Answers:
(2, -3) and (3, -3)
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Work Shown:
Since f(x) = -3, we'll replace f(x) with -3 and solve for x
f(x) = x^2 - 5x + 3
-3 = x^2 - 5x + 3 .... f(x) replaced with -3
0 = x^2 - 5x + 3 + 3 ... adding 3 to both sides
0 = x^2 - 5x + 6
x^2 - 5x + 6 = 0
(x - 3)(x - 2) = 0 .... factor; you can also apply the quadratic formula
x-3=0 or x-2=0
x = 3 or x = 2
So that explains where that '2' comes from when they listed (2, ?)
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To find what replaces the question mark, we will plug x = 2 into the function
f(x) = x^2 - 5x + 3
f(2) = 2^2 - 5(2) + 3
f(2) = 4 - 10 + 3
f(2) = -3
We could have skipped this portion and said that the solution is (2,-3) but plugging x = 2 into the function to get the output y = -3 helps confirm that x = 2 is one of the x solutions.
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Let's do the same for x = 3
f(x) = x^2 - 5x + 3
f(3) = 3^2 - 5(3) + 3
f(3) = 9 - 15 + 3
f(3) = -3
We end up with the same output, so x = 3 is confirmed as well.
The graph below visually helps reinforce these confirmations. Each solution is an intersection between the two curves.
Answer:
cool
Step-by-step explanation:
I'm not sure I'm just getting points
I have 2 lines in this graph I need to know which line has a slope of one and which has a slope of 2
Answer:
what graph
Step-by-step explanation:
Carlos walked to school on 14 of the 20 school days in February. Which value is equivalent to the fraction of the school days in February that Carlos walked to school?
Someone help please
If NML ~ SRL find the value of x.
Answer:
x = 5
Step-by-step explanation:
Since the triangles are similar, corrresponding sides are in proportion.
[tex]\frac{NM}{SR} = \frac{ML}{RL} = \frac{NL}{SL}[/tex]
Using the equation formed by the second and third fraction above we get
[tex]\frac{28}{24} = \frac{3x - 1}{x + 7}[/tex]
28(x + 7) = 24(3x - 1)
28x + 196 = 72x - 24
44x = 220
x = 5
In ΔHIJ, the measure of ∠J=90°, HI = 8 feet, and JH = 1.9 feet. Find the measure of ∠H to the nearest tenth of a degree.
Answer:
21.9°
Step-by-step explanation:
In ΔHIJ, the measure of ∠J=90°, HI = 8 feet, and JH = 1.9 feet. Find the measure of ∠H to the nearest tenth of a degree.
We solve this above question using the Sine rule
a/sin A = b/sin B
In ΔHIJ, the measure of ∠J=90°, HI = 8 feet, and JH = 1.9 feet.
Hence:
HI/∠J = JH/∠H
= 8/sin 90° = 1.9/sin ∠H
Cross Multiply
∠H = arc sin(sin 1.9 × 90/8)
∠H = 21.9°
Use the equation below to find the axis of symmetry in the given problem
Kent can paint a room in twice as fast as Luannda. Together they can paint the room in 5 hours. How long would it take Kent to paint the room alone? Write an equation to solve
Answer:
for kent it would be [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
The computation is shown below:
Let us assume Luannda be [tex]\frac{x}{1}[/tex]
And for kent be 2x
Together they take 5 hours
So
[tex]\frac{x}{1} + \frac{2x}{1} = 5\ hours\\\\3x = 5\\\\x = \frac{5}{3}[/tex]
So for kent it would be [tex]\frac{1}{5}[/tex]
PLEASE HELP I HAVE 3 MINUTES TO TURN THISS IN HELPPPP!!!!! You bought 10 Frisbees for $11.90. What was the cost per Frisbee?
Answer:
each frisbee costs $1.19
Answer:
It should be $1.19 I hope this helps
Step-by-step explanation:
Find RSQ and TSQ I will Brainliest
Answer:
Hey there!
15x-43+8x+18=90
23x-25=90
23x=115
x=5
RSQ=15(5)-43, or 32
TSQ=8x+18, or 58
Let me know if this helps :)
Step-by-step explanation:
Hunter's class voted on whether or not to do science fair projects in groups. 30% of the 40 votes were in favor of working in groups. How many votes were in favor?
Answer:
the answer is 12
Step-by-step explanation:
Can someone help. “At the market you can buy 5 bags of apples for $23.60. At the orchard you can get 7 bags of apples for $32.76. Which is the better deal?”
