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.
Step-by-step explanation:
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.
Solve the inequality:
3(8 – 4x) < 6(x – 5)8 - 4x < 2(x - 5)8 - 4x < 2x - 108 + 10 < 4x + 2x18 < 6x3 < xx > 3The solution set is the space to the right from 3, where 3 is given by an open circle.
Correct choice reflecting the answer is B:
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.
4x2 -28x-32 fully factored
GCF=4
4(4x^2/4+-28x/4+-32f/4)
=4(x^2-7x-8f)
Hello,
[tex]4x^2-28x-32\\\\=4(x^2-7x-8)\\\\=4(x^2-8x+x-8)\\\\=4[x(x-8)+1(x-8)]\\\\=4(x-8)(x+1)\\[/tex]
hi i need help with this
Evaluate 4(3-1)^2
Hey there!
4(3 - 1)^2
3 - 1 = 2
= 4(2^2)
2^2
= 2 * 2
= 4
4(4)
= 16
Answer: 16
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Answer:
4(3-1)^2= 16
Step-by-step explanation:
4(3-1)^2
=4×(2)^2
=4×4
=16 ........
HOPE THIS HELPS YOU....
A bus leaves Riverside for Springfield and averages only 48 mph. Ten minutes later Smith leaves Riverside for Springfield traveling 64 mph in his car. How long before he overtakes the bus?
Answer:
pls give brainliest even if u dont want to. it will make u better person. when u give brainliest it makes u 3 times smarter
Step-by-step explanation:
Smith overtakes the bus at (2/3)×60=40 minutes
What is speed?
A body is said to have speed v if he travels v distance in unit time.
How to solve it?Suppose that Smith overtakes the bus at a time 't'. Then the distance traveled by bus is 48×t m and that by Smith is 64×(t-1/6).
Smith needs t-1/6 hours to reach the same position that the bus is in.
Since Smith leaves ten minutes later hence it takes t-1/6 hours for him to overtake the bus.
Because 10 minutes is equal to 10/60=1/6 hour.
So,
48×t=64×(t-1/6)
⇒t=2/3
Hence, Smith overtakes the bus at (2/3)×60=40 minutes
Learn more about speed and distance here-
brainly.com/question/12759408
#SPJ2
Please help guys!
Use point slope formula please
Answer:
[tex]y - 2 = - \frac{6}{5} (x - 0)[/tex]
Step-by-step explanation:
The Point Slope formula is a algebraic formula used for
when we know it slope When we know a pair of coordinatesThe formula is
[tex]{y - y _1} = m(x - x_1)[/tex]
We are given its slope and we know a pair of points
Note a y intercept is (0,b). Where b is any real number so our points are (0,2).
Plug it in the expression
[tex]y - 2 = - \frac{6}{5} (x - 0)[/tex]
Calculate the sum of the integers from 52 to 108
Answer:3136
Step-by-s
tep explanation:
Answer:
4506
Step-by-step explanation:
you have do like this 56+57+58+59+60+.....+108 look you will 4506 as answer
i've been stuck on this question for 3 days ;< halp meh ples
Calculate the average time for each vehicle.
What was the average time for the Big Car? Show your work.
What was the average time for the Small Car? Show your work.
Calculate the average speed for each vehicle. Use the average time for this calculation.
What was the average speed for the Big Car? Show your work.
What was the average speed for the Small Car? Show your work.
Answer:
1.
avg time = total time/ 3
for big car :-
= 4.46/ 3
= 1.48
for small car :-
= 5.14/ 3
= 1.71
2.
avg speed = total distance/ total time
for big car:-
= 2/ 4.46
= 0.45
for small car :-
= 2/ 5.14
= 0.4
Is 3a = 9 true or false when x is 3?
Please help, I also need an explanation.
What is the slope of the line represented by the equation y-6 = 5(x-2)?
