factorise completely 5x²-5
Factor:
5x^2 − 5
5x^2 − 5
= 5 ( x + 1 ) ( x − 1 )
Answer:
5 ( x + 1 ) ( x − 1 )
In a poll to pick the name of a new planet discovered in a distant solar system, a total of 963 scientists voted. There were four names to pick from. The winning name exceeded the other names by 53, 79, and 105 votes, respectively. How many scientists voted for the name which came fourth in the poll?
Answer:
195
Step-by-step explanation:
Let wining name have, x votes
1st = x
2nd = x - 53
3rd = x - 79
4th = x - 105
x + (x - 53) + (x - 79) + (x - 105) = 963
x + x - 53 + x - 79 + x - 105 = 963
4x - 237 = 963
4x = 963 + 237
4x = 1200
x = 1200 / 4
x = 300
4th = x - 105
x - 105 = 300 - 105 = 195
Michèle is buying carpet for a room with the dimensions shown
Aryana simplified the expression 3(x + 4) + 2(2x – 3). She justified her work by letting x = 3 in both the given and simplified expressions.
Which is the correct simplified expression for Aryana’s expression?
What is the result for both expressions when x = 3?
Answer:
7x+6
Step-by-step explanation:
Aryana simplified the expression 3(x + 4) + 2(2x – 3). She justified her work by letting x = 3 in both the given and simplified expressions. Which is the correct simplified expression for Aryana's expression? What is the result for both expressions when x = 3?
Simplified Expression:
3(x + 4) + 2(2x – 3)
3x+12+2(2x-3)
3x+12+4x-6
7x+6
Answer:
the first box is 7x+6 and the other one is 27
Step-by-step explanation:
A brick wall will be shaped like a rectangular prism. The wall needs to be 3 feet tall, and the builders have enough bricks for the wall to have a volume of 330 cubic feet. Give one pair of possible whole-number dimensions for the base.
Answer:
6 ft
Step-by-step explanation:
1 x 5 x 3 x3 x 3x 3 x 3 x3 x 3 x 3 x3x 3x 3x
i hope it help
HELP ILL GIVE BRAINLIEST what’s the shape of the base?
Answer:
the shape of the base is a rectangle, and the area of that rectangle is 160
Step-by-step explanation:
please help .........
Answer:
+10
Step-by-step explanation:
Answer:
1:10
Step-by-step explanation:
Look closely at the numbers
3/30 = 1/10
5/50 = 1/10
7/70 = 1/10
The answer is 1/10 or 1:10
A man can paint a door in 1 1/4 hour? How many similar doors can paint in 7 1/2
Answer:
6 doors
Step-by-step explanation:
1 1/4 + 1 1/4 = 2 1/2 +2 1/2 = 5 + 2 1/2 = 7 1/2
1 2 3+4 5+6
have a good day
I thought I had $35 in my bank account.
When I checked my balance, I actually
had $75. Aaayyyyeeee!!! What was my
percent error?
your awnser will be 100 because if
Question 2
Which of the following sets of ordered pairs represents a relation that is not a function?
Sansa shifted the parabola y = x^2 by 3 units to the right. Which of the following equations corresponds to the resulting graph?
А) y = x2 + 3
B) y = x2 + 9
C) y = x2 + 6x + 9
D)y = x2 - 6x + 9
Answer:
y = (x - 3)^2
Step-by-step explanation:
The original function is y = x^2. Its vertex is at (0, 0). Translating the graph h units to the right results in g(x) = (x - h)^2; h units to the left results in h(x) = (x + h)^2.
In this particular case we have y = x^2 and are translating the graph 3 units to the right. Thus, the original function y = x^2 becomes y = (x - 3)^2.
In ΔJKL, the measure of ∠L=90°, JK = 5.8 feet, and LJ = 4.4 feet. Find the measure of ∠K to the nearest degree.
Answer:
The answer is 49.
