75
12
$90
22
$165
The relationship between money earned and hours worked is linear. Joe computes the slope between (4, 30) and (12, 90), then computes the slope between (4, 30) and (10, 75). How do the two slopes compare?
The slope between (4, 30) and (12, 90) is greater because the ordered pairs are farther apart on the x-axis.
The slope between (4, 30) and (12, 90) is greater because the ordered pairs are farther apart on the y-axis.
The slope between (4, 30) and (12, 90) and between (4, 30) and (10, 75) is the same.
The slope between (4, 30) and (12, 90) is less because 4 is a factor of 12 and 30 is a factor of 90.
Answer: Given : Joe’s Earnings and hour worked
The relationship between money earned and hours worked is linear.
Joe computes the slope between (4, 30) and (12, 90), then computes the slope between (4, 30) and (10, 75).
To Find : How do the two slopes compare?
Solution:
Hours worked Money earned
4 $30
10 $75
12 $90
22 $165
slope between (4, 30) and (12, 90),
= (90 - 30)/(12 - 4)
= 60/8
= 15/2
slope between (4, 30) and (10, 75)
= (75 - 30)/(10-4)
= 45/6
= 15/2
The slope between (4, 30) and (12, 90) and between (4, 30) and (10, 75) is the same.
Both Slopes are same.
i hope this helped and have a nice day/night
The slope between (4, 30) and (12, 90) and between (4, 30) and (10, 75) is the same. The correct answer is the third option.
The slope between two points (x₁,y₁) and (x₂, y₂) on a straight line is given by (y₂ - y₁)/(x₂ -x₁ ).
Let's calculate the slopes:
The slope between (4, 30) and (12, 90):
Slope = (90 - 30) / (12 - 4)
= 60 / 8
= 7.5
The slope between (4, 30) and (10, 75):
Slope = (75 - 30) / (10 - 4)
= 45 / 6
= 7.5
As we can see, the slopes between the two sets of ordered pairs are the same.
Thus, the slope between (4, 30) and (12, 90) and between (4, 30) and (10, 75) is the same.
Hence, the correct answer is the third option.
Learn more about the slope of the line here:
brainly.com/question/14511992
#SPJ7
A caterer is agrranging 72 ham sandwiche and 48 pimento cheese sandwiches on serving trays. He would like to arrange the sandwiches so tht each tray has the same number of each kind of sandwich. The number of ham sandwiches on a tray does not need to equal the number of pimento cheese sandwiches on the tray. What is the maximum number of traysthe caterer can use? .
Answer:
24
Step-by-step explanation:
The greatest number of trays the caterer can split the 72 ham sandwiches and 48 pimento cheese sandwiches into can be determined by calculating the highest common factor and 48 and 72
Factors of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.
Factors of 72= 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72.
the highest common factor is 48 ad 72 is 24
Dilate ΔABC by a factor of 2 (with the origin as the center of dilation) to form ΔA′B′C′. Measure the side lengths of the dilated triangle. Confirm that the ratio of corresponding side lengths of ΔABC and ΔA′B′C′ is equal to the scale factor of the dilation.
Answer:
Step-by-step explanation:
This is from PLATO
Plot point C in GeoGebra to verify that it indeed lies on AB. You can enter the coordinates in the Input window to plot the point . Also , verify the distances you calculated in question 3 using GeoGebra . Take a screenshot showing the distances displayed by GeoGebra , and paste it below .
Answer:
The picture of file
Step-by-step explanation:
Your'e welcome
The principal represents an amount of money deposited in a savings account subject to compound interest at the given rate.
Principal: $5500
Rate: 3.5%
Compounded: Monthly
Time: 3 years
A. Find how much money there will be in the account after the given number of years.
B. Find the interest earned.
Please help me with this one I seriously suck at math
Answer:
194
Step-by-step explanation:
Rectangles :
7 x 10 = 70
6 x 10 = 60
4 x 10 = 40
Triangles
[tex]\frac{6x4}{2}[/tex] = 12 (two of them = 24)
70 + 60 + 40 + 24 = 194
factorize the following numbers by Factor tree method
20
Answer:
tara specimen!
