Answer:
It's 16
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
x^2+(x-4)^2-(80^2)=0
Step by step solution :
STEP
1
:
1.1 80 = 24•5
(80)2 = (24•5)2 = 28 • 52
Equation at the end of step
1
:
((x2) + ((x - 4)2)) - (28•52) = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
2x2 - 8x - 6384 = 2 • (x2 - 4x - 3192)
Trying to factor by splitting the middle term
3.2 Factoring x2 - 4x - 3192
Write f(x) = 2x2 – 44x 185 in vertex form. to write f(x) = 2x2 – 44x 185, factor out from the first two terms. next, form a perfect square trinomial keeping the value of the function equivalent: f(x) = 2(x2 – 22x 121) 185 – 242 the function written in vertex form is f(x) = (x – )2 .
The quadratic function given when converted to vertex form will be: [tex]f(x) = 2(x-11)^2 -57[/tex]
What is vertex form of a quadratic equation?If a quadratic equation is written in the form
[tex]y=a(x-h)^2 + k[/tex]
then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)
We first take out coefficient of x squared, and then inside the bracket, we try to make perfect square like situation.
For this case, the given quadratic function is:
[tex]f(x) =2x^2 -44x + 185\\[/tex]
Converting this to the vertex form, we get:
[tex]f(x) =2x^2 -44x + 185\\\\f(x) = 2(x^2 -22x) + 185\\f(x) = 2(x^2 -2 \times 11 \times x + 11^2 - 11^2) + 185\\f(x) = 2((x-11)^2 -121) + 185\\f(x) = 2(x-11)^2 -242 + 185\\f(x) = 2(x-11)^2 -57[/tex]
Thus, the quadratic function given when converted to vertex form will be: [tex]f(x) = 2(x-11)^2 -57[/tex]
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Evaluate p^2-q.
When p=3 and q= -4
Hey there!
p^2 - q
= 3^2 - -4
= 9 - -4
= 9 + 4
= 13
Therefore, your answer is: 13
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
find all solutions for a triangle with a = 12 b=10 c=6
Answer:
60
Step-by-step explanation:
0.00000804 scientific notation
what is the total of 107+88+193?
Answer:
388. If you need any more help let me know. Also if you googled that you would have gotten the same answer.
Step-by-step explanation:
Answer:
the answer is 388
Step-by-step explanation:
107+88+193=388
If PT=u and QS=u–28, what is the value of u?
Answer:
u = 56
Step-by-step explanation:
the midsegment QS is half the length of the third side PT , that is
QS = [tex]\frac{1}{2}[/tex] PT ( substitute values )
u - 28 = [tex]\frac{1}{2}[/tex] u ( multiply through by 2 to clear the fraction )
2u - 56 = u ( subtract u from both sides )
u - 56 = 0 ( add 56 to both sides )
u = 56
A house-painting company charges $350 plus $15 per hour. Another company charges $275 plus $20 per hour. Write an equation that represents when both companies will cost the same amount.
How long will the job be when both companies charge the same amount?
Answer:
350 + 15x = 275 + 20x where x = 15
Step-by-step explanation:
350 + 15x = 275 + 20x
350 - 275 = 20x - 15x
75 = 5x
75/5 = 5x/5
15 = x
350 + 15(15) = 275 + 20(15)
350+225 = 275+300
575 = 575
Simplify cos(arctan-1)
Answer:
Step-by-step explanation:
An equation is shown below -5(2x-3)+2x = -10x+15
Find all the solutions if there are any for this equation
Answer:
-5(2x-3)+2x = -10x+15
-10x+15+2x= -10x+15
-12x+15 = -10x+15
-12x-(-10x):= -15+15
=2 ans
Please HELP im begging anyone Question 6 options:
The Edwards family spends $800 per month on groceries for their family. If this is 18% of their monthly budget, then what is their monthly budget?
Round to the nearest cent (hundredths place).
I suck at math so like yeah and i really need this good grade please
Answer:
$444.44
Step-by-step explanation:
Let the monthly budget of Edward family be $x.
-> 18% of x = 800
-> 0.18x = 800
-> x = 800/0.18
-> x = 444.44
Thus, the monthly budget of Edward family is $444.44.
Swimming Pool On a certain hot summer's day. 445 people used the public swimming pool. The daily prices are $1.75 for children and $2.25 for adults. The receipts for admission totaled $945.75. How many children and how many adults swam at the public pool that day?
