Answer:
Step-by-step explanation:
Factorize the expression.
Sum = 7
Product = 12
Factors = 4 , 3
4 + 3= 7 & 4*3 = 12
x² + 7x + 12 = x² + 4x + 3x + 4*3
= x(x + 4) + 3(x + 4)
= (x + 4)(x + 3)
Sum = -1
Product = -12
Factors = (-4) , 3
(-4) + 3 = (-1) & (-4)*3 = -12
x² - x - 12 = x² - 4x + 3x - 4*3
= x(x - 4) +3(x - 4)
= (x -4)(x +3)
[tex]\sf \dfrac{x^{2}+7x+12}{x^{2}-x-12}=\dfrac{(x+4)(x + 3)}{(x -4 )(x + 3)}\\\\\bf \text{(x +3) in the numerator and denominator will get cancelled}[/tex]
[tex]=\dfrac{x+4}{x-4}[/tex]
Answer:
B
Step-by-step explanation:
|x+3| if x=2 please help i have rsm
Answer:
5
Step-by-step explanation:
|x+3| =
|2+3| =
|5| =
5 =
Answer: 5
Step-by-step explanation:
If x = 2, the numbers in the brackets should now be 2 and 3.
2+3 = 5.
Because having numbers in brackets like these | | means absolute value, the number you get is always a positive number.
Find the perimeter of the figure.
Which of the following can we use to determine if a data set represents a function? There may be more than one answer.
A. Vertical line test
B. Make sure “y” values do not repeat
C. Make sure there is one and only one input for each output
D. Make sure each x-value has more than one y-value
E. Make a table to determine the numbers in the domain appear only once.
Answer:
A, B,C, and E. I hope this helps.
Step-by-step explanation:
The perimeter of a miniature football field is 60 inches. If the width of the field is 11 inches, calculate its length.
Answer:
The length is 19 inches
Step-by-step explanation:
Step 1: Determine the length
Perimeter = 2(L + W)
Step 2: Solve for L
60 /2 = 2(L + 11) / 2
30 - 11 = L + 11 - 11
19 = L
Answer: The length is 19 inches
Answer:
19 inchesStep-by-step explanation:
Perimeter : 2(L + W) = 60
L + W = 30L + 11 = 30L = 30 - 11L = 19 inchesPlease answer this as soon as possible!!
Answer:
Step-by-step explanation:Given
-3+(-5)
-3+(-5)=-3-5=-8
Observing option A.) -3+-(-5)=-3+5=2
Observing option B.)-3+5=2
Observing option C.)-5-(-3)=-5+3-2
Observing option D.)-5-(-3)=-5+3=-2
It doesn’t seem that any option is correct maybe ask your teacher show them this or something
6 divided by 7215 and i need help its to hard????
Answer:
If you mean 6 / 7215 it is 0.00083
but if you meant 7215 / 6 it is 1202.5
Step-by-step explanation:
factor the expression 14x+13-8x-1
Answer:
2(11x+6)
Simplify to 22x + 12
Greatest common factor is 2
2x11x = 22
2x6 = 12
The height of a triangle is 4 feet less than the length of its base, b. The area of the triangle is 30 square feet.
Find the base and the height of the triangle.
Step-by-step explanation:
h=b-4
A=30ft^2
A=1/2bh
30=1/2b(b-h)
Cross Multiply
60=b(b-4)
60=b^2-4b
b^2-4b-60=0
Factorise the equation
(b^2+6) (-10b-60)
b(b+6)-10(b+6)
(b-10) (b+6)
b-10=0 or b+6=0
b=10 or b=-6
base =10 (since measurement can not be negative)
h=b-4
Sub the value of b
h = 10-4
h=6
So the height is 6ft and base is 10ft
Solve the equation using the method of completing the square.
3x2 + 24x – 24 = 0
Answer:
Logical first step: divide everything by
3
Explanation:
→
x
2
−
8
x
+
8
=
0
Completing the square would mean: taking half of the
x
-coefficient and squaring that:
x
2
−
8
x
+
(
−
4
)
2
=
x
2
−
8
x
+
16
=
(
x
−
4
)
2
But we still have to balance the
16
with the
8
we had:
→
x
2
−
8
x
+
16
→(x−4)2−8=0→(x−4)2=8
So
x-4=√8=2√2→x=4+2√2
Or
x−4=−√8=−2√2→x=4−2√2
Often written as x1,2=4±2√2
The solution of the given quadratic equation by completing the square method are [tex]2\sqrt{6} -4 \ or -2\sqrt{6} -4[/tex].
What is completing the square method?Completing the square method is factorizing a quadratic equation, and henceforth finding the roots or zeros of a quadratic polynomial or a quadratic equation.