O A. 6
O B. 5
O C. -5
O D. 2
Answer:
B
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 6 = 5(x - 2) ← is in point- slope form
with slope m = 5 → B
Your vacation cabin on the lake has three rooms. The bathroom is 12' X 6', the bedroom is 14' X 18' and the great room is 20' X 30'. The ceiling height is 10'. What is the total volume of your cabin? Group of answer choices 9420 Cubic Feet 9240 Cubic Feet 9240 Square Feet 9420 Square Feet
Answer: [tex]9240\ ft^3[/tex]
Step-by-step explanation:
Given
Dimension of the bathroom is [tex]12'\times 16'[/tex]
Dimension of the bedroom is [tex]14'\times 18[/tex]
Dimension of the great room is [tex]20'\times 30'[/tex]
Height of the ceiling is [tex]h=10'[/tex]
Total area of the cabin
[tex]\Rightarrow A=12\times6+14\times 18+20\times 30\\\Rightarrow A=72+252+600\\\Rightarrow A=924\ ft^2[/tex]
Volume of the cabin is [tex]V=A\times h[/tex]
[tex]\Rightarrow V=924\times 10\\\Rightarrow V=9240\ ft^3[/tex]
Help me solve for X I forgot how to this
Step-by-step explanation:
hope it helps you.........
Answer:
[tex]here \: is \: your \: solution : - \\ \\ here \: is \: a \: right \: traingle \: with \\ \\ base \: = 52 \: units \\ \\ hypotenuse \: = 65 \: units \\ \\ perpendicular \: = {?} \\ \\ we \: need \: to \: find \: perpendicular \\ \\ by \: using \: pythagorus \: theorem : - \\ \\ perpendicular ^{2} \: = base ^{2} + perpendicular ^{2} \: \\ \\ perpendicular^{2} \: = 65 {}^{2} - 52 {}^{2} \\ \\ perpendicular {}^{2} = (4225 - 2704) \\ \\ perpendicular {}^{2} = 1521 \\ \\ perpendicular = \sqrt{1521} \\ \\ perpendicular = 39 \: units \: \\ \\ hope \: it \: helps \: you \: [/tex]
A single equation representing both lines x+y=0 and x+2y = 0 is ?
Answer:
The single equation is [tex]y = 0[/tex]
Step-by-step explanation:
We are given the following system of equations:
[tex]x + y = 0[/tex]
[tex]x + 2y = 0[/tex]
From the first equation:
[tex]x = -y[/tex]
Replacing in the second equation:
[tex]-y + 2y = 0[/tex]
[tex]y = 0[/tex]
The single equation is [tex]y = 0[/tex]
A softball pitcher throws a softball to a catcher behind home plate. The softball is 3 feet above the ground when it leaves the pitcher's hand at a velocity of 50 feet per second. If the softball's acceleration is –16 ft/s2, which quadratic equation models the situation correctly?
Answer:
The function is:
[tex]f(t) = -16t^2 + 50t + 3[/tex]
Step-by-step explanation:
Given
[tex]height = 3ft[/tex]
[tex]velocity = 50ft/s[/tex]
[tex]acceleration = -16ft/s^2[/tex]
Required
The function
Let t represents time;
So, we have:
[tex]f(t) = acceleration * t^2 + velocity * t + height[/tex]
So, we have:
[tex]f(t) = -16* t^2 + 50* t + 3[/tex]
[tex]f(t) = -16t^2 + 50t + 3[/tex]
Answer:
b on edge
Step-by-step explanation:
Could someone please help me with this question? Thanks.
Answer:
Step-by-step explanation:
MM oute le iloa
3 + 5 . (-3)=
5 . ( - 6 + 2 ) - 4=
- 5 + 8 . 2 + 1=
4/6 + 13/6 - 5/6=
2 . 8 - 5 . (3 - 4)=
7/3 . 5/2=
Step-by-step explanation:
PEMDAS rule
3 -15 = -12
-20 - 4 = -24
-5 + 16 + 1 = 12
= 12/6 which = 2
15 + 5 = 20
35/6 = 5 5/6
How many solutions are there to the equation below? 9(x – 4) = 9x – 33
Answer:
no solution
Step-by-step explanation:
whats the equation of this horizantal line
Answer:
[tex]y=-7[/tex]
Step-by-step explanation:
Hope this helps you.
Answer:
y = — 7
Step-by-step explanation:
thanks for the pts
✌️❤️✌️
What is the length of the dotted line in the diagram below? Leave your answer in simplest radical form. HELP PLEASE
Answer:
11.7…?
Step-by-step explanation:
Small triangle and other triangle are similar based on sas theorem (I think) so find scale factor — 2— then do Pythagorean theorem
line I is parallel to line m.if the maesure of angle 6 is 75 what is the measure of angle 3
Answer:
105
Step-by-step explanation:
l is parallel m so angle 3+angle 6=180
Please help! Find the length of side CD.