Answer:
170 kids
368 adults
Step-by-step explanation:
A triangle has an area of 40 square inches. It's base is written as (x + 2) and it's height is written as (x + 4). Calculate the value of x and be sure to check for any extraneous (excluded) value.
solve for w: 3w + 4w = 14 simplify your answer as much as possible.
Answer:
W=2
Step-by-step explanation:
Let's solve your equation step-by-step.
3w+4w=14
Step 1: Simplify both sides of the equation.
3w+4w=14(3w+4w)=14
(Combine Like Terms)7w=14/7w=14
Step 2: Divide both sides by 7.
7w7=14/7
Your answer comes out at, w=2
If u need some more help just comment down below and ill try to help u some more:p
4+2b=5+5(b+4)
Help pleasee
Answer:
4+2b=5+5b+20
<=> -3b=21
<=> b=-7
Step-by-step explanation:
<=> 4+2b=5+5b+5×4
<=> 4+2b=5+5b+20
<=> 2b-5b=5-4+20
<=> -3b=21
<=> b=-21/3
<=> b=-7
Mrs. Rodger got a weekly raise of ₫145. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
Let the 1st paycheck be x (integer).
Mrs. Rodger got a weekly raise of ₫ 145.
So after completing the 1st week she will get ₫ (x+145).
Similarly after completing the 2nd week she will get ₫ (x + 145) + ₫ 145.
=[tex] ₫ (x + 145 + 145)[/tex]
= [tex]₫ (x + 290)[/tex]
So in this way end of every week her salary will increase by ₫ 145.
Which if the following elements contribute(s) to personal identity?
A. Physical identity
B. Active identity
C. Passive identity
D. Both a and b
The answer is D, both a and b.
What factors make up personal identity?
Identification is sincerely defined as the characteristics of figuring out who or what a person or component is. Factors or traits of identification might encompass race, ethnicity, gender, age, physical attributes, personality, political affiliations, spiritual beliefs, professional identities, and so forth.
What are private identity examples?Personal identity is ready the way you see yourself as “different” from the ones around you. Pastimes, education, pursuits, character developments, and so forth. preferred meals, the roles you maintain—“I am the oldest in my own family.” These are the matters that make you particular from different humans.
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The scale of a map says that 8 cm represents 5 km.
What distance on the map (in centimeters) represents an actual distance of 8 kilometers?
____ centimeters
What is the actual number of kilometers that is represented by 5 centimeters on the map?
____ kilometers
Please help
Answer:
1) 12.8cm
2) 3.125km
Step-by-step explanation:
1) 8cm = 5km
1km= 8/5
1km = 1.6cm
8km = 8*1.6
8km = 12.8cm
2) 8cm = 5km
1cm = 5/8
5cm = (5*5)/8
5cm= 25/8
5cm= 3.125km
Answer:
1) 12.8cm
2) 3.125km
Will give brainliest, thanks, and 5 stars!
Please help me with this question and how I do it!
|| ▼ Answer ▼ ||
8 is correct!
|| ✪ Solution ✪ ||
[tex]g(x)=2x^{2}-8x+1[/tex]
Vertex of f(x) is:
[tex](x,y)=(2,1)[/tex]
Graph of g(x) is attached :
Vertex of g(x) is:
[tex](x,y)=(2,-7)[/tex]
Y- value of vertex f(x) subtract from Y-value of g(x)
[tex]=1-(-7)[/tex]
[tex]=1+7[/tex]
[tex]1+7=8[/tex]
Hope this Helps!
If you have any queries please ask.
PLEASE HELP!!!!!!!!!!!!!!!!!!!
Answer:
54
Step-by-step explanation:
im givin away points to anyone even people who just want poinnts and dont put the answers so pls just do my question:Use rounding to estimate the product.
22.1 × 4.61
80
110
88
100
Answer:
110
Step-by-step explanation:
Answer:
110
Step-by-step explanation:
0.637 as a fraction in its simplest form
Answer:
637/1000
Step-by-step explanation:
Hopes this helps
Given f(x) = 3x-1 and g(x)=2x-3, for which value of x does g(x)=f(2)? Ox=3/2 Ox-2 Ox=5/2 Ox=4
====================================================
Work Shown:
First find f(2)
f(x) = 3x-1
f(2) = 3(2)-1 ... replace every x with 2
f(2) = 6-1
f(2) = 5
--------------
The equation g(x) = f(2) is the same as g(x) = 5 since f(2) = 5
g(x) = 2x-3
5 = 2x-3 .... replace g(x) with 5
2x-3 = 5
2x = 5+3 ... add 3 to both sides
2x = 8
x = 8/2 .... divide both sides by 2
x = 4
The value of x that satisfies the equation g(x) = f(2) is x = 4.
