Answer:
k=9 is the answer
Add 6 on each side then gives you 2k=18
then 2 divided by 18 is 9
factorize 2x⁴+x³-14x²-19x-6
no spam and kindly explain your answer!
Answer:
(x + 1)(x + 2)(2x + 1)(x - 3).
Step-by-step explanation:
From the leading and last coefficients, 2 and -6 the values +/- 1, +/-2 , +/- 3 could be roots of this equation ( well, up to 4 of them).
Try x = 1:
f(1) = 2(1)^4 + 1^3 - 14(1)^2 - 19(1) - 6 = -36 so its not 1.
f(-1) = 2 - 1 - 14 + 19 - 6 = 0 do x = -1 is a root.
Therefore (x + 1) is a factor (By the factor theorem)
Try x = 2:
f(2) = 32 + 8 -56 - 38 - 6 = -6o so x =2 not a root.
f(-2) = 32 - 8 - 56 + 38 - 6 = 0 so x = -2 is a root and (x + 2) is a factor.
(x + 1)(x + 2) = x^2 + 3x + 2.
Long division:
2x^2 - 5x - 3 <-----------Quotient
--------------------------------------------
x^2 + 3x + 2 ) 2x^4 + x^3 -14x^2 - 19x - 6
2x^4 + 6x^3 + 4x^2
-5x^3 - 18x^2 - 19x
-5x^3 - 15x^2 - 10x
-3x^2 - 9x - 6
-3x^2 - 9x - 6
.......................
2x^2 - 5x - 3 = (2x + 1)(x - 3)
So Finally, the factors are (x + 1)(x + 2)(2x + 1)(x - 3).
Someone please please help me
No links or files
The answer is C for the first question. Blank 1 the answer is 29. Blank 2 the answer is 7. I hope this helps, have a good day!
Asher sold 4 less than 2 times as many cups of lemonade on Monday than he did on Tuesday. If he sold 24 cups on Monday, which equation
will determine how many cups, c, Asher sold on Tuesday?
Answer:
What are the options?
Step-by-step explanation:
The ratio of the weights of A and B is equal to the ratio of the weights
of C and D. If A is 20 kg, B is 24kg and C is 40 find out the value of D .
Answer:
D = 48kg
Step-by-step explanation:
The ratio of the weights of A and B is equal to the ratio of the weights
of C and D.
From the above question
A : B = C : D
This can also be interpreted as
A/B = C/D
A is 20 kg
B is 24kg
C is 40kg
D is ?
Therefore:
20/24 = 40/D
Cross Multiply
20D = 24 × 40
D = 24 × 40/20
D = 48
Therefore, D = 48kg
4. One week Lin's balance at the start of the week was (- $16) but she
earned $20 from babysitting and deposited it into her bank account. What was her
account balance at the end of the week?
Dylan draws up a plan to fence in a yard for his chickens. This distance between grid lines is 1 foot. A. Is 30 feet of fencing enough to enclose the yard?
Which equation is represented by the graph below?
y= ln x-3 y= ln x-4 y= e^x -3 y=e^x -4
Answer:
C y=e^x-3
Step-by-step explanation:
Plot v6 on the number line
Solve for x. Round your answer to the nearest hundredth.
2x^2-6x+3=0
Step-by-step explanation:
[tex]2 {x}^{2} - 6x + 3 = 0 \\ x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} \\ x = \frac{6± \sqrt{12} }{4} \\ x = 2.4 \: or \: 0.6[/tex]
(no links or files) Solve this equation using the quadratic formula.
Answer:
x = 1/2,-3
Step-by-step explanation:
I think the answer is x = 1/2, -3.
i really really need help
Answer:
which one
Step-by-step explanation:
which one
Classify a triangle whose side lengths are 8, 16, and 18
A. Right Triangle
B. Acute Triangle
C. Obtuse Triangle
D. Isosceles Triangle
Answer:
Obtuse triangle
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. There are different types of triangles such as right angled, acute, obtuse and isosceles triangle.
