Answers
Answer:
Step-by-step explanation:
[tex]\sqrt{x-3}[/tex] = x - 5 ( x ≥ 3 )
( [tex]\sqrt{x-3}[/tex] )² = ( x - 5 )²
x - 3 = x² - 10x + 25
x² - 11x + 28 = 0
(x - 4)(x - 7) = 0
[tex]x_{1}[/tex] = 7
[tex]x_{2}[/tex] = 4
Check the answer:
1). x = 7
[tex]\sqrt{7-3}[/tex] = 7 - 2
√4 = 2
2 = 2
2). x = 4
[tex]\sqrt{4-3}[/tex] = 4 - 5
1 = - 1 (False statement) ⇒ x = 4 is an extraneous solution.
Related Questions
a9=35 d=4
write the value for the 9th term of the sequence
Answers
Answer:
It is 35 as you said !
but the nth term of it is : Y= 4X-1 .
Step-by-step explanation:
Hope this helps u <3
Divide 468 in the ratio 4:5
Answers
468 divided to the ratio 4:5 is 208 : 260.
A dealer can fix 30 dirt bikes in 5 hours. What is the unit rate per hour? How many dirt bike can they
fix in 10 hours?
Answers
They can fix 60 bikes in 10 hours
HIIII could some one help me !!!
Answers
Answer:
the (left)box on the slanted line is the hypotenuse and the lowest and right box are both the leg
Step-by-step explanation:
If you horizontally stretch the quadratic parent function, f(x) = X^2 by a factor
of 5, what is the equation of the new function?
Answers
9514 1404 393
Answer:
g(x) = x^2/25
Step-by-step explanation:
For a horizontal stretch by a factor of k, x is replaced by x/k.
g(x) = f(x/5) = (x/5)^2 = x^2/25
The new function is ...
g(x) = x^2/25
Help ASAP with c....
Answers
Answer:
(7,0)
Step-by-step explanation:
Which of the following does not represent
function of x?
Answers
Answer:
F
Step-by-step explanation:
The x and y do not match up
Answer:
It is F.
Step-by-step explanation:
It is F because all the x's are the same as that cannot happen.
GIVING BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 28pts-
Answers
Answer:
Step-by-step explanation:
A=1/4πd2
A = 1/4(22/7)(18)^2
= 254.47
consider the following equations: -x-y=1 y=x+3 if the two equations are graphed, at what point do the lines representing the two equations intersect? (-1,2) (-2,1) (1,-2) (2,-1)
Answers
Answer:
(-2, 1)
Step-by-step explanation:
consider the following equations: -x-y=1 y=x+3
For the lines to intersect, the values must be the same
-x-y=1
x + y = -1
y = -x - 1
Equating the y values
-x - 1 = x+ 3
-x-x = 3 + 1
-2x = 4
x = 4/-2
x = -2
Substitute x = -2 into y = x+3
y = -2 + 3
y = 1
Hence the required coordinate is (-2, 1)
URGENT!!! NEED ASAP!!! TIMED TEST!!!
Given: x + 2 < -5.
Choose the solution set.
{x | x ∈ R, x < -3}
{x | x ∈ R, x < 3}
{x | x ∈ R, x < -7}
{x | x ∈ R, x < 7}
(Please answer as soon as you can!!)
Answers
Answer:
ok the answer is 10
Step-by-step explanation:
Just put 10 lol
Find the area of the parallelogram, 22mm 11mm. Please help im stu-pid
Answers
Step by step:
A = b h = 22 x 11 = 242
Please Help me with this question. Needs to be the correct answer.
Answers
Answer:
the answer is 216 sq m
Step-by-step explanation:
Who can do this whoever best explains is I'll give you brainliest pls asap
Answers
9514 1404 393
Answer:
-3x³y∛9
Step-by-step explanation:
The expression can be simplified by removing perfect cubes from under the radical.
[tex]\sqrt[3]{-243x^9y^3}=\sqrt[3]{(-3x^3y)^3\cdot9}=\boxed{-3x^3y\sqrt[3]{9}}[/tex]
__
It helps to realize that 243 = 3^5 = (3^3)(3^2).
