[tex]\boldsymbol{5x+15=30}[/tex]
Subtract 15 from both sides.
[tex]\boldsymbol{5x=30-15 }[/tex]Subtract 15 from 30 to get 15.
[tex]\boldsymbol{5x=15 }[/tex]Divide both sides by 5.
[tex]\boldsymbol{x=\dfrac{15}{5} }[/tex]Divide 15 by 5 to get 3.
[tex]\boldsymbol{x=3 \ \ \to \ \ \ Answer}[/tex]VerificationLet x=3.
[tex]\bf{5\times3+15=30 \ \ \to \ \ \ Multiply }[/tex][tex]\bf{15+15=30 \ \ \to \ \ \ Add}[/tex][tex]\bf{30=30 \to \ The \ equality \ is \ fulfilled.}[/tex]Checked ✅
[tex]\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]
which statement is true of the function f(x) = -3 squared root x
Using translation concepts, it is found that the function [tex]f(x) = -3\sqrt{x}[/tex] is the function [tex]g(x) = \sqrt{x}[/tex] reflected over the x-axis and vertically stretched by a factor of 3.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, from [tex]g(x) = \sqrt{3}[/tex] to [tex]f(x) = -3\sqrt{x}[/tex], g(x) was multiplied by -3, that is, it was reflected over the x-axis(due to the multiplication by the negative number) and vertically stretched by a factor of 3.
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HELPPPPP I NEED HELP ITS URGENT !
Answer:
-5=m
Step-by-step explanation:
-3/4m-1/2=2+1/4m
-2/4m-1/2=2
-2/4m=2 1/2
m=-5
Suppose that g(x) = f(x) + 6. Which statement best compares the graph of g(x) with the graph of f(x)?
A) The graph of g(x) is the graph of f(x) shifted 6 units down.
B) The graph of g(x) is the graph of f(x) shifted 6 units to the left.
C) The graph of g(x) is the graph of f(x) shifted 6 units up.
help please D:
From the graph attached below, we can see that the graph of g(x) is the graph of f(x) shifted 6 units up. the correct option is C.
How to know if a point lies in the graph of a function?All the points (and only those points) which lie on the graph of the function satisfy its equation.
Thus, if a point lies on the graph of a function, then it must also satisfy the function.
Given;
Suppose that g(x) = f(x) + 6.
From the graph attached below, we can see that the graph of g(x) is the graph of f(x) shifted 6 units up.
Hence, the correct option is C.
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The complete question is
"Suppose that g(x) = f(x) + 6. Which statement best compares the graph of g(x) with the graph of f(x)?
A) The graph of g(x) is the graph of f(x) shifted 6 units down.
B) The graph of g(x) is the graph of f(x) shifted 6 units to the left.
C) The graph of g(x) is the graph of f(x) shifted 6 units up.
D. The graph of g(x) is the graph of f(x) shifted 6 units to the right."
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the perimeter of a right angle triangle is 24 cm and its area is 24 cm square if the hypotenuse is 13 cm find the remaining sides
Answer:
let the remaining sides be X and Y
perimeter = X + Y + 13
24 = X + Y + 13
11 = X + Y ---(1).
Area = 1/2 * base * height
24 = 1/2 * X * Y
XY = 48.-----(2)
solving eq 1 and 2
X + Y = 11
XY = 48
Xy + y² = 11y
Xy = 48
y²= 11y - 48
y² -11y + 48 = 0
no real solution of this equation.
Answer:
Step-by-step explanation:
the triangle is NOT a 3–4–5 or multiple,
so it is not a right triangle or your data is wrong.
Find the area for a triangle that has a base of 24 inches and a height of 4 inches. 96 in 2 48 in 2 cannot be determined 28 in 2
Answer:
48 in²
Step-by-step explanation:
triangle = bh/2
triangle = 24 x 4 / 2
triangle = 48 in²
how do i Solve this equation
√x+5-2=0
Answer:
9
Step-by-step explanation:
√x+5-2=0
√x+3=0
√x= -3
x=9 [(-3)*(-3) = 9]
Jillian is trying to determine what helium tank pressure she needs to fill balloons for the student council dance. Find the unknown numbers in the table until you find the best answer to the question.
