Answer:
4) [tex]y=-\frac{1}{3} (x-2)^2-3[/tex] 7) [tex]2x^2+12x+18[/tex]
5) [tex](-2,-3)[/tex] 8) [tex](0,-3)[/tex]
Step-by-step explanation:
7) Add [tex]2y^2[/tex] to both sides of the equation.
[tex]x-12y-18=2y^2[/tex]
Add 12y to both sides of the equation.
[tex]x-18=2y^2+12y[/tex]
Add 18 to both sides of the equation.
[tex]x=2y^2+12y+18[/tex]
Use the form of [tex]ax^{2} +bx+c[/tex] to find the values of a, b, and c.
a = 2, b = 12, c = 18
Substitute the values of a and b into the formula [tex]d=\frac{b}{2a}[/tex]
[tex]d=\frac{12}{2(2)}[/tex]
Simplify the bottom.
d = 3
Find the value of e using the formula e = [tex]c-\frac{b^2}{4a}[/tex]
Raise 12 to the power of 2
[tex]e=18-\frac{144}{4(2)}[/tex]
Multiply 4 by 2.
[tex]e=18-\frac{144}{8}[/tex]
Divide 144 by 8.
[tex]e=18-1[/tex] · 18
Multiply [tex]-1[/tex] by 8.
[tex]e = 18-18[/tex]
Subtract 18 from 18.
e = 0
Substitute the values of a, d, and e into the vertex form [tex]a(x+d)^2+e[/tex].
[tex]2(y+3)^2+0[/tex]
Set x equal to the new right side.
[tex]x=2(y+3)^2+0[/tex]
Use the vertex form, [tex]x=a(y-k)^2+h[/tex], to determine the values of a h & k.
a = 2
h = 0
k = [tex]-3[/tex]
Find the vertex [tex](h,k)[/tex]
[tex](0,-3)[/tex]
I need help with this pls
Answer:
0.78
Step-by-step explanation:
The constant of proportionality is the "k" in y = kx.
y is the dependent variable (whatever you do to x changes y)
x is the independent variable (it doesn't change in relation to y)
Your pounds of apples is your x
Your cost is your y
From the first row: 0.78 = (k)(1), which simplifies to k = 0.78
If you want to test it out, pick another line:
y = kx
3.12 = (k)(4)
divide both sides by 4
k = 0.78
It's great when tables like this have something in the x column that is a 1...because then the y is also the k
Expand and simplify:
5(x - 2) + 3(1 - x)
(with the steps)
Step-by-step explanation:
5x-10+3-3x
5x-3x-10+3
2x-7
hope it helps
Answer:
2x-7
Step-by-step explanation:
See image below:)
Don’t answer if you don’t know thanks. No links!
Answer:
12 by 12
Step-by-step explanation:
The area of a square is [tex]s^2[/tex], where [tex]s[/tex] is side length of the square. Therefore, we have:
[tex]s^2=144,\\s=\sqrt{144}=12[/tex]
Since all side lengths of a square are equal, the dimensions are 12 by 12.
Answer:
Step-by-step explanation:
area of square=l^2
144=l^2
[tex]\sqrt{144[/tex]=l
12=l
therefore the dimensions of square is 12 x 12.
Does anyone know how to do this?
Answer:
sorry ma g dont know this but my boy aaron yeager is smart he can help u 839
Step-by-step explanation:
Which numbers are divisible by 10?
A)635
B)950
C)953
60 ÷ 6 = (36 ÷ 6) + (24 ÷ __)
I don't know this
Answer:
6
Step-by-step explanation:
60÷6 = 10
so we know the right side of the equal sign must equal 10
36÷6 = 6
now we know that (24÷n) must equal 10-6
we can write and equation like this:
24/n = 4
cross-multiply to get:
4n = 24
n = 24/4
n = 6
Answer:
60 ÷ 6 = ( 36 ÷ 6) + (24 ÷ ___)
10 = 6 + (24÷6)
10 = 6 + 4
10 = 10
The ratio of boys to girls in a school is 9 : 10 whats does this ratio mean
Answer:
The ratio means that for every 9 boys there are 10 girls
Step-by-step explanation:
if ∠7=95 what is the measure of angle 6
Answer: If angle 7 is 95 degrees measurement then angle 6 would be85?
Step-by-step explanation:
Solve for a. 2.4a + 8 = 27.2
Answer:
Hello! answer: a = 8
Step-by-step explanation:
2.4 × 8 = 19.2
19.2 + 8 = 27.2 therefore a = 8 hope that helps!
Answer:
a = 8
Step-by-step explanation:
2.4a + 8 = 27.2
2.4a + 8 - 8 = 27.2 - 8
2.4a = 19.2
2.4a ÷ 2.4 = 19.2 ÷ 2.4
a = 8
Express cos I as a fraction in simplest terms.
