Answer:
x^2-11x-12
Step-by-step explanation:
I use the box method, which makes a 2x2 box. Then you arrange you numbers based on the equation (show in image)
Then you multiply it out and get the equation
F(x)= x^2+x-12x-12
Simplify your equation and you get
F(x)= x^2-11x-12
The sides of an equilateral triangle measure 0.2(10x+90)cm each. If the perimeter of the triangle is 612.6 cm, what is the side length?
Write the equation to solve the problem.
Solve for x
Find the side of the triangle
Answer:
204.2 cm
Step-by-step explanation:
equilateral means all sides are of equal length.
the perimeter of such a triangle is simply 3 times one of these sides.
so,
612.6 = 3×0.2×(10x + 90) = 0.6×(10x+90) = 6x + 54
6x = 558.6
x = 93.1
so, a single side is
0.2×(10×93.1 +90) = 0.2×(931 + 90) = 0.2×1021 = 204.2 cm
to check
3×204.2 = 612.6 = the original perimeter.
so, correct.
Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.
Answer: Choice B
Open circle at 3. Shading to the right
========================================================
Work Shown:
3(8 - 4x) < 6(x - 5)
24 - 12x < 6x - 30
24 + 30 < 6x + 12x
54 < 18x
18x > 54
x > 54/18
x > 3
We use an open circle at 3 to indicate we don't include this endpoint as part of the solution. The solution set is everything larger than 3, so we shade to the right of this open circle.
Calcula el valor de “x” en:
5(3x – 4) – 17 = 5(x + 8) – 17
Answer: x = 6
Step-by-step explanation:
Sume 17 a ambos lados
5(3x-4)-17 + 17=5(x+8)-17 +17
Simplifica
5(3x-4)=5(x+8)
Expandir 5(3x -4) : 15x - 20
Expandir 5(x+8) : 5x +40
15x - 20 = 5x +40
Sume 20 a ambos lados
15x - 20 + 20 = 5x +40 +20
Simplifica
15x = 5x +60
Restar 5 de ambos lados
15x - 5x = 5x + 60 - 5x
Simplifica
10x = 60
Divide ambos lados entre 10
10x/10 = 60/10
Simplifica
x = 6
what is 2/5 divided by -1/2 minus 3/2
Answer:
[tex] - \frac{23}{10} [/tex]
Step-by-step explanation:
[tex] \frac{2}{5} \div \frac{ - 1}{2} - \frac{3}{2} [/tex]
➡️ [tex] - \frac{2}{5} \times 2 - \frac{3}{2} [/tex]
➡️ [tex] - \frac{4}{5} - \frac{3}{2} [/tex]
➡️ [tex] - \frac{23}{10} [/tex]
7.
Find the number of real number solutions for the equation. x2 – 18 = 0
A. cannot be determined
B. 0
C. 1
D. 2
use the ratio of a 45-45-90 triangle to solve for the variables
Answer:
1:1:√ 2
Step-by-step explanation:
Answer:
u = 14
v = 14
Step-by-step explanation:
since both angles around the 90 degree angle are the same, also the sides need to be of equal length. v = u
so, we can use Pythagoras
(14×sqrt(2))² = u² + u² = 2u²
196×2 = 2u²
196 = u²
u = 14 = v
For the parabola y = (x+14)^2 -4, The value of the y coordinate of the vertex is?
Answer:
-4
Step-by-step explanation:
y = (x+14)^2 -4
The equation is in vertex form
y = a(x-h)^2 + k where (h,k) is the vertex
The y coordinate of the vertex is k = -4
Answer:
y - coordinate = - 4
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = (x + 14)² - 4 ← is in vertex form
with vertex = (- 14, - 4 )
The y- coordinate of the vertex = - 4
Which expression is equivalent to 2x2x2x2x2
Answer:
2^5
Step-by-step explanation:
2x2x2x2x2
Count the number of 2's, that is the power
The base is 2
2^5
Answer:
2 to the power of 5
Step-by-step explanation:
there are 5 2's being multiplied by each other and that can be shortened to the power of 5.
The average heights of four samples taken from a population of students are shown in the table. Which of these is most likely closest to the average height of the population?
