Answer:
1. Look at the screenshot below.
2. If a line intersects a parabola at a point, the coordinates of the intersection point must satisfy the equation of the line and the equation of the parabola.
Since the equation of the line is y = c, where c is a constant, the y-coordinate of the intersection point must be c.
It follows then that substituting c for y in the equation for the parabola will result in another true equation: c = −x^2 + 5x.
Subtracting c from both sides of c = −x^2 + 5x and then dividing both sides by −1 yields 0 = x^2 − 5x + c.
The solution to this quadratic equation would give the x-coordinate(s) of the point(s) of intersection.
Since it’s given that the line and parabola intersect at exactly one point, the equation 0 = x^2 − 5x + c has exactly one solution.
A quadratic equation in the form 0 = ax^2 + bx + c has exactly one solution when its discriminant b 2 − 4ac is equal to 0. In the equation 0 = x^2 − 5x + c, a = 1, b = −5, and c = c.
Therefore, (−5)^2 − 4(1)(c ) = 0, or 25 − 4c = 0.
Subtracting 25 from both sides of 25 − 4c = 0 and then dividing both sides by −4 yields c = 25/4 .
Therefore, if the line y = c intersects the parabola defined by y = −x^2 + 5x at exactly one point, then c = 25/4 .
Either 25/4 or 6.25
Which equation represents a linear function?
Answer:
y=x-3
Step-by-step explanation:
Help help help help
Answer:
c. 12
Step-by-step explanation:
if the pentagons are similar they have a common factor.
the factor between 16 cm and 8 cm is 2, so 6*2 is 12.
what is x + 20x (-2)
Answer:
x = 1/20 = 0.050
x = 0
Step-by-step explanation:
either of those
Answer:
Hey bro,
The answer should - 39x i.e minus 39x
The radius of a circle is represented by the expression x+3. Express the circumferend terms of x
Answer:
The circumference of circle with radius x+3 is: [tex]2\pi x+6\pi[/tex]
Step-by-step explanation:
Given that
Radius = r =x+3
The circumference of a circle is the distance around boundary of the circle.
The circumference of circle is given by the formula.
[tex]C = 2\pi r[/tex]
Putting the value of r, we get
[tex]C = 2\pi (x+3)\\C = 2\pi x+6\pi[/tex]
Hence,
The circumference of circle with radius x+3 is: [tex]2\pi x+6\pi[/tex]
Math homework plz help
Answer:
19
Step-by-step explanation:
38/2=19
Answer:
r = 19
Step-by-step explanation:
2r = 38 (Given)
r = 19 (Divide by 2 on both sides)
Help me out please and thank you
Answer:
I got B
75+20+85=180
The number 54 is divisible by... select all that apply.
15 points
2
3
4
5
6
9
10
Answer:
6,9,2,4,10
Step-by-step explanation:
There are possible multiples that can be divisible by 54.
I can't solve this lol pls help
Answer:
a = 6
b = 2
Step-by-step explanation:
Here, we want to take all values of p up and all values of q down
From the division, 9
goes up and the term above comes down
We have all the following indices rule to use;
(a^x)^y = a^xy
a^x * a^y = a^x + y
a^x / a^y = a^x-y
Let us evaluate all p terms;
p^12/p^4 = p^8
Let us evaluate all q terms
q^16/q^10 * 1/q^2
= q^6/q^2 = q^4
Let us evaluate all number terms
We have;
2^4/-3^2 * 9/4^2
= 16/9 * 9/16 = 1
All
number terms canceled out
Now, let us work with the exponents;
For the p terms;
p^8 = p^a+b
a + b = 8 •••••••••(i)
For the q terms;
q^4 = q^a-b
a-b = 4 ••••••••••(ii)
Add both equations
2a = 12
a = 12/2 = 6
For b;
a-b = 4
6-b = 4
b = 6-4
b = 2
Suppose a city with a population of 400,000 has been growing at a rate of 3% per year what will the population be in the next 19 years
what is the square root of 72x as a power of 6 / x squared
Answer is : 6 √ 72 x 2 Rewrite 72 x2 as ( 6 x ) 2 ⋅ 2 . Tap for more steps... 6 √ ( 6 x ) 2 ⋅ 2 Pull terms out from under the radical.
6 ( 6 x √ 2 ) Multiply 6 by 6 . 36 x √ 2
thank me later
(can someone give me like 300pts? Please and Thank u) Whats the square root of 5923?
Special Right Triangles
Answer:
first option
Step-by-step explanation:
Using the sine/ cosine ratios in the right triangle and the exact values
sin30° = [tex]\frac{1}{2}[/tex] , cos30° = [tex]\frac{\sqrt{3} }{2}[/tex]
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{32}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2x = 32 ( divide both sides by 2 )
x = 16
----------------------------------------------------------
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{32}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2y = 32[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
y = 16[tex]\sqrt{3}[/tex]
i really need help i’m going to fail so answer if you can ! <3
The commission of a sales representative can be modeled by C(x) = 4x -
10, where x is the number of items sold. If the sales representative sales 30
items, how much commission will they earn? *
options:
$20
$5
$120
$110
Answer:
110
Step-by-step explanation:
you place 30 in the place of X, and it becomes 4×30-10. in PEMDAS, multiplication goes first and 4×30=120. 120-10=110
Determine if the function represented by the table is linear. Explain.
х -10 -14 -18-24
у 6 10 16 24
Answer:
The given table DOES NOT represent a linear function as there is NO CONSTANT change in x and y values.
Step-by-step explanation:
Given the table
x -10 -14 -18 -24
y 6 10 16 24
A linear function has a constant change in x and a constant change in y values.In order to determine whether the table represents the linear function or not, we need to check whether there is constant change in x and y.
It is clear that there is a NO constant change in x
i.e. -14-(-10) = -4, -18-(-14) = -4, -24-(-18) = -6
It is clear that there is a NO constant change in y
i.e. 10-6=4, 16-10 = 6, 24-16 = 8
Therefore, the given table DOES NOT represent a linear function as there is NO CONSTANT change in x and y values.
Which could be the degree of the function represented by the graph?
A. 5
B. 1
C. 3
D. 4
Answer:
C
Step-by-step explanation:
2/5 ÷ 1/6 I need the answer step by step the reciprocal kfc and da answer
[tex]\frac{12}{5}[/tex] or [tex]2 \frac{2}{5\\}[/tex]
Step-by-step explanation:You follow KCF (Keep Change Flip)Keep [tex]\frac{2}{5}[/tex] the same
change the division sign to multiplication [tex]\frac{2}{5} \\[/tex] × [tex]\frac{1}{6\\}[/tex]
Flip [tex]\frac{1}{6}[/tex] so that the denominator is on top and the numerator is on the bottom like this [tex]\frac{6}{1\\}[/tex]
After doing those steps your new equation will look like this- [tex]\frac{2}{5}[/tex] × [tex]\frac{6}{1}[/tex]
Multiplying[tex]\frac{2}{5}[/tex] × [tex]\frac{6}{1}[/tex] Now all you have to do is multiply
1st- multiply 2x6
2nd- multiply 5x1
[tex]\frac{2}{5}[/tex] × [tex]\frac{6}{1\\\\}[/tex] = [tex]\frac{12}{5}[/tex]
So your answer is [tex]\frac{12}{5\\}[/tex] or [tex]2 \frac{2}{5}[/tex]
Hope my explanation helps you out!
I need help ASAP! picture below is what I need
Answer:
Evaluating the piecewise function when X =3, we get f(3) = 7
Step-by-step explanation:
Given the following piecewise function
f(x)= { 2x+1; where x > 0
-3 when x ≤ 0
Evaluate the function when X = 3
We will evaluate f(x) =2x+1 where x > 0, because x = 3 and 3 <0
We can't use -3, because x ≤ 0, and 3 is not less than 0.
Now, evaluating the function:
[tex]f(x)=2x+1\\Put\:x=3\\f(3)=2(3)+1\\f(3)=6+1\\f(3)=7[/tex]
So, Evaluating the piecewise function when X =3, we get f(3) = 7
Match each expression on the left with an equivalent expression on the right. Some answer choices on the right will not be used.
Answer
6.038 times 100 = 603.8
603.8 / 10 = 60.38
60.38 / 1,000 = 0.06038
0.6038 times 10 = 6.038
Answer:
6.038 times 100 = 603.8
603.8 / 10 = 60.38
60.38 / 1,000 = 0.06038
0.6038 times 10 = 6.038
( Did it on college board)
Step-by-step explanation:
Question Number 2 of 40 - Algebra II
A polynomial function has zeros -3 and 4. Which is one of the factors of the polynomial?
4. What is of 2107what is 2 fifths of 210
Answer:
points I want ... use of this communication
ABC is a straight angle.
Find measure of ABX and measure of CBX
Asap , question in pic and only answer if you know your right ,thanks
Answer:
It is D
Step-by-step explanation:
Because I did the work and if you count where the middle is it is 1 to the right and 3 up.
4x^2 - 12x - 3
what would the answer be if x = 7
Answer:
= 3 /2 ± √ 3
Step-by-step explanation:
Help needed!! Asapp pleasee:(
Answer:
7362.49 yards
Step-by-step explanation:
Mauricio has a height of 2 yards
The building has a height of 906 yards from the ground
The height of the building from Mauricio's eye will be : 906 - 2 = 904 yards
The angle of elevation of the top of building from the viewer = 7°
Apply the formula for tangent of an angle where;
Tan ∅ = Opposite side height/Adjacent length
Tan 7° = height of building / viewer distance from base of building
Tan 7° = 904 / viewer distance from base of building
Viewer distance from base of building = 904/Tan 7°
=7362.48917089
=7362.49 yards
What number should go in the space?
Multiplying by 0.76 is the same as decreasing by ____%.
Answer:
76%
Step-by-step explanation:
Do turn decimals into percentages you just gotta multiply by 100.
0.76×100=76
Answer:
24
Step-by-step explanation:
plz help, I need help
Answer:
Answer is A
Step-by-step explanation:
because 2 × $11.50 is for adult tickets
$8 × 4 is for childrens tickets
and the equation would represent the total cost
Rewrite 18m - ( 2 + 3m ) without parentheses.
Answer:
15m−2
Step-by-step explanation:
Distribute the Negative Sign:
=18m + −1(2 + 3m)
=18m + (−1)(2) + −1(3m)
=18m + −2 + −3m
Combine Like Terms:
=18m + −2 + −3m
=(18m + −3m) + (−2)
=15m + −2
ASAP HELP! Which equation is NOT linear?
O y = 5x
O y = 3 + 4x
O y = 2x3 - 1
O y = -3x -7
Answer:
y=5x is not linear
Step-by-step explanation:
option A is not linear
Find the slope of each line.
6)
Answer:
(4,7)
Step-by-step explanation:
45°
X
Find the value of x. Write your answer in simplest form. Please help meee so confused
Answer:
7√2
Step-by-step explanation:
i don't feel like explaining