The equation y = x2 – 4 + y + 2 = 0 can be solved by completing the square.
What is equation?An equation is a mathematical statement that to express our equal. Is consist of two expression separated by an equal sign and can contain numbers, variables and operators. Equation get be used to solve problems make prediction and describe relationship between different quantities. Equation can be can also be used to represent physical laws and other phenomena.
First, subtract y from both sides of the equation to get x2 - 4 + 2 = y. Then, subtract 2 from both sides of the equation to get x2 - 6 = y. Finally, add 9/4 to both sides of the equation to get (x - 3/2)2 = 9/4 + y.
This equation can be solved by taking the square root of both sides to get x - 3/2 = ±√(9/4 + y). Finally, add 3/2 to both sides of the equation to get x = 3/2 ±√(9/4 + y).
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Ms.Lee bought some Reese and a bag of chips. They cost $4.36 altogether. The chips cost $1.60 more than the Reese. How much did the Reese cost?
Answer: $1.38
Step-by-step explanation:
Let the value of the Reese be represented by x
Since the chip cost $1.60 more than the Reese, then the chip will be:
= x + 1.60
Since they cost $4.36 altogether, the value of the Reese will be:
x + (x + 1.60) = 4.36
2x + 1.60 = 4.36
2x = 4.36 - 1.60
2x = 2.76
x = 2.76/2
x = 1.38
The Reese cost $1.38
Answer:
1.36
Step-by-step explanation:
If Lin runs21 laps at the same rate will it take her how many minutes
Answer:
25.2
Step-by-step explanation:
which set of line segments can be used to construct a triangle
Determine the similarity ratio (large to small) of the similar figures. A) 1:2 B)2.1 C) 3:1 D 3.2.
Answer:
1:2
Step-by-step explanation:
isabels class has collected 90 cans in a food drive they plan to sort the cans into n bags, with an equal number of cans in each bag. write an expression to show how many cans there will be in each bag.
Answer:
cn=90, so long as c and n are whole numbers
Step-by-step explanation:
There are two variables in this equation you have here. One, n the number of bags, has already been given to you, because there can be any number of bags. The other, weĺl call it c, is the number of cans in each bag. Because there could be any number of bags, and the number of cans needed in each one is also a variable, you are left with more than one option. Any solution will work so long as the number of cans, c, per bag, n, is equal to the total, 90. There could be 9 cans in 10 bags, or 10 cans in 9 bags, or 15 cans in 6 bags or vice versa. The only way to define it for one answer is to have a set number of bags or cans per bag. Hope this helps!
Please Hellppp!!!! PLZ ASAP!! Need help!!! Answer this question.
Answer:
n,n
I think
Step-by-step explanation:
Answer:
n,n
Step-by-step explanation:
Jamal earns earns a year-end bonus of $32500 and puts it in 3 one-year investments that that pay $1579.50 in simple interest. Part is invested at 3%, part at 4%, and part at 6%. There is $9750 more invested at 6% than at 3%.
A. Create a system of equations that represents this ratio.
B. Find the amount invested at each rate.
Answer:
Fjjfhfuf
Step-by-step explanation:
Ffifuuf
Kelly met Jesse and Liza at the max for breakfast. The graph shows Kelly’s speed during her 12 minute drive
Answer:
D. [tex]-360\,\frac{km}{h}[/tex]
Step-by-step explanation:
Physically speaking, average acceleration ([tex]\bar a[/tex]), measured in kilometers per square hour, is defined by following formula:
[tex]\bar a = \frac{v_{f}-v_{o}}{t_{f}-t_{o}}[/tex] (1)
Where:
[tex]v_{o}[/tex], [tex]v_{f}[/tex] - Initial and final speed, measured in kilometers per hour.
[tex]t_{o}[/tex], [tex]t_{f}[/tex] - Initial and final instant, measured in hours.
The initial and final instants are, respectively:
[tex]t_{o} = 5\,min\times \frac{1\,h}{60\,min}[/tex]
[tex]t_{o} = 0.083\,h[/tex]
[tex]t_{f} = 9\,min \times \frac{1\,h}{60\,min}[/tex]
[tex]t_{f} = 0.15\,h[/tex]
If we know that [tex]t_{o} = 0.083\,h[/tex], [tex]v_{o} = 60\,\frac{km}{h}[/tex], [tex]t_{f} = 0.15\,h[/tex] and [tex]v_{f} = 36\,\frac{km}{h}[/tex], then the average acceleration of Kelly is:
[tex]\bar a = \frac{36\,\frac{km}{h}-60\,\frac{km}{h}}{0.15\,h-0.083\,h}[/tex]
[tex]\bar a = -358.209\,\frac{km}{h^{2}}[/tex]
The correct answer is D.
Answer:
Step-by-step explanation:
Plz help The table shows the linear relationship between the
amount of chocolate chips in ounces and the amount
of oats in cups used in a dessert recipe.