Step-by-step explanation:
\sin K = \frac{\text{opposite}}{\text{hypotenuse}}=\frac{4.4}{5.8}
sinK=
hypotenuse
opposite
=
5.8
4.4
\sin K = \frac{4.4}{5.8}
sinK=
5.8
4.4
K=\sin^{-1}(\frac{4.4}{5.8})
K=sin
−1
(
5.8
4.4
)
K=49.343\approx 49^{\circ}
K=49.343≈49
Triangle ABC is an acute triangle. Two sides measure 5 and 7. What is the range of possible values for its third side?
Answer:
the desired range is 2 < t < 12.
Step-by-step explanation:
If the third side is 12 (the sum of 5 and 7), we don't really have a triangle, since the 5-unit and 7-unit sides add up to 12 and lie on the third side (of length 12).
Since triangle ABC is acute, all its angles are between 0 and 90 degrees. So the third side can be 12 but not greater. The smallest possible length of the third side is 2, since 5 + 2 = 7.
Thus, the desired range is 2 < t < 12.
40. In the diagram, each shape has a value and the sums of the shapes in each of the first three rows is given. Find the sum of the shapes in the fourth
TOW
α
= 31
Ν
27
Δ.
ΠΟΔΔ/
ΠΟΠΟΔ - ?
24
Answer:
This does not explain
Step-by-step explanation:
...
Answer:
26
Step-by-step explanation:
With some trial and error I found out that the square equals 5 and the circle equals 7. Now to find the triangle, I used the second equation. It was ⬜+⭕+⭕+⛛+⛛ = 27
So I put in the numbers in place of the square and circle:
5+7+7+⛛+⛛ = 27
5+7+7 = 5+14=19
27-19=8
So now we know that 2⛛=8
So I did 8 ÷ 2 = 4. ⛛=4
So we know that ⛛ = 4, ⭕ = 7, ⬜ = 5
Lets solve: ⬜ + ⬜ + ⬜ + ⭕ + ⛛ = ?
Translating into: 5 + 5 + 5 + 7 + 4 = 26
So our final answer is 26.
HELPPPPPPPPPPPPPPPP
Don’t do it if u don’t know because this is important and I can’t get a bad grade
Answer:
it is A hope this helps
Step-by-step explanation:
Write the numbers in order from least to greatest.
43234, 43613, 43128, 43342
Answer:
43128, 43234, 43342, 43613
Step-by-step explanation:
yuh
Help plz im doing homework!!!!!
Find the sum of the measures of the interior angles of the indicated convex polygons.
1. 17-gon
2. 24-gon
Answer:
1. 17 - gon
sum of the of measures of interior angles = 180(n-2).....(formula)
here n = 17
therefore, 180(17-2)
= 180(15)
= 2700 degrees
2] 24 - gon
sum of the of measures of interior angles = 180(n-2).....(formula)
here n = 24
therefore, 180(24-2)
= 180(22)
= 3960 degrees.
If a train goes 20 km east then it turns and travels 43 km north then it goes 20 km west then travels south in an unknown number of kilometers and at the end there back in the original location how far did the train travel south
Answer:
Answer is 43 km.
Step-by-step explanation:
Let's draw diagram to solve the problem.
You need a loan for your new house that you want to buy. The amount you borrow is $550,000 and the annual interest rate is 2% for 30 years. How much interest do you need to pay?
Answer:
Step-by-step explanation:
Principle x Rate x Time
(550,000) (0.02) (360) = 3,960,000
Interest = 3,960,000
200s:4m simplest form
Answer:
50:1
Step-by-step explanation:
Tbh i guessed just try it
Answer:
5 : 6
Step-by-step explanation:
The quantities must have the same units
4 minutes = 4 × 60 = 240 seconds , then
200 s : 4 m
= 200 s : 240 s ( divide both parts by 40 )
= 5 : 6 ← in simplest form
the area of a triangle is 36cm squared. give three possible sets of dimensions for the triangle's base and height, explain whether you can also give the side lengths of the triangle
Answer:
1.