Step-by-step explanation:
1+2=3 ok
Mr. Chong deposits RM5 000 into a fixed deposit account with 4% interest rate compounded every 3 months for a period of 3 years. Calculate the amount of interest accrued after the third year。
fast please tq
Answer:
The interest is 634.13.
Step-by-step explanation:
Amount deposit , P = 5000
Interest, R = 4 % so, R = 4/4 = 1 %
Time, T = 3 years quarterly
n = 3 x 4 = 12
Let the amount is A.
Use the formula of the compound interest
[tex]A = P \left ( 1 + \frac{R}{100} \right )^n\\\\A = 5000 \left ( 1 + \frac{1}{100} \right )^{12}\\\\A = 5634.13[/tex]
So, the interest is
I = A - P = 5634.13 - 5000 = 634.13
What is the volume of the cone to the nearest whole number?
Answer:
the volume of the cone is 60
Step-by-step explanation:
12×5=60
The two figures shown are congruent. Which statement is true?
A). One figure is a translation image of the other.
B). One figure is a rotation image of the other.
C). Neither figure is a translation or rotation image of the other
Answer:
C
Step-by-step explanation:
They are the same without rotation and translation
A boat travels to an island and back in 78 minutes. If the speed of the boat going to the island is 14 mph, and its speed returning is 12 mph, how far away is the island
Answer:
8.4 miles
Step-by-step explanation:
Given that :
Total time taken = 78 minutes = 78/60 = 1.3 hours
To Speed = 14 mph
Fro Speed = 12 mph
Let the distance be represented as, d
Distance = speed * time
Time = distance / speed
To time + Fro time = 1.3 hours
d / 14 + d / 12 = 1.3 hours
Take lcm of 14 and 12 ; = 84
(6d + 7d) / 84 = 1.3
13d /84 = 1.3
13d = 1.3 * 84
13d = 109.2
d = 109.2 / 13
d = 8.4 miles
The distance is 8.4 miles
find the measure of the complementary angles that satisfy each case. the measure of the first angle is 30 greater than the measure of the second angle
Answer:
First angle: 60°
Second angle: 30°
Step-by-step explanation:
Let the two angles be signified by the variables x & y.
Let the first angle = x, and the second angle = y.
It is given that:
"The measure[ments] of the complementary angles...": x + y = 90°
"The measure of the first angle is 30 greater than the measure of the second angle": x = y + 30°
Use the system of equations. Plug in y + 30 for x in the first equation:
(y + 30) + y = 90
Combine like terms:
(y + y) + 30 = 90
2y + 30 = 90
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, subtract 30 from both sides of the equation:
2y + 30 (-30) = 90 (-30)
2y = 90 - 30
2y = 60
Next, divide 2 from both sides of the equation:
(2y)/2 = (60)/2
y = 60/2
y = 30°
Plug in 30 for y in one of the equations:
x = y + 30
x = (30) + 30
x = 60°
Your answers:
First angle: 60°
Second angle: 30°
Match the measures of each angle
i need help with this problem can someone help me!!!!
Answer:
x = 3 in
Step-by-step explanation:
From the Pythagorean theorem,
x² = 4²-7²
√(4²-√7²)
= √(16-7)
= √9
= 3 in
Answered by GAUTHMATH
seventy of myra’s classmates are traveling by the bus to a football game in another town. they hired 2 buses, but there were only 64 seats. the remaining 6 students had to travel in a separate van the equation 2b+6=70 represents the given scenario. what does b represent
Answer:
The b represents the people on each bus.
Step-by-step explanation:
Answer:
C.the number of students who rode on each bus.
Step-by-step explanation:
What is the mean absolute deviation? 6,5,7,2,4,8
Answer:
To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean: |data value – mean|
Step-by-step explanation: