2a , 1st exp= a2 + ab
= a(a+b)
2nd exp = a2-b2
= (a+b) (a-b)
HCF = (a+b)
b, 1 st exp= (a+b)2
= (a+b)(a+)
2 nd exp = a2-b2
= (a+b) ( a-b)
HCF = (a+b)
c, 1 st exp= (a-1)2
= (a+1) (a-1)
2nd exp= a2-1
= (a+1)(a-1)
HCF = (a-1)
d, 1st exp= (x-2)(x-3)
= x(x-3)-2(x-3)
= x2 - 3x - 2x + 6
= x2- 5x+ 6
= x2 - (3+2)x + 6
=x2 -3x-2x+ 6
= x(x-3) -2(x-3)
=(x-3)(x-2)
2 nd exp = (x+2) (x-3)
= x( x-3) + 2 (x-3)
= x2 - 3 x+ 2x -6
= x(x-3) + 2(x-3)
=(x-3) ( x+ 2)
HCF = (x-3)
Which statement explains the type of function that is represented by the equation
y=x2 + 9?
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 value of the expression x3−y3+x2+y2+3 by substituting x=−2 and y=1.
[tex]\\ \sf\dashrightarrow x^3-y^3+x^2+y^2+3[/tex]
[tex]\\ \sf\dashrightarrow (-2)^3-(1)^3+(-2)^2+(1)^2+3[/tex]
[tex]\\ \sf\dashrightarrow -8-1+4+1+3[/tex]
[tex]\\ \sf\dashrightarrow -9+8[/tex]
[tex]\\ \sf\dashrightarrow -1[/tex]
Answer: -1
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
Given information
x = -2
y = 1
Given expression
x³ - y³ + x² + y² + 3
Substitute values into the expression
=(-2)³ - (1)³ + (-2)² + (1)² + 3
Simplify exponents
=-8 - 1 + 4 + 1 + 3
Simplify by simple operation (addition/subtraction)
=-9 + 4 + 1 + 3
=-5 + 1 + 3
=-4 + 3
=[tex]\boxed {-1}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
The teacher's helper was putting cookies onto plates. He put 1 cookie on the first plate, 4 cookies on the second plate, 16 cookies on the third plate, and 64 cookies on the fourth plate. What kind of sequence is this?
Answer:
Geometric sequence
Step-by-step explanation:
A geometric sequence involves each number after the first one being multiplied by a specific number, called the common ratio.
This situation is a geometric sequence, where the common ratio is 4.
For example, there are 4 cookies on the second plate, 16 on the third, and 64 on the fourth. To get each number, the previous number is multiplied by 4.
So, this is a geometric sequence.
If he placed one cookie on the first dish, four on the second, sixteen on the third, and sixty-four on the fourth. A geometric sequence is a type of sequence.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity,
It is given that the educator placed one cookie on the first dish, four cookies on the second, sixteen cookies on the third, and sixty-four cookies on the fourth.
Each number following the first in a geometric sequence is multiplied by a particular number, known as the common ratio. The common ratio in this situation, which is a geometric sequence, is 4.
The second dish, for instance, has four cookies, the third, sixteen, and the fourth, sixty-four. Each number is obtained by multiplying the preceding number by four.
Thus, if he placed one cookie on the first dish, four on the second, sixteen on the third, and sixty-four on the fourth. A geometric sequence is a type of sequence.
Learn more about the sequence here:
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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
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
Find the distance on the number line between 14.3 and 4.1.
[tex]\\ \sf\longmapsto 14.3-4.1[/tex]
[tex]\\ \sf\longmapsto \dfrac{143}{10}-\dfrac{41}{10}[/tex]
[tex]\\ \sf\longmapsto \dfrac{143-41}{10}[/tex]
[tex]\\ \sf\longmapsto \dfrac{102}{10}[/tex]
[tex]\\ \sf\longmapsto 10.2[/tex]
prove that the line x-y=0 bisect the line segment joining the point (1,6) and (4, -1)
Step-by-step explanation:
x-y=0(l.6)-(4.-1)(6-4)-(1--1)2--2=0Calculate 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.
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°
when Rons truck was full, it weighed 7.5 tons. The weight he carried at that time was 3.25 tons. How many tons does Ron's truck weigh when it is empty?
7.5-3.25=4.25 tons.
The truck weights 4.25 tons.
Check with other answers, although I'm pretty sure its correct.
Heart if helpful :D
A 3cm x 2cm rectangle sits inside a circle with a radius of 4cm
What is the area of the shaded region
round your final answer to the nearest hundredth
The area of the shaded region is 44.24\ cm^{2}44.24 cm2
Step-by-step explanation:
we know that
The area of the shaded region is equal to the area of the circle minus the area of rectangle
step 1
Find the area of circle
The area of the circle is equal to
A=\pi r^{2}A=πr2
we have
r=4\ cmr=4 cm
substitute
A=\pi (4)^{2}A=π(4)2
A=16\pi\ cm^{2}A=16π cm2
step 2
Find the area of rectangle
The area of rectangle is equal to
A=(3)(2)=6\ cm^{2}A=(3)(2)=6 cm2
step 3
Find the difference
16\pi\ cm^{2}-6\ cm^{2}16π cm2−6 cm2
assume
\pi=3.14π=3.14
16(3.14)\ cm^{2}-6\ cm^{2}=44.24\ cm^{2}16(3.14) cm2−6 cm2=44.24 cm2
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.
How many sides does a regular polygon with 45° exterior angles have?