Which cylinder pressure will Jillian need if she plans to fill 90 balloons?
According to the typical Helium Cylinder/Balloon Chart, she will need 300 pounds of pressure to fill 90 balloons. Option D is correct.
What is pressure?The force applied perpendicular to the surface of an item per unit area across which that force is spread is known as pressure. The force involved vertically to the surface of an object per unit area is pressure.
It is denoted by P. The pressure relative to the ambient pressure is known as the gauge pressure.
The complete question is:
Jillian is trying to determine what helium tank pressure she needs to fill balloons for the student council dance. Find the unknown numbers in the table until you find the best answer to the question. Which cylinder pressure will Jillian need if she plans to fill 90 balloons? Tank Pressure and Balloon Quantity Pressure in the helium cylinder (psi) Number of 9-inch balloons 100 30 150 ? 200? 250? 300?
According to the typical Helium Cylinder/Balloon Chart, she will need 300 pounds of pressure to fill 90 balloons (PSI.)
Simply divide the number of balloons by the total PSI to arrive at this figure.
⇒990/300
⇒3.333333 psi each.
The no of the 90-inch balloon is found as;
⇒3.33333 × 90
⇒300
According to the typical Helium Cylinder/Balloon Chart, she will need 300 pounds of pressure to fill 90 balloons.
Hence option D is correct.
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The slope-intercept form of the equation of a line that passes through point (-2,-13) is y=5x-3. What is the point-slope form of the equation for this line?
Answer:
y + 13 = 5(x + 2)
Step-by-step explanation:
Point - slope form of equation:[tex]\sf \boxed{\bf y - y_1=m(x-x_1)}[/tex]
Slope intercept of the line : y =5x - 3
Comparing with y = mx +b , m =slope = 5
m = 5 and Point (-2 ,-13)
y - [-13] = 5(x - [-2])
y + 13 = 5(x + 2)
The proportional relationship between two variables, y and z, is represented by y = 11/2z. What is the constant of proportionality from z to y?
Answer:
Step-by-step explanation:
Comment
The constant you want is just the reciprocal of the constant you have been given. You can show it this way
y = 11/2 z Multiply both sides by 2
2y = 11z Divide both sides by 11
Answer
2/11 y = z
The area of a rectangle, A = l • w is represented by the expression 24x^6y^15. Which could be the dimensions of the rectangle?
After calculating the value, l & w could be [tex]2x^{5} y^{8}[/tex] & [tex]12x^{} y^{7}[/tex].
Calculation:The inquiry relates to the laws of indices
where, [tex]x^{a} * x^{b}=x^{a+b}[/tex]
Provided the query, A= [tex]24x^{6}y^{15}[/tex]
[tex]2* 12[/tex] might be used to calculate the length and width of 24.
Hence,
[tex]x^{6}=x^{5} * x^{1} =x^{5+1}[/tex]
& [tex]y^{15}= y^{8} * y^{7} =y^{8+7}[/tex]
So, it can be written as,
A=l * w
⇒ [tex]24x^{6}y^{15}[/tex] = [tex]2x^{5}y^{8}[/tex] * [tex]12xy^{7}[/tex]
Therefore, it is concluded that the dimensions of the rectangle could be [tex]2x^{5} y^{8}[/tex] & [tex]12x^{} y^{7}[/tex].
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Shapes A and B are similar.
a) Calculate the scale factor from shape A to
shape B.
b) Find the value of r.
Give each answer as an integer or as a fraction in
its simplest form.