Answer:
Solution given
Cos I=adjacent/hypotenuse=16/34
8/17 is a required answer.
The value of the trigonometric ratio of cosI is 8/17 if the length of the side adjacent to the angle is 16 units and the length of the hypotenuse is 34.
What are the trigonometry and trigonometric ratio?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle and the trigonometric ratio are defined as the ratio of the pair of sides of a right-angled triangle.
We have a right-angled triangle in the picture.
If we take ∠I to calculate the ratio of cosec.
We know the cos is the ratio of the side adjacent to the angle to the side opposite to the right angle.
The length of the side adjacent to the angle A = 16 units
The length of the side opposite to the angle H = 34 units
Then
[tex]\rm cosI = \frac{A}{H}[/tex]
[tex]\rm cosI = \frac{16}{34}[/tex]
[tex]\rm cosI = \frac{8}{17}[/tex]
Thus, the value of the trigonometric ratio of cosI is 8/17 if the length of the side adjacent to the angle is 16 units and the length of the side opposite to the right angle is 34.
Know more about trigonometry here:
brainly.com/question/26719838
simplify
a) 5/4
b) 7/6
c) 6/7
Answer:
7/6
Step-by-step explanation:
x/4 + x/3
-----------------
x/2
Multiply by the common denominator, 12
12(x/4 + x/3)
-----------------
12 *x/2
Distribute
3x + 4x
-----------------
6x
7x
----
6x
Simplify
7/6
Answer:
b) [tex] \blue{\dfrac{7}{6}} [/tex]
Step-by-step explanation:
[tex] \dfrac{\frac{x}{4} + \frac{x}{3}}{\frac{x}{2}} = [/tex]
[tex] = \dfrac{\frac{3x}{12} + \frac{4x}{12}}{\frac{x}{2}} [/tex]
[tex] = \dfrac{\frac{7x}{12}}{\frac{x}{2}} [/tex]
[tex] = \dfrac{7x}{12} \times \dfrac{2}{x} [/tex]
[tex] = \dfrac{7x \times 2}{12 \times x} [/tex]
[tex] = \blue{\dfrac{7}{6}} [/tex]
What is the value of y in the solution to the system of equations?
1/3X + 1/4Y = 1
2X - 3Y = -30
A. -8
B. -3
C. 3
D. 8
Answer: y = 8
Step-by-step explanation:
Find the mean absolute deviation in the following data set: 23, 42, 36, 63, 31
Answer:
39.2 is the mean
the deviation is 15.2
Step-by-step explanation:
the mean of a set of numbers is the sum divided by the number of terms = 39.2
the deviation measures the spread of a data distribution of the sample = 15.2
Answer:
10.8
Step-by-step explanation:
To find the mean absolute deviation, first you need to find the mean. To find the mean, add up 23 + 42 + 36 + 63 + 31 and you'll get 195. Divide 195 by the total of numbers, which is 5, and you'll get 39.
After finding the mean, you need to find the distance between the mean, which is 39, and the numbers given. 23 is 16, 42 is 3, 63 is 24, 31 is 8, and 36 is 3. Then, you'll need to calculate the mean of the distances that you got.
16 plus 3 plus 24 plus 8 plus 3 = 54. Once you got this, divide 54 by the total of numbers, which is 5, and you'll get 10.8.
I need help with number 1
Answer:
Likely is the answer.
:))))
Ive done a I just need b :)
Answer:
Step-by-step explanation:
Simon needs 1000 ML of milk
Craig needs 60 G of butter
Answer:
Craig needs 7.5g of butter to make 12 pancakes.
Step-by-step explanation:
To calculate how many times you need to multiply 8 by to make 12, simply divide 12 by 8. This gives you 1.5.
1.5*5 =7.5
So Craig needs 7.5g of butter to make 12 pancakes.
y=1/3x+11/15 find x if y=6
Step-by-step explanation:
plug in y
6=1/3x+11/15
multiply both sides by 15 to get rid of the fraction
90 = 5x +11
move terms to make them like terms
-5x =11- 90
-5x = -79
divide both sides by -5
evaluate for x
what is the common factor of 2x^3-4x^2-15x
Answer:
kbsishodhohror keviegieh
Answer:
[tex]2 {x}^{3} - 4 {x}^{2} - 15x \\ = x( {2x}^{2} - 4x - 15) \\ [/tex]
You saved $20 per week to purchase one of three bikes in the store near your home. The starting price for the bikes is $130.
Write and solve an equation to find the numbers of weeks you need to save money to purchase a bike.
Your parents give you $60 to help you buy the new bike. How does this change your answer to part 1? Explain.
Answer:
4 weeks
Step-by-step explanation:
basic math
Answer:
6.5 weeks without parental help, 3.5 weeks with help from your parents.