What is a function?A relation is a function if it has only One y-value for each x-value.
We are given two functions f(x) and g(x), and we need to find the value of x that satisfies g(x) = f(2).
We know that f(x) = 3x - 1, so f(2) = 3(2) - 1 = 5.
Therefore, we need to find the value of x that makes g(x) equal to 5.
Setting g(x) equal to 5, we get:
2x - 3 = 5
Add 3 to both sides.
2x = 8
Divide both sides by 2:
x = 4
Therefore, the value of x that satisfies the equation g(x) = f(2) is x = 4.
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Liz makes and sells necklaces. It costs her $40 for the supplie s to make 50 necklaces. How much must she sell each one for in order to make a profit of at least $250?
Using proportions, it is found that she must sell each necklace for at least $5.80 in order to make a profit of at least $250.
What is a proportion?A proportion is a fraction of a total amount
In this problem, it costs her $40 to make 50 necklaces. She wants a profit of at least $250, hence the 50 necklaces should sell for at least $250 + $40 = $290.
Hence, the minimum price for each one is given by:
$290/50 = $5.80.
She must sell each necklace for at least $5.80 in order to make a profit of at least $250.
More can be learned about proportions at https://brainly.com/question/24372153
Multiply the sum of sixteen and four and the difference of negative two and negative seventeen. Select the correct answer.
Ellie has been training for the Cedar Ridge Off-Road Race. The first week she trained, she ran 3 days and took the same two routes each day: 2. 5 miles on a path in the woods in the morning and a longer route at the park in the afternoon. By the end of the week, Ellie had run a total of 24 miles. Which equation can you use to find how many miles, x, Ellie ran each afternoon?
The distance that Ellie ran each afternoon is 5.5 miles for a whole week.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the distance that Ellie ran each afternoon, since she ran 24 miles, hence:
3(2.5 + x) = 24
7.5 + 3x = 24
x = 5.5 miles
The distance that Ellie ran each afternoon is 5.5 miles for a whole week.
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area of the shape.
PLEASE
The square below represents one whole.
What percent is represented by the shaded area?
Answer:
I think it is 13%
Step-by-step explanation:
I think this since there are 100 Square Units so if there are 13 shaded it would be [tex]\frac{13}{100}[/tex] which equals to 13%
IF THIS IS WRONG IM SOO SUPER DUPER VERY SORRY
x-9/3=28
Solve for x.
Answer:
x=31
Step-by-step explanation:
what is yhe slope of a line parallel to the line whose equation is 15x-6y=54 fully simplify
Answer:
m = 5/2
Step-by-step explanation:
use the slope intercept form y = mx + b to find the slope which is m
hope this helps
have a great day- TJ
Slope of the line parallel to 15x - 6y = 64 is [tex]\frac{3}{2}[/tex]
What is slope of a line?
Slope of a line is the tangent of the angle which the line makes with the
positive direction of x axis
If [tex]\theta[/tex] is the angle which the line makes with the positive direction of x axis, then slope of the line is given by
[tex]m = tan\theta[/tex]
If the line passes through ([tex]x_1, y_1[/tex]) and ([tex]x_2, y_2[/tex])
slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Here,
[tex]15x - 6y = 64\\6y = 15x -64\\y = \frac{15}{6}x - \frac{64}{6}\\y = \frac{3}{2}x - \frac{32}{3}\\[/tex]
Slope of this line = [tex]\frac{3}{2}[/tex]
Slopes of two parallel lines are same
Slope of the line parallel to the above line = [tex]\frac{3}{2}[/tex]
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a line passes through the points ( -4,3) and (0,0). what is the slope of the line?
Answer:
The slope is -3/4 or -0.75
Step-by-step explanation:
You can solve this using the slope of a line formula:
[tex]m=\frac{rise}{run}=\frac{y_{2}-y_1 }{x_2-x_1}[/tex]
m = slope
[tex](x_1,y_1)[/tex] = coordinates of first point in the line
[tex](x_2,y_2)[/tex] = coordinates of second point in the line
Now all you have to do is plug your numbers in and solve!