Given that:
x² + 5x - 6 = 0
Here we see that,
→ Product of coefficient of x² and constant term = 1 × 6 = 6
→Difference of the constant term and the coefficient of x² = 6 - 1 = 5
Now the given equation can be written as,
⇛x² + 6x - 1x - 6 = 0
(Here we simply applied the correc sign and splitted the middle term in two terms)
Now let's take the common terms
⇛x(x + 6) - 1(x + 6) = 0
On grouping we get,
⇛(x - 1)(x + 6) = 0
Here either (x - 1) = 0 or (x + 6) = 0 since the product is zero so anyóne of the terms should be zero.
⇛(x - 1) = 0 or (x + 6) = 0
⇛x - 1 = 0 or x + 6 = 0
⇛x = 1 or x = -6
Here we got two solutions of the equations. This means thet are in correct form.
Answer: The value of X is 1 or -6.
also read similar questions: Solve the following equations. X^2 + 5x + 6 = 0 (Factorise) X^2 + 7x + 11 = 0 (Use the quadratic formula)..
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solve the equation x^2+5x+6=0
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The cost of a jacket increased from $60.00 to $71.40. What is the percentage increase of the cost of the jacket?
Answer:
19%
Step-by-step explanation:
Percentage increase = ( (final value - original value) / original value ) x 100
= ( ($71.40 - $60.00) / $60.00 ) x 100
= 19%
[tex]71.40 - 60 = 11.40[/tex]
to find the increase of percentage, divide the amount of increasing price with intial price and multiply with 100%
[tex] \frac{11.40}{60} \times 100\% = 19\%[/tex]
so the cost of jacket has increased 19%
Does the table represent a function? Why or why not?
Answer:
B
Step-by-step explanation:
A function is happens when each input only has one output. In this table 4 and 5 have the same output, therefore this is not a function.
What is the volume of the container
Answer:
1468 in
Step-by-step explanation:
1) Find volume of entire figure
10*10*15=1500
2) Find volume of small piece that is cut out
2*4*4=32
3) Subtract smaller number from bigger number
1500-32=1468
Answer:
1,468 [tex]in^{3}[/tex]
Step-by-step explanation:
Volume = length * base * height
Volume = 10 * 10 *15
10 * 10 *15 = 1500
To get the object with a portion taken off, you would find the volume of the chunk taken off and subtract it from the whole object.
4 * 4 * 2 =32
1500-32 = 1468 in^3
Without using your calculator, work out 27 -
Give your answer as a fraction in its lowest terms.
You must show each step of your working.
Answer: So, 27 as a fraction would be 27/1 i guess? lol
Answer:
27/1 it's correct answer
the sum of six and two times a number is one
Answer:
Equation: 6+2x=1
Step-by-step explanation:
Sum means addition and just add an x for the 2 times a number and set it equal to 1.
3,408 divided by 41
Explanation in traditional method
52 POINTS PLS HELP
Answer:
83.1219512195
Step-by-step explanation:
Hope this helps!
PLEASE HELP!!! WILL GIVE BRAINLIEST!!!!
Pilar used five reusable shopping bags on a recent purchase she made at a grocery store. Each bag decreased the amount she spent by 5 cents. What was the change to the amount Pilar spent at the grocery store by using the reusable bags?
A.
-10 cents
B.
25 cents
C.
-25 cents
D.
10 cents
Answer:
B
Step-by-step explanation:
5x5 = 25
She used 5 bags and saved 5 cents on each one.
1 - 5, 2 - 10, 3 - 15, 4 - 20, 5 - 25.
Hope that helps
how to find r in a geometric sequence calculator
Step-by-step explanation:
We can find r by dividing the second term of the series by the first. Substitute values for a 1 , r , a n d n \displaystyle {a}_{1}, r, \text{and} n a1,r,andn into the formula and simplify. Find a1 by substituting k = 1 \displaystyle k=1 k=1 into the given explicit formula.
Hayley is considering two gym membership plans. The plans are detailed here.
HELP ASAP 10 POINTS
Plan One: $40 for a monthly pass plus $4 for each gym visit
Plan Two: $12 for each gym visit.
Which equation expresses the situation in the form of y=mx+b where x is the number of gym visits per year and y is the total cost per month for Plan One?
Answer:
aye she probally not gonna go every day she polly gonna got twice so just pay 4 every visit
Step-by-step explanation:
HURRY IN TEST!!
Which of the following number lines shows the solution to the inequality given below?
2x − 3 < -9 OR 2x − 3 > 3
Answer: B.
Steps:
solve the inequalities
x <= -3
x>3
match to number line
answer B
Answer:
#LINE B
Step-by-step explanation:
(make sure to look at the color and direction of the arrow)
a floor 9 feet by 12 feet, is to be tiled with 4-inch-by-6-inch tiles. how many tiles are needed to cover the floor?
Answer:
Step-by-step explanation:
12 inches per foot
The floor is 9(12) = 108 inches by
12(12) = 144 inches
The floor area is 108(144) = 15552 sq. In.
Each tile is 4(6) = 24 sq. in.
Need 15552/24 = 648 tiles
Find the slope of the line below. Enter your answer as a fraction or decimal.
Use a slash mark ( 1 ) as the fraction bar if necessary.
10
(-4,8).
