Answer:
y = 2x² - 72 = 0
Step-by-step explanation:
2(x - 6)(x + 6) = 0
2(x² - 36) = 0
2x² - 72 = 0
The quadratic equation with roots 6 and -6 and a leading coefficient of 2 is 2x² - 72 = 0 represents the quadratic equation.
A quadratic equation with roots at 6 and -6 can be written in factored form as:
(x - 6)(x + 6) = 0
To find the quadratic equation with the leading coefficient of 2, we multiply both sides of the equation by 2:
2(x - 6)(x + 6) = 0
Expanding the equation:
2(x² - 36) = 0
Distributing the 2:
2x² - 72 = 0
Therefore, the quadratic equation with roots 6 and -6 and a leading coefficient of 2 is:
2x² - 72 = 0
To know more about quadratic equation click here :
https://brainly.com/question/30111792
#SPJ2
TIMED QUESTION HELP FAST
Answer:
D
Step-by-step explanation:
A and B cannot be the right answers, because the left part of the graph is inclusive (so the right answer has to include [tex]x\leq 1[/tex] instead of [tex]x<1[/tex]).
C can also not be the right answer, because for [tex]x=0[/tex], [tex]y=-1[/tex] instead of [tex]2(0)^2 = 0[/tex].
So D is the correct answer by elimination.
If an object has a density of 2 g/cm3, and it is placed in a tank of water, will the object float or sink in water? Explain your answer.
Answer:
The object will sink
Step-by-step explanation:
I) The density of water is 1g/cm³.
II) The object's density is greater than 1g/cm³, thus it will sink.
Write an
equivalent expression using the distributive property.
1/4(4x - 6)
Answer:
Step-by-step explanation:
Distributive property: a*(b + c)= (a*b) + (a*c)
[tex]\frac{1}{4}(4x - 6) = 4x*\frac{1}{4} - 6*\frac{1}{4}\\\\[/tex]
[tex]= x -3*\frac{1}{2}\\\\=x - \frac{3}{2}[/tex]
Mieko has 4 times as many pencils as Holden. Holden has 8 pencils.
How many pencils, p, does Mieko have?
Answer:
meiko has 32 pencils
Step-by-step explanation:
8×4=32
Meiko has 32 pencils.
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, Mieko has 4 times as many pencils as Holden. Holden has 8 pencils.
Let Mieko has x pencils,
Establishing the equation,
Therefore, according to question,
x = 4 × 8
x = 32
Hence, Mieko has 32 pencils
Learn more about equations, click;
https://brainly.com/question/29657983
#SPJ5
Find both the area and the perimeter of the semi circle
Answer/Step-by-step explanation:
Area of a semicircle = ½πr²
Perimeter of a semicircle = πr + d
7. d = 14 m
r = ½ of d = 7 m
Area = ½*π*7² = ½*π*49
✅Area = 76.97 m² (nearest hundredth)
Perimeter = π*7 + 14
✅Perimeter = 35.99 m (nearest hundredth)
8. d = 35 in.
r = ½ of d = 17.5 in.
Area = ½*π*17.5² = ½*π*306.25
✅Area = 481.06 in.² (nearest hundredth)
Perimeter = π*17.5 + 35
✅Perimeter = 89.98 in (nearest hundredth)
trapezoid.mp4
Find the value of x and y.
Rek2
20
x
12
Y
x =
y =
9514 1404 393
Answer:
x = 12y = 20Step-by-step explanation:
The figure only makes sense as a kite, in which case left sides are equal and right sides are equal.
x = 12
y = 20
Please help me out!
Explain the differences between properties of equality
and properties of inequality when solving equations and
inequalities.
Step-by-step explanation:
step 1. properties of equality have an "=" in the equation.
step 2. properties of inequality have a <, <=, >=, or a >.
When a teacher counted her students in groups of 4, there were two students left over. When she counted them in groups of 5, she had 1 student left over. If 15 of her students were girls and she had more girls than boys, how many students did she have?
