Answer:
See below
Step-by-step explanation:
Step 1
x^2 – 30x = –125
-30/2 = -15
(-15)^2 = 225
Step 2
x^2 -30x+225 = -125+225
(x-15)^2 = 100
Step 3
Take the square root of each side
sqrt((x-15)^2) = sqrt(100)
Step 4
x-15 = ±10
x-15 =10 x-15 = -10
x= 10+15 x = -10 +15
x = 25 x = 5
please help, will give brainliest!!!
Answer:
≈ 0.19
Step-by-step explanation:
So first, we find the probability of getting 1 yellow marble (the formula is the number of amount of type over the total number of items), which is:
10/(6+10+5+1)
= 10/22
= 5/11.
So getting a yellow marble on the first try is 5/11 likeliness.
Now, for the second one, we do the same except that you are NOT putting it back into the bag, which means we have to subtract the yellow marble you already took AND ALSO ONE FROM THE TOTAL AMOUNT OF YELLOW MARBLES.
To find the probability of getting the second marble, our equation is:
9/(6+9+5+1)
= 9/21
= 3/7.
Lastly, to find the probability of getting them both consecutively, we multiply the two results.
5/11 * 3/7
= 15/77
≈ 0.19
I hope this helped! :D
Please help out explanation need it
Answer:
156m^2
Step-by-step explanation:
I dont know what you mean by "each figure," but if you need the surface area for the rectangular prism, then the answer is 156, because the top square has a surface area of 3*6, then it equals 18, and the bottom square is the same, so it is also 18, 18*2=36
The 4 rectangle on the side are all the same, and they are all 10x3 which is 30, so 30*4 because there are 4 rectangles, equals 120.
120+36=156. The surface area of the rectangle is 156m^2
Consider the following points. (−4, −1) and (4, 2) Let Y'O' be the image of YO after a reflection across line . Suppose that ′ is located at (1, 4) and ′ is located at (−2, −4). Which of the following is true about line ?
The line was reflected about the line y = -x.
-----------------------------------------
This question is solved using reflection concepts.
There are various kinds of reflections, 90º clockwise about the origin, 90º counterclockwise, among other, and each of them has a rule.
-----------------------------------------
In this question:
Point (-4,-1) became (1,4).Point (4,2) became (-2,-4).From this, we have the following rule: (x,y) -> (-y,-x)
Checking the rules, it can be said that the line was reflected about the line y = -x.
A similar question can be found at https://brainly.com/question/16130908
Find the measure of each angle indicated.
A) 25°
C) 35°
B) 45°
D) 40°
Answer:
here's the answer to your question
Answer:
D) 40
Step-by-step explanation:
To solve the question you can use the knowledge that every triangle has a total of 180 degrees. Two of the angles are known one is 50 and the other is 90. We know one is 90 because of the square around the angle. Then, you can set up an algebraic equation to solve. We know that 50+90+x=180, so solve for x for the final answer of 40.
8. What is the solution to 4(1/2x+7)=12?
Answer:
x=-8
Step-by-step explanation:
4(1/2x+7)=12
Divide each side by 4
4/4(1/2x+7)=12/4
(1/2x+7)=3
Subtract 7 from each side
1/2x+7-7=3-7
1/2x = -4
Multiply each side by 2
1/2x*2 = -4*2
x = -8
Answer:
-8
Step-by-step explanation:
Divide both sides by 4 which will give you 1/2x+7=3
Then multipy both sides by 2 which will then give you x+14=16
Then move the constant = x=6-14
6-14 is -8 which will give you x=-8
Can some one help me answer this
7. √9
√9 is a rational number because √9 = 3 = 3/1.