20 points
3. A suitcase measures 24 inches long and the width is 18 inches long.
How much ribbon is needed to go down both sides of the suitcase
diagonally? (Hint: Draw a picture and add both diagonals together.)
Answers
Answer:
60in
Step-by-step explanation:
Given data
Length= 24 in
Width = 18 in
Diagonally, we need to find using the Pythagoras theorem
D^2= L^2+W^2
D^2= 24^2+18^2
D^2= 576+324
D^2= 900
Square both sides
D= √900
D= 30 in
For both sides
=30*2= 60in
Shante has 120 books in her book collection. 60% of her books are nonfiction. How many books are fiction
Answers
Answer:
72
Step-by-step explanation:
72
60 x 120
100
= 72
answer this question for brainliest and 25 points
Answers
Answer:
2
3
1
4
Step-by-step explanation:
1 = 2.83
2 = -3.75
3 = 2.25
4 = 3
Answer:
[tex]\frac{9}{4}[/tex] should be 1st
√8 should be 2nd
3 should be 3rd
- 3.75 should be 4th
Mary simplified the math expression below. The steps that she took are shown. Which is the line where Mary first made her mistake. Line A: – 6 + 9 Line B: [8 + 5 x 3] – 6 + 9 Line C: – 6 + 9 Line D: 23 – 6 + 9 Line E: 23 – 15 Line F: 8
Answers
Answer:
Line E
Step-by-step explanation:
Given
The instructions in the question
Required
The first line of mistake
The question has missing details, as the original expression is not given;
Reading through the question, one can observe that, Mary made a mistake at Line E.
The expression on D is:
[tex]23 - 6 + 9[/tex]
The expression on E is:
[tex]23 - 15[/tex]
The actual result of D is:
[tex]23 - 6 + 9 = 23 + 3[/tex]
not
[tex]23 - 15[/tex]
Because:
[tex]-6 + 9 = 3[/tex]
[tex]-6 + 9 \ne 15[/tex]
With the available information, we can conclude that Mary's first mistake is at line E
Ok my question says "destiny and carla had a total of 3 gallons of paint to share for a project they had 1 gallon each yellow blue and red paint destiny used 3/8 gallon of yellow paint 1/2 of blue paint 1/4 of red paint carla used 1/4 of yellow 3/8 of blue and 1/4 of red then part a ask how much more paint in gallons did destiny use than carly
Answers
Answer: 1/4
Step-by-step explanation:
Since Destiny used 3/8 gallon of yellow paint, 1/2 of blue paint and 1/4 of red paint, the total paint used will be:
= ⅜ + ½ + ¼
= 3/8 + 4/8 + 2/8
= 9/8
= 1 1/8
Carla used 1/4 of yellow, 3/8 of blue and 1/4 of red. The total paint used will be:
= 1/4 + 3/8 + 1/4
= 2/8 + 3/8 + 2/8
= 7/8
The numybe of paint that Destiny use more than Carla will be:
= 1 1/8 - 7/8
= 2/8
= 1/4
Destiny used 1/4 paint more than Carla
A bag contains 12 green cubes 5 blue cubes and 3 yellow cubes find each probability if you choose one at random
Answers
Answer:
2/5
1/6
1/10
Step-by-step explanation:
total number of cubes = 12 + 5 + 3 = 20
Probability of picking green cubes = total number of green cubes / total number of cubes = 12/30 = 2/5
Probability of picking blue cubes = total number of blue cubes / total number of cubes = 5/30 = 1/6
Probability of picking yellow cubes = total number of yellow cubes / total number of cubes = 3/30 = 1/10
(Will Give Brainliest)
Answers
Answer:
A. (-4, -4)
Step-by-step explanation:
According to the word problem, a dilation of (0.75x, 0.75y) is applied to a triangle.
This means the original coordinates were enlarged/multiplied by 0.75.
We can multiply the coordinates at the bottom by 0.75 to see if we get any of the resulting images' coordinates.
OR
We could divide the resulting images' coordinates by 0.75 to see if we get any of the answers on the bottom.
