[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]
Let's solve ~ ☂
[tex]\qquad \sf \dashrightarrow \: {x}^{2} + 4x - 77[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{2} + 11x - 7x - 77[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{} (x + 11) -7(x + 11)[/tex]
[tex]\qquad \sf \dashrightarrow \: {}^{} (x + 11)(x - 7)[/tex]
Answer:
x = 7
x = -11
Step-by-step explanation:
x² + 4x = 77
Complete the square to make it a square of a binomial
x² + 4x + 4 = 77 + 4
(x+2)² = 81
Square root both sides (two solutions)
x + 2 = 9
x = 7
x + 2 = -9
x = -11
Hope this helps :)
Have a nice day!
ial
Some of these numbers have been rounded to one decimal place to give 7.8. Circle all
the possibilities
7.741
7.81
7.85
7.749
7.809
Answer:
7.8 is 7.81 because it hasn't changed 1-5 doesn't round up and this one didn't therefore the answer is 7.81 or 7.809
What adds to the bottom number but also multiplies to be the top?
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Answer:
25.12 feet
.............................
Answer:
C = 25.12 Ft.
Step-by-step explanation:
Formula: C = 2πr
C = 2π (4)
C = 8π
C = 8 (3.14)
C = 25.12 Feet
3m+8=15, is it quadratic or not quadratic? If your answer is not quadratic, explain.
3m + 8 = 15 is not a quadratic equation. quadratic equation must have the power of 2 in the quadratic term.
Answer:
Definitely not.
Step-by-step explanation:
3m+8=15
A quadratic equation needs to consist of these values:
x^2+x+y
In this case x can be followed by any coefficient but needs to end with a variable to the power of 2. The second part of this question needs to have that variable- but to no power. Finally, the third part is just a regular integer. We can tell 3m+8=15 is not a quadratic because while it has a variable and integer, it does not have a variable to the power of two.
Jack Talon rolled 82 barrels onto the ship's
deck. 50% of those barrels were empty. How
many empty barrels did Jack roll onto the
ship's deck?
Answer:
41
Step-by-step explanation:
You do 50% of 82 which is 41.
Answer: 41 empty barrels
Step-by-step explanation:
if Jack rolled 82 total barrels and 50% of them were empty, that is the same as taking 82 times .5, which gives us 41. This is how we know he rolled 41 empty barrels onto the ships deck.
(x + y)/(x ^ 2 + xy + y ^ 2) + (x - y)/(x ^ 2 - xy + y ^ 2) - (2y ^ 3)/(x ^ 4 + x ^ 2 * y ^ 2 + y ^ 4)
Answer:
If the * is supposed to be multiplication, then my answer is : 2(x-y)/(x^2+y^2-xy)
Step-by-step explanation:
PLEASE HELP!! If f (x) = x^3 - x^2 + x - 1, then f’(2) =
==========================================
Work Shown:
f(x) = x^3 - x^2 + x - 1
f ' (x) = 3x^2 - 2x + 1
f ' (2) = 3(2)^2 - 2(2) + 1
f ' (2) = 9
In step 2, I used the power rule [tex]\frac{d}{dx}x^n = nx^{n-1}[/tex]
I need help with this question im stuck
Answer:
Step-by-step explanation:
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer:
[tex]-2b^2+17b-15[/tex]
Step-by-step explanation:
Given expression:
[tex](b^2+13b-9)-(6-4b+3b^2)[/tex]
Apply rule [tex](a)=a[/tex]:
[tex]=b^2+13b-9-(6-4b+3b^2)[/tex]
Apply the distributive law [tex]-(a-b)=-a+b[/tex] :
[tex]=b^2+13b-9-6+4b-3b^2[/tex]
Subtract the numbers:
[tex]=b^2+13b-15+4b-3b^2[/tex]
Group like terms:
[tex]=b^2-3b^2+13b+4b-15[/tex]
Combine like terms:
[tex]=-2b^2+17b-15[/tex]
Answer:The solution is in the attached file
Step-by-step explanation:
10. What is the coefficient of the X^3 term
of the product?
Answer:
This matrix is amplified by exponential sequencing
The number of members divided by 6 is 15.
(25 points)
Please show steps. Thanks in advance!
Divide:
[tex]4x^3+2x^2+3x+4[/tex] ÷ [tex]x+4[/tex]
[tex]-3x^3-2x^2-x-2[/tex] ÷ [tex]x-2[/tex]
Answer:
x^3+2x+2+2/x
Step-by-step explanation:
if the foci of an ellipse are the same ordered pair, is the comic a circle?