Step-by-step explanation:
The Equation is:
Y = 20x
Y = Starting price for bikes
X = # of weeks
Therefore:
$130 = 20x
This can be simplified by solving for x
x = 130/20
x = 6.5 weeks
If your parents gave you $60 to help buy the bike the equation would be written as:
Y = 20x + 60
$130 = 20x + 60
Subtract 60 from both sides to get:
$70 = 20x
Solve for x
x = 70/20
x = 3.5 weeks
Which option shows the expression correctly combined? 8 - 3(4 -9x) *
20-45x
23x
27x-4
Answer:
27x-4
Step-by-step explanation:
Find the value of x, y, and z if
5
X=
y =
Z=
Answer:
x = 12
y = 9
z = 11
Step-by-step explanation:
so, let's just do all the calculations in there :
(3×5)⁴ = 3⁴×5⁴
(2×3)⁵ = 2⁵×3⁵
(2×5)⁷ = 2⁷×5⁷
multiplying all 3 terms is then
3⁴×5⁴×2⁵×3⁵×2⁷×5⁷
more let's "group" and combine these terms based on the bases of the power operations, as we need to get an expression showing 2, 3 and 5 with their powers.
so, for the base of 2 we have
2⁵×2⁷ = 2¹²
for the base of 3 we have
3⁴×3⁵ = 3⁹
fire the base of 5 we have
5⁴×5⁷ = 5¹¹
so we get
2¹² × 3⁹ × 5¹¹
=>
x=12
y=9
z=11
Please help!!!! I'll give brainlist
Answer:
Hello! answer: y = 122
Step-by-step explanation:
360 - 116 = 244 244 ÷ 2 = 122 therefore y = 122
Hope that helps!
Answer:
x= z (vertically opposite angles)
x+z= 116
x+x = 116
2x= 116
x=116/2
x= 58
x+y= 180°(straight angle)
58°+y= 180°
y= 180°-58°
y = 122°
The base pyramid below has a dimension of 16" x 16" a slant height of 17 inches in an altitude of 15 inches find the total surface area
Answer:
800 in²
Step-by-step explanation:
Applying,
TSA (A) = Area of the base+ Lateral area of the
A = lw+1/2ps................ Equation 1
Where l = lenght of the base, w = width of the base, p = perimeter of the base, s = slight height of the base.
But,
p = 2(l+w)............. Equation 2
Substitute equation 2 into equation 1
A = lw+1/2[2(l+w)s)
A = lw+s(l+w)............. Equation 3
From the question,
Given: l = 16 in, w = 16 in, s = 17 in
Substitute these values into equation 3
A = (16×16)+17(16+16)
A = 256+544
A = 800 in²
how do you convert 3.45 pounds to grams
Identify the center and the radius of the circle.
(x - 1)2 + (y + 3)? = 4
Comparing with Equation of circle( x - h )²+ ( y - k )² = r²,
center of circle = (h,k) = (1,-3)
Radius of circle =√4 = 2unit
with a diameter of about 64 inches. What is the circumference of this large front wheel?
Bob rents a dump truck. The dump truck costs
$85 per day and $0.35 per mile. Which expression
below would help Bob figure out how much (p) the
rental will cost him for a day?
Answer:
[tex]\text{d) }p=0.35x+85[/tex]
Step-by-step explanation:
Since the 85 dollar fee is fixed, there should be no coefficient or constant that accompanies it. However, the total cost of the miles is directly proportional to the number of miles he drives. Thus, 0.35 should be accompanied by a constant that represents the total number of miles he drove. In this case, that constant is [tex]x[/tex] and [tex]0.35x[/tex] will represent the cost from the number of miles he drives in addition to the 85$ flat fee, hence [tex]\implies \boxed{\text{d) }p=0.35x+85}[/tex]
Pls help me i need help with this
my answer is in this picture.
Math help please show work
Answer:
You can measure the area of the yard but measuring the length and width and then multiplying. Then you can divide by the amount of sod that is used to cover to see how many bags that need to be bought.
Step-by-step explanation:
This should be good :)
pls mark brainliest:)
I'll give a brainliest
Answer:
x = 9.4
Step-by-step explanation:
it's a right triangle so you can use Pythagorean Theorem: a² + b² = c²
7.1² + 6.2² = x²
50.41 + 38.44 = x²
88.85 = x²
√88.85 = x
9.4 = x
Section 1 - Question 1
Stanley attempted to simplify the expression below.
4. (2.5x - 1.25) – 3x
His work, step by step, Is shown below.
Step 1: -4. {(2.5x + (-1.25)} – 32
Step 2: - 10x + (-5) - 3:0
Step 3:- 10.2 - 3x + (-5)
Step 4: - 13x - 5
In which step did he make his first error simplifying the expression?
A
Step 1
B
Step 2
Answer:
a and bwhich step did he make his first error simplifying the expression?
A
Step