Method used:-
Completing the square method.
Steps :-
[tex]( x - 1 ) ( x + 2 ) = - 2\\x^{2}+x-2=-2 \\x^{2}+x=-2+2 \\x^{2}+x=0[/tex]
Now, make the left hand side of the equation by adding the square of ½ to both sides of the equation.
[tex]x^{2}+x+\left(\frac{1}{2}\right)^{2}=\left(\frac{1}{2}\right)^{2} \\x^{2}+x+\frac{1}{4}=\frac{1}{4} \\\left(x+\frac{1}{2}\right)^{2}=\frac{1}{4} \\\sqrt{\left(x+\frac{1}{2}\right)^{2}}=\sqrt{\frac{1}{4}} \\[/tex]
Simplify the equation. You'll get a +ve & -ve value.
[tex]x+\frac{1}{2}=\frac{1}{2} \\x+\frac{1}{2}=-\frac{1}{2}[/tex]
Simplify it further.
[tex]\boxed{\sf\:x=0}\\ \boxed{\sf\:x=-1 }[/tex]
The solutions are :-
x = 0 & x = -1
______
Hope it helps ⚜
Jane went to get her hair cut and colored before Christmas. The hair stylist told her it would cost $80, but Jane wanted to leave a 15% tip how much would her tip amount be how much will it cost her including the tip
Answer:
12$ tip together is will be 92$
Step-by-step explanation:
Your yard is a mess, and you decide to hire a landscaper. The garden pros charges 50$ consultation fee plus 30$ per hour for the actual work. What is the total cost if your yard takes 5 hour’s to fix up
Answer:
$200
Step-by-step explanation:
$50 consutation + $150 5 hour fee.
=$200
can someone pls help me expand and simplify 2(3x+4) - 3 (4x-5)
Answer:
23 - 6x
Step-by-step explanation:
2(3x+4) - 3(4x-5)
6x + 8 - 12x +15 (distributing)
23 - 6x (combining like terms)
a. Examine the zeros of the graph, and write a function that models this situation.
b. After 10 minutes, the elevation model changes and is given by the function Use the Edmentum Graphing Tool to graph this function. Capture a screenshot of your graph, and paste it in the space provided.
Answer:
See below
Step-by-step explanation:
A) We have zeroes at (2,0) (3,0) (5,0) (9,0) and (10,0). Therefore, we can write the function as (x-2)(x-3)(x-5)(x-9)(x-10) = x⁵-29x⁴+311x³-1519x²+3360x-2700
B) View attached screenshot for reference
Can anyone help me on this one??
Find the slope and the y-intercept of the equation below:
1. 4x-3y=12
2. 2y=6x-12
if you can put the step please do so. Tysm.
Answer + Explanation:
1. you want to rearrange the equation ( don't change the actual value ) to put it in the form y = mx + b. in this form, m represents the slope and b represents the y-intercept.
this is how you would do that:
4x - 3y = 12
subtract 4x from both sides
-3y = -4x + 12
divide both sides by -3
y = 4/3x - 4
this means the slope is 4/3 and the y-intercept is -4
2. do the same thing, rearranging into y = mx + b form
2y = 6x - 12
divide both sides by 2
y = 3x - 6
this means the slope is 3 and the y-intercept is -6
A math club prints t-shirts for its members. Each shirt costs $7. Each print on the front is $2 and each print on the back is $2.50 write an equation that represents the cost of a short, C, if f represents the front print, and b represents the back print
Answer:
Step-by-step explanation:
1. 7$ for Each Shirt 2$ is for the Print $2.50 is the cost of back
1. (7x2x2.50) ---All Multiplication
2. Answer 35.00
Breakdown
$7.00 Mulltiplied by 2 which gives you $14.00
Then you multiply it by $2.50
Which Gives you $35.00
If f(x) = x4 – 4x3 + 1, then what is the remainder when f(x) is divided by
X - 6?
Reminder = f ( 6 )
Thus :
[tex]f(6) = {6}^{4 } - 4( {6})^{3} + 1[/tex]
[tex]f(6) = 1296 - 864 + 1[/tex]
[tex]f(6) = 433[/tex]
Thus ;
[tex]remider = 433[/tex]
May I please receive help?
ok I got you
it is 40
If similar, state if it’s AA similarity, SSS or SAS similarity
Answer:
they are not similar
Step-by-step explanation:
MN/VW=16/22=8/11
LN/UW=20/28=5/7
LM/UV=25/35=5/7
there is no information about the angles, you apply SSS but in this situation not all sides are proportional
tell me if right plz
Answer:
yes
Step-by-step explanation:
A bag contains only dimes and quarters. There are 21 coins in the bag totaling $4.65. How many of each type of coin are in the bag
Answer:
17 quarters and 4 dimes
Step-by-step explanation:
17 · 0.25 = 4.25
4 · 0.10 = 0.40
4.25 + 0.40 = 4.65
I hope this helps!