Answer:
7 for $32.76
Step-by-step explanation:
23.60/5 is $4.72
32.76/7 is $4.68
Answer: $4.72
Step-by-step explanation:
To solve this problem we need to find the unit price of a bag of apples(one bag)
Thus, simply do 23.60/5 to get 4.72 and 32.76/7 to get 4.68. Because 4.68 < 4.72, the orchard is a better deal.
Hope it helps <3 :D
Kylie bought 10 chicken wings for $15. What was the cost of the wings in wings per dollar?
Answer: $2.50
Step-by-step explanation:
1.5$ per wing
I like chicken wings
Look at the image and please help.
write the equation of the line that passes through the given point and has the given slope.
(4,2) slope=3
FREE BRAINLIEST IF YOU ANSWER CORRECTLY!!(jwo26)
Answer:
56 dude
Step-by-step explanation:
Answer:
56!!!!!!
Step-by-step explanation:
What is a acute triangle and what do a acute triangle look like?
Answer:
An acute triangle is a triangle with three acute angles. An obtuse triangle is a triangle with one obtuse angle and two acute angles. Since a triangle's angles must sum to 180° in Euclidean geometry
help i dont wanna think rn
Monica is playing a video game. She earns 20 points when she completes Level 1. Each time she completes a level, she earns twice as many points as the previous level.
How many points will Monica earn when she completes Level 7?
Enter your answer in the box.
Answer:
1080
Step-by-step explanation:
I thought you meant Monica from DDLC
what is the sum
-5.7+ (-4.2)=
please answer
Answer:
-5.7-4.2=-9.9 is answer
The students in Mr. Lin's class are having a car wash to raise money for a trip. They need at least
$600 to go on the trip. They have already raised $61. They make $14 for every car they wash.
The students want to know how many cars they need to wash to go on the trip.
Let c be the number of
cars the students wash. Write an inequality that represents the situation.
Answer:
14c + 61 is greater than or equal to (put the greater than symbol with the line underneath there) 600
The inequality for raising the money will be written as 14c + 61 > 600.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than the relation between variables and the numbers.
Given that the students in Mr. Lin's class are having a car wash to raise money for a trip. They need at least $600 to go on the trip. They have already raised $61. They make $14 for every car they wash.
The inequality will be written as,
14c + 60 > 600
Here, c is the number of the car wash.
To know more about inequality follow
https://brainly.com/question/24372553
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A building is 456 feet tall and 95 feet wide. If a scale model of the building is 12 inches tall, what
is the width of the scale drawing?
A.
3.1
B.
2.8
C.
2.5
D.
2.1
B
Ob
D
C С
od
4
Answer:
I think the answer is C
Step-by-step explanation:
456÷12= 38
95÷38= 2.447 (about 2.5)
The choir group is going to a concert and will use 8 vans. There are 23 boys and 25 girls. How many students will fit in each van?
Answer:
6
Step-by-step explanation:
23+25=48
48÷8=6
A bucket of golf balls contains yellow golf balls and white golf balls. You collect there presentative sample shown. Based on your sample, predict how many golf ballsare yellow If the bucket contains 60 golf balls
Answer:
30
Step-by-step explanation:
Half of 60 is 30. I am not a 100% sure of it tho.$3 is what percent of $10?
The value of $3 is 30% of the number $10.
The percentage is a way to express a proportion or a fraction as a fraction of 100. It is commonly used to compare values or quantities relative to a whole or a total.
The term "percentage" comes from the Latin word "per centum," which means "per hundred." It implies that a percentage value represents a certain number out of 100 parts.
To calculate a percentage, you typically divide a part or a quantity by the whole or the total and then multiply the result by 100. The resulting value represents the percentage equivalent of the part or quantity.
The per cent value is calculated as,
[tex]x = \dfrac{3} {10} \times100\\x = 0.3\times100\\x = 30 \%[/tex]
Therefore, the percentage value is 30%.
To know more about the percentage follow
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Simplify 3f-2f+f I need a answer for that please
Answer:
2f
Step-by-step explanation:
3f-2f+f | Given
1f + f | Subtract 3f and 2f
2f | Add 1f and 1f.
a • a • a • a
Please answer!!!
Answer:
A to the 4th power
Step-by-step explanation:
Answer:
Where the question?
Step-by-step explanation:
During a thunderstorm, 600 millimeters of rain fell in 30 minutes. How fast did the rain fall, in millimeters per minute?
how do i solve this??
Answer: DNE, no solution
Step-by-step explanation:
You cant take the even root of a negative number without introducing the imaginary number 'i'
4. Given two fair dice, find the probability of rolling a sum of 8 on the
two dice.
To easily find the number of ways to get a sum of 8, one should create.
Multiply.
9i (5-2i)=
Answer:
The answer is 45i + 18
since i *i=-1
Please help me ASAP , thank you