Factorise
x^2 - 5x - 6
Answer:
(x+1)(x-6)
thats the ans :)
The graph shows the rate at which two fuel tanks are being filled. Which statement best interprets the distance shown on the graph?
Answer:
Tank B has 4 more gallons than tank A.
Step-by-step explanation:
Which of the following linear equations below is equivalent to 10x−5y=−15?
a. y = 3x + 2
b. y = 2x + 3
c. y = 3x - 2
d. y = 2x - 3
Answers:
B. y = 2x + 3
hope this helps
someone help me please
39 - 24 + 6m
Which of the following describes 6m in the expression above?
A. factor
B. product
C. coefficient
D. sum
Phyllis invested 32000 dollars, a portion earing a simple interest rate of 5 percent per year and the rest earning a rate of 6 percent per year. After
one year the total interest earned on these investments was 1820 dollars. How much money did she invest at each rate?
9514 1404 393
Answer:
$10,000 at 5%$22,000 at 6%Step-by-step explanation:
Let x represent the amount invested at 6%. Then 32000-x is the amount invested at 5%, and the total interest earned is ...
0.06x +0.05(32000 -x) = 1820
0.01x +1600 = 1820 . . . . simplify
0.01x = 220 . . . . . . . . . . subtract 1600
x = 22,000 . . . . . . . . . . . multiply by 100
32000 -x = 10,000
Phyllis invested $22,000 at 6% and $10,000 at 5%.
The unit prices and quantities for two goods for two years
are shown in the table below. Assume that consumers are
purchasing 8 units of water and 10 loaves of bread. Also
assume that Year 1 is the base year.
Year
Price of Water Price of Bread
(dollars) (dollars)
$1.00
$2.00
1
2
2.00
3.00
Answer: $28
Step-by-step explanation:
The price of water in Year 1 is $1 per unit. There are 8 units so their value is:
= 8 * 1
= $8
Price of a loaf of bread is $2. The basket contains 10 loaves of bread. Value is:
= 10 * 2
= $20
Total value of the basket in year 1 is:
= 20 + 8
= $28
I need help with this
Answer:
76
Step-by-step explanation:
We know that the two angles must add up to 90 which means that
12+x-2=90
solve for x
14+x=90
x= 76
Can someone help me with 13-16 I’ll mark brainliest please guys I’m begging
How to solve your problem:
2a+13−0+65b
Simplify:
1. Add the numbers -
2a+13+0+65b = 2a+13+65b
2. Rearrange terms
2a+13+65b = 2a+65b+13
Solution: 2a+65b+13
The answer is B.
f(n)=f(n-1)+3; f(1) = 7
A ____ is a term with a number part but no variable. (WILL GIVE BRAINLIEST) (❁´◡`❁)
Answer: it’s a Constant!
Step-by-step explanation:
What is an equivalent expression for 3(x-12)? *
O
3x-12
3x+12
O
3x-36
3x+36
Answer:
3x-36 is equivalent to 3(x-12)
Solve 4x+x+4 = 8x -3x + 4
Answer:
x ∈ R
Step-by-step explanation:
4x+x+4=8x−3x+4
Combine 4x and x to get 5x.
5x+4=8x−3x+4
Combine 8x and −3x to get 5x.
5x+4=5x+4
Subtract 5x from both sides.
5x+4−5x=4
Combine 5x and −5x to get 0.
4=4
Compare 4 and 4.
True
This is true for any x.
x ∈ R
Which one of the following statements is FALSE?
A
sin 70' = cos 20
B sin 15° = cos 65
С
COS 43 = sin 47
D
sin 12 = cos 78
Answer:
D because you have to cos
Answer:
B and D
Step-by-step explanation:
sin(15)=0.25
cos(65)=0.42
The expression (2x + 6) + x represents the perimeter of an isosceles triangle. If x represents the length of one side of the triangle, explain how you can use Distributive Property to find the length of each of the two equivalent sides?
Answer:
x+3
Step-by-step explanation:
x= one side of the triangle
(2x+6)=two sides of the isosceles triangle
Factor (2x+6) which is 2(x+3)
So, the length of each side is x+3.
