Solve the equation using the method of factorisation-
x2 - 4x - 45 = 0
x² + 4x -9= (x + a)^2 + b
Find the value of a and the value of b.
Answer:
X = 9,X= -5, a = 2, b = -13
Step-by-step explanation:
For (1),
Using Cross-factorization,
it can be reduced to (X - 9)(X + 5) = 0
Equate each factor to 0:
we have X = 9 and X = -5
For (2),
It is the case of completing the Square,
add 4 so we get the completed square ( we want the form X^2 + 2a + a^2)
(X^2 + 4X + 4) - 9
can be simplified to (X+2)^2 -9
However since we added 4 it means we have to subtract 4
So it becomes (X+2)^2 -9 -4
= (X+2)^2 -13
I don’t know what to do
Answer:
i think it would be the first one i am not 100% sure just a gues
Step-by-step explanation:
Help me answer this please!!
Answer:
Step-by-step explanation:
Alyssa will correctly label the numbers 48.8 48 48.09 and 48 on the number line below Which number will be located closest to 48
Answer:
the answer is (6*10^6)
Step-by-step explanation:
Multiply the beginning numbers and add the exponents.
Question 1 (10 points) What is the sum of two fractions: 3/4 + 1/6
Answer: 11/12 or 0.916
Step-by-step explanation: hope this helps!
what is the surface area of the rectangle prism below? HELP ME ASAP PLEASE !!
Answer:
C. 248
Step-by-step explanation:
[tex]A=2(wl+hl+hw)\\2(4*6+10*6+10*4)\\2(24+60+40)\\48+120+80=248[/tex]
2 3/5 x 1 2/5=
Pls do explain it. Thanks in advance
Answer:
2×3\5×2\5=60
Step-by-step explanation:
first of all do multiply then cut both 5 and at last divide the Answer comes 60
Solve for x Enter the solutions from least to greatest . (x - 4)(- 5x + 1) = 0 lesser x = greater x =
Answer:
dont know maybe someone else can help u
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Answer:
lesser x=1/5
greater x =4
Step-by-step explanation:
Please refer to the attachment
Find the radius of a circle in which the central angle, a, intercepts an arc of the given length
a = 30°, s = 9in
Answer:
17.2 in
Step-by-step explanation:
The formula for arc length is s = rФ. Here we are to find r. Solving this formula for r, we get:
r = s/Ф
So, in this problem, r = (9 in) / (π/6) = 54/π in ≈ 17.2 in
Select the correct answer.
What is the value of x in this linear system?
2x + 8y – z = -9
y + z = 7
-x– y + z = 8
A.0
B.-7
C.7
D.-1
Write in summation notation.
11) -2+ 1 + 4+...
+ 13
I’ll give brainliest to whoever answers correctly first
How many permutations are there of the letters in the following word, if all the letters are used without repetition?
ADMIRES
Give the answer using permutation notation, factorial notation, or other operations. Then evaluate.
ADMIRES is the word
Answer:
5040 permutations
Step-by-step explanation:
16,000 grow 3% each year
Answer:
Step-by-step explanation:
[tex]y=ar^t\\ \\ y=16000(1.03^x)[/tex]
which is equivalents to 9/8
Answer:
12
Step-by-step explanation:
Answer: 9/8 , 18/16 , 27/24 , 36/32 , 45/40 , 54/48 , 63/56
please write an equation of a line in slope-intercept form with the given slope and y-intercept.
A. slope: -6, y-intercept: -2
B. slope: 1, y-intercept: -12
In order to determine whether or not there is a significant difference between the mean hourly wages paid by two companies (of the same industry), the following data have been accumulated.
Company A Company B
Sample size 80 60
Sample mean $16.75 $16.25
Population standard deviation $1.00 $.95 The p-value is:_________
a. 0.0084.
b. 0.0042.
c. 0.0026.
d. 0.0013
Answer:
The p-value is;
d. 0.00131
Step-by-step explanation:
The given question parameters are;
Company A [tex]{}[/tex] Company B
Sample size 80[tex]{}[/tex] 60
Sample mean [tex]{}[/tex] [tex]\overline x_1[/tex] $16.75 [tex]\overline x_2[/tex] $16.25
Population standard deviation [tex]{}[/tex] σ₁ $1.00 σ₂ $0.95
[tex]z=\dfrac{(\bar{x}_{1}-\bar{x}_{2})-(\mu_{1}-\mu _{2} )}{\sqrt{\dfrac{\sigma_{1}^{2} }{n_{1}}+\dfrac{\sigma _{2}^{2}}{n_{2}}}}[/tex]
Therefor, we have;
[tex]z=\dfrac{(16.75-16.25)-(0-0)}{\sqrt{\dfrac{1^{2} }{80}+\dfrac{0.95^{2}}{60}}} \approx 3.0128[/tex]
The p-value = 1 - 0.99869 (the area to the right of 3.01) = 0.00131
{[(9 − 2) × 3] + 3} − 5 =
Answer:
look at the picture i sent..........