5 cm
11 cm
A
20 cm
3 cm
rcm
B
12 cm
Not drawn accurately
The scale factor from A to B is 5/3 and the value of r is 33/5
The scale factor from A to BFrom the figure, we have the following corresponding sides
A : B = 5 : 3
Express as fraction
B/A = 3/5
This means that, the scale factor from A to B is 5/3
The value of rFrom the figure, we have the following corresponding sides
A : B = 11 : r
Express as fraction
B/A = r/11
Recall that:
B/A = 3/5
So, we have:
3/5 = r/11
Multiply by 11
r = 33/5
Hence, the value of r is 33/5
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what is 349,001 + 209, 499?
Answer:
558, 500
Step-by-step explanation:
round 349,001 to 349,000 subtracted 1
round 209, 499 to 209, 500 added 1
349,000 + 209, 500 = 558, 500
Now, the added and subtract 1 cancel out so that is the final answer
a woman bought some oranges and 30% of them were bad if there were 60 bad oranges how many oranges did she buy
Answer:
if 60 is 30%, then add up to 100%
60+60+60= 180
but we still have 10% left so divide 30% by 3 to get 10% then add
30% (or 60) /3 is 20
add 20 to 180
boom you get 200 she bought 200 oranges i wonder how shes gonna fit them in her car that's a lot of oranges
Answer:
200
Step-by-step explanation:
To calculate 30 percent of a number, we multiply the number by 30 and then divide by 100. Therefore, we can make the following function:
30 ∗ x÷100
= 60
To solve for x, we first multiply both sides by 100 and then divide both sides by 30 to get the x = 200. Therefore, the answer to 60 is 30 percent of what number? is:
200
Question 9 of 10
If f(x)= (3 + x) over (x-3)
what is f(a + 2)?
A. 3+ f(a+2) over f(a)-1
B. (5+ a) over (a-1)
c. (3+a) +2
(a-3)
Answer:
[tex]\huge\boxed{\sf f(a+2)=\frac{5+a}{a-1}}[/tex]
Step-by-step explanation:
Given function:[tex]\displaystyle f(x)=\frac{3+x}{x-3}[/tex]
Put x = a + 2
[tex]\displaystyle f(a+2)=\frac{3+a+2}{a+2-3} \\\\f(a+2)=\frac{5+a}{a-1} \\\\\rule[225]{225}{2}[/tex]
Fred's garage has a leaky roof. There are 24 holes in the roof. If it costs $124 to fix each hole, how much will it cost to fix all of the holes?
A. Subtract 24 from 124
B. Multiply 24 by 124
C. Add 124 to 24
D. Divide 124 by 24
What are the zeros of this function?
g(x) = 2(x + 2)(x - 9)
The zeros of function g are located at
and
Simplify The Following - c^5xc
if a + b is equal to 2 find the value of a cube plus b cube + 6ab
Which table represents a linear function?
Answer:
1st one.
Step-by-step explanation:
Given that 2x − 1∶ − 4 = 16x + 1 ∶ 2x − 1 find the possible values of
The possible values of x are 5 and -1/12
Complete questionGiven that 2x − 1∶ x − 4 = 16x + 1 ∶ 2x − 1 find the possible values of x
How to determine the possible values of x?The ratio is given as:
2x − 1∶ x − 4 = 16x + 1 ∶ 2x − 1
Express as fraction
[tex]\frac{2x - 1}{x-4} = \frac{16x + 1}{2x -1}[/tex]
Cross multiply
4x^2 -4x + 1 = 16x^2 + x -64x - 4
Collect like terms
-16x^2 + 4x^2 + 64x - x - 4x + 1 + 4 = 0
Evaluate the like terms
-12x^2 + 59x + 5 = 0
Divide through by -1
12x^2 - 59x - 5 = 0
Expand
12x^2 + x - 60x - 5 = 0
Factorize
x(12x + 1) - 5(12x + 1) = 0
Factor out 12x + 1
(x - 5)(12x + 1) = 0
Expand
x - 5 = 0 or 12x + 1 = 0
Solve for x
x = 5 or x = -1/12
Hence, the possible values of x are 5 and -1/12
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In a cake recipe, 400 grams of butter is mixed with 800 grams of flour. What is the ratio of the butter to the flour? Write it in its simplest form.