35 = 5n
solution with work shown! please help as fast as you can
I think................n=7..........
Answer:
what are you finding? n?
Step-by-step explanation:
35 = 5 x n
bring over
35/5 = n
7 = n
if you are finding n, this is the answer
hope it helps
PLEASE HELP I ATTACHED A PICTURE
Answer:
option 2
Step-by-step explanation:
x is going away from 7 in a positive direction which means greater than. the fact that it is just greater than not equal to means that there is a black circle instead of a filled in one because it excludes that number.
Answer:
Option 2
Step-by-step explanation:
If the inequality is "x > 7" it means that if it was to be represented on a number line, all values that "c" could possibly take would be located to the right (on the number line) of 7. Now there only two options that follow this statement, those options are options 2 and 4. But there is another thing we must understand. x must be larger than 7 (it can not be equal to 7), therefor option 2 is right since it follows the second statement while option 4 would represent inequality "x ≥ 7".
Hello, please help.
Find the value of x:
x^2 + 3x^3 - 2x + 9 = 24 + 54x + 92x^2 - 2x^3
Answer:
-91x² + 5x³ - 56x -15 = 0
Step-by-step explanation:
x² + 3x³ - 2x + 9 = 24 + 54x + 92x² - 2x³
x² + 3x³ - 2x + 9 - 92x² = 24 + 54x + 92x² - 2x³ - 92x²
-91x² + 3x³ - 2x + 9 + 2x³ = 24 + 54x -2x³ + 2x³
-91x² + 5x³ - 2x + 9 - 54x = 24 + 54x - 54x
-91x² + 5x³ - 56x + 9 - 24 = 24 - 24
-91x² + 5x³ - 56x -15 = 0
Hope this helps!
Maybe brainliest?
X + Y = 2. y =2x + 5 write the solution as a ordered pair
Answer:
(-1, -2)
x=-1
y=-2
Step-by-step explanation:
x+y=2
y=2x
Knowing this information, we can substitute y for 2x+5 in the first equation.
x+2x+5=2
3x+5=2
3x=-3
x=-1
Now, plug x into the second equation.
y=2(-1)
y=-2
The length of each side of parallelogram RSTU is multiplied by three to create parallelogram WXYZ.
What is the ratio of the area of parallelogram RSTU to the area of parallelogram WXYZ?
A.1:3
B.1:6
C.1:9
D.1:27
E.1:81
Answer:
I believe A?
Step-by-step explanation:
If 2.22 moles of ammonia (NH3 ) decomposes according to the reaction shown, how many moles of hydrogen (H2 ) are formed? A. 1.11 moles of H2 B. 3.33 moles of H2 C. 6.66 moles of H2 D. 2.22 moles of H2
Answer:
C. 3.33 moles
Step-by-step explanation:
Ammonia decomposes
[tex]2NH_3\rightarrow N_2+3H_2[/tex]
We have to find the moles of hydrogen formed in 2.22 moles of ammonia.
From the reaction
2 moles of ammonia gives 3 moles of hydrogen
1 mole of ammonia produce hydrogen=3/2 moles
2.22 moles of ammonia produces hydrogen=[tex]\frac{3}{2}\times 2.22[/tex] moles
Number of moles of hydrogen formed by decomposition of 2.22 moles of ammonia
=[tex]\frac{6.66}{2}=3.33[/tex]moles
Hence, 3.33 moles of hydrogen are formed in 2.22 moles of ammonia.
Option C is true.
C. 3.33 moles
A manufacturing company is shipping a certain number of orders that need to weigh between 193 and 194 pounds in order to ship. Use the dot plot below to answer the following questions.193193.1193.2193.3193.4193.5193.6193.7193.8193.9194Step 1 of 3 : How many orders did the company ship between 193 and 194 pounds
Answer:
15 orders
Step-by-step explanation:
The computation of the orders did the company ship between 193 and 194 is given below:
= 1 dot + 2 dot + 3 dot + 8 dot + 1 dot
= 15 orders
We just simply count the total dots shown in the attached image in order to determine the number of orders