For instance,
(-3, -3)
-3 / 0.75 = -4 (x-coordinate)
-3 / 0.75 = -4 (y-coordinate)
This means (-4, -4) were the original coordinates of (-3, -3) before the dilation of 0.75.
Please hurry and answer I got 40 minutes left Payton bought packages of black T-shirts and packages of white T-shirts. Each package of black T-shirts contains 3 shirts. Each package of white T-shirts contains 4 shirts. Payton bought b packages of black T-shirts and 5 packages of white T-shirts for a total of 38 T-shirts.
Which equation could Payton solve to determine the number of packages of black T-shirts, b, he bought?
Answers
Answer:
Which equation could Payton solve to determine the number of packages of black T-shirts, b, he bought?
3b + 4(5) = 38
Collecting and Distributing
Solve the problem below:
-b + 5b + 4a(a - 6)
Answers
Step by step exploration
-b+5b+4a(a-6)=4b+4a^2-24
The circumference of a circle is 36cm what is the radius of the article
Answers
Answer:
5.73cm
Step-by-step explanation:
r=C/2pi=36/2*pi=5.73
Answer:
5.73 cm
Step-by-step explanation:
[tex]C=2\pi r[/tex]
Plug in the circumference 36 cm
[tex]36=2\pi r[/tex]
Divide both sides by 2π
[tex]\frac{36}{2\pi }=\frac{2\pi r}{2\pi } \\5.73=r[/tex]
Therefore, the radius of the circle is approximately 5.73 cm.
I hope this helps!
FIND THE SURFACE AREA. I WILL MARK YOU A BRAINLEST IF THE ANSWER IS RIGHT
Answers
Answer:
SA= 222cm ^2
Step-by-step explanation:
Surface area of the prism = (Perimeter of the base of the prism) × height + 2(area of the base)
Perimeter of the base = 5 + 3 + 2 + 2 + 2 + 3 + 5 + 8
= 30
Area of the base = 8×5 - 2×2 = 36 cm²
Surface area of the prism = 30×5 + 2×(36)= 222 cm²
I really don't understand this on so can somebody pls help me pls
Answers
Answer:
first: 140
second: 9
third: 19
Step-by-step explanation:
the first question is x=140 because they are opposite angles.
second is also opposite so 4x=36, x=9
third is also opposite so 4x+5=81, 4x=81-5, x=19
i need help pls (づ｡◕‿‿◕｡)づ
Answers
Answer:
no shortcuts can be used
Answer:
You need to multiply the number of choices in both sets.
Step-by-step explanation:
For example, you have an outcome being 4. You need to multiply the two numbers to get the outcome. Same with the rest of the outcomes in the chart.
Hope this helps!
For a school project, Sarah plans to build a scale model of an Egyptian pyramid. She will be using a scale of: 1 cm = 5 meters.
If the pyramid is 140 meters tall, how tall will her model pyramid be?
A.
56 centimeters
B.
28 centimeters
C.
32 centimeters
D.
28 meters
Answers
Answer:
B
Step-by-step explanation:
you divide 140 by 5 so 28 is the answer
B .28cm
Step-by-step explanation:
if 1cm=5m
then,140=×
1cm=5cm
cross multiply to get;
140÷5=28(cm)
=28cm
What is the angle measurement of the angle RUS
Answers
Answer:
Angle RUS = 160°
Step-by-step explanation:
Angle QUT is 160, and since angles QUT and RUS are vertical angles, they are congruent to each other.
So, Angle RUS = 160°
Help please explain answer.
Answers
Answer:
A. 20
Step-by-step explanation:
Firstly, you have an equation where x is unknown.
It is said to find the result of this equation if x is 5.
That means you have to substitute 5 instead of x in your equation.
That will be:
3*5+4*5-15
When you calculate that, you get number 20.
50 Points!!!!!!!!
A shipping container is in the shape of a right rectangular prism with a length of 2
feet, a width of 5 feet, and a height of 1.5 feet. The container is completely filled with
contents that weigh, on average, 0.72 pound per cubic foot. What is the weight of the
contents in the container, to the nearest pound?
Answers
Answer:
102 pounds
Step-by-step explanation: