Answer:
g(x) = 7(-x)³
Step-by-step explanation:
The cubic parent function is given as; f(x) = x³
Now, we are told that it reflects across the y-axis. This means that the new function will take the form;
g(x) = f(-x)
Thus, the new function is;
g(x) = (-x)³
Now,we are told that this new function stretches by multiplying by 7. Thus, we now have;
g(x) = 7(-x)³
Given a triangle with side PQ=8 cm. To get a line PQ’=3/4 of PQ, we divide the line segment PQ in the ratio
Answer:
PQ' : Q'Q = 3 : 1
Step-by-step explanation:
As Given In Question
We Have A Triangle With Side PQ=8cm
PQ' = 3/4 * PQ
PQ' = 3/4 * 8
PQ' = 6 cm
& Q'Q = PQ - PQ'
= 8 - 6 = 2cm
so the line segment PQ is divided into PQ' : Q'Q = 3 : 1
Un vendedor de frutas tiene cierto número de mangos, vende 3/5 de ellos más dos mangos; luego vende 1/3 de los restantes más dos mangos, luego vende la mitad del saldo más un mango. Finalmente vende los 24 restantes, el número de mangos inicial empieza con la cifra
Respuesta:
200 mangos
Explicación paso a paso:
Dado :
Sea el número inicial de mangos = x
Primera venta:
3 / 5x + 2
Número a la izquierda = x - (3 / 5x + 2) = 2 / 5x - 2
Segunda venta:
1/3 (2 / 5x - 2) + 2 = 2 / 15x - 2/3 + 2
Cantidad restante:
2 / 5x - 2 - (2 / 15x - 2/3 +2)
2 / 5x - 2 - 2 / 15x + 2/3 - 2
0,2666666x - 3,3333
Tercera venta:
1/2 (0,2666666x - 3,3333) + 1 = 0,133333x - 1,666665 + 1
0.2666666x - 3.3333 - (0.133333x - 1.666665 + 1) = venta final
0,2666666x - 3,3333 - (0,133333x - 1,666665 + 1) = 24
0,2666666x - 3,3333 - 0,133333x + 1,666665 - 1 = 24
0,133333x - 2,666635 = 24
0.133333x = 24 + 2.666635
0,133333x = 26,666635
x = 26,666635 / 0,133333
x = 200.00026
x = 200 mangos
Write a linear equation in two variables to represent the following statement
"the number of Red balls is half the number of the Blue ones"
Answer:
y = x/2
Step-by-step explanation:
Let y represent the number the number of red balls and let x represent the number of blue balls. Since we have that the number of Red balls is half the number of the Blue ones, and the number of red balls equals x, we divide x by 2. So, x/2.
Since x/2 is equal to the number of blue balls and y is the number of blue balls, we write y = x/2.
So, our linear equation in two variables that represents "the statement the number of Red balls is half the number of the Blue ones" is
y = x/2
which of the following number are prime numbers 1,7,36,16,2,51,25
Answer: 2 and 7
Step-by-step explanation: prime number is a number that is divisible only by itself and 1
What is the common ratio for this geometric sequence?
16, 8, 4, 2, …..
Answer:
ratio is 1/2
Step-by-step explanation:
r=8/16 =1/2
Answer:
1/2
Step-by-step explanation:
16 * 1/2 = 8
8 * 1/2 = 4
4 * 1/2 = 2
Hope this helps!
PLEASE HELP!!
Find the area of the following triangle enter the exact answer as a decimal
Answer:
75.06239187
Step-by-step explanation:
1/2bh= Area of a Triangle
6^2+b^2=8.5^2 because we are missing a side we need to use the pythagorean theorem.
36+b^2=72.25
b^2=36.25
b=6.02
6.02+19= base
25.02
Now area
1/2bh
1/2 (25.02*6)
25.02*6= 150.1247
150.1247/2= 75.06239187 is Area
The above decimals before area are rounded.
please answer quickly easy 15 points but please answer quick
Answer:
24.25 feet
Step-by-step explanation:
find the centre and radius for this circle , x^2+y^2=25
Answer:
centre = (0, 0 ), radius = 5
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ( r is the radius )
x² + y² = 25 ← is in this form
with centre = (0, 0 ) and r = [tex]\sqrt{25}[/tex] = 5
What is the solution to the system of equations
Answer:
x=4 and y=−2
Step-by-step explanation:
Let's solve your system by substitution.
3x+8y=−4;2x−4y=16
Step: Solve 3x+8y=−4 for x:
3x+8y=−4
3x+8y+−8y=−4+−8y(Add -8y to both sides)
3x=−8y−4
3x/3=−8y−4/3 (Divide both sides by 3)
x=−8/3y+−4/3
Step: Substitute −8/3y+−4/3 for x in 2x−4y=16:
2x−4y=16
2(−8/3y+−4/3)−4y=16
−28/3y+−8/3=16 (Simplify both sides of the equation)
−28/3y+−8/3+8/3=16+8/3 (Add 8/3 to both sides)
−28/3y=56/3
−28/3y/−28/3=56/3/−28/3 (Divide both sides by (-28)/3)
y=−2
Step: Substitute−2 for y in x=−8/3y+−4/3:
x=−8/3y+−4/3
x=−8/3(−2)+−4/3
x=4 (Simplify both sides of the equation)
So the Answers are: x=4 and y=−2 or u can switch it around y=−2 and x=4
Find the measure of DF
Answer:
144 = arc DF
Step-by-step explanation:
Inscribed Angle = 1/2 Intercepted Arc
72 = 1/2 arc DF
Multiply by 2
2*72 = arc DF
144 = arc DF
ANSWERRRR QUICKKKK PLEASEEEE
Answer: sqrt(2)/2 which is choice D
======================================================
Explanation
(3pi/4) radians converts to 135 degrees after multiplying by the conversion factor (180/pi).
The angle 135 degrees is in quadrant 2. We subtract the angle 135 from 180 to find the reference angle
180-135 = 45
Then you can use a 45-45-90 triangle to determine that the ratio of opposite over hypotenuse is sqrt(2)/2
sine is positive in quadrant 2
------------
Alternatively, you can use a unit circle. Refer to the diagram below. In red, I've circled the angle 3pi/4 radians. The terminal point for this angle has a y coordinate of sqrt(2)/2
Recall that y = sin(theta).
Write the equation in slope-intercept form in each line based on the information give
The line contains the points
(1,-2)and(2,4)
Answer:
y= 6x -8
Step-by-step explanation:
Slope-intercept form:
y= mx +c, where m is the gradient and c is the y-intercept.
[tex]\boxed{gradient = \frac{y1 - y2}{x1- x2} }[/tex]
Gradient
[tex] = \frac{4 - ( - 2)}{2 - 1} [/tex]
= 6
y= 6x +c
To find the value of c, substitute the equation with a pair of coordinates.
When x= 1, y= -2,
-2= 6(1) +c
c= -2 -6 (-6 on both sides)
c= -8
Thus, the equation of the line is y= 6x -8.
ILL GIVE BRAINLIEST!! Find y. Give your answer in
the simplest form.
45°
y = [?]
Answer:
y = 2
Step-by-step explanation:
Using the sine ratio and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{\sqrt{2} }{y}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
y = ([tex]\sqrt{2}[/tex] )² = 2
Can someone help me answer these practice questions
Answer:
A. 3x +3
B. 10x + 4
C. 30x - 50
D. -12x - 21
Step-by-step explanation:
A. 3(x + 1)
1. Multiply 3 times x = 3x
2. Multiply 3 times 1 = 3
3. Put them together 3x + 3
4. Repeat process for other problems.
Let me know if you have any other questions :)
pls help
Factor out the GCF
16x - 48
Answer:
16
Step-by-step explanation:
the greatest common factor of 16 and 48 is 16
Factors for 16: 1, 2, 4, 8, and 16.
Factors for 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.
Solve for x.
Please help
Answer:
x =6
Step-by-step explanation:
The angles are alternate interior angles and alternate interior angles are equal
7x = x+36
Subtract x from each side
7x -x = x+36-x
6x = 36
Divide by 6
6x/6 = 36/6
x = 6
Find the area of the shaded region for the given figure in terms of x.
X-1
X + 2
X-1
X + 2
Answer:
Area of the shaded region = (6x + 3)
Step-by-step explanation:
Area of the shaded region = Area of the large rectangle - Area of the small rectangle
Area of the large rectangle = Length × Width
= (x + 2)(x + 2)
= (x + 2)²
= x² + 4x + 4
Area of the small rectangle = (x - 1)(x - 1)
= (x - 1)²
= x² - 2x + 1
Area of the shaded region = (x² + 4x + 4) - (x² - 2x + 1)
= 6x + 3
Area of the shaded region = (6x + 3)
Only answer if you’re sure of it. FAST!!
A card is drawn from a standard deck of 52 cards and not replaced. Find the probability of drawing a king
and then an ace.
Please Help!!
In OW, given that WV WU, find TS if VQ = 13. A 6.5 B 13 C. 19.5 D. 26
Answer:
The answer is D
Step-by-step explanation:
This is because it cant be 13 or any smaller, and if the shorter side is 13 than it can't be any less than double itself, so it's D
ILL GIVE BRAINLIEST!!
If P = (-1, 7), Find:
r180° (P)
7 x 180 = 1260
1260/2 = 630 is the answer
Answer:
630
Step-by-step explanation:
help me pls and solve for x
Answer:
See below.
Step-by-step explanation:
sin(71) = x/23
x = sin(71) * 23
x = 21.75
Answer:
21.75 (2 digit after decimal)
Step-by-step explanation:
Sin theta = perpendicular/hypotenuse
sin 71=x/23
23 sin 71=x
x=21.747
What is the value of 9/10 divided by 1/5?
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{\dfrac{9}{10} \div \dfrac{1}{5}}[/tex]
[tex]\mathsf{= \dfrac{9}{10}\times\dfrac{5}{1}}[/tex]
[tex]\mathsf{= \dfrac{9\times5}{10\times1}}[/tex]
[tex]\mathsf{9 \times 5 = \boxed{\bf 45} \ (numerator)}[/tex]
[tex]\mathsf{10\times 1 = \boxed{\bf 10} \ (denominator)}[/tex]
[tex]\mathsf{= \dfrac{45}{10}}[/tex]
BOTH NUMBERS HAVE the GCF (Greatest Common Multiple) of 5, so we are going to DIVIDE BOTH THE NUMERATORS by 5[tex]\mathsf{= \dfrac{45\div5}{10\div5}}[/tex]
[tex]\mathsf{45\div 5 = \boxed{\bf 9} \ (numerator)}[/tex]
[tex]\mathsf{10 \div 5 = \boxed{\bf 2} \ (denominator)}[/tex]
[tex]\mathsf{= \dfrac{9}{2}}[/tex]
CONVERT YOUR CURRENT FRACTION to a MIXED NUMBER[tex]\mathsf{= 4\dfrac{1}{2}}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: }\mathsf{\bf 4 \dfrac{1}{2}}\large\text{ \bf or }\mathsf{\bf \dfrac{9}{2}}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Mr. Cox filled up his car with gas yesterday. He paid $24 for 6 gallons of gas.
How much would 10 gallons of gas cost?
Answer:
40 gallons of gas
Step-by-step explanation:
Get–Around Cab Company charges $2.50 upon entry and $2 per mile. Write the function that represents the cost C of a ride of m miles. C(m) = m +
Answer:
C(m) = 2.50 + 2m
Step-by-step explanation:
The fixed charge = charge per entry = $2.50
Charge per mile = $2
Function which represents the cost of a ride of m miles ;
Cost for m miles, C(m)
C(m) = charge per entry + cost per mile * number of miles
Where, number of miles = m
C(m) = 2.50 + 2m
Answer:
C(m) =2 m + 2.5
Step-by-step explanation:
I DID IN ED
Andrea's family stopped at the gas station to get gas. At gas stations, the price of gas per gallon is given to the nearest thousandth. In order to determine how much money he would need to pay for the gas, Andrea's dad asked her to round the price of gas per gallon to the nearest hundredth.
The gas price per gallon rounded to the nearest hundredth was $2.50. Which of the following prices could have been the original gas price?
$2.493
$2.505
$2.509
$2.498
Answer:
$2.498
Step-by-step explanation:
Please help me this should be easy for y'all thanks
Answer:
20
Step-by-step explanation:
the dimensions of a lawn shaped like a trapezoid are given in meters. what is the area of the lawn in square meters?6m, 3m, 5m, 14m
Answer:
the answer is 14m
Step-by-step explanation:
sorry Kung Hindi Tama aNg sagot.piro Sana makatolong
What is the square feet
A.60 square feet
B.54 square feet
C.42 square feet
D.104 square feet
Imperial measurement systems please show all work in a neat manner thank you !
Answer:
1. Ethan
2. 2.5 tons
3. 72 in
4. 5.7 mi
Step-by-step explanation:
1. Convert to pints by multiplying gallons by 4 to get quarts and quarts by 4 to get pints then compare.
2. Divide pounds by 2000 to get tons
3. Multiply by 12
4. Divide by 5280 to turn feet into miles
ahh could i get sum help?
Answer:
8/35 cubic inches
Step-by-step explanation:
Volume is length x width x height. To find the answer, we must multiply all values together. 2/3 times 3/5 ix 6/15. Let's simplify this before multiplying further. 6/15 can also be written as 2/5. 2/5 times 4/7 is 8/35 which cannot be simplified. 8/35 is the final answer.