I need the answers to a b c and d PLZ DUE AT 11:59PM ITS 9:23PM
Answer:
do u even still need the answer its been aweek since you asked it and it was due that same day
Step-by-step explanation:
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer:
The answer is 8
x=3
4^3/2^3=8
Reed compró 1.8 libras de frijoles. Los frijoles cuestan
$1.27 por libra. ¿Cuál fue el precio total de los frijoles que compro Reed?
Answer:
1.27? :v
Step-by-step explanation:
porque la libra cuesta 1.27 y el solo compro 1.8? la verdad no tiene sentido esta pregunta o quizas abra que hacer una ecuacion...en fin suerte.
A commercial airplane is flying at an elevation of 15,000 feet and ascends to an elevation of 20000 feet at a rate of 1250 feet per minute. How many minutes does this ascent take?
Answer:
4 minutes
Step-by-step explanation:
Put it into an equation
20000 = 1250x + 15000
Subtract 15000 from both sides
5000 = 1250x
Divide both sides by 1250
4 = x
Helppppppppppppppppppp
Answer:
Step-by-step explanation:
13+(12-x)+14+(20-x)+x+(15-x)+8=74
solve for x
x=4
Suppose you have 5 different colored shirts (grey, white, black, brown, and orange) and 4 kinds of pants (jeans, sweatpants, khakis, and plaid).
What is the probability on Monday you wear a grey shirt with jeans and put it in the laundry, then on Tuesday wear a black shirt with sweatpants?
OA)
OB)
OC)
OD
Done and Review
Next Question
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INTL 0
Answer:
A
i will go with a. hope to help u
Find the product
(-2) (7)
Answer:
-14
Step-by-step explanation:
Remember that a negative times a positive is negative:
(-2)(7) = -(2)(7) = -14
75,15,3 find the 6th term
Answer:
0.024
Step-by-step explanation:
75, 15, 3, ...
Now, let's take a look at thus pattern.
You'll notice how the numbers decrease.
Divide 75 by 5.
We get 15
Divide 15 by 5.
We get 3.
Then we have the pattern now.
3 ÷ 5 = 0.6 (4th term)
0.6 ÷ 5 = 0.12 (5th term)
0 12 ÷ 5 = 0.024 (6th term)
I hope it helps.
Use completing the square to solve for x in the equation (x+ 7)(x-9)=25,
OX= 4 or 6
O X-2 or 14
O x=1V89
O x=1 V87
Answer:
3rd option
Step-by-step explanation:
(x + 7)(x - 9) = 25 ← expand left side using FOIL
x² - 2x - 63 = 25 ( add 63 to both sides )
x² - 2x = 88
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 1)x + 1 = 88 + 1
(x - 1)² = 89 ( take square root of both sides )
x - 1 = ± [tex]\sqrt{89}[/tex] ( add 1 to both sides )
x = 1 ± [tex]\sqrt{89}[/tex]
John has quarters, nickels, and dimes. He has 4 more nickels than quarters and twice as many dimes than nickels. If he had $6.00, how many quarters does he have?
Show your work in the are below.
Make sure you define the variable. Start with "Let x be..."
Answer:
Let the no of quarters be x
According to given,
x + (x+4) + (x+4)/2 = 6
x + (x+4) + (x + 8)/2 = 6
x + x + 4 + (x + 8)/2 = 6
[2 (2x + 4) + (x + 2)]/2 = 6
4x + 8 + x + 2 = 6 × 2
5x + 10 = 12
5x = 12 - 10
5x = 2
x = 2/5
•°• x = 0.4
1 doller = 4 quarter
0.4 doller = p
p = 0.4 × 4 = 1.6
•°• There are 1.6 quarter.
ATQ
[tex]\\ \sf\longmapsto x+x+4+2(x+4)=6[/tex]
[tex]\\ \sf\longmapsto 2x+4+2x+8=6[/tex]
[tex]\\ \sf\longmapsto 4x+12=6[/tex]
[tex]\\ \sf\longmapsto 4x=-6[/tex]
[tex]\\ \sf\longmapsto x=-3/2[/tex]
[tex]\\ \sf\longmapsto x=|-1.5|[/tex]
[tex]\\ \sf\longmapsto x=1.5[/tex]
Which quadratic equation has roots -7 and -4?