(-6,-4)
Answer here
Answer:
slope = 6
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (-6, - 4) and (x₂, y₂ ) = (- 4, 8) ← 2 points on the line
m = [tex]\frac{8-(-4)}{-4-(-6)}[/tex] = [tex]\frac{8+4}{-4+6}[/tex] = [tex]\frac{12}{2}[/tex] = 6
The slope of the line given in the task content is; m = 6.
What is the slope of the line?The slope of the line is the rate of change of the dependent variable with respect to the independent variable.
On this note, the slope of the equation is;
Slope, m = (-4-8)/(-6-(-4))
m = -12/-2
m = 6.
Read more on slope;
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The price of 40L petrol is £24, find the price of each litre.
Answer:
1.666666666666666666666666666666666666666666666666666
Step-by-step explanation:
select all values equal to -4/5
Answer:
C and E
Step-by-step explanation:
the position of the minus either up or down affects both the numerator and denominator.
but if both number have minus the minus cancels each other
Answer:
B, C, E
Step-by-step explanation:
A is -/- and therefore +
B is - -/- = -+ = -
C is -/+ = -
D is - -/+ = -- = +
E is +/- = -
Which of the following
Answer:
which of the following what??
Step-by-step explanation:
..
It takes 2 ½ spoons of chocolate to make ⅗ gallon of chocolate milk. How many spoons of chocolate would it take to make 1 gallon of chocolate milk?
Answer:
5 spoons
Step-by-step explanation:
2 1/2 +2 1/2=5
so the answer would be: it takes 5 spoons to make a gallon of chocolate milk
Kile’s weight is 30 pounds less than the product of Mindy’s weight and 3. Let m represent Mindy’s weight. Write an expression that represents Kile’s weight.
Answer:
3m - 30
Hope you could get an idea from here.
Doubt clarification - use comment section.
So the expression till now
[tex]\\ \sf{:}\Rrightarrow m(3)[/tex]
[tex]\\ \sf{:}\Rrightarrow 3m[/tex]
But the required weight is 30pounds less than it
[tex]\\ \sf{:}\Rrightarrow 3m-30[/tex]
How to solve 9/11 * —- = 3/4
Answer: 9/11 diveded by 3/4
Step-by-step explanation: divde to get middle answer
7/24*5/14*16/25
PLS HELP!!!!!!!
7/24*5/14*16*25= 1/15
Plsssss help me this needs to be done ASAPPP
Answer:
6 and 3
Step-by-step explanation:
Mutiply and will get your aswer correct
Identify all the obtuse angles shown
Answer:
Option D is correct.
Explanation:
An obtuse angle is an angle that has more than 90°. In the picture, we can clearly see that ∠XYZ has more than 90°. This is an obtuse angle. ∠XWZ is also more than 90°, so that angle is also classified as an obtuse angle. Hence, Option D is correct.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
what are the coordinates of the circumcenter of this triangle
Answer:
We can find circumcenter by using the circumcenter of a triangle formula, where the location of the circumcenter is O(x,y) and the coordinates of a triangle are given as A(x1,y1),B(x2,y2) and C(x3,y3) A ( x 1 , y 1 ) , B ( x 2 , y 2 ) a n d C ( x 3 , y 3 ) .
Step-by-step explanation:
Someone please help. How can I solve this question?
Answer:
∠ LKJ = 64°
Step-by-step explanation:
Since KJ = KL then the triangle is isosceles with the 2 base angles being congruent, that is
∠ J = ∠ L = 58° , then
∠ LKJ = 180° - 58° - 58° = 180° - 116° = 64°
I need someone to help me who’s really good at 7-8th grade math :)
Answer:
You should write a math example
How many ink cartridges can you buy with 225 dollars if
one cartridge costs 15 dollars ?
Answer:
The answer is 15!
Step-by-step explanation:
225 divided by 15 is 15! Hope this helps! :)
The square root of a certain number is 9.5671 . The certain number is between which 2 integers?
Answer:
91 & 92
Step-by-step explanation:
Answer:
9.5671*9.5671=91.52940241
between 91 and 92
Hope This Helps!!!
The dimensions of the base of an office building are 5.5 x 10^4 feet by 3.45 x 10^5 feet. What is the perimeter of the base of the building, in feet?
Answer:
8×10^5
Step-by-step explanation:
Perimeter= 2( length + width)
= 2(34.5 × 10⁴ + 5.5 × 10⁴)
= 2(40 × 10⁴)
= 80 × 10⁴
= 8 × 10^5 feet
what is the solution for x^0.5logx=0.01x^2 ?
Answer:
x1= 100 x2=99.999
Step-by-step explanation:
[tex]x^{0.5\log _{10}\left(x\right)}=0.01x^2[/tex]
[tex]0.5\log _{10}\left(x\right)\log _{10}\left(x\right)=\log _{10}\left(0.01\right)+2\log _{10}\left(x\right)[/tex]
u=log(x)
[tex]0.5uu=\log _{10}\left(0.01\right)+2u[/tex]
[tex]u=2+\sqrt{1.0E-15},\:u=2-\sqrt{1.0E-15}[/tex]
[tex]x=10^{2+\sqrt{1.0E-15}},\:x=10^{2-\sqrt{1.0E-15}}[/tex]
(If someone is online)pls help me to answer this question
Answer:
The correct answer is yes.
Step-by-step explanation:
I can help you. What do you need? :)