Complete this page STEP BY STEP
Answer:
Sample space is the collection of all possible events.
So, sample space of tossing two coins, S=(H,T),(T,T),(T,H),(H,H)
Step-by-step explanation:
4/9x6= (write in simplest form)
Answer:
24/7
Step-by-step explanation:
Answer:
8/3
Step-by-step explanation:
4 * 6 = 24 8
9 9 3
Which function is represented by the graph below?
Answer:
Step-by-step explanation:
y=-4x+2
Answer:
y=2x-4
Step-by-step explanation:
Becuase the x axis croses -4, so you would draw a line starting at the bottom through negative 4. Then since their is a positive 2 you would keep drawing the line on the untill you see a 2 which would be on the y axis.
find the quotient 1 7/8 / 5 5/8
the u.s. landfill contained a total of 200 million tons of trash how many more million tons of trash has been paper than Rubber and leather?
Answer:
9,160,000 tons
Please help. Find the area of the following shape
There are several ways to answer this. All involve finding a way to calculate the area of shapes we're familiar with and using those areas to find the area of this unusual shape. I've included three different ways, all of which yield the same total area.
In the first case, you cut the shape into two shapes by drawing a perpendicular line from point C to segment AE. That will give you a square and a trapezoid. The area of the square is (2 m)(5 m) = 10 m², and the area of the trapezoid is (0.5)(9 m - 5 m)(4 m + 4 m - 2 m) = 12 m². So the area of the entire shape is 10 m² + 12 m² = 22 m².
In the second case, you cut the shape into two shapes by drawing a perpendicular line from point C to segment AB. That will give you a rectangle and a triangle. The area of the rectangle is (2 m)(9 m) = 18 m². The area of the triangle is (0.5)(4 m - 2 m)(9 m - 5 m) = 4 m². So the area of the entire shape is 18 m² + 4 m² = 22 m².
In the third case, you can imagine that this shape is a piece of a larger rectangle with sides 4 m and 9 m with an area of 36 m². The area of this shape would be the difference between 36 m² and the area of the imaginary trapezoid that fills in rest of the rectangle. That trapezoid would have an area of (0.5)(4 m - 2 m)(9 m + 5 m) = 14 m². So the area of the shape given would be 36 m² - 14 m² = 22 m².
In any case, the area of the shape is 22 m².
Write an expression for "the difference of 6 and k."
Answer:
6-k
Step-by-step explanation:
difference is subtraction so it is 6-k
at a farm the ratio of the number of hens to the number of ducks is 3:5 there are 125 ducks at the farm how many hens are there on the farm
3 : 5
x : 125
125 ÷ 5 = 25
25 × 3 = 75
no. of hens = 75
what is the equation to 3x+2x+-x
Answer:
the answer qould be 4x if you are just simplifying
what is 3x+7x-9x+4x+10+12x if x=2
Answer: 44
Step-by-step explanation:
Answer:
3(2)+7(2)-9(2)+4(2)+10+12(2)
6+14-18+6+10+24
60-18
42
The volume of a large aquarium is 210 ft it is 3 3/5ft wide and 2 4/5 ft high what is the length of the aquarium
Answer:
21 ft
Step-by-step explanation:
how do you solve an equation that looks like this?
Answer:
x = 11
Step-by-step explanation:
5x - 8 + 43 = 90
5x = 55
x = 11
Step-by-step explanation:
5x - 8° + 43° = 90° (right Angle)
5x + 35° = 90°
5x = 90° - 35°
5x = 55°
x = 55°/5
x = 11°
5x - 8 = 5 × 11 - 8 = 47°
The first angle is 47° and second one is 43°.
Select all the expressions that are solutions to 9 = 1/3x
Answer:
first and last expressions are correct.
Which fraction is equivalent to
3/5
Answer:
12/20
Step-by-step explanation: