Answer:
f(x) = x² - 6x + 3Step-by-step explanation:
Parabola f(x) = ax² + bx + c passing through point (x₁, y₁) means if x=x₁ then f(x)=f(x₁)=y₁
(0, 3) ⇒ 3=a·0²+b·0+c ⇒ c=3
f(x) = ax² + bx + 3
(4, -5) ⇒ -5 = a·4² + b·4 + 3
-5 = 16a + 4b + 3
-4b = 16a + 8
b = - 4a - 2
(-1, 10) ⇒ 10 = a·(-1)² + b·(-1) + 3
10 = a - b + 3
b = a - 7
a - 7 = - 4a - 2
5a = 5
a = 1
b = 1 - 7 = - 6
So the equation:
f(x) = x² - 6x + 3
PLEASE I NEED HELP PLEASE 1. The table below shows 3 recipes for a fruit punch
flavored drink. Will all 3 recipes taste the same? (hint:
Write each ratio as a fraction then simplify to see which
are equivalent ratios)
2. Will any of them taste different?
✓
Be sure to use the vocabulary word: EQUIVALENT
RATIOS in your answer.
water
cups
1
3
4
12
1
6
18
OR
Answer:
1. It can clearly observed that all the ratios that are written in fractional form simplify to same fraction which means that all the ratios are equivalent.
2. None of them will taste different as the ratios are same.
Step-by-step explanation:
First of all we have to write the three ratios as fractions to see if the ratios are equivalent ratios or not.
We will see the water to cups ratio
The ratios in fractional form are:
[tex]=\frac{1}{3}\\=\frac{4}{12}\\=\frac{6}{18}[/tex]
Putting all the ratios together
[tex]\frac{1}{3} = \frac{4}{12} = \frac{6}{18}\\\frac{1}{3} = \frac{1}{3} = \frac{1}{3}[/tex]
1. It can clearly observed that all the ratios that are written in fractional form simplify to same fraction which means that all the ratios are equivalent. All the recipes will taste same.
2. None of them will taste different as the ratios are same.
true or false stats question
1) correlation for averaged data is higher than that for the individual observations
true or false??
Answer:
true
Step-by-step explanation:
Tessa invests $5400
$
5400
in a new savings account which earns 5.2%
5.2
%
annual interest, compounded monthly. What will be the value of her investment after 8
8
years? Round to the nearest cent.
With Unparalleled Trading Conditions, Start Your...
You are riding a train. Your carry-on bag can weigh no more than 50 pounds. Your bag weighs 38 pounds.
Which inequalities represent how much weight you can add to your bag?
W > 50 - 38
50 > W - 38
38 + w < 50
W < 50 - 38
Can you add both a 9-pound laptop and a 5-pound pair of boots to your bag without going over the weight limit?
Yes, the total being added is 4 pounds, which is a solution of the inequality
No, the total being added is 14 pounds, which is not a solution to the inequality
Yes, the added weight needs to be less than 38 pounds, and 9 plus 5 is less than 38.
No, the added weight needs to be at least 38 pounds, and 9 plus 5 is less than 38.
Answer:
Let the additional weight that can be added be = x
Current weight of the bag = 38 pounds
Total weight can be = 50 pounds
The equation becomes:
38+x < or equal 50
x < or equal 50-38=12
Hence, a weight of 12 pounds cab be added to the current wight.
solve for n. 13n + 85 = 176
Answer:
n=7
Step-by-step explanation:
13n+85=176
*Subtract 85 from both sides
13n+85-85=176-85
*Simplify
13n=91
*Divide both sides by 13
13n=91
13 13
*Simplify
n=7
Hope this helped :)
Solve the simultaneous equations:
5x+4y=5
2x+7y=29
Answer:
x=−3 and y=5
Step-by-step explanation:
i accedentaly wrote this
Answer:
uh
Step-by-step explanation:
brainlest!!!
u have to answer all three all the choices are the same please help 1 hour to complete
Answer:
1st graph: x ≤ -5
2nd graph: x > -5
3rd graph: x ≥ -5
4th graph: x > 5
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
[tex]first \: graph \\ x \leqslant - 5 \\ \\ second \: graph \\ x > - 5 \\ \\ third \: graph \\ x \geqslant - 5 \\ \\ fourth \: graph \\ x > 5[/tex]
help will try to mark brainliest!
___
Answer:
X[tex]\geq[/tex]77
Step-by-step explanation:
Write, in slope intercept form, the equation of the line that passes through (8, -9) and has a slope of -5/4.
Answer:
The equation in the slope-intercept form will be:
[tex]y=-\frac{5}{4}x+1[/tex]
Step-by-step explanation:
Given
slope = m = -5/4point = (8, -9)As we know that the equation of a line in point-slope form is
[tex]y-y_1=m\left(x-x_1\right)[/tex]
substituting the values m = -5/4 and point = (8, -9)
[tex]y-\left(-9\right)=\frac{-5}{4}\left(x-8\right)[/tex]
[tex]y+9=\frac{-5}{4}\left(x-8\right)[/tex]
Writing the equation in slope-intercept form
[tex]y=mx+b[/tex]
where m is the slope, and b is the y-intercept
so the equation of the line in slope-intercept form becomes
[tex]y+9=\frac{-5}{4}\left(x-8\right)[/tex]
subtract 9 from both sides
[tex]y+9-9=\frac{-5}{4}\left(x-8\right)-9[/tex]
[tex]y=-\frac{5}{4}x+1[/tex]
Therefore, the equation in the slope-intercept form will be:
[tex]y=-\frac{5}{4}x+1[/tex]
-45 + s = -105, s =
what is the answer
Answer:
-60
Step-by-step explanation:
s=-105+45
=-60
hope it helps
4x < 2(x+5)
What is x
Answer:
so the answer must be 8
Step-by-step explanation:
4×-2(×+3)=8
Imani is training for a half marathon. The graph shows her distance during a 60-minute practice run.
Answer: I’m going with Answer A, since every other option seems to be supported other than Answer A
I’m going with Answer A, since every other option seems to be supported other than B.
What is Marathon?Around 490 BC, when the Persians invaded Greece, the marathon was first performed. The most well-known narrative concerns Pheidippides, a Greek messenger tasked with telling the Athenians of the Greeks' victory over the Persians at the Battle of Marathon.
Pheidippides went off on foot and ran nonstop because he thought the assignment was vital. He stormed into the government meeting at the city's gates, declared the Greek victory, then collapsed on the ground and passed away from weariness.
The longest southern path between the two cities, Greece and Athens, is around 40.8 kilometers long.
Therefore, I’m going with Answer A, since every other option seems to be supported other than B.
To learn more about marathon, refer to the link:
https://brainly.com/question/29554410
#SPJ5
please help me find what to plot for this (no decimals )
Answer:
(0, 6), (4, 5)
Step-by-step explanation:
graph (0, 6) first, then from those points go down -1 and over 4 to get (4, 5)
plz help me on this its due soon
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
What measurement is the quantity of mass per unit volume?
Volume
Temperature
Mass
Density
Answer:
i thank this will help sorry if this is not right it is density.Step-by-step explanation:
Solve these with the distributive property, (or just solve them), thank you in advance! :L
(There are choices so please use those)
3.5 (11) + 1.9 (11) + 1.6 (11)
40
77
4,096
9,317
20 + 3 (7 + 4) + 5 + 2 (7 + 9)
73
90
290
365
Answer:
3.5(11) means 3.5 times 11? in that case
Step-by-step explanation:
first one roughly = 35+19+16....then you can see 77 is the closest, even without calcatulor
second one precisely==20+33+5+38.....then you can see that 90 is roughly the closest one, again even without to add those 4 togetherly precisely
raul can read 12 pages in half an hour. Find the unit rate
Answer:
2.5 per minute
Step-by-step explanation:
Hope this helps.
I know the answer to a but the answer to b I can’t do
I don’t know why
Answer:
x=4
Step-by-step explanation:
I used cross multiplication
7+2x/3=5
7+2x/3=5/1
7+2x(1)=5(3)
7+2x=15
2x=15-7
2x=8
x=4
Answer:
x = 4
Step-by-step explanation:
The goal is to get x by itself.
1. Multiply both sides by 3 and you are left with:
7 + 2x = 15
2. Subtract 7 from both sides and you are left with:
2x = 8
3. Simplify by dividing each side by 2 and you are left with the answer:
x = 4
Two shapes are similar if their corresponding angles are congruent and their corresponding sides are proportional. Triangle ABC is similar to triangle DEF. What conjecture can you make about the two triangles?
A.) Triangle ABC is bigger than triangle DEF.
B.) ∠A≅∠D.
C.) Triangle ABC is smaller than triangle DEF.
Answer:
B.
Step-by-step explanation:
they would be equal to one another
The solution is Option B) ∠A ≅ ∠D
What are Congruent Triangles?
Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
Given data ,
Two shapes are similar if their corresponding angles are congruent Corresponding sides are proportionalTriangle ABC is similar to triangle DEFNow , Two shapes that are the same size and the same shape are congruent
And ,
For two triangles to be congruent, one of 4 criteria need to be met
The three sides are equal (SSS: side, side, side)Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)Hence , from the given criteria , ∠A≅∠D
To learn more about congruent triangles click :
https://brainly.com/question/26131452
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The profit (in millions of dollars) for a producer of electric scooters can be modeled by P=-x^3+7x where x is the number of scooters produced (in millions). Currently the company produces 2 millions scooters and makes a profit of $6,000,000. What lesser number of scooters could the company produce and still yield the same profit?
Answer:
1 million scooters
Step-by-step explanation:
We are told that the profit (in millions of dollars) for a producer of electric scooters can be modeled by P = -x³ + 7x where x is the number of scooters produced (in millions).
We are told that currently the company produces 2 millions scooters and makes a profit of $6,000,000.
Thus, the profit equation is;
6 = -x³ + 7x
x³ - 7x + 6 = 0
We are given 2 as a root.
Let's try 1.
1³ - 7(1) + 6 = 0
0 = 0
So 1 is a root.
Thus, the lesser number of scooters the company could produce and still yield the same profit is 1 million scooters
explain how to do this problem the easy way my teacher didnt teach us this much of it
Select the correct answer. Solve the following equation for x.
15 x ^2 - 46 x + 16 = 0
A.) x = 8/3, -2/5
B.) x = 8/3, 2/5
C.) x = -8/3, -2/5
D.) x = 3/8, 2/5
Answer:
the answer is D
As an estimation we are told £3 is €4.
Convert £27 to euros
e. A person walked x feet and then half
that length again.
Answer:
3x/2 feet
Step-by-step explanation:
It is given that, a person walked x feet and then half of that length again. We need to find total distance covered by him.
Total distance covered = sum of path travelled
Initial distance = x feet
Extra distance covered = (x/2) feet
Total distance = x+x/2 = 3x/2 feet
So, he will cover 3x/2 feet.
Solve for x if 2(5x + 2)2 = 48.
Answer:
Answer 3.
Step-by-step explanation:
took the quiz on edge
Answer:
c
Step-by-step explanation:
Simplify the expression.
-3(-8-2v+2v) (easy 10 points!)
Answer:
24
Step-by-step explanation:
When a baby was born, he weighed 5.2 pounds, After two weeks, he
weighs 7.8 pounds. What is the percent of increase in the baby's weight
from the time he was born to two weeks later? *
Answer:How much weight should newborns gain?
A healthy newborn is expected to lose 7% to 10% of the birth weight, but should regain that weight within the first 2 weeks or so after birth. During their first month, most newborns gain weight at a rate of about 1 ounce (30 grams) per day.
Step-by-step explanation:
do you play fornite
9if yes then add me
r5qtrr
Answer:
i do but cant now
Step-by-step explanation:
What is the length of WZ? *
WZ = 7.5
WZ = 17.5
WZ = 15
WZ = 12.5