8. No, there is no integer between -6 and -7.
9. π
π is an irrational number
In the PQRS triangle PQ=QR, QR side extended to S Show that PQ+RS=QS. -S Q R
pls explain too
Answer:
Step-by-step explanation:
from the picture:
QP = QR
and
QR = RS
so
PQ + RS = QS
3(t-3)=5(2t+1) solve the following linear equations
Step-by-step explanation:
3(t-3)=5(2t-1)
= 3t-9=10t-5
= 3t-10t = -5+9
= -7t = 4
= -t = 4/7
= - 4/7 Answer
hope it helps
Write down at least five number pairs to solve the equation vw = 50
Answer:
1, 50
2, 25
5, 10
10, 5
25, 2
Answer:
Step-by-step explanation:
V W
1 x 50 = 50
1.5 x 33 1/3 = 50
2 x 25 = 50
2.5 x 20 = 50
3 x 16 2/3 = 50
3.5 x 14 2/7 = 50
4 x 12 1/2 = 50
4.5 x 11 1/9 = 50
5 x 10 = 50
5.5 x 9 = 50
6 x 8 1/3 = 50
6.5 x 7 2/3 = 50
7 x 7 1/7 = 50
7.5 x 6 2/3 = 50
8 x 6 1/4 = 50
8.5 x 5 8/9 = 50
9 x 5 5/9 = 50
9.5 x 5 1/4 = 50
10 x 5 = 50
10.5 x 4 3/4 = 50
11 x 4 5/9 = 50
11.5 x 4 1/3 = 50
12 x 4 1/6 = 50
12.5 x 4 = 50
13 x 3 6/7 = 50
13.5 x 3 5/7 = 50
14 x 3 4/7 = 50
23. What are the roots of the quadratic equation seen below?
f(x) = x? - 16x + 60
(A) x = 6, 10
(B) x =-6, 10
(C) x =- 10, 6
(D) x =- 10,- 6
find the missing segment in the image below
Answer:
3
Step-by-step explanation:
Intercept theorem
DE // CB ⇒ [tex]\frac{AD}{AC} = \frac{AE}{AB}[/tex]
⇒ [tex]\frac{6}{6+?} =\frac{4}{4+2}[/tex]
⇒ ? = 3
working alone, aliyah can dig a 10ft by 10 ft hole is 6 hours. one day her friend eugene helped her and it only took 3.75 hours. how long would it take eugene to do it alone? disclaimer: the answer is 11.95 hours, but i keep getting 10. please use the 1/x+1/y=1/z strategy
Answer:
I think the answer is 10 hours
the 11.95 seems wrong
Step-by-step explanation:
[tex]\frac{1}{6} + \frac{1}{y} = \frac{1}{3.75}[/tex]
multiply by 22.5 y
3.75 y + 22.5 = 6y
y = 10
Write an expression in simplified form for the area of each rectangle. Width: 11 Length: 3x+2
Answer:
33x+22
Step-by-step explanation:
The area of a rectangle is
A = l*w where l is the length and w is the width
A = 11(3x+2)
Distribute
= 33x+22
Area of rectangle = Length * Width
Length is 3x+2Width is 11⇛Area = 11(3x+2)
⇛Area = 33x + 22
Geometry, please answer my question ASAP
Answer:
98 degrees
Step-by-step explanation:
The angles of a quadrilateral add up to 360 degrees, therefore:
(25x+1)+(25x-2)+(20x-1)+82=360
70x +80=360
70x=280
x=4
the angle at C:
25*4-2 = 98 degrees
A net is a two-dimensional pattern that can be folded to form a three-dimensional surface. T/F
Answer: True
Explanation:
Consider a 3D cardboard box that you can unfold. It would unfold into a 2D net that you can then re-fold back into its 3D form. The 2D net is useful to help visualize and calculate the surface area. The surface area is simply the total area of all the external faces.
PLEASE HELP IM TRYING TO FINISH THIS BY NEXT MONDAY AND IVE BEEN STUCK ON THIS
Answer:
Step-by-step explanation:
Choice A is the only one that is applicable.
Answer:
A. F(x) has 1 relative minimum and maximum.
Step-by-step explanation:
[tex]{ \bf{F(x) = 2 {x}^{3} - 2 {x}^{2} + 1 }}[/tex]
As x and F(x) tend to positive and negative infinity:
[tex]{ \sf{x→ \infin : f(x) = \infin}} \\ { \sf{x→ {}^{ - } \infin : f(x) → {}^{ - } \infin}}[/tex]
❎So, B and C are excluded.
