Answer:
f(x) = x^2 ( x -4i) (x+4i)
Step-by-step explanation:
f(x) = x^4 + 16x^2
Factor out x^2
f(x) = x^2 ( x^2 +16)
f(x) = x^2 ( x^2 - -16)
The square root of -16 is 4i and -4i
Using the difference of square (a^2 - b^2) = (a-b)(a+b)
f(x) = x^2 ( x -4i) (x+4i)
use the following picture to classify the following statements as true or false
Marty decided he wants to run a 5K race. He is starting by running 1 3/4km and adding 1/2km each day. How many days will it take him to reach his goal?
Answer:
2day I think might not be right
The number of days it will take him to reach his goal is 6.5 days.
Given that, Marty decided he wants to run a 5 km race.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the number of days be x.
He is starting by running [tex]1\frac{3}{4} =\frac{7}{4}[/tex] km and adding 1/2km each day.
Now, 7/4 +1/2 x= 5
⇒ 1/2 x= 5-7/4
⇒ 1/2 x=13/4
⇒ x=6.5 days
Therefore, the number of days it will take him to reach his goal is 6.5 days.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
Write the equation and show work please
Answer:
y=-3x-5
Step-by-step explanation:
(-1, -2) (0, -5)
use slope formula
ΔY = (-5 – -2) = -3
ΔX = (0 – -1) = 1
m = -3
y=mx+b
-5 = -3(0)+b
b = -5
y=-3x-5
equation of the line that has a slope of - 1/2and passes through the points (4,5)
Answer:
y=-1/2x+7
Step-by-step explanation:
I think its that
Answer:
y = (1/2) x + 3
Step-by-step explanation:
The equation of linear functions is y = m x + b
In this case, we know m = 1/2 , and have point (4,5). We only need to find our y-intercept or b value.
What we can do is substitute what we know into our formula which will give us variable b, or the y-intercept. That will look like:
5 = (1/2) * 4 + b
5 = 2 + b
3 = b
So, the equation is y = (1/2) x + 3 :)
which will result in a perfect square trimonial
Answer:
No choices listed.
Step-by-step explanation:
please, this is the last time I'm asking, just help me with the Volume.
Answer: 4374
Step-by-step explanation:
Solve the equation using the distributive property and properties of equality
3(x+6) = 18
What is the value of x?
6
7 1/2
14 1/2
30
Answer:
0
Step-by-step explanation:
3(x+6)=18
3x+18=18
3x=18-18
3x=0
3x/3=0/3
x =0
El primer día de la tormenta de nieve hubo 9,2 centímetros de nieve. Durante el segundo día de la tormenta, cayeron otros 18,2 centímetros. Si la nevada total durante la tormenta de nieve de tres días fue de 39,1 centímetros, ¿cuánta nieve cayó el tercer día?
Answer:
11.7
Step-by-step explanation:
39.1 - 9.2 = 29.9
29.9 - 18.2 = 11.7
Determine whether the triangles are similar. If so, write a similarity
statement.
Answer:
[tex]\triangle FED\sim \triangle JEH[/tex]
Step-by-step explanation:
Both pairs of vertical angles formed at point E are equal. Therefore, the two triangles share two angles. If two triangles share two angles, they must also share the third angle, since the sum of the interior angles of a triangle add up to 180 degrees. Therefore, all three angles of the two triangles are equal, which is a proof of similarity. [tex]\implies \boxed{\triangle FED\sim \triangle JEH}[/tex]
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Answer:
ΔDEF ~ ΔHEJ
Step-by-step explanation:
The vertical angles at E are congruent, and the marked angles at F and J are congruent. The two triangles are similar by the AA postulate.
The given portion of the similarity statement names the angles in the order "unspecified", "vertical", and "50°". If we name those angles in the same order in the other triangle, the similarity statement becomes ...
ΔDEF ~ ΔHEJ
NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.No guessing please.
The fence around a circular garden is 18 feet long.What is the area of the garden to the nearest square foot?Use 3.14 for pi.
Type the answer in the box
________ square feet
Please help!!! Urgent ….
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Answer:
ΔWZT ~ ΔWXY
Step-by-step explanation:
Angle XWY and angle ZWT are vertical angles, so congruent.
The sides on either side of those angles are proportional:
WZ/WX = WT/WY
11/22 = 10/20 = 1/2
so, we can claim similarity by the SAS Theorem.
ΔWZT ~ ΔWXY
Factor 24m - 12p + 72 to identify the equivalent expressions.
CHOOSE TWO ANSWERS!!!
A.6(4m+2p+12)
B.2(12m-6p+36)
C.12(2m-p+6)
D.24(m-12p+3)
Answer:
B and C
Step-by-step explanation:
If you take the least common factor you'd see that it could be factored to 2(12m-6p+36)
If you take the greatest common factor then it could be factored to 12(2m-p+6)
Help me solve this please !
Answer:
The answer is D, 14. This is because those bars are asking for absolute value, meaning you simply change any negative to a positive and give its value in general instead of as a negative or positive
Which points are on the graph of the function rule f(x) = 10 - 4x
HELP ASAP 35 POINTS
Answer:
Given function:
y = -x² + 6Fill in the table by substituting the value of x:
x = 0 ⇒ y = - 0² + 6 = 6x = 1 ⇒ y = - 1² + 6 = 5x = -1 ⇒ y = -(-1)² + 6 = 5x = 2 ⇒ y = -2² + 6 = 2x = -2 ⇒ y = -(-2)² + 6 = 2The graph is attached
Tom works part-time at a theme park. Last week, he worked the following hours. Type the hours Tom worked in hours and minutes into the boxes below. MON: 7 1 4 hours = hours and minutes TUE: 6 3 4 hours = hours and minutes WED: 5 1 5 hours = hours and minutes THU: 6 1 10 hours = hours and minutes
Answer:
7 hours and 15 minutes
6 hours hours and 45 minutes
5 hours and 12 minutes
6 hours and 10 minutes
Step-by-step explanation:
MON: 7 1/4 hours
= 7 hours and 1/4 hours
1/4 hours = 1/4 × 60 minutes
= 60/4 minutes
= 15 minutes
7 1/4 hours = 7 hours and 15 minutes
TUE: 6 3/4 hours
= 6 hours and 3/4 hours
3/4 hours = 3/4 × 60 minutes
= 180/4 minutes
= 45 minutes
6 3/4 = 6 hours hours and 45 minutes
WED: 5 1/5 hours
= 5 hours and 1/5 hours
1/5 hours = 1/5 × 60 minutes
= 60/5 minutes
= 12 minutes
5 1/5 hours = 5 hours and 12 minutes
THU: 6 1/10 hours
= 6 hours and 1/10 hours
1/10 hours = 1/10 × 60 minutes
= 60/10 minutes
= 6 minutes
6 1/10 hours = 6 hours and 10 minutes
In the figure below, YZA and YZX are right angles, XYZ and AYZ are
congruent, and XZ = 10. What is the length of ZA ?
Answer:
10
Step-by-step explanation:
Triangles AYZ and XYZ are congrunt, therefore AZ = XZ = 10
A cylindrical container of disinfectant wipes with a radius of 1 inch and a height of 10 inches is sold for $3. A two-pack of disinfectant wipes each with the same dimensions is sold for $5. What is the difference in price per cubic inch?
a. $0.01
b. $0.02
c. $0.00
d. $0.09
Answer:
b. $0.02[tex]/in^3[/tex]
Step-by-step explanation:
Given
[tex]r =1in[/tex]
[tex]h = 10in[/tex]
[tex]Cost_{1pk} =\$3[/tex]
[tex]Cost_{2pk} =\$5[/tex]
Required
The difference in the price per [tex]in^3[/tex]
First, calculate the volume (V) of the cylinder
[tex]V = \pi r^2h[/tex]
[tex]V = 3.14 *1^2 * 10[/tex]
[tex]V = 31.4[/tex]
The unit cost of 1 pack is:
[tex]Unit_{1pk} = \frac{Cost_{1pk}}{V}[/tex]
[tex]Unit_{1pk} = \frac{\$3}{31.4in^3}[/tex]
The unit cost of 2 packs is:
[tex]Unit_{2pk} = \frac{Cost_{2pk}}{2*V}[/tex]
[tex]Unit_{2pk} = \frac{\$5}{2*31.4}[/tex]
[tex]Unit_{2pk} = \frac{\$5}{62.8in^3}[/tex]
The difference (d) is:
[tex]d = |Unit_{2pk} - Unit_{2pk}|[/tex]
[tex]d = \frac{\$3}{31.4in^3} - \frac{\$5}{62.8in^3}[/tex]
Take LCM
[tex]d = \frac{\$6 - \$5}{62.8in^3}[/tex]
[tex]d = \frac{\$1}{62.8in^3}[/tex]
[tex]d = \$0.0159/in^3[/tex]
Approximate
[tex]d = \$0.02/in^3[/tex]
Answer:
b)
Step-by-step explanation:
had it on my quiz also give other dude brainliest.
After the first exam in a statistics course, the professor surveyed 14 randomly-selected students to determine the relation between the amount of time they spent studying for the exam and exam score. She found that a linear relation exists between the two variables. The least-squares regression line that describes this relation is: y=6.3333x+53.0298.
Required:
a. Predict the exam score of a student who studies 2 hours.
b. Interpret the slope.
c. What is the mean score of students who did not study?
d. A student who studies 5 hours for the exam scored 81 on the exam. Is this student's exam score above or below average among all students who studies 5 hours?
Solution :
Given :
Equation :
y = 6.3333 x + 53.0298
Here, x = number of hours studied
y = the exam score
a). To predict the exam score, we have to replace x in the least square regression line by 2 :
y = 6.3333 x + 53.0298
y = 6.3333 (2) + 53.0298
= 65.6964
Thus he predicted exam score is 65.6964
b). The slope is the co-efficient of x in the least squares regression line :
Slope = 6.3333
The slope represents the average increase in y as x increases by 1.