According to the given question.
We have a quadratic equation
[tex]3x^{2} + 24x - 24 = 0[/tex]
The above quadratic equation can be written as
[tex]3(x^{2} + 8x - 8) = 0[/tex]
[tex]\implies x^{2} + 8x -8= 0[/tex]
Now, we will solve the above equation by completing the square method.
[tex]x^{2} +8x - 8= 0[/tex]
[tex]\implies x^{2} + 2(4x) +(4)^{2} -(4)^{2} -8 = 0[/tex]
[tex]\implies x^{2} + 2(4x) + 16 - 16 -8 = 0[/tex]
[tex]\implies (x+4)^{2} - 24=0[/tex]
[tex]\implies (x+4)^{2} = 24[/tex]
[tex]\implies (x+4)^{2} = 24[/tex]
[tex]\implies (x+4) = \sqrt{24}[/tex]
[tex]\implies x+ 4 = \pm 2\sqrt{6}[/tex]
[tex]\implies x = 2\sqrt{6} -4 \ or -2\sqrt{6} -4[/tex]
Hence, the solution of the given quadratic equation by completing the square method are [tex]2\sqrt{6} -4 \ or -2\sqrt{6} -4[/tex].
Find out more information about completing the square method here:
https://brainly.com/question/26107616
#SPJ2
Giving out brainliest!! Help?
Answer:
(8/3,11/3) is the centroid of the given triangle
pls do mention in comment if u need full solution
Answer:
(8/3, 11/3)
Step-by-step explanation:
Formula of the centroid
(x, y) = [(x₁ + x₂ + x₃)/3, (y₁ + y₂ + y₃)/3]Points
(-2, 3)(6, 7)(4, 1)Solving :
Centroid = [(6 + 4 - 2)/3, (3 + 7 + 1)/3]Centroid = (8/3, 11/3)Y={2x-1)(x+4)(2x-3)(x-1)
Answer:
Y =4x^4 + 4x^3 − 37x^2 + 41x −12
Step-by-step explanation:
Y = (2x - 1 ) (x + 4) (2x - 3) (x - 1)
Using commutative property we can re-arrange RHS,
Y= (2x - 1) (2x - 3) (x + 4) (x - 1)
Using the property
[(x+a) (x+b) = x^2 + (a+b)*x +ab],
Y =
[(2x)^2 + (-1 - 3)*2x + (-1 )*(-3)] [x^2 + (4 - 1)*x + 4*(-1)]
From here onwards I would recommend u to do the calculation by your own bc I might have made mistakes
in the steps but I got right but still just check yourself if u copy all the steps as it is
Y = (4x^2 -8x + 3) (x^2 + 3x -4)
Y = 4x^4 + 12x^3 - 16x^2 -8x^3 -24x^2 + 32x + 3x^2 + 9x - 12
Y = 4x^4 + 4x^3 -37x^2 + 41x - 12
Here I got the answer right so my calculations will also might be right
I checked my answer if it's right using an app called "MathPapa" and it's a great app to solve algebra questions like urs. The screenshot of the answer using this app is here on the top. This is the longest question I have solved for anyone, bye and have a nice day ahead!
The dimensions of a rectangular prism are 26 inches by 10 inches by 8 inches. What is the surface area, in square inches, of the prism?
The surface area of this rectangular prism of dimensions 26 inches by 10 inches by 8 inches is 1096 square inches.
What is the surface area of this rectangular prism?A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.
The surface area of this rectangular prism = 2( lb + bh + hl)
The dimensions of a rectangular prism are 26 inches by 10 inches by 8 inches.
The surface area of this rectangular prism = 2( lb + bh + hl)
= 2( 26 x 10 + 10 x 8 + 26 x 8)
= 2(260 + 80 + 208)
= 2 x 548
= 1096
Thus, The surface area of this rectangular prism is 1096 square inches.
Learn more about the area;
https://brainly.com/question/6754997
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The length of a window in Andrew’s house is 4 feet and its height is 3 feet. What is the diagonal length of the window?
Answer:
5 feet
Step-by-step explanation:
Hello!
We can use the Pythagorean theorem to solve this.
Formula: a² + b² = c²
a and b are sidesc is the hypotenuse/diagonalSolve:
a² + b² = c²4² + 3² = c²16 + 9 = c²25 = c²c = 5The diagonal is 5 feet.
Answer:
B) 5 ft
Step-by-step explanation:
PLEASE ANSWER ASAP WILL MARK BRAINLIEST
Answer:
the first one is the answer
does (-1, 2), (1, 1),( 1 -1), (2,1), (4,2) represent y as a function
No. A function maps one input to exactly one output. The given relation maps 1 to both 1 and -1, as indicated by the pairs (1, 1) and (1, -1).