Answer:
the given set of solutions {−7,4} is y=x2+3x−28 y = x 2 + 3 x - 28 .
The cost was 1,784. they also had to pay 7.25% sales tax. what was the total amount paid
Answer:
1913.34
Step-by-step explanation:
We multiply 1,784 by 0.00725. OR if you have a calculator that multiplies percentages you can write it out as 1784 * 7.25%.
How does a value that is greater
than 100% of the original value or less than
1% of the original value compare to the original
value?
[tex] \: \: \: \: \: \: [/tex]
If a value is greater than 100% of the original value, then it is larger than the original value. For example, 150% of 6 is 6 150% = 61.5 =9> 6. -
If a value is greater than 100% of the original value, then it is larger than the original value. For example, 150% of 6 is 6 150% = 61.5 =9> 6. -If the value is less than 1% of the original value, then it is smaller than the original value. For example, 0.1% of 6 is 6 0.1% = 6 0.001 0.006 < 6.
hope it helps
Tell whether each equation has one, zero, or infinitely many solutions.
Solve the equation if it has one solution.
4x + 2 = x + 8 PLZZZZZ
Answer:
Exactly One Solution
Step-by-step explanation:
4x + 2 = x + 8
3x = 6 Simplify.
x = 2 Divide by 2.
Answer:
One solution, x = 2
Step-by-step explanation:
4x + 2 = x + 8 (Given)
4x = x + 6
(The 2 is subtracted from the right side, therefore the left side is also subtracted. 8 becomes 6.)
3x = 6
(The x is subtracted from the right side to the left side. Thus turning the 4x into 3x)
x = 2
(The 3 is divided out to get x alone. So, the 6 has to be divided by 3 as well, turning it into 2)
How do you prove perpendicular lines are congruent?
Answer:
step below
Step-by-step explanation:
This is the graph it should be, I suppose you know how to solve it.
BD ⊥ AC CE ⊥ AB
prove BD = CE
hint: Δ BEC ≅ Δ CDB
let's find the value.
3 upon 8 of 2m (in cm)
Answer:
75 cm
Step-by-step explanation:
1 m = 100 cm , so
2 m = 200 cm
Then
[tex]\frac{3}{8}[/tex] × 200 cm
= 0.375 × 200 cm
= 75 cm
Plslslslslslsllep
Helppp tyyyyyyyy
[tex](5xy ^{2} {)}^{3} \\ = {5}^{3} \times {x}^{3} \times y ^{2 \times 3} \\ = 125 {x}^{3} {y}^{6} [/tex]
Answer:
[tex]125 {x}^{3} {y}^{6} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Answer:
125x^3y^6
Step-by-step explanation:
Distribute the 3 exponent on the outside to the 5, x^1 and y^2
5^3 = 125
1 * 3 = 3
2 * 3 = 6
125x^3y^6
Write an expression that represents the perimeter of he rectangle
Answer:
Since the sides across from each other are congruent, you can times them by two
2(4x-6)+2(3x+4)
please i beg for help !!!!!!!!!!! will mark brainlist
Answer:
[tex]x=-10[/tex]
Step-by-step explanation:
This deals with negative exponents.
[tex]x^{-2}=\frac{1}{x^2}[/tex]
27 and 9 are both powers of 3, so we need to find a way to make both of these into a base 3.
9 is easy, thats just:
[tex]9=3\times3=3^2[/tex]
1/27 is a little more difficult. Start with 27:
[tex]27=9\times3=3\times3\times3=3^3[/tex]
and because its a 1/27, that exponent has to be negative.
[tex]3^3=27\\3^-^3=\frac{1}{27}[/tex]
Now we can get both of them to base 3, so do that in the given equation:
[tex]3^{(-3)\times(4-x)}=3^{(2)\times(2x-1)}[/tex]
Same as last time, the bases can be canceled out as the exponents have to be equal for this equation to be true.
[tex]3^{(-3)\times(4-x)}=3^{(2)\times(2x-1)}\\(-3)\times(4-x)=(2)\times(2x-1)[/tex]
Finally, solve for x:
[tex]-3(4-x)=2(2x-1)\\-12+3x=4x-2\\-10+3x=4x\\x=-10[/tex]
