A coordinate plane with 2 lines. The first line is labeled y equals f(x) and passes through (negative 1, 2), (0, 2), and (2, 2). The second line is labeled y equals g(x) and passes through (negative 0.5, negative 2), points at (0, negative 1), and (1, 1). The lines intersect at (1.5, 2).
Use the graph to determine the input value for which f(x) = g(x) is true.
x = 0.5
x = 1
x = 1.5
x = 2
Answer:
1.5 Or C :)
Step-by-step explanation:
What is the median for this list of numbers? 11, 23, 43, 22, 9, 15
Median x˜ 18.5
that is the answer.
f(x) = -x^2+ 6x -10
write each function in vertex form and give the vertex
Answer:
Vertex form: f(x) = – (x – 3)² – 1
vertex: (3, -1)
Step-by-step explanation:
Given the quadratic function, f(x) = -x²+ 6x -10:
where a = -1, b = 6, and c = -10
The vertex of a parabola is the point at which the parabola intersects the axis of symmetry. The axis of symmtery occurs at x = h. Therefore, the x-coordinate of the vertex is the same as h.
To find the vertex, (h, k), you need to solve for h by using the formula: [tex]h = \frac{-b}{2a}[/tex]
Plug in the values into the formula:
[tex]h = \frac{-b}{2a}[/tex]
[tex]h = \frac{-6}{2(-1)} = 3[/tex]
Therefore, h = 3.
Next, to find the k, plug in the value of h into the original equation:
f(x) = -x²+ 6x -10
f(x) = -(3)²+ 6(3) -10
f(x) = -1
Therefore, the value of h = -1.
The vertex = (3, -1).
Now that you have the value for the vertex, you can plug these values into the vertex form:
f(x) = a(x - h)² + k
a = determines whether the graph opens up or down, and makes the parent function wider or narrower.
If a is positive, the graph opens up.If a is negative, the graph opens down.h = determines how far left or right the parent function is translated.
k = determines how far up or down the parent function is translated.
Plug in the vertex, (3, -1) into the vertex form:
f(x) = – (x – 3)² – 1
This parabola is downward-facing, with its vertex, (3, -1) as its maximum point on the graph.
will give BRAINLIEST!!!!!!
3 3/4 X 1 2/5 do a step by step explanation please and also you have to make it so you convert it into an improper fraction first... please answer!!!
Answer:
5 1/4
Step-by-step explanation:
To convert into an improper fraction, we times the whole number by the denominator and then add the numerator. For the first number, it is 15/4 and the second number is 7/5. Then we multiply 15/4 and 7/5 to get 5 1/4.
Answer:
99/5
Step-by-step explanation:
CONVERT INTO:
33/4 x 12/5
MULTIPLY THE FRACTIONS:
(33x12)
--------------
5
CANCEL TERMS:
(33x3)
-----------
5
SIMPLIFY:
99/5
For the pair of similar triangles, find the value of x.
2x8
x+8
24
The value of x is a
(Simplify your answer. Use a comma to separate answers as needed.)
Answer: x = 22
Step-by-step explanation:
Compare the 2 triangles
[tex]\frac{2x-8}{24} = \frac{45}{x+8}[/tex]
Cross multiply
(2x-8) (x+8) = 45 x 24
2x^2 + 16x - 8x - 64 = 1080
2x^2 + 8x - 64 - 1080 = 0
2x^2 + 8x - 1144 = 0 ---> divide by 2
x^2 + 4x - 572 = 0
(sum and product)
x^2 - 22x + 26x - 572 = 0
x(x - 22) + 26(x - 22) = 0
(x + 26) (x - 22) = 0
x + 26 = 0
x = -26
x - 22 = 0
x = 22
The dashed triangle is the image of the solid triangle after a dilation centered
at the origin. What is the scale factor of the dilation?
A) k= 1/2
B) k= 2
C) k= -1/2
D) k= -2
divide -3 1/3 by 1 1/5
What is the solution to the following equation? Show all work.
3(x+2)-2x =-2(x-3)+3x
(1) No Solutions
(3) x=2
(2) Infinite Solutions
(4) x=-3
Answer:
No solutions
Step-by-step explanation:
I hope my answer help you.
PLSSS HLEPP ME OUTT ITS URGENTTTT
it takes two people to make two bikes in 2 hours how many people does it take to make 12 bikes in 6 hours
Answer:
Step-by-step explanation:
2 people make 2 bikes in 2 hours so 2 people can make 1 bike in 1 hour
So in 6 hours, 2 people can make 6 bikes.
So to make 12 bikes we need 2*2 = 4 people.
members of a softball team raised 1405.25 to go to a tournament. they rnted a bus for 822.50 and budgeted 27.75 per each players . write and solve an equation which can be used to determine x , the number of players the team can bring to the tournament
Creating an expression for the scenario, the Number of players that can be brought to the tournament is 21.
Given the Parameters :
Total amount raised = 1405.25Bus rent = 822.50Amount per player = 27.75We could represent the expression to calculate the number of players thus :
Total amount raised = (Bus rent + (amount per player × number of Players))
1405.25 = 822.50 + 27.75x
1405.25 - 822.50 = 27.75x
582.75 = 27.75x
x = (582.75÷27.75)
x = 21 players
Therefore, the Number of players would be 21.
Learn more : https://brainly.com/question/16102577
Pablo's father is 4 years older than his mother. Pablo's mother is 42 years old. How old is his father? Pablo's father's age is:
Answer:
46
Step-by-step explanation:
1 sum 42+4
pls pls pls help please please
Answer:
pretty sure it's 65
Step-by-step explanation:
They're usually congruent for these type of angles. Also, y would be 50
Answer:
x = 50°
Step-by-step explanation:
y = 65° because the base angles of an isosceles triangle are equal
x = 50° because angles in a triangle add up 180°
65 + 65 = 130180 - 130 = 50°Question
Need help rn
Use the figure to find the measures of the numbered angles.
∠1 = °
∠2 = °
Answer:
m∠1 = 107 degrees
m∠2 = 73 degrees
Step-by-step explanation:
1. ∠1 and the angle with 107 degrees are corresponding angles, which are located in the same relative position. They're congruent in measures, so m∠1 = 107 degrees.
2. ∠1 and ∠2 are a linear pair, meaning their angle measures add up to 180 degrees. Given m∠1 = 107 degrees, we just have to subtract 107 from 180 to get m∠2.
[tex]180-107[/tex] [tex]73[/tex]Therefore, m∠2 = 73 degrees.
f
2x2 - 7x-4
Simplify
x2 - 5x +4
2x +1
x-1
2x + 1
x+1
2-7x
5x
DONE
Answer:
1. [tex] \frac{2x + 1}{x - 1} \\ [/tex]Step-by-step explanation:
[tex] \frac{ {2x}^{2} - 7x - 4 }{ {x}^{2} - 5x + 4 } \\ \frac{ {2x}^{2} + x - 8x - 4 }{ {x}^{2} - x - 4x + 4} \\ \frac{x(2x + 1) - 4(2x + 1)}{x(x - 1) - 4(x - 1)} \\ \frac{(x - 4)(2x + 1)}{(x - 4)(x - 1)} \\ \frac{2x + 1}{x - 1} \\ [/tex]
I don’t get this question at all
Answer:
-12
Step-by-step explanation:
Answer:
-8(-4+x)
Step-by-step explanation:
This is because the value of all the numbers never changes. Because
"-8(x-4)= -8x+32" and "-8(-4+x)= 32-8x" are equal, this would be the only correct answer.
Hope this helps! :)
solve x/3 = 1.5 show working out
Answer:
x = 4.5
Step-by-step explanation:
[tex]\frac{x}{3}[/tex] = 1.5 ( multiply both sides by 3 to clear the fraction )
x = 3 × 1.5 = 4.5
Sam evaluated the expression x2y for x = 7 and y = 9. He got a value of 49. Which of the following statements is correct?
Answer:
7*7=49
Step-by-step explanation:
x2y
7*2*9
=129
7*9
=63
9*2
=18
7*2
=14
7*7
=49
Find the value of X, rounded to the nearest tenth.
A. 31.8
B. 31.4
C. 10.3
D. 10.7
Answer:
B. 31.4
Step-by-step explanation:
To find x, the hypotenuse, we need to use sin because we have been given the opposite (the side opposite the angle 35°) and we need to work out the hypotenuse (the longest or slanted side):
SOH, CAH, TOA
sin(θ) = opposite ÷ hypotenuse
Sub in the values (we don't know the hypotenuse so i've called it x):
sin(35) = 18 ÷ x (multiply both sides by x)
x × sin(35) = 18 (divide both sides by sin(35))
x = 18 ÷ sin(35) = 31.38204...
x ≈ 31.4
Hope this helps!
Emmanuel went to Circuit City to buy a refrigerator for $3,652. This week at Circuit City, all kitchen appliances have a discount of 35%. If Emmanuel goes to Circuit City this week, how much will he pay for the refrigerator?
Answer:
2373.8 dollars
Step-by-step explanation:
3652 times 35% equals 1272.2 so 3652 - 1272.2 = 2372.8
Fill in the blanks in three different ways to create an
equation that has one solution, no solution, and infinitely many solutions.
7x + 3x + 10 = -2 (__x+__)
1. Which of the following numbers completes the sequence 3, 8, 14, 21, 29, ___?
A. 35
B. 36
C. 37
D. 38
E. 39
May I please receive help?
y=-4(x-2)^2+4 what is the vertex and axis of symmetry of this equation?
Answer:
Step-by-step explanation:
for vertex
x-2=0 gives x=2
when x=2,y=4
vertex (2,4)
axis of symetry
x-2=0
Find the slope-intercept form of the equation of a line satisfying the condition
Passing through (2,-4) and (7,-3)
PLEASE HELP ITS DUE REALLY SOON AND IM REALLY DESPERATE JUST ANSWER ANY QUESTION THAT YOU CAN AND PLS TELL ME WHICH ONE IT WAS. I WILL GIVE BRAINLIEST 5 STARS AND A THANKS PLS OMG :C SORRY THERE IS NOT A LOT OF POINTS :cCC
4. A: y= 2x + 6
B: y= x + 9
5. (3,12)
6. C: a pizza with 3 toppings will equal $12 at either restaurant
can someone give me the coordinates that each option should be placed at??? hurry please!
Answer:
x = -10
Step-by-step explanation:
-2x - 10y = 20 (plug y=0)
-2x = 20
x = 20/-2
x = -10
At the gift shop, they sell small greeting cards and large greeting cards. The cost of a small greeting card is $1.70 and the cost of a large greeting card is $4.65. How much would it cost to get 3 small greeting cards and 5 large greeting cards? How much would it cost to get xx small greeting cards and yy large greeting cards?
if the outcome of event a is not affected by event b, then events a and b are said to be
Maybe can I have some help?