Answer:
yes
Step-by-step explanation:
In the given figure, O is Center of circle. If AC//DB and angle ABC=50 , find angle ACD
Answer: 40 degrees
Step-by-step explanation:
Please help! Find the value of x in the triangle. Then classify the triangle as acute, right, or obtuse. Problem is below!
Answer:
83, acute
Step-by-step explanation:
49 + 48 + x = 180
97 + x = 180
x = 83
All angles are smaller than 90 so they all are acute and that makes this trinagle an acute triangle. So cute! :)
Have a great day!!
Please rate and mark brainliest!!
Solve each equation |3x+9|=30 x=7 x= 1, -19 no solution x=7,-13 |2x+1|=-13 no solution x=-7 x=-14, 12 x=-7, 6 |x+2|+4=11 x=5 no solution x=5, -9 x=7,-11
Answer:
x= -7 x= 5
Step-by-step explanation:
2x + 1 = -13
-1 -1
2x = -14
/2 /2
x = -7
x + 2 + 4 = 11
x + 6 = 11
-6 -6
x = 5
hope this helps (:
The solutions of the given linear equations are: x = 7, - 13; x = 6, - 7; x = 5, - 9, respectively.
What is a linear equation?A linear equation is an equation that has on or multiple variables with the highest power of the variable is 1.
Given equations are:
1. |3x + 9| = 30
⇒ ( |3x + 9| )² = (30)²
⇒ 9x² + 54x + 81 = 900
⇒ 9x² + 54x + 81 - 900 = 0
⇒ 9x² + 54x - 819 = 0
⇒ 9(x² + 6x - 91) = 0
⇒ (x² + 6x - 91) = 0
⇒ (x + 13)(x - 7) = 0
⇒ x = 7, - 13
2. |2x+1| = - 13
⇒ (|2x+1|)² = (- 13)²
⇒ 4x² + 4x + 1 = 169
⇒ 4x² + 4x - 168 = 0
⇒ 4(x² + x - 42)= 0
⇒ (x² + x - 42)= 0
⇒(x - 6)(x + 7) = 0
⇒ x = 6, - 7
3. |x + 2| + 4 = 11
⇒ |x + 2| = 7
⇒ (|x + 2|)² = 7²
⇒ x² + 4x + 4 = 49
⇒ x² + 4x - 45 = 0
⇒ (x - 5)(x + 9) = 0
⇒ x = 5, - 9
Learn more about linear equation here: https://brainly.com/question/17038547
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5. What is the next number?
-9, -4, 1, 6,_
Answer:
11
Step-by-step explanation:
Because it's +5 every number
Answer:
11
Step-by-step explanation:
-9 +5=-4
-4+5=1
1+5=6
6+5=11
PLEASE HELP ME ASAP!!
Answer: 121 meters
Step-by-step explanation:
In picture
1. Which container could logically have a capacity of 1,000 liters?
A. Kitchen sink
B. Bathtub
C. measuring cup
D. Hot tub.
Answer:
D. hottub
Step-by-step explanation:
I WILL MARK BRAINILIEST !!! Factor the polynomial 20x3 + 34x2 + 6x completely.
2x(2x + 3)(5x + 1)
2x(2x + 1)(5x + 3)
2(2x + 3)(5x + 1)
(4x2 + 6x)(5x + 1)
Solution:
[tex]\text G\text i\text v\text e\text n\ \text e\text x\text p\text r\text e\text s\text s\text i\text o\text n: 20x^{3} + 34x^{2} + 6x[/tex]
Step-1: Find the GCF of the terms.
[tex]20x^{3} \ \ \ = \ \ \ 2 \times 2 \times 5 \times x \times x \times x \\34x^{2} \ \ \ = \ \ \ 2 \times 17 \times x \times x \\ 6x \ \ \ \ \ \ = \ \ \ 2 \times 3 \times x[/tex]
GCF = 2x
Step-2: Factor the expression using the GCF.
[tex]20x^{3} + 34x^{2} + 6x \\\\ {2x(10x^{2} + 17x + 3)}[/tex]
Step-3: Further factorize.
[tex]{2x(10x^{2} + 17x + 3)}[/tex]
[tex]2x(2x + 3)(5x + 1)[/tex]
Thus, the factorized expression is [tex]2x(2x + 3)(5x + 1)[/tex].
Which identity or property is used during the first step when solving the equation 23−8x=16(4x−1)?