Using the Central Limit Theorem, the mean height that is most likely closest to the average height of the population is:
B. 57.
What does the Central Limit Theorem state?It states that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
The interpretation of the equation for the standard error is that larger sample sizes will lead to estimates closer to the actual population parameters.
From the table, the largest sample size in this problem is of 40, and this sample had a mean of 57, hence the mean height that is most likely closest to the average height of the population is:
B. 57.
More can be learned about the Central Limit Theorem at https://brainly.com/question/16695444
#SPJ1
Find the slope of the line that contains (-1, 9) and (9, 9).
Step-by-step explanation:
using the slope formula, we can see that the slope is 0
What is the constant of proportionality in the equation y=2.5x
Answer:
2.5
Step-by-step explanation:
5 a. how to convet 2 hour to second
Answer:
Step-by-step explanation:
2 hour
To seconds = 7200
Hope this answer helps you :)
Have a great day
Mark brainliest
Please help me solve this short problem guys
Answer:
Step-by-step explanation:
Given equation of the quadratic function is,
y = x² + 5x - 7
Convert this equation into vertex form,
y = x² + 2(2.5x) - 7
= x² + 2(2.5x) + (2.5)² - (2.5)² - 7
= (x + 2.5)²- 6.25 - 7
= (x + 2.5)² - 13.25
Therefore, vertex of the function is → (-2.5, -13.25)
For the solutions,
y = 0
(x + 2.5)² - 13.25 = 0
x = (±√13.25) - 2.5
x = (±3.64) - 2.5
x = 1.14, -6.14
Solutions → (-6.14, 0) and (1.14, 0)
An airplane travels 3690 kilometers against the wind in 5 hours and 4490 kilometer with the wind in the Sam amount of time what is the rate of the plane
still air and what is the rate of the wind?
Step-by-step explanation:
Against the wind, the wind works against the speed. With the wind, the wind aids the speed.
4(p - w) = 2416
4(p + w) = 2896
p - w = 604
p + w = 724
2p = 1328
p = 664 mph
664 + w = 724
w = 60 mph
The supply station donated 115 notebooks to mrs.Michale to give to her class there are 28 students in her class mrs.Michale gives each student the same number of notebooks how many notebooks does she give each student
Answer:
4.107
Step-by-step explanation:
115/28=4.107
how many square metres of floor are there in a room of 6 metres
ig something like that
Answer:
36² metres
Step-by-step explanation:
I'm assuming you mean 6 metre wide/long floor. Area is L*W so 6*6
Look at the graph shown.
Which equation best represents the line? (4 points)
y = 1 over 3.x − 1
y = 3x − 1
y = −x + 1 over 3.
y = 3x + 1
Answer:
y=3x - 1
Step-by-step explanation:
we are going to base the answer off of the y=mx+b form where m represents slope and b represents the y-intercept.
we know that b must be -1 because the line hits the y-axis when y is -1
this now leaves us with either the first or second choice
we then choose two points to find the slope. I am using (0,-1) and (1,2). If you count the boxes, the y-value increases by 3 as the x-value increases by 1. So the slope is 3/1 or 3.
so then we know the answer is y=3x-1
hope this helps
A boat travels 160 miles per hour. What is the speed in miles per minute?
Now
[tex]\\ \sf\longmapsto 160\times \dfrac{1}{60}[/tex]
[tex]\\ \sf\longmapsto \dfrac{160}{60}[/tex]
[tex]\\ \sf\longmapsto 2.6miles/min[/tex]
Please answer this, I don't have much time left!
Answer
1 + 5 ÷ 5
This would equal 2, using BIDMAS.
the area of a trapezoid is 21 inches, one of its bases is 8 inches and its height is 3 inches. What is the length of the last base?
Answer:
6 inches
Step-by-step explanation:
A=b1+b2/2*h
Fill in the equation with what we know
21=8+x/2*3
Isolate x
Quick steps: 21/3=7*2=14-8=6
x=6
29 A student has N425. He bought seven ex-
ercise books and he was given N5 as
change. What is the average cost of one
exercise book?
A N60.71 B N50 C N60
DN50.71 E
N75
Which absolute value equation represents the graph A) f(x)=-|3x|-5 B) f(x)=3|x-5| C)f(x)=5|x|-3 D)f(x)=|5x-3|
Answer:
The choose B. f(x)=3|x-5|
I hope I helped you^_^
PLEASE HELP
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Complete the inverse function for the function given below.