Please solve the missing parts
Answer:
34 28 37 56 34 37 28 20 43 15
Help help math math math
Answer: T-R
Step-by-step explanation:
write each of the following expressions without using absolute value
|y-x| if y>x
Answer:
y can only be greater than x if x has a variable less than y so the answers is ly- lx
Step-by-step explanation:
What is the volume of the cylinder below? 5 4 6 O A. 60 units 3 B. 967 units 3 O C. 80 units 3 D. 120 units 23
Answer:
B. 967 units is the answer
Answer:
C
Step-by-step explanation:
Solve the equation for x.
X-5 = 11
Enter the number that belongs in the green box.
x = [?]
Enter
Mr. Borden also asked his students, How do you get to school each day ? Is this question statistical? Explain.
Answer:
That question is statistical because there can be multiple answers such as, biking, walking, carpooling, and taking a bus.
Step-by-step explanation:
The scatter plot shows the number of visitors to a beach and the high temperature for 25 days. To understand the trend of the data, does it make sense to connect all of the data points? What could you do to the graph to represent the general trend of the data? Why?
Answer:
Yes it does.
Step-by-step explanation:
I gives an estimate of what the weather is.
please help!!!!!!!!!!
Answer:
false true false false
Given the recursive formula shown, what are the first 4 terms of the sequence?
Step-by-step explanation:
Answer is option A
f(1)=3
f(2)=f(2-1)+4=f(1)+4=3+4=7
... So on
Hence the series would be 3,7,11,15,..
The required first four terms are 3,7,11,15
I hope it helped you
Answer: the answer is a
3,7,11,15 (+4 each time )
Step-by-step explanation: we are adding 4 each time .Hope it helps .
Which real-world scenario involves a right triangle?
Answer:
Step-by-step explanation:
Medical treatments that involve laser beams.
We can measure how far we put perpendicular the laser beam to a patient skin and we can calculate using right triangles how wide the beams go to only target certain cells (like cancer cells.)
Raymond caught the football 28 out of 35 times at practice. Predict the number of times he will catch the football during the game if it is thrown to him 20 times.
Answer:
16 times
Step-by-step explanation:
This problem is solved by ratio. Since the ratio of 28 out of 25 times is 4:5, he has to catch the ball 4:5 or 4 of 5 times. You multiply both 5 and 4 by 4, because that's how many times he's gonna catch it. 4 x 4 = 16, so the answer is 16 times.
Answer:
(4/5)^20
Step-by-step explanation:
1) First, write the numbers of times Raymond caught the football out of 35 attempts. This is a necessary step in order to obtain an appropriate operand.
28
35
2) Reduce the fraction to lowest terms. This is an optional step but it simplifies the problem.
28 / 4
35 4
= 4
5
3) Raise the fraction to the 20th power. If the ball is thrown at him 20 times, the probability of him successfully catching the ball must be (4/5)^20.
= (4)^2
(5)
The hours students reported practicing their instruments last grading quarter were 29, 20, 36, 44, 30, 32, and 40.
The mean hours students reported practicing their instruments is
.
The mean absolute deviation for the data is
.
Answer:
The mean is 33 and the MAD is 6.
Step-by-step explanation:
I took it on edge and got it right. Sorry I don't have a better explanation.
The person above me is correct.
Step-by-step explanation:
HELP ME OUT PLS!!!!!!!!
The total cost for one year at the state university is $22,500. A student has the following help in covering the costs of school. . • An academic scholarship for $10,000. • Other scholarships and grants for $4,400. Parents pay $1,800, . What is the amount that the student will need to save every month in order to pay off the remaining costs in 10 months?
A) $630
B) $525
C) $1,200
D) $1,440
so her University costs are $22,500
however she gets some help because
◉ academic scholarship pays 10,000 off of that
◉ other scholarships pay 4,400 off of that
◉ and her parents pay 1800 off of that
what's left? well, what's left is 22500 - 10000 - 4400 - 1800 = 6300 bucks.
so for the next 10 months she needs to cover 6300 bucks of her expenses, now 6300 spread over 10 months is 630 a pop.
how many tiles of 16 cm² is needed to cover a floor dimension 8 cm by 50 cm?
A 45
B 25
C 28
D 30
(NO LINKS)
Answer:
C 28
Step-by-step explanation:
16 tiles is enough for 28 i think cuz i can't use links
Answer:
it is C 28
Step-by-step explanation:
3x+4/5=7-2x what is the solution to the equation?