Answer:
First of all this is 5th grade math but 400/800 = 1/2
Step-by-step explanation:
Answer:
1:2
Step-by-step explanation:
400/800=1/2 as 400*2=800
Which of the following are solutions to the equation below?
Check all that apply.
(3x - 5)² = 19
☐A. X=
14
B. X= -√19+5
□ C. x= -√19 +5
3
□ D. X = √19 +5
3
DEX=√14
OF X= √19+
Answer:
[tex]\sf x = \dfrac{\sqrt{19}+5}{3} \ ; \ x = \dfrac{-\sqrt{19}+5}{3}[/tex]
Step-by-step explanation:
(3x - 5)² = 19
To find the solution for the equation, take square root on both sides.
[tex]\sf 3x - 5 = \± \sqrt{19}\\\\ Add \ 5 \ to \ both \ sides \\\\ 3x = \±\sqrt{19} + 5\\\\ Divide \ both \sides \ by 3\\\\ x = \dfrac{\±\sqrt{19}+5}{3}\\\\x = \dfrac{\sqrt{19}+5}{3} \ ; \ x = \dfrac{-\sqrt{19}+5}{3}[/tex]
PLS HELP ME I WIL MARK BRAINLEST
18% Commission on a $500 couch
Step-by-step explanation:
please mark me as brainlest
Answer:
$90
Step-by-step explanation:
Rate of commission = 18%Amount = $500Commission = 18% 0f 500 = 0.18*500 =$90What is the range of the function on the graph?
Answer:
the answer is [1, infinity)
A candle on Pauline’s dresser is 4 inches tall and burns at a rate of 0.6 inches per hour. How many hours will it take for the candle to burn down to a height of 1.3 inches?
Answer:
4 1/2 hours
Step-by-step explanation:
first i subtracted 1.3 from 4 and got 2.7
Next i just multiplied 0.6 by random numbers ubtil i got something close to 2.7
i ended up with 2.4 when I multiplied 0.6 by 4
it still is .3 short
since it takes an hour for the candle to burn, then if you cut it in half, that means 30 minutes
therfore, 4.5 hours
Find the measure of angle DCF=
help me please :)) ty
Answer:
∠ DCF = 39°
Step-by-step explanation:
the secant- secant angle DCF is half the difference of the measures of the intercepted arcs, that is
∠ DCF = [tex]\frac{1}{2}[/tex] (EG - DF) = [tex]\frac{1}{2}[/tex] (127 - 49)° = [tex]\frac{1}{2}[/tex] × 78° = 39°
The table above shows some values of the linear function F. Which of the following defines F? A) f(n) = n-3 B) f(n) = 2n-4 C) f(n) = 3n-5 D) f(n) = 4n-6
Answer:
3n - 5
Step-by-step explanation:
f(n) = 3n - 5. Works for all of them
If geometry symbol represented as small triangle with three sides. abc a geometry symbol represented as small triangle with three sides. dec, what is the value of x? a. x = 8 b. x = 5 c. x = 4 d. x = 1 e. x = 2
Answer:
D. X=1
Step-by-step explanation:
It's clear if you work through it just use substitution and you'll get the same answer yourself
A company makes 130 bags.
28 of the bags have buttons but no zips.
33 of the bags have zips but no buttons.
49 of the bags have neither zips nor buttons.
How many bags have zips on them?
Please answer in fraction form
Answer:
33 bags or 33/110 (which can be expressed as about 30%)
Step-by-step explanation:
BUTTONS ZIPS
28 Y N
33 N Y
49 N N
The only bags with zips is the second group of 33 bags. There are 110 bags in total, so the fraction would be (33/110)
[tex]2^{x^2-5x}=\frac{1}{64}[/tex]
Answer:
2, 3
Step-by-step explanation:
See attached images for work.