In right angle triangle, one angle is 90°. The square of the longest side (hypotenuse) is equal to the sum of the square of the two sides.
An acute triangle is a triangle with acute angles (less than 90°). The square of the longest side is less than the sum of the square of the two sides.
An obtuse triangle is a triangle with one obtuse angle (greater than 90°) and two acute angles (less than 90°). The square of the longest side is larger than the sum of the square of the two sides.
An isosceles triangle is a triangle with two equal sides.
Given a triangle whose side lengths are 8, 16, and 18, the longest side is 18.
Since no two sides are the same hence it is not an isosceles triangle.
Also, 18² > 16² + 8²; therefore this is an obtuse triangle
The butcher sold 200 pounds of meat on Thursday. She sold double
that amount on Friday. She sold the same amount of meat on both
Saturday and Sunday. The total amount of meat she sold between
Thursday and Sunday was 900 pounds. How much meat was sold on
Saturday? Make sure to show your work!
Please help!
The Sum of the angles of a regular
polygon is 2 520". How many sides does
the polygon have?
Answer:
hi bye good luck
Step-by-step explanation:
Answer:
idek;)
Step-by-step explanation:
97+y=167
What is this
Answer:
70
Step-by-step explanation:
167-97 = 70
15^2+9^2=?
Round to the nearest 10
Solve the following quadratic function
by utilizing the square root method.
Simplify your answer completely.
f(x) = 100 – 49x^2
Answer:
x = 10/7 or x = -10/7
Step-by-step explanation:
By using the completing the squares method, we have to divide the coefficient of the x term by 2, square it and add to both sides
From what we have here, the coefficient of the x term is 0
Thus, we have it that;
0 = 100 - 49x^2
We can proceed to use the difference of two squares here;
Whereby;
a^2 - b^2 = (a-b)(a + b)
0 = (10-7x)(10+7x)
10 - 7x = 0 or 10 + 7x = 0
7x = 10 or 7x = -10
x = 10/7 or x = -10/7
I am a number less than 100. When you divide me by 2, my remainder is 1. When you divide me by 25, my remainder is 2. What numbers am I?
Answer:
27 and 77
Step-by-step explanation:
Given
Let
[tex]n \to[/tex] number
[tex]n\ \%\ 2 = 1[/tex]
[tex]n\ \%\ 25 = 2[/tex]
[tex]n <100[/tex]
Required
Find n
[tex]n\ \%\ 2 = 1[/tex] implies that the number is odd and the possible solutions are:
[tex]\{3,5,7,9,......99\}[/tex]
The possible solutions to [tex]n\ \%\ 25 = 2[/tex] are:
[tex]\{27,52,77\}[/tex]
Testing 27, 52 and 77 with [tex]n\ \%\ 2 = 1[/tex], we have:
[tex]27\ \%\ 2 = 1[/tex] --- true
[tex]52\ \%\ 2 = 0[/tex] ---- false
[tex]77\ \%\ 2 = 1[/tex] --- true
Hence, the possible numbers are 27 and 77
I Need help with this question
Answer:
600
Step-by-step explanation:
Answer:
80 sq ft
Step-by-step explanation:
this is a trapezoid and the formula for area is:
1/2 x height x (sum of the bases, which are parallel)
A = 1/2(10)(10+6)
= 5(16)
= 80 sq ft
HELP ASAP
What is the solution to the given system of equations?
y=4x-28
y=1.5x-18
1(-12,4)
2.(2,-12)
3.(7,0)
4.(7.5,2)
Answer:
Solution (4, -12)None of the listed choices are a solution
Step-by-step explanation:
y = 4x - 28
y = 1.5x - 18
Set the equations equal since both equal y
4x - 28 = 1.5x - 18
Subtract 1.5x from both sides
2.5x - 28 = -18
Add 28 to both sides
2.5x = 10
Divide both sides by 2.5
x = 4
---------------------
use x= 4 in either equation
y = 4x - 28
y = 4(4) - 28
y = 16 - 28
y = -12
--------------------
Solution (4, -12)
The circumference of a circle is double the perimeter of square having area 484 meter square . what is the area of the circle.
Answer:
وتؤوثتيمسوثاسز لا لا لا وا
Answer:
616 sq. m
Step-by-step explanation:
The area of a square = 484
(Side)2 = 484
side of a square = 22 m
According to the question,
circumference of a circle = perimeter of a square
2∏r = 4 × 22
r = 88 × 7/22 × 1/2
r = 14 m
Area of a circle = ∏r2 = 22/7 × 142 = 616 sq. m
Plz help meeee
y varies directly with x. If y = 15 when x = -18, find y when x = 1.6.
Answer:
-1.2
Step-by-step explanation:
I took the same direct variation test and got this one right
hope this helps!
What is the mean of the data set? {11, 14, 15, 16, 16, 18, 20, 20, 22, 22} A. 11 B. 15.6 C. 17.4 D 18
Answer:
C. 17.4
Step-by-step explanation:
add all the numbers and then divide
11 + 14 + 15 + 16 + 16 + 18 + 20 + 20 + 22 + 22 = 174
then divide by the amount of numbers there is which is 10.
174/10 = 17.4
Please help, my brain just sucks rn. The area of a rectangle is 93.6 square inches. If the length of one of its sides is 5.2 in. what is its perimeter?
46.4 inch
Step-by-step explanation:
Area=l×b
93.6 =5.2×b
93.6/5.2 =b
So b= 18
Again,
p=2(l+b)
p=2(18+5.2)
p= 2×23.2
p=46.4
The trapezoid shown above has an area of 21.66 square inches.
What is the total area of the shaded sections of the trapezoid?
A. 2.09 square inches
B. 4.18 square inches
C. 4.86 square inches
D. 8.74 square inches
Answer:
2.09 for only one triangle.
4.18 for two triangles.
Step-by-step explanation:
Hope this helps good luck in math if you need to look up how to find the area of a triangle all you have to do is multiply the base times the height then divide it by two.
Have a great day!
A hovercraft takes off from a platform. It's height (in meters), x seconds after takeoff, is modeled by h(x)=-(x-11)(x+3) How many seconds after takeoff will the hovercraft land on the ground?
Answer:
11seconds
Step-by-step explanation:
Given the height of the hovercraft expressed as;
(x)=-(x-11)(x+3)
The height of the hovercraft on the ground is 0, hence;
0 =-(x-11)(x+3)
-(x-11)(x+3) = 0
Multiply both sides by minus
(x-11)(x+3) = 0
x-11 = 0 and x+3=0
x = 11 and -3
Since time cannot be negative, hence the hovercraft will land after 11seconds
Please help!! I will give brainliest and no links!!
PROBLEM:
Jenni's mother sent her to the Farmers Market to buy 5 pounds(lbs.) of
potatoes. The market sold potatoes by the ounce (oz.) Jenni asked Farmer
Brown for 5 pounds of potatoes. Farmer Brown gave Jenni 64 ounces of
potatoes. Jenni noticed that she did not get 5 lbs. of potatoes. How many
more ounces does she need so that her mother can make 5 lbs. of french
fries?
Answer:
16 ounces
Step-by-step explanation:
1 pound = 16 ounces
16*5 = 80 ounces
5 pounds = 80 ounces
80-64 = 16 ounces
Please answer this equation 4x+1-1 > -8
Answer:
+1-1=0
4x>-8
x>-2
Step-by-step explanation:
Answer:
x>−2
Step-by-step explanation:
A cone with radius of 4 feet and a height of 9 feet what is the volume of the cone in cubic feet. Round to the nearest hundredth
Answer:
150.8 ft3
Step-by-step explanation:
(Please help!)
What is the x-coordinate to the following system of equations?
2x + y = -4
5x + 3y = -6
A. x = -6
B. x = 6
C. x = -8
D. x = 8