The exam score increases on average by 6.3333 points per hour studied.
c). The mean score of the [tex]\text{ students who did not study}[/tex] (studied 0 hours) is obtained by replacing x in the least squares regression line by 0 :
y = 6.3333 x + 53.0298
y = 6.3333 (0) + 53.0298
= 53.0298
d). To predict the exam score of a student who studied 5 hours, we replace x in the least squares regression line by 2 :
y = 6.3333 x + 53.0298
y = 6.3333 (5) + 53.0298
y = 84.6963
Thus the average exam score of a student who studied 5 hours is 84.6963
Since the actual exam score 81 is less than the average exam score of 84.6963 the student's exam score is below the average.
I need help ASAP anyone
Answer:
90
Step-by-step explanation:
there is 6 sides of box
2 bigger and 4 smaller
area of bigger side is 5×5 = 25 this is the area of one side as we have 2 sides so are of both sides is 25 + 25 = 50
now come to the smaller sides ( we have 4 here)
are of one side is 2× 5 = 10
so are of all 4 sides is 10× 4 = 40
now we get area of 4 smaller sides and 2 bigger sides
total area of box is 40+ 50 = 90
hope you understand
Which inequality represents all numbers x on a number line that are farther from −8 than from −4?
Answer:
x - 8>-4-x
Step-by-step explanation:
Looking at x - 8>-4-x
Collect the like terms;
x+x > -4 + 8
2x < 4
x > 4/2
x < 2
Since the values of x are greater than 2,this shows that they are positive values and will be farther from -8 than -4
Which equation represents the slope-intercept form of the line below?
y-intercept = (0,-6)
slope = -5
O A. y = -6x + 5
O B. y = -5x - 6
O C. y = -5x + 6
D. y = -6x-5
Hi there!
»»————- ★ ————-««
I believe your answer is:
Option B: [tex]y=-5x-6[/tex]
»»————- ★ ————-««
Here’s why:
Recall that the slope intercept form of a equation for a line is:⸻⸻⸻⸻
[tex]\boxed{\text{Slope-Intercept Form:}}\\\\------------\\y=mx+b\\\\\boxed{\text{\underline{Key}}}\\\\\rightarrow\text{m - slope}\\\\\rightarrow\text{b - y-intercept}[/tex]
⸻⸻⸻⸻
We are given the information of:
The slope, which is -5.The y-intercept, which is (0, -6).⸻⸻⸻⸻
[tex]\boxed{\text{Replace The Variables with The Appropriate Values:}}\\\\y=mx+b\\\\\rightarrow\text{-5 would replace 'm', -6 would replace 'b'.}\\\\\text{\underline{Therefore:}}\\\\y=mx+b\rightarrow\boxed{y=-5x-6}[/tex]
⸻⸻⸻⸻
Option B should be the correct answer.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Integers help me with this question
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Answer:
5196 m
Step-by-step explanation:
The difference in elevation is found by subtracting one elevation from the other. Usually, we're interested in the positive difference, so we subtract the smaller number from the larger.
5040 -(-156) = 5040 +156 = 5196
The difference in elevation is 5196 meters.
Which of the following ordered pairs is a solution to the equation 4x+6y=12? Select all that apply. Select all that apply: (−3,4) (1,3) (−6,6) (−13,10) (0,2)
Which of the following are true of linear functions? Select all that apply.
There is exactly one output for each input.
The graph of a linear function is a straight line.
A linear function can cross the y-axis in two places.
A linear function has a constant rate of change.
A linear function must cross the x-axis.
Answer:
"there is exactly one output for each input" is cotrrect
"the graph of a linear function" is correct
Step-by-step explanation:
Given the logistic model f(x)= 800/1+19e^-0.402x
what is the initial value? Round your answer to the nearest whole number.
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Answer:
40
Step-by-step explanation:
The "initial value" is the value when x=0.
[tex]f(x)=\dfrac{800}{1+19e^{-0.402x}}\\\\f(0) =\dfrac{800}{1+19e^0}=\dfrac{800}{1+19}=\dfrac{800}{20}\\\\=\boxed{40}[/tex]
The initial value is 40.
If f (x)
6x – 6 , find f (-1)
Answer:
-12
Step-by-step explanation:
f (x)=6x – 6
Let x= -1
f(-1) = 6(-1) -6
= -6-6
= -12
During which period did humans first appear on Earth?
Quaternary
Neogene
Paleogene
Cenozoic
Answer:
According to Science, Quaternary.Step-by-step explanation:
I took the quiz.
But really, the Earth is not that old. just a couple thousand years old.
There is no such thing as 2.3 million billion years ago. There is someone with a greater power above who created everything.
Hope this helps and have a great day!
:)
Answer:
A. Quaternary
Step-by-step explanation:
Complete the input-output table for the function y = 3x.
Input-Output table
Answer:
Y: 0, x:0
Y:1, x: 3
Y: 2, x: 6
Y: 3, x:9
Step-by-step explanation:
Plug in the x to get the y
[tex]4 \sqrt{(3x}^{3} [/tex]
write in exponential form
Answer:
[tex]4(3x)^{\frac{3}{2} }[/tex]
Step-by-step explanation:
