Answer:
see explanation
Step-by-step explanation:
the codomain are the values of f(x) from the y- coordinate of the vertex upwards.
given a quadratic in standard form
y = ax² + bx + c ( a ≠ 0 )
then the x- coordinate of the vertex is
[tex]x_{V}[/tex] = - [tex]\frac{b}{2a}[/tex]
f(x) = 2x² + 4x - 1 ← is in standard form
with a = 2 and b = 4 , then
[tex]x_{V}[/tex] = - [tex]\frac{4}{4}[/tex] = - 1
substitute x = - 1 into f(x) for y- coordinate of vertex
f(- 1) = 2(- 1)² + 4(- 1) - 1 = 2 - 4 - 1 = - 3
vertex = (- 1, - 3 )
since the coefficient of the x² term > 0 then the graph opens up U
then codomain is [ - 3, ∞ )
solve the quadratic formula x^2+4x-3=0
Answer:
using quadratic equation formula
-b±/b²‐4ac all over 2a
PLSS HELP ME WITH THIS!! 20 POINTSS The following graph shows a proportional relationship. What is the constant of proportionality between y and a in the graph?
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
The gradient of this graph is 2/3 so the equation of the line is
[tex]y= \frac{2}{3}x[/tex]
However, the question is asking for proportionality which has the equation:
[tex]y=kx[/tex]
So k in this instance is [tex]\frac{2}{3}[/tex].
Which type of individuals within a species is most likely to survive and reproduce.
A. The best camouflaged against predators.
B. The most intelligent.
C. The strongest.
D. The best adapted to their environment.
Answer:
B.
Step-by-step explanation:
if smart, they can hide
Alex has already saved $500 this summer. He wants to save at least $700. Create an inequality to show the amount of money, m. Alex still needs to save
Answer:
$200
Step-by-step explanation:
$700
-$500
$200
Therefore Alex needs to save $200 more to get the $700
To solve a system of equations, you cannot replace a variable with an equal value or expression
Answer: This is FALSE, you can replace a variable with an equal value or expression
Step-by-step explanation:
If you can substitute an unknown variable with another equal expression, you can then solve for another variable, and with that equal expression, solve for the first variable.
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Solve the following expression for t select all that apply
A:9
B:42
C: 45
D: t+3=45
Answer:
Option B ([tex]42[/tex]) and D ([tex]t + 3 = 45[/tex])
Step-by-step explanation:
Step 1: Multiply both sides by 15
[tex]\frac{t + 3}{15} = 3[/tex]
[tex]\frac{t + 3}{15} * 15 = 3 * 15[/tex]
[tex]t+3=45[/tex]
Step 2: Subtract 3 from both sides
[tex]t + 3 -3 = 45 -3[/tex]
[tex]t = 42[/tex]
Answer: Option B ([tex]42[/tex]) and D ([tex]t + 3 = 45[/tex])
Here my Answer :)))))))
solve using elimination
3x-y=17-x+y=-7
Answer:
x=5
Step-by-step explanation:
.
how many gallons are in 8 1/4?
The total number of gallons in 8.25 quartz is 2.0625 gallons
Conversion of gallons to quartzAccording to the given question, we are to convert 8 1/4 quartz to gallons
According to the standard conversion
1 gallons = 4 quarts
x = 8.25 quartz
Take the ratio
1/x = 4/8.25
4x = 8.25
x = 8.25/4
x = 2.0625 gallons
Hence the total number of gallons in 8.25 quartz is 2.0625 gallons
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30 POINTS!!!!! (answer with work please)
1) A cone with volume 1350 m³ is dilated by a scale factor of 1/3. What is the volume of the resulting cone?
2) The top of the silo is a hemisphere with a radius of 11 ft. The bottom of the silo is a cylinder with a height of 38 ft. How many cubic feet of grain can the silo hold? Use 3.14 for pi and round your answer to the nearest cubic foot.
Answer: The answer is 50 m³.
Step-by-step explanation: We are given to find the volume of the cone cone after being dilated by a factor of one-third from a cone with volume 1350 m³.
The volume of a cone with base radius 'r' units and height 'h' units is given by
[tex]V=\frac{1}{3}\pi r^2h.[/tex]
Therefore, if 'r' is the radius of the base of original cone and 'h' is the height, then we can write
[tex]V=\frac{1}{3}\pi r^2h=1350[/tex]
⇒ [tex]\pi r^2h=4050.[/tex]
Now, if we dilate the cone by a scale factor of , then the radius and height will become one-third of the original one.
Therefore, the volume of the dilated cone will be
[tex]V_d=\frac{1}{3}\pi (\frac{r}{3})^2\frac{h}{3} =\frac{1}{81}[/tex] × [tex]\pi r^2h=\frac{1}{81}[/tex] × [tex]4050=50[/tex]
Thus, the volume of the resulting cone will be 50 m³.
A bucket holding several inches of water was placed under a leaking faucet. Water leaked into the bucket so that the level of the water in the bucket increased by a certain number of inches per hour. The equation y=2x+4 represents this situation, where x is the number of hours and y is the number of inches of water in the bucket. What does the number 4 in the equation represent? A total of 4 inches of water leaked into the bucket. The bucket initially held 4 inches of water. The water level decreased by 4 inches per hour. The water level increased by 4 inches per hour.
The number 4 represents the initially held water of the bucket. Then the correct option is B.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
A bucket holding several inches of water was placed under a leaking faucet.
Water leaking into the bucket so that the level of the water in the bucket increased by a certain number of inches per hour.
The equation y = 2x + 4 represents this situation, where x is the number of hours and y is the number of inches of water in the bucket.
Then the number 4 in the equation represents.
The number 4 represents the initially held water of the bucket.
More about the linear system link is given below.
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Correlation analysis is used to determine
Answer:
Correlation analysis is used to quantify the degree to which two variables are related.
Step-by-step explanation:
In research, correlation analysis is a statistical approach for calculating and measuring the strength of a linear relationship between two variables. Simply defined, correlation analysis determines how much one variable changes as a result of the change in the other. A high correlation indicates a strong association between two variables, whereas a low correlation indicates a weak relationship.
how many different roots does the polynomial function have y = (x-2)(x+3)^2 have
Answer:
[tex]x=2,-3[/tex]
Step-by-step explanation:
Set [tex](x-2)(x+3)^2[/tex] equal to [tex]0[/tex].
[tex](x-2)(x-3)^22=0[/tex]
Solve for [tex]x[/tex].
If any individual factor on the left side of the equation is equal to [tex]0[/tex], the entire expression will be equal to [tex]0[/tex].
[tex]x-2=0\\(x+3)^2=0[/tex]
Set the first factor equal to [tex]0[/tex] and solve.
Set the first factor equal to [tex]0[/tex].
[tex]x-2=0[/tex]
Add [tex]2[/tex] to both sides of the equation.
[tex]x=2[/tex]
Set the next factor equal to [tex]0[/tex] and solve.
Set the next factor equal to [tex]0[/tex].
[tex](x+3)^2=0[/tex]
Set the [tex]x+3[/tex] equal to [tex]0.[/tex]
[tex]x+3=0[/tex]
Subtract [tex]-3[/tex] from both sides of the equation.
[tex]x=-3[/tex]
The final solution is all the values that make [tex](x-2)(x+3)^2=0[/tex] true.
[tex]x=2,-3[/tex]
Find the value of log1/1000
just do it with a calculator the answer is -3
Answer:
-3
Step-by-step explanation:
log (1/1000)
log ( 10^-3)
= -3
Please help me do this mathematics assignment
Answer:
dy = -3
dx
equation of normal=
y=1/3x+1
Step-by-step explanation:
dy/dx=10x-3
=10(0)-3
= -3
equation of normal:
grad=1/3
y-1 =1/3
x-0
3y-3=x
y= 1/3x+1
[tex]\underline{\textbf{First part:}} \\\\\text{Given that,}\\\\~~~~~~y= 5x^2-3x+6\\\\\\\implies \dfrac{dy}{dx} = \dfrac{dy}{dx} (5x^2 -3x +6)\\ \\\\~~~~~~~~~~~=5\dfrac{d}{dx} x^2-3\dfrac{d}{dx} x + \dfrac{d}{dx} (6)\\\\\\~~~~~~~~~~~=5\cdot 2x-3+0\\\\\\~~~~~~~~~~~=10x-3\\\\\text{At (0,1)}\\\\\dfrac{dy}{dx} = 10(0) -3 \\\\~~~~~=0-3\\\\~~~~~=-3[/tex]
[tex]\underline{\textbf{Second part:}}\\\\[/tex]
[tex]\text{Equation of normal,}\\\\~~~~~~y-y_1 = -\dfrac{1}{\tfrac{dy}{dx}} (x-x_1)\\\\\\\implies y - 1 = -\dfrac 1{-3 }(x-0)\\\\\\\implies y-1 = \dfrac 13 x\\\\\\\implies y= \dfrac 13 x +1[/tex]
A shopping center keeps track of the number of customers in each store at lunchtime. The data shows the number of customers in the 15 different stores in the shopping center last Sunday.
4, 18, 20, 17, 16, 23, 19, 14, 8, 8, 6, 12, 10, 14, 18
Create a histogram of this data.
To create a histogram, hover over each number of customers range on the x-axis. Then click and drag up to plot the data.
Answer:
0-4 should go up to 1 5-9 should go up to 3 10-14 should go up to 4 15-19 should go up to 5 20-14 should go up to 2
Step-by-step explanation:
Hope this helps!
What is the slope of the line that
passes through these two points?
(-1,4)
(2, 2)
slope
Remember, given two points,
(x1.yu)
(x, y
Slope
rise (y2-yı)
run (x2-1)
Answer:
slope= -2/3
explanation: 2-4/2+1
PLEASE HELP ME IGIVE YA'LL 12 POINTS PLEASE HELP ME
Directions: Factor the following trinomials containing negative numbers. Follow the rules for operations with signed numbers to identify the correct binomial factors.
1. x2 + 6x - 7
2. x2 - 5x + 6
3. x2 - 6x - 7
4. x2 + 5x - 6
5. x2 + x - 12
6. x2 - 2x - 8
7. x2 - 4x - 5
8. x2 + 2x - 3
9. x2 - 16
10. x2 - x - 12
11. x2 -9x + 18
12. x2 -5x - 14
13. x2 - 7x + 10
14. x2 -11x + 24
15. x2 - x - 30
Answer:
Step-by-step explanation:
1. x2 + 6x - 7
2. x2 - 5x + 6
3. x2 - 6x - 7
4. x2 + 5x - 6
5. x2 + x - 12
6. x2 - 2x - 8
7. x2 - 4x - 5
8. x2 + 2x - 3
9. x2 - 16
10. x2 - x - 12
11. x2 -9x + 18
12. x2 -5x - 14
13. x2 - 7x + 10
14. x2 -11x + 24
15. x2 - x - 30
How did the x value change if it went from 4 to 6?
Why does the shape of the moon appear to change over the course of about a month? (2 points)
Group of answer choices
The sun is always lighting up the same amount of the moon.
The sun is lighting up different amounts of the moon.
The moon changes shape over the course of a month.
The moon shrinks and grows bigger depending on the time of month.
In the unit, you found the probability of a compound event by identifying the sample space. However, it is also possible to find the probability of a compound event without finding the sample space. To do this, multiply the probability of the first event by the probability of the second event. For example, the probability of flipping heads twice on a coin is . Using this idea, what is the probability that the next cougar and bear caught will both be unmarked?
Answer:
0.07%
Explanation:
I helped somebody else with the same question! haha
In a classroom, 4/6of the students are wearing
sneakers. This is 3/6more than the fraction of the
students wearing boots. What fraction of the
students are wearing boots? Write an equation
to model the problem.
Natalie was asked to find the angle measures of a triangle that has the ratio 1:3:5 . Natalie made a mistake in her work. Find the mistake and correct it.
what is the remainder for the synthetic division problem? (image attached)
Answer:
D
Step-by-step explanation:
3 | 1 5 - 8 6
↓ 3 24 48
----------------------
1 8 16 54 ← Remainder
Determining Continuity
Use the graph to answer the question.
Using limits, for which value of x is the function
continuous? Check all that apply.
-2
-1
0
3
5
Answer:
A, C, E
Step-by-step explanation:
i got the question wrong so yall could get it right
Given the following set of numbers find the mean, median and mode. 6, 6, 8, 7, 10, 14, 13, 6, 5, 7, 8, 10, 13, 6, 7
Mean, median, and mode of the given data is 8.4, 7, and 6 respectively.
What is Central Tendency?A central tendency is a central or typical value for a probability distribution. Colloquially, measures of central tendency are often called averages. The term central tendency dates from the late 1920s. The most common measures of central tendency are the arithmetic mean, the median, and the mode.
Here, Given data
x f xf
5 1 5
6 4 24
7 3 21
8 2 16
10 2 20
13 2 26
14 1 14
Mean = ∑xf/∑f
= 126/15
= 8.4
Median = 7
Mode = 6
Thus, Mean, median, and mode of the given data is 8.4, 7, and 6 respectively.
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Find the total surface area of the triangular prism
shown below.
5 cm.
5 cm.
11 cm.
6 cm.
Answer:
Answer:
124.84
Step-by-step explanation:
A = ah + bh + ch + 1 /2×√( ﹣a^4 ﹣ b^4 ﹣ c^4+ 2(ab)² + 2(ac)² + 2(bc)² ) =4×7+5×7+6×7+ 1 /2×√(-4^4 - 5^4 - 6^4 + 2(4×5)² + 2(4×6)² + 2(5×6)² )
≈ 124.84313
Step-by-step explanation:
help please i need help
Answer: it will be A And D
Step-by-step explanation:
PLEASE SHOW ALL YOUR WORK!!!
If popsicles cost $1.92 per dozen, what would be the cost of 60 popsicles?
Group of answer choices
$10.10
$9.60
$9.75
Answer:
$9.60
Step-by-step explanation:
$1.92 = per dozen
60 = how many dozens?
12 = one dozen.
60/12 = 5
5 dozens in 60 popiscles
If we know that we have 5 dozens and it costs $1.92 per dozen, we can just multipty those two numbers.
1.92*5=9.60
So, the cost of 60 popsiciales is $9.60!
Hello Please Find The Answer To This Question (easy) Part 2
Answer:
y=[tex]-\frac{1}{6}[/tex]x-2
Step-by-step explanation:
by using this website
its a graphing calculator
desmos. com/calculator
PLEASEE HELP ME WITH !!!!!
Answer:
C = 101
Step-by-step explanation:
A triangle has 180 degrees, so just minus 28 and 51 by that and you get 101... it's pretty simple