What is the rate of change of the amount of
chocolate chips with respect to the amount of oats
used in this recipe?
Dessert Recipe
oz per cup
Oats
(cups)
Chocolate Chips
(oz)
3 oz per cup
100
3
6
2
oz per cup
A
12
D
2 oz per cup
18
Answer:
Step-by-step explanation:
2 2/3
Y=6-4(2). What is the value of y=6-4x when x=2
Answer:
y = -2
Step-by-step explanation:
Somebody help me.....
Answer:
in my knowledge
26 , 31 , 36 , 41 , 46
rule:5
cause 26+5=31
31+5=36
36+5=41
41+5=46 and so on...
Geometry please help thanks
Answer:
the answer is SSS (side-side-side)
Step-by-step explanation:
since the picture shows red tick marks on each side it's showing you they are all congruent by the sides which is the method SSS (side-side-side)
I fell asleep in class and Im failing, pleaseeee help!
[tex]\huge{\underline{\underline{\mathcal{\bf\pink{AnSwer}}}}}[/tex]
8.) ∆MRP
9.) SSS
Reason:- MR is the common side in both the triangles hence, ∆MRX is congruent to ∆MRPSince, MR is common side XR = MP MX = PRthey both are congruent by SSS
help please!! solve for x
hellpppppppppppppp pleaseeee
Answer:
x=3+√2 or x=3−√2
Step-by-step explanation:
For this equation: a=1, b=-6, c=7
1x2+−6x+7=0
Step 1: Use quadratic formula with a=1, b=-6, c=7.
x=
−b±√b2−4ac
2a
x=
−(−6)±√(−6)2−4(1)(7)
2(1)
x=
6±√8
2
x=3+√2 or x=3−√2
What description is correct for the polynomial?
3x4 + 2x - 9
A quadratic trinomial
B quartic trinomial
C quadratic binomial
D cubic binomial
Answer:
The polynomial 3x^4 +2x - 9 is a quartic (it is to the 4th power) and a trinomial (3 terms).
Four times a number plus three times the number is the same as 14 more than
5 times the number. Find the number.
Answer: Number equals 7
Step-by-step explanation:
4x+3x=5x+14
7x=5x+14
-5x -5x
2x=14
x=7
Finding missing angles
please help!! i really need it
Answer:
95°
Step-by-step explanation:
The angles have the same degrees
HELP I NEED HELP ASAP
Answer:
D
Step-by-step explanation:
6x^2 + 10x^2 = 16x^2
2x-x = x
-8 + 14 = 6
16x^2 + x + 6
convert 40/99 into a decimal round to the nearest tenth if possible
Answer:
.40
Step-by-step explanation:
convert the fraction to a decimal by dividing the numerator by the denominator.
PLEASE HELPPP ASAP I REALLY NEED HELP IVE BEEN DOING THIS FOR 3 HOURS
Answer:
Step-by-step explanation:
72% of the students in Math 6 at AZVA are currently mastering there lessons. If 306 students are mastering their math lessons, how many students are in math 6?
Answer:
425
Step-by-step explanation:
72%of425 is 306
Answer:
306/x = 72/100
72x= 306 x 100
72x = 30600
X = 425
Step-by-step explanation:
please please help asap :)
Answer:
12
Step-by-step explanation:
to get from 3 to 6, 3 is multiplied by two
multiply the 4 by two to give you 8
line WY = 8
X = 8 + 4
X = 12
What is the slope intercept ?
Answer:
y=mx+b
Step-by-step explanation:
that is the equation
A fish in an aquarium is 4ft long. A scale model of the fish is 2in long. What is the scale factor
Help me pls ://////
Answer:
Sample size is 50. to Problem B= 40
Step-by-step explanation:
Mary got a sales job at her father's company. She was paid $9 per hour plus a 5%commission on her sales. Last week sheworked 40 hours with sales of $5560. How much was she paid?
Answer:
Mary was paid $638
Step-by-step explanation:
Mary was paid 360 $ for working alone because
$40 * 9 = $360
Mary was paid $278
5 % * $5560 = $278
360 + 278 = 638 $
Five friends went to the amusement park and spent a total of $165. Each person had to buy an admission ticket, then each decided to
spend $8 on lunch. What was the cost of each admission ticket?
$31.40
Step-by-step explanation:
165-7=157÷5=31.40
Complete the conversion. Enter your answer in the box. 7 c = pt
Answer:
7 cups = 3.5 pints
Step-by-step explanation:
Find the 10th term 1.2.4.8.
Answer:
512
Step-by-step explanation:
1+1 = 2
2+2 = 4
4+4 = 8
8+8 = 16
16+16 = 32
32+32 = 64
64+64 = 128
128+128 = 256
256+256 = 512
they add the answer by itself. hope this helps
