Using factorization method;
x²+13x+40=0
x²+13+40
Find two numbers that you can add together to give the co-efficient of variable x. (I.e 13 for this question). Also, you'll find two numbers that you can multiply with each other to give you the whole number as an answer. (I.e 40 in this question). The two numbers must be the same (i.e the two numbers that will be added to give the co-efficient of x and the two numbers that will be multiplied to give the whole number must be the same two).
The two numbers are +5 and +8
The equation will therefore be = x²+5x+8x+40
You'll then factorize (I.e use a common factor of both values to bracket them)
x(x+5)+8(x+5)
(x+8)(x+5)
x is therefore (x+8=0) or (x+5=0)
x=(x=0-8) or (x=0-5)
x= -8 or x= -5
Solve for x in the equation x2 - 10x+ 25 = 35
-
X
O x=5+2 5
Ox=5+ 35
O x= 10+2.5
X= 10+ 35
Answer:
x = 5 + 35
Step-by-step explanation:
This is correct if you mean x2 as in x^2
The value of x in the equation x² - 10x+ 25 = 35 is x=5±√35
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
The given equation is x² - 10x+ 25 = 35
Now we to solve for x by changing the equation to quadratic equation.
Subtract 35 from both sides
x² - 10x+ 25 - 35 = 0
x² - 10x -10 =0
By complete square method.
(x-5)² -10 -5² = 0
(x-5)²=10+5²
(x-5)²=10+25
(x-5)²=35
Take square root on both sides
(x-5)=±√35
x=5±√35
Hence, the value of x in the equation x² - 10x+ 25 = 35 is x=5±√35
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Michael, the chef, has 12 white and 6 yellow pineapple slices to divide evenly among 9 fruit cups
Answer:
You must add 12+6 which equals 18 then you divide 18 by 2 which equals 9. The answer is 9 slices per fruit cup.
Rob is making lemonade. He uses 8 lemons to make 4 quarts of lemonade.
How many lemons are used to make 1 quart of lemonade?
Answer:
I believe that would be 2 lemons for one quart.
what kind of quadrilateral is PQRS? EXPLAIN YOUR REASONING.
1.) What is the length of side PS? = 9
2.) What is the length of side SR? = 9
3.) What is the length of side PQ? = 29
4.) What is the length of side QR? = 29
since i already found the lengths for these angles, what kind of quadrilateral is PQRS?
Answer:
PS = 3SR = 3PQ = √29QR = √29kiteStep-by-step explanation:
A quadrilateral with perpendicular diagonals, one of which is a line of symmetry, is a kite.
Perhaps a more conventional definition of a kite is that it is a quadrilateral with two pairs of congruent adjacent sides.
1, 2)The lengths PS and SR can be found by counting grid squares along the line segments. Each has a length of 3. They constitute one pair of congruent adjacent sides.
PS = SR = 3
__
3, 4)The lengths of PQ an QR can be found using the distance formula. Essentially, it uses the Pythagorean theorem to compute the hypotenuse of a right triangle whose legs are the differences in x- and y-coordinates. For PQ and QR, those differences are 2 and 5, so the lengths of those segments are √(2² +5²) = √29.
PQ = QR = √29
__
5)The figure has two pairs of congruent adjacent sides, so is a kite.
A rectangle has a length x and a width y
Select all the statements that must be true
I need help Please help me
A telemarketer earns $150 each week plus $2 for each call that results in a sale.
a) Write an equation to represent her total weekly pay (P) and number of
sales (x).
Answer:
P = 2x + 150
Step-by-step explanation:
P = 2x + 150
what is the slope of a line that passes through (6,24) and the origin? show work
A.m=4
B.m=0
C.m=1/4
D. undefined
[tex](\stackrel{x_1}{6}~,~\stackrel{y_1}{24})\qquad \stackrel{origin}{(\stackrel{x_2}{0}~,~\stackrel{y_2}{0})} ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{0}-\stackrel{y1}{24}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{6}}}\implies \cfrac{-24}{-6}\implies 4[/tex]
What needs to be included in the label for each axis of a graph?.
Answer:
Each axis has a label. The axis label shows the name of the variable and its unit. The data points are the values plotted on the graph. Each point is plotted using a pair of values for the variables (the x-coordinate and the y-coordinate).
solve, showing all work. state if there is one solution, no solution, or infinite solutions. 8(a-6)+5+8a-43 . please give the answer i need it asap
Answer:
a = 43/8
Step-by-step explanation:
8a-48+5+8a-43=0
16a-86=0
a=86/16
a=43/8
Write z=5+2i as an ordered pair in an Argand diagram
Answer:
(5,2i) or (5,2)
Step-by-step explanation:
In the Argand Diagram, the imaginary value acts as the y-axis and the real value acts as the x-axis
(5, 2i) or (5,2)
Ignore the answer selected
Answer:
Option B is correct.