Numerical answer only.
Answer:
8 sides (octagon)
Step-by-step explanation:
sum of exterior angles is always 360º
360 / 45 = 8 sides
Answer:
8 sides
Step-by-step explanation:
If all the angles of the polygon are the same, divide the angle by 360 and u get the answer.
Full working out for this question please.
Answer:
d 28.8cm2
Step-by-step explanation:
1/2BH
1/2() 12.8() 4.5
28.8
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.
96 Children are on a school trip, there
are 7 seats in a mini bus. How many
mini bus are needed?
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
Write 0.0406 in scientific notation.
Answer:
4.06×10^-2
hope that helps uh..☺
Answer:
Ans; 0.0406 = 4.06 ×10–²
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
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
I need help I need help
Answer:
[tex]{ \boxed{ \bf{c}}} \: \: \frac{3.8}{4} = s[/tex]
Step-by-step explanation:
[tex]{ \tt{4 \: pies \: = \: 3.8 \: ounces}} \\ { \tt{1 \: pie \: = \: ( \frac{1}{4} \times 3.8) \: ounces}} \\ { \tt{ = 0.95 \: ounces}}[/tex]
[tex]{ \underline{ \sf{ \blue{christ \: † \: alone}}}}[/tex]
What are the steps involved in multiplying/ dividing rational expressions??
Answer:
Multiplication:
Step 1: Factor both the numerator and the denominator.
Step 2: Write as one fraction. Write it as a product of the factors of the numerators over the product of the factors of the denominators. DO NOT multiply anything out at this point.
Step 3: Simplify the rational expression.
Step 4: Multiply any remaining factors in the numerator and/or denominator.
Division:
Step 1: Completely factor both the numerators and denominators of all fractions.
Step 2: Change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal.
Step 3: Cancel or reduce the fractions. Remember that to reduce fractions; you can cancel something in the numerator with something in the denominator, but in order to cancel something in the numerator and denominator the two factors must be EXACTLY the same.
Step 4: Rewrite the remaining factor. Notice that you do NOT need to actually multiply anything in the numerator or denominator.
Brian scored 120 on his test the first time he took the test. The second time he took the test,
he scored 150. By what percentage did Brian increase his score?
a. 20%
b. 25%
c. 80%
d. 125%
Answer:
b. 25%
Step-by-step explanation:
(new - old)/ old * 100%
150 - 120 = 30 ... 30/120 = .25 * 100% = 25%
Answer:
25% increase
Step-by-step explanation:
Take the new amount and subtract the original amount
150-120
30
Divide this by the original amount
30/120
1/4
.25
Multiply by 100%
25%
How would I answer this: How many minutes are in a 30-day month.... use vertical multiplication to get the right answer
Answer:
43,200 minutes in 1months or 30 days
There are 43200 minutes in one month.
What is multiplication?The basic explanation of multiplication is adding a number, with respect to another number, repeatedly.
Given that, How many minutes are in a 30-day month,
We have, 60 minutes in 1 hour
And, 24 hours in 1 day,
Then, number of minutes in 1 day = 60 × 24 = 1440 minutes
Therefore, in 1 month = 1440 × 30 = 43200 minutes
Hence, there are 43200 minutes in one month.
Learn more about multiplication, click;
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Can the sides of a triangle have lengths of 42, 45, and 13? If so, what kind of triangle is it?
Answer:
obtuse
Step-by-step explanation:
45^2 = 2025
42^2 = 1764
13^2 = 169
169+1764=1933
2025 > 1933
therefore it is an obtuse triangle
Help fast pleaseeeeeeee
Step-by-step explanation:
-2. = [tex] \frac{1}{49} [/tex]-1 = [tex] \frac{1}{7} [/tex]0 = 11. = 72. = 493 different problems.
solve b - 4 = 3.
solve -32 = 8w
solve n
— = -4
7
Answer:
see below
Step-by-step explanation:
b - 4 = 3
Add 4 to each side
b - 4+4 = 3+4
b = 7
-32 = 8w
Divide by 8
-32/8 = 8w/8
-4 = w
n/7 = -4
Multiply by 7 to each side
n/7 *7 = -4*7
n = -28
A sinusoidal graph has an amplitude of 9 and a midline of y = –2. Determine
the range of the graph.
Answer:
[tex]( - 11.7)[/tex]
Range 18
Step-by-step explanation:
Twice the amplitude.
Can anyone tell me why by direct substitution of x, the equation (circled ones) equals to the indeterminate form, 0/0? When you can do x²-k=6 something like that
Answer:
See explanation and hopefully it answers your question.
Basically because the expression has a hole at x=3.
Step-by-step explanation:
Let h(x)=( x^2-k ) / ( hx-15 )
This function, h, has a hole in the curve at hx-15=0 if it also makes the numerator 0 for the same x value.
Solving for x in that equation:
Adding 15 on both sides:
hx=15
Dividing both sides by h:
x=15/h
For it be a hole, you also must have the numerator is zero at x=15/h.
x^2-k=0 at x=15/h gives:
(15/h)^2-k=0
225/h^2-k=0
k=225/h^2
So if we wanted to evaluate the following limit:
Lim x->15/h ( x^2-k ) / ( hx-15 )
Or
Lim x->15/h ( x^2-(225/h^2) ) / ( hx-15 ) you couldn't use direct substitution because of the hole at x=15/h.
We were ask to evaluate
Lim x->3 ( x^2-k ) / ( hx-15 )
Comparing the two limits h=5 and k=225/h^2=225/25=9.