Answer:
[tex]f^{-1}[/tex](x) = 0.5x + 2
Step-by-step explanation:
let y = f(x) and rearrange making x the subject , that is
y = 2x - 4 ( add 4 to both sides )
y + 4 = 2x ( divide both sides by 2 )
[tex]\frac{y+4}{2}[/tex] = x
Change y back into terms of x with x = [tex]f^{-1}[/tex] (x)
[tex]f^{-1}[/tex] (x) = [tex]\frac{x+4}{2}[/tex] = 0.5x + 2
Answer: F -1(x) = 0.5 x + 2
Step-by-step explanation:
Just took the test on edmentum and got a 100
anyone wanna help me with this.
Answer:
b
Step-by-step explanation:
2/(x+2)≠1/(x+1)
Find the measure of each angle supplementary angles with measures 2X +3 and 3X +2
supplementary angles = the sum of those angles will equal to 180 degrees
so,
2x + 3 + 3x + 2 = 180
5x + 5 = 180
5x = 175
x = 35
angle 1 -> 2x + 3 = 70 + 3 = 73
angle 2 -> 3x + 2 = 105 + 2 = 107
if you want to check, 107 + 73 = 180
hope it helps :)
If an = 2n - 8, then which one is not a term of the sequence? ( an means nth term)
a) 13
b) 16
c) 204
d) 198
Answer:
13 is answer
Step-by-step explanation:
hope it helps
What is the median for the set of data? 6, 7, 10, 12, 12, 13
Answer choices:
6
7
10
12
12
13
Answer:
11
Step-by-step explanation:
If the set of numbers are not in least to greatest first set them up into their positions. But since this set is already in least to greatest we can go to the next step.
6, 7, 10, 12, 12, 13
Cross off all numbers until you get to the middle:
6, 7, 10, 12, 12, 13
Find the mean of the numbers in the middle:
10 + 12 = 22
22 / 2 = 11
The answer is 11
Hope this helped.
Answer:
11
Step-by-step explanation:
10+12=22
22÷2=11
median is equal to the middle number after being arranged in ascending order.
PLEASE HELP PLEASE!!!! AB←→||CD←→ . Find the measure of ∠BFG.
Answer:
BFG = 135
Step-by-step explanation:
The angles are alternate interior angles and alternate interior angles are equal when the lines are parallel
3x+15 = 5x-5
Subtract 3x from each side
3x+15-3x = 5x-5-3x
15 = 2x-5
Add 5 to each side
15+5 = 2x-5+5
20 = 2x
Divide by 2
20/2 = 2x/2
10 =x
We know that AFG + BFG = 180 since it forms a straight line
AFG + BFG = 180
3x+15 + BFG = 180
3(10) + 15 + BFG = 180
30+15 + BFG = 180
45 + BFG = 180
BFG = 180-45
BFG = 135
Answer:
<BFG = 135
Step-by-step explanation:
They are the same angle, so they will be equal to eachother.
3x + 15 = 5x - 5
-3x -3x
----------------------
15 = 2x - 5
+5 +5
-----------------------
20 = 2x
----- ----
2 2
10 = x
3(10) + 15
30 + 15
45
180-45 = 135
The answer is 135.
Trigonometry help needed
help would be appreciated
Answer:
Step-by-step explanation:
Question 5
Part A
if Sin(x) = - 3/5 and tan(x) < 0
you are told 3 things
cos(x) must be plus because there are 4 quads. Everybody is plus in quad 1. Sin and tan are <0 so you must be in quad 4 where cos(x) => 0From sin^2(x) + cos^2(x) = 1, we get that cos(x) = 4/5Tan(x) = sin(x) / cos(x)tan(x) = Sin(x)/cos(x)
tan(x) = -3/5 // 4/5
Tan(x) = -3/4
Part B
cos(2x) = cos^2(x) - sin^2(x)
cos(2x) = (4/5)^2 - (-3/5)^2
cos(2x) = 16/25 - 9/25
cos(2x) = 7/25
Part B
x + y = 90
sin(x +y) = 1
Sin(x - y) =
Sorry can't do this part. I don't know what this is equal to.
Calculate : y
y = 20
y = 10
y = 15
y = 144
choose the only correct answer