Additive Identity
Associative Property
Distributive Property
Multiplicative Identity
Answer:
Multiplicative Identity
Step-by-step explanation:
This is what they all basically mean:
Additive Identity - addition
Associative Property - simplifying
Distributive Property - multiplying brackets, or expanding
Multiplicative Identity - multiplication
In this equation, you first expand 16(4x-1) which uses multiplication but only has one bracket meaning, you use multiplicative identity first.
Solve step by step -18=2(-q+4)
Answer:
q=13
Step-by-step explanation:
First, you can multiply to distribute 2 over -9 and 4.
-18=2(-q+4)
-18=-2q+8
Then, you can subtract 8 from both sides.
-18=-2q+8
-26=-2q
Finally, you can divide -2 on both sides.
13=q
Now, you can check by plugging in 13 for the value of q in the original equation.
-18=2(-(13)+4)
-18=2(-13+4)
-18=2(-9)
-18=-18
Hope this helps you! :)
A path 5m wide runs along inside a rectangular field. The length of the rectangular field is three times the breadth of the field. if the area of the path is 500m2, then find the length and breadth of the field..
Answer:
Length = 45m
Breadth = 15m
Step-by-step explanation:
Dimensions of Rectangular field:
Let the breadth (B)=BC = x m
Length (L) = AB = 3x m
width of the road (w) = 5 m
Dimensions of inner rectangle:
length (l) = EF = L-2w
= 3x - 2×5
= (3x-10) m
breadth (b)=EH = B-2w
= (x-10) m
Given ,
Area of the path =500 m²
=> Area of ABCD - Area of EFGH = 500
=> L×B - l×b=500
=> (3x)× x - (3x-10)(x-10)=500
=> 3x²-(3x²-30x-10x+100)=500
=> 3x²-3x²+30x+10x-100=500
=> 40x=500+100
=> 40x = 600
=> x = 600/40
=> x = 15
Therefore,
Length (L) = 3x = 3×15 = 45m
Breadth (B) = x = 15m
Mark me as brainliest if it was helpful
Mansi ran 5,651 meters on Monday and 4,695 meters on Tuesday. How many more meters did she run on Monday than on Tuesday?
Answer:
956
Step-by-step explanation:
Choose the inequality that represents the statement.
You must get a 90 or higher to pass the course.
Answer:
C
Step-by-step explanation:
C because the symbol means Greater then or Equal too
So anything 90 or above would be true
$2.50 per 5 cans, find the price per can.
Answer: 50 cents per can
Step-by-step explanation: you do 2.50 divided by 5
Answer:
50 cents per can
Step-by-step explanation:
use a calculator and divide 2.50 by 5
If the circle has a diameter of 2 inches, then it has a circumference of 6.28 inches.
Answer:
True, the diameter=2in and the circumference=6.28
Step-by-step explanation:
The circumference, C, of a circle is found by the following equation: C = 2 x pi x r where r equals the radius of the circle (or half its diameter) and pi = 3.14159 (a constant).
Thus, 6.28 = 2 x pi x r
Solving for r: 6.28/(2 x pi) = r
or: 6.28/(2 x 3.14) = 6.28/6.28 = r
thus r = 1 and since the diameter equals 2 x r, the diameter is 2.
1/5 divided by -1/14?
Answer:
-2.8 or -14/5
Step-by-step explanation:
To divide one fraction by another, there is a really cool method called Keep Change Flip
Keep the first fraction
Change the division sign to multiplication
Flip the numbers on the last fraction
Let's try it out.
Keep the 1/5
Change the ÷ to a ×
Flip the -1/14 to a -14/1
1/5 × -14/1
Multiply the top numbers by each other first
1 × -14 = -14
Now the bottom numbers
5 × -1 = -5
The fraction we have now is -14/5
It can also be written as -2.8
What is the mean of this data set? {14, 7, 2, 8, 3} Enter your answer as a decimal in the box.
The mean of the data set is 6.8.
What is the mean?Mean is the average value of the given set of observations. In statistics, we also come across different types of mean such as Arithmetic, Geometric and Harmonic mean.
Given
The data set is 14, 7, 2, 8, 3.
The mean of the data set is given by;
[tex]\rm Mean = \dfrac{Sum \ of \ all \ data}{Number \ of \ data}\\\\Mean =\dfrac{14+7+2+8+3}{5}\\\\Mean = \dfrac{34}{5}\\\\Mean=6.8[/tex]
Hence, the mean of the data set is 6.8.
To know more about mean value click the link given below.
https://brainly.com/question/4209766
PLEASE HELP!!!
Only answer if you know