Roots of the polynomial:
[tex]{ \sf{f(x) = 2 {x}^{3} - 2 {x}^{2} + 1}} \\ { \sf{f(x) = - 0.6 \: \: and \: \: 0.8}}[/tex]
❎, D is also excluded.
✔, A
what are examples of like terms
Answer:
7x and 2x. 3x^2 and -7x^2.
Step-by-step explanation:
7x and 2x both have x. 3x^2 and -7x^2 both have x^2.
Calculate the area of each shape
Answer:
a) 3x² + 7x + 2
b) 4x² + 2x - 12
c) x² + 8x + 12
d) π (16x² + 144)
Step-by-step explanation:
a) Rectangle
A = bh
A = 3x + 1 (x + 2)
A = 3x² + 6x + 1x + 2
A = 3x² + 7x + 2
b) Parallelogram
A = bh
A = 2x + 4 (2x - 3)
A = 4x² + (-6x) + 8x + (-12)
A = 4x² + 2x - 12
c) Trapezoid
A = a + b/2 (h)
A = [(x + 3) + (x + 9)]/2 (x + 2)
A = (2x + 12)/2 (x + 2)
A = x + 6 (x + 2)
A = x² + 2x + 6x + 12
A = x² + 8x + 12
d) Circle
A = πr²
A = π (4x + 12)²
A = π (16x² + 144)
This will be you're simplest answer unless you multiple 16x² + 144 times pi (π) and round.
Write an equation in point-slope form of the line that passes through the given point and has the given slope.
(16,-4);m=-3/4
Help. ME. confused!
indentify the explicit function for the sequence in the table
Answer:
Option B
a(n) = 8 + (n-1) • 6
Answered by GAUTHMATH
50 apples cost 25$ how much would 75$ apples cost?
Answer:
100
Step-by-step explanation:
Hey there!
First, to find the cost of one apple, 50 ÷ 25, which equals 2.
At this point, i am not very sure if you meant to say 75 apples, or $75 apples, so I am just going to give both solutions.
If you meant 75 apples: 75 x 2 = $150
If you meant $75 apples: $75 ÷ 2 = 37.5
Since it isn't realistic to buy 37 apples and one half, round it to 37 apples.
Hope this helps!
Have a great day!
The 12th term of the arithmetic sequence is 10.5. The 18th term of this sequence is 13.5. Find the common difference and the first term.
let the n'th term be called x, and the value of the term y,
then there is a function y=a*x + b
that will give us all term we want.
this formula is also used for straight lines.
we just need a and b. we already got two data points. we can just plug the known x/y pairs into the formula
10.5 = a*12 + b
13.5 = a*18 + b
now lets manipulate these lines.
multiply the first line by 3 and the second line by 2
31.5 = a*36 + 3b
27 = a*36 + 2b
subtract the second line from the first line
4.5 = b
yey, we now know b, let's plus b into either line from above, I'll go with the first one, looks easier.
10.5 = a*12 + 4.5
6 = a*12
0.5 = a
now y=a*x + b can be filled with a and b
y = 0.5 * x + 4.5
for x=1 (the first term) it's f(1)=5
each step is 0.5, hence the common difference.
2and way:(13.5-10.5)/(18-12)
= 3 / 6
= 0.5
we got the comment difference by looking at the full difference over 6 steps and divined by these 6 steps.
from step 12 to step one it's 11 steps down
10.5 - 0.5*11
= 10.5 - 5.5
= 5
okay I admit... 2and way to do it might be faster and more intuitive... :DSolve for ggg.