Step-by-step explanation:
[tex]=6(cos270+isin270)\\\\=6(0-i)\\\\=6(-i)\\\\=-6i[/tex]
Graph the system of equations to determine the solution.
2x+4y=8.
and.
y=x+2
Answer:
The solution to the system of equations is (0,2)
Step-by-step explanation:
Express the terms of the following sequence by glving an explicit formula
2, -2, -6, -10, –14,...
Answer:
[tex]a_{n}[/tex] = - 4n + 6
Step-by-step explanation:
There is a common difference between consecutive terms of the sequence
- 2 - 2 = - 6 - (- 2) = - 10 - (- 6) = - 14 - (- 10) = - 4
This indicates the sequence is arithmetic with explicit formula
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 2 and d = - 4 , then
[tex]a_{n}[/tex] = 2 - 4(n - 1) = 2 - 4n + 4 = - 4n + 6
Solve pls brainliest
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\frac{5}{12} +\frac{1}{12} =\frac{6}{12}[/tex]
[tex]Simplify[/tex]
[tex]\frac{1}{2}[/tex]
A red die and a blue die are thrown. What is the probability that the numbers on the two dice are different?.
Answer:
5/6
Step-by-step explanation:
The probability of both dice to roll the same number would be 5/6
The probability that the numbers on the two dice are different is 5/6.
Given that, a red die and a blue die are thrown.
What is the probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favorable outcomes/Total number of outcomes
There are six different possible outcomes for a dice, the set (S) of all the outcomes can be listed as follows:
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
Total number of outcomes = 36
Number of favorable outcomes = 30
Now, probability = 30/36
= 5/6
Therefore, the probability that the numbers on the two dice are different is 5/6.
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If Triangle PQR ~ Triangle VST with a scale factor of 2:5, find the value of x.
Answer:
x = 11.2 unitsStep-by-step explanation:
QR is the corresponding side to ST since ΔPQR ~ ΔVST, considering the order of vertices.
Since the scale factor is 2/5, the ratio of corresponding sides is:
QR/TS = 2/5x/28 = 2/5x = 28*2/5x = 56/5x = 11.2evaluate 2(x+6) +3r+4
Answer:
2x+3r+16
Step-by-step explanation:
If you mean by simplify, here's the solution
2(x+6)+3r+4
2x+12+3r+4
2x+3r+16
3x + 10 = 1
I do not know how to solve this pls help me
Answer:
x=−3
Step-by-step explanation:
Move all terms that don't contain
x to the right side and solve.
hope this helps !
What intervals would you use to determine where the function is positive and negative?.
Answer:
The positive regions of a function are those intervals where the function is above the x-axis. It is where the y-values are positive (not zero). The negative regions of a function are those intervals where the function is below the x-axis. It is where the y-values are negative (not zero).
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
just answered it !
So i figured out the first but I don't know the rest please help?
Ray has $30 saved and saves $2 a week and Joe has $90 saved and spends $4 a week when will they have the same amount of money saved?
Answer:
This question are you saying that Joe spends 4 dollars or do you mean saves 4 dollars
An investment will pay $18,219 in 16 years. If the interest rate is 11.09%, how much is it worth today? (Round to 2 decimal places.)
what is this answer pls help
The diameter of the circle above is 84 cm. What is the circumference of the circle? (Use = 3.14.)
A.
131.88 cm
B.
263.76 cm
C.
5,538.96 cm
D.
11,077.92 cm
−6 + 2n = 3n − ( 6 + 5 )
Please provide the answer along with how you got the answer!
Answer:
5
Step-by-step explanation:
-6+2n=3n-(6+5)
-6+2n=3n-11
-6+2n-3n=-11
-6-n=-11
n=-6-(-11)
n=-6+11
n=5
If the two consecutive numbers is 23 , find them
Step-by-step explanation:
Let the two consecutive natural numbers be x and x+1
Now, according to the problem
x+(x+1)=23
⇒ 2x+1=23
⇒ 2x=23−1
⇒ 2x=22
⇒ x=22÷2=11
The one number is 11
The next number is x+1=11+1=12
Hence the numbers are 11 and 12.
Be my Friend...
Does the line y = 3x + 1 pass through the point (4,15)
1.A
2.B
3.C
4.D
which one?
Answer:
B
Step-by-step explanation:
pls if i just get this one question right i wont have to go to boarding school so PLSSSS
What is the quotient of 2x^3+3x^2+5x-4 divided by x^2+x+1?
Answer:
2x+1 and the rest is 2x-5
Step-by-step explanation:
o-o
