The value to be added to both sides of the equation to make the left side a perfect square trinomial is; -36.
To make the equation x2 – 12x = 1 look similar to the completing the square kind of expression where the left hand side of the equation becomes a perfect square, we must do the following;
First, the completing the square method usually takes the form; x² + bx = (x + b/2)² + cIn this scenario, the term (x² - 12x) can be rewritten as; (x - 6)² - 36.
This so because the expansion of (x - 6)² becomes;
x² - 12x + 36.Therefore, there's a need to subtract 36 from both sides of the equation so that the equation x2 – 12x = 1 is retained.
Therefore, the value to be added to both sides of the equation to make the left side a perfect square trinomial is; -36.
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the product of a number and -3 increased by 8 is no less than 35
Answer:
-3x + 8 ≥ 35, hopefully that answers your question since you didn't really specify what you wanted your answer to be
PLEASE ANSWER I WILL GIVE A BRAINLIEST ANS THANKS!!!!<333!
Answer:
17. i
18. a
19. g
20. d
21. h
22. j
23. b
24. f
25. c
26. e
5.
The table shows a meteorologist's predicted temperatures for an October day in Sacramento,
California.
Sacramento, CA
Predicted
a) What is a quadratic model for these data?
Time Temperature ("F)
8 AM
10 AM
64
b) According to the regression equation, at what time
will the temperature be the highest?
12 P.M.
72
78
2 P.M.
4 P.M.
81
6 PM
76
Answer:
b
Step-by-step explanation:
Jeff drank 15 ounces of Gatorade after running a race. There were 20 ounces left. How
much Gatorade was originally in the container?
Variable:
Equation:
Solution:
2 (-2x + 4) = 2 (-2x + 4)
What is the solution to the inequality 13 x + 3 < 42 ?
Answer:
x < -15
Step-by-step explanation:
Here is the solution:
-3x-42 > 3
Add the numbers
-3x > 45
Divide both sides of the inequation by -3 and flip the inequality sign.
x < -15
IN THE FIGURE BC IS PARALLEL TO AD. AREA OF TRIANGLE ABC IS 100 cm². WHAT IS THE AREA OF TRIANGLE BCD
Answer:
150 cm2
Step-by-step explanation:
double of triangle abc is 200
this is in middle of both
If a 1/4 gallon of paint covers a 1/6 of a wall continuing at this rate how much paint is needed for the entire wall
Answer:
1 1/2 gallons
Step-by-step explanation:
1/4 * 6 = 6/4 = 3/2
1/6+1/6+1/6+1/6+1/6+1/6 = 1 whole wall
that means it takes 6 times 1/4 gallon to finish the wall
PLEASE ANSWER FAST
Type the correct answer in the box. Use numerals instead of words.
A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation y = mx + b.
A line is drawn on the coordinate plane that passes through the point (3,-6) and has a slope of 4. The y-intercept of the line is
Answer:
y-intercept is -18
Step-by-step explanation:
The total y=mx+b equation is y=4x-18, you can check in a calculator. I checked on a graphing calculator, and solved it via graphing on a piece of paper.
A line is drawn on the coordinate plane that passes through the point (3,-6) and has a slope of 4. The y-intercept of the line is -18.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
Given:
A line that passes through the point (x, y), with a y-intercept of b and a slope of m, can be represented by the equation,
y = mx + b.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
m = 4 (given)
So, the equation of the line is,
y - y₁ = m(x - x₁) equation 1
And here
x₁ = 3 and y₁ = -6.
Substituting the values to the equation 1,
y - (-6) = 4 (x - 3)
y+6 = 4x -12
y = 4x -18.
Comparing with the slope-intercept form,
we get y-intercept b = -18
Therefore, the equation is y = 4x -18 and y -intercept of the equation is -18
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What are the things circled called? You can answer the question fully too if you’d like. I really need help in understanding this.
can anyone help me with this problem with a full explanation?? thank you
Answer:
1, 3, 5
Step-by-step explanation:
let the 3 consecutive odd numbers be n , n + 2 , n + 4 , then
5(n + 2) = 2(n + n + 4) + 3 ( 5 times 2nd = twice sum of 1st and 3rd + 3 )
5n + 10 = 2(2n + 4) + 3
5n + 10 = 4n + 8 + 3
5n + 10 = 4n + 11 ( subtract 4n from both sides )
n + 10 = 11 ( subtract 10 from both sides )
n = 1
n + 2 = 1 + 2 = 3
n + 4 = 1 + 4 = 5
The 3 consecutive odd numbers are 1, 3, 5
Step-by-step explanation:
let the three consecutive odd number be x + 1 , x + 3 , x + 5
a/q
5 times the middle number = 5(x + 3) is
3 more than twice the sum of 1st and 3rd number = 3 + 2(x+1 + x + 5 )
so,
= 5 ( x + 3 ) = 3 + 2 ( x + 1 + x + 5 )
= 5x + 15 = 3 + 4x + 12
= 5x + 15 = 4x + 15
= -4x + 5x = 15 - 15 = 0
= x = 0
so, the 3 consecutive odd numbers are,
x + 1 = 1
x + 3 = 3
x + 5 = 5
and also a/q
5 times the middle number = 5×3 = 15
is equal to 3 more than twice the sum of 1st and 3rd number = 3 + 2(1+5) = 12 + 3 = 15
LHS = RHS
hope this answer helps you dear...take care and may u have a great day ahead!
Find the values of p and q such that 4x-5-x^2=q-(x+p)^2
Answer:
p = - 2 , q = - 1
Step-by-step explanation:
Rearrange the left side into standard form
- x² + 4x - 5
Factor out - 1 from - x² + 4x
= - (x² - 4x) - 5
Using the method of completing the square
add/subtract ( half the coefficient of the x- term)² tp x² - 4x
= - (x² + 2(- 2)x + 4 - 4) - 5
= - (x - 2)² - (- 4) - 5
= - (x - 2)² + 4 - 5
= - 1 - (x - 2)²
Comparing to q - (x + p)²
with p = - 2 and q = - 1
Write the equation of the line that passes through the given points. (-1. -1.5) and (0, – 3.5)
Xander goes to the movies with his family. Each family member buys a ticket and two boxes of popcorn. If there are five member of his family, let t represent the
cost of a ticket and p represent the cost of a box of popcorn. Write two different expressions that represent the total amount his family spent. Explain how each expressions describes the situation in a different way.
Answer:
10
Step-by-step explanation:
there are five members 2x5 = 10
4(x-8)+12 equal 2(2x-9)
(Answer explained)
4(x-8)+12=2(2x-9)
We move all terms to the left:
4(x-8)+12-(2(2x-9))=0
We multiply parentheses
4x-(2(2x-9))-32+12=0
We calculate terms in parentheses: -(2(2x-9)), so:
2(2x-9)
We multiply parentheses
4x-18
Back to the equation:
-(4x-18)
We add all the numbers together, and all the variables
4x-(4x-18)-20=0
We get rid of parentheses
4x-4x+18-20=0
We add all the numbers together, and all the variables
-2!=0
There is no solution for this equation
What is the sum of the addition equation 0.6 + 0.2 = ________? Use the decimal grid to help you solve. (2 points)
a decimal grid partitioned into ten equal parts, with six parts shaded orange and two parts shaded purple
Group of answer choices
0.4
0.6
0.8
1
Help me tyyyyyyyyyyyyyyy
Answer:
option number 3
Step-by-step explanation:
the sum of eight times a number and fifteen is seven. find the number.
Question 5 (4 points)
(04.05)
Which description best describes the graph? (4 points)
A graph is shown. The line begins at the origin and moves in a downward curve through the points 1 comma -1, 2 comma -3, and so on
a
Linear increasing
b
Linear decreasing
c
Nonlinear increasing
d
Nonlinear decreasing
Answer:
The answer is D
Step-by-step explanation:
Will mark brainliest
Please help with these two questions for me
refer to attachments
Attachment 1=Solution 1Attachment 2=Solution 2Solve for x ... please help
Answer:
[tex]7x + 49 \degree = 2x + 94\degree \\ 7x - 2x = 94\degree - 49 \degree \\ 5x = 45\degree \\ x = \frac{45}{5} \\ x = 9 \\ check \\ 7(9) + 49 = 112\degree \\ 2(9) + 94 = 112\degree[/tex]
D
100%
+
X
Which is the best estimate for V34 to the nearest whole number?
A. 36
ОО
B. 35
C. 17
O
O
D. 8
E. 6
Answer:
The answer would be B 35.
Step-by-step explanation:
34 is closest to 35.
Will mark 50 points for whoever answers correctly !
Answer:
Correctly !
Step-by-step explanation:
look at screen shot.ty
Answer:
See belowStep-by-step explanation:
We see the triangle ABC and AED with common vertex at the point A.
1. The center of dilation is the point A as it remains unchanged after dilation and the other vertices are lined up with the point A.
2. Since the scale factor is 1/2 < 1, the dilation is a smaller triangle, which is AED
9.2 g of sugar is needed for every cake made how much sugar is needed for six cakes.
Answer:
55.2
Step-by-step explanation:
First Multiply
9.2*6
Answer:52
Step-by-step explanation:9.2 g of sugar is needed for every cake made how much sugar is needed for six cakes.
Andre lives 1.6 km from school. Kelsey lives 50% as far from school as Andre. How far, in km, does Kelsey live from school?
Answer:
0.8 km
Step-by-step explanation:
just divide 1.6km by 2
is -10 equal to 4 what is the answer
Simplify
x + x + x + y X y X y
Answer:
3x+y³
Step-by-step explanation:
x+x+x+y×y×y3x+y³ANSWER FOR A CHANCE TO WIN A TESLA MODEL X
(image down below)
Answer:
all right angles are congruent (90 degrees)
Step-by-step explanation:
I don't know if there are choices for you, but all right angles are congruent, meaning they are the same measurement
PLEASE ANSWER ASAP BREAIANEST!!!!
Answer:
I believe it is -11/8 cups