-3+5+6g=11-3g−3+5+6g=11−3g
Answer:
-3 + 5 + 6 g = 11 - 3 g - 3 + 5 + 6 g = 11 - 3 g
6 g + 2 = 3 g + 13 = 11 - 3 g
{g = 11/3, g = 1, g = -1/3}
{3 g = 11, g = 1, 3 g + 1 = 0}
{3 g + 13 = 2 (3 g + 1), 11 - 3 g = 2 (3 g + 1), 11 - 3 g = 3 g + 13}
given m||n, find the value of x
Answer:
x = 155º
Step-by-step explanation:
y = 25° {Vertically opposite angles}
x + y = 180 {Co-interior angles are supplementary}
x + 25 = 180
Subtract 25 from both sides
x = 180 - 25
x = 155°
Find a 2-digit number smaller than 50, the sum of whose digits does not change after being multiplied by a number greater than 1
The only 2-digit number that is lesser than 50 and the sum of its digits remain unaffected despite being multiplied by a number < 1 would be '18.'
To prove, we will look at some situations:
If we add up the two digits of 18. We get,
[tex]1 + 8 = 9[/tex]
And we multiply 18 by 2 which is greater than 1. We get,
[tex]18[/tex] × [tex]2 = 36[/tex]
The sum remains the same i.e. [tex]3 + 6 = 9[/tex]
Similarly,
If 18 is multiplied to 3(greater than 1), the sum of the two digits comprising the number still remains the same;
[tex]18[/tex] × [tex]3 = 54[/tex]
where (5 + 4 = 9)
Once more,
Even if 18 is multiplied to 4 or 5(greater than 1), the sum of its digits will still be 9.
[tex]18[/tex] × [tex]4 = 72[/tex]
[tex](7 + 2 = 9)[/tex]
[tex]18[/tex] × [tex]5 = 90[/tex]
[tex](9 + 0 = 9)[/tex]
Thus, 18 is the answer.
Learn more about 'numbers' here: brainly.com/question/1624562
96 Children are on a school trip, there
are 7 seats in a mini bus. How many
mini bus are needed?
Triangle LMN is dilated by a scale factor of 2/3 to form triangle L’M’N. Side NL measures 48. What is the measure of side N’L’?
Olympia ate lunch at a restaurant. The amount of her check was $6.89. She left $8.00 on the table, which included the amount she owed plus a tip for the waiter. Which equation shows t, the amount of her tip, in dollars?
6.89 + t = 8.00
6.89 - t = 8.00
6.89t = 8.00
6.89 = 8.00 Divided by t
Answer:
not sure if the answer is obvious but I'd say $6.89 + t = $8.00
Step-by-step explanation:
so to make it more understandable you have to first go over the question and ask your self is the tip included in the totally amount owed or is it apart
after you figure out that its apart all you have to do is plug in the numbers you could verify this by checking every equation like this
$6.89 + t = $8.00 (t) in this case is the tip which would be $1.11 all you do to arrive at that answer is subtract the amout owed from the amount given like this $8.00 - $6.89 = $1.11 which will be your tip
now continue checking your answer next is , $6.89 - t = $8.00
which would be $6.89- $1.11 = $5.78 not quite right because now she is short on the pay , on to the next its $6.89t= $8.00 which would be $6.89 x $1.11= $7.65 rounded to neartest tenth which would included the amount but not all the tip given meaning tip would be short 0.35 cents and finally $6.89= $8.00 divided by t , now this takes the amount give which is $8.00 and divides by t which is $1.11 doing this $6.89 = $8.00/$1.11 which it is trying to imply that $6.89 is equal to $7.21 which would be incorrect making the only reasonable equation $6.89 + t = $8.00 reaveling that the tip given was $1.11
hopefully that help maybe i can get brainlist?!
Answer:
6.89 + t = 8.00
Step-by-step explanation:
it's A
Edge 2021
Factories (x+2y)^3+(x-2y)^3
With full explanation
Answer:
[tex]\boxed{=2x(x^2+6y^2)}[/tex]
Step-by-step explanation:
Remember:
[tex](a+b)(a-b)=a^2-b^2\\\\a^3+b^3=(a+b)(a^2-ab+b^2)\\\\\\(x+2y)^3+(x-2y)^3\\\\=(x+2y+x-2y)((x+2y)^2-(x+2y)(x-2y)+(x-2y)^2)\\\\=2x(x^2+4xy+4y^2-(x^2-4y^2)+x^2-4xy+4y^2)\\\\=2x(x^2+6y^2)\\[/tex]