Set 1: b = 1, h = 72
Set 2: b = 2, h = 36
Set 3: b = 3, h = 24
2. Yes, you can accurately find the length of the sides.
Hope this helps. Have a nice day.
Perform the operation.
(8x2 – 7x – 2) – (6x2 – x + 3)
Answer:
2 x² - 6x -5
Step-by-step explanation:
Expansion:-
Given that the expression
(8x²-7x-2)-(6x²-x+3)
= 8x² - 6x² - 7x +x -2 -3
= 2 x² - 6x -5
637m as a fraction of 7.7km
Answer:
637/7700
Step-by-step explanation:
7.7 km = 7700 m
Forty-five percent of customers at a grocery store use a coupon. Let X = the number of customers selected at random before one is found who will use a coupon.
What are the mean and standard deviation of X?
Round each answer to 3 decimal places.
Mu Subscript x Baseline = StartFraction 1 Over p EndFraction =
Sigma Subscript x Baseline = StartFraction StartRoot 1 minus p EndRoot Over p EndFraction =
Answer:
mean = 2.222
Standard deviation = 1.648
Step-by-step explanation:
The answer
find the values of x and y.
Answer:
x= 60° , y = 60 °
Step-by-step explanation:
x = 60°
y = 60°
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
if you find it useful.
Molly is saving money in her ERHS bank account for her upcoming trip to Disney World. On the first day, she put in $34 and plans to add 8 more dollars each day. The Disney trip is in 187 days from the day he started saving. How much money will he have on the 187th day?
Answer:1522
Step-by-step explanation:
I used a calculator
PLZ GIVE BRANILY
Find the value of the variables
Answer:
Step-by-step explanation:
[tex]\text{Since there are two 45 degree angles.}\\ \\ a=4\sqrt{2}\\ \\ \text{By the Pythagorean Theorem }c^2=a^2+b^2,\text{ and in this case a=b so }\\ \\ c^2=2(4\sqrt{2})^2\\ \\ c^2=2(16)2\\ \\ c^2=64\| \\ c=\sqrt{64}\\ \\ c=8[/tex]
Please help! 19/20. Will give brainliest! Spam answers will not be tolerated! Giving quadruple points!
Factor. x²(x + 2) ‐ x(x + 2) ‐ 12(x + 2)
Answer:
(x + 2)(x - 4)(x + 3)Step-by-step explanation:
x²(x + 2) ‐ x(x + 2) ‐ 12(x + 2) =(x + 2)(x² - x - 12) = (x + 2)(x² - 4x + 3x - 12) = (x + 2)(x - 4)(x + 3)[tex]{ \sf{ factorise \: \: { \underline{ \green { \tt{ {x}^{2} (x + 2) - x(x + 2) - 12(x + 2)}}}}}}[/tex]
[tex]{ \sf{ \blue{ \:taking \: (x + 2) \: common}}} \\ \\{ \dashrightarrow { \sf{ \green{(x + 2)( {x}^{2} - x - 12)}}}}[/tex]
[tex]{ \dashrightarrow{ \sf{ \green{(x + 2)( {x}^{2} - (4x - 3x) - 12)}}}} \\ \\ { \dashrightarrow{ \sf{ \green{(x + 2)( {x}^{2} - 4x + 3x - 12)}}}}[/tex]
[tex]{ \dashrightarrow{ \green{ \sf{(x + 2)(x(x - 4) + 3(x - 4))}}}} \\ \\ { \dashrightarrow{ \underline{ \boxed{ \green{ \sf{(x + 2)(x + 3)(x - 4)}}}}}}[/tex]
2. Mr. Hoffman has a circular chicken coup with a radius of 2.5 feet. He wants to put a chain link fence around the coup to protect the chickens. Which measurement is closest to the length of fence he will need?
Answer: 15.7ft
Step-by-step explanation:
Answer:
15.7 ft
Step-by-step explanation:
took the test