Answer:
The answer should be 6.63
Bd and bc form a right triangle with cd
Use the Pythagorean theorem
Cd = sqrt( 12^2 - 10^2)
Cd = sqrt( 144-100)
Cd = sqrt(44) = 2sqrt(11)
Find a number such that if 16 is added to it, the ratio of the result to the original number is 4:3
Answer:
48
Step-by-step explanation:
let the number be x and x + 16 the result of adding 16 to it, then
the ratio of the result to the original is
[tex]\frac{x+16}{x}[/tex] = [tex]\frac{4}{3}[/tex] ( cross- multiply )
4x = 3(x + 16) = 3x + 48 ( subtract 3x from both sides )
x = 48
HELP HELP HELPPPP PLEASEEE
Directions: Determine if segments AB and CD are parallel, perpendicular, or neither.
AB formed by (-2, 13) and (0, 3)
CD formed by (-5, 0) and (10, 3)
Given:
AB formed by (-2,13) and (0,3).
CD formed by (-5,0) and (10,3).
To find:
Whether the segments AB and CD are parallel, perpendicular, or neither.
Solution:
Slope formula:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
AB formed by (-2,13) and (0,3). So, the slope of AB is:
[tex]m_1=\dfrac{3-13}{0-(-2)}[/tex]
[tex]m_1=\dfrac{-10}{2}[/tex]
[tex]m_1=-5[/tex]
CD formed by (-5,0) and (10,3). So, slope of CD is:
[tex]m_2=\dfrac{3-0}{10-(-5)}[/tex]
[tex]m_2=\dfrac{3}{10+5}[/tex]
[tex]m_2=\dfrac{3}{15}[/tex]
[tex]m_2=\dfrac{1}{5}[/tex]
Since [tex]m_1\neq m_2[/tex], therefore the segments AB and CD are not parallel.
[tex]m_1\times m_2=-5\times \dfrac{1}{5}[/tex]
[tex]m_1\times m_2=-1[/tex]
Since [tex]m_1\times m_2=-1[/tex], therefore the segments AB and CD are perpendicular because product of slopes of two perpendicular lines is always -1.
Hence, the segments AB and CD are perpendicular.
Answer:
AB is perpendicular to CD.
Step-by-step explanation:
AB formed by (-2, 13) and (0, 3)
CD formed by (-5, 0) and (10, 3)
Slope of a line passing through two points is
[tex]m= \frac{y''-y'}{x''- x'}[/tex]
The slope of line AB is
[tex]m= \frac{3- 13}{0+2} = -5[/tex]
The slope of line CD is
[tex]m'= \frac{3 -0 }{10+5} = \frac{1}{5}[/tex]
As the product of m and m' is -1 so the lines AB and CD are perpendicular to each other.
I 그
If minor arc AB measures 97 inches, what is the length
of the radius of circle C? If necessary, round your
answer to the nearest inch.
O 6 inches
O 12 inches
O 18 inches
O 24 inches
Answer:
The correct option is (b).
Step-by-step explanation:
Given that,
The length of the minor arc = 9 inches
We need to find the length of the radius of circle C.
Let the angle is 0.75 radians.
So,
Radius,[tex]r=\dfrac{l}{\theta}[/tex]
Put all the values,
[tex]r=\dfrac{9}{0.75}\\\\r=12\ inches[/tex]
So, the radius is 12 inches.
PLEASE HELP!!!
Solve for x in the following equation!!!
[tex]sin(\frac{3\pi }{2}+x) + sin(\frac{3\pi }{2}+x)=-2[/tex]
Answer:
Step-by-step explanation:
First we'll simplify this using the Sum Identity for sin(x + y) where [tex]x=\frac{3\pi}{2}[/tex] and y = x. Notice we have 2 of those so we simplify first into
[tex]2sin(\frac{3\pi}{2}+x)=-2[/tex] and divide away the 2 on the left to get
[tex]sin(\frac{3\pi}{2}+x)=-1[/tex] and now we'll expand:
[tex]sin\frac{3\pi}{2}cosx+cos\frac{3\pi}{2}sinx=-1[/tex] and go to your unit circle to find the sin and cos of [tex]\frac{3\pi}{2}[/tex] and fill in where they go:
(-1cosx + 0sinx) = -1 which simplifies to
-1cosx = -1 so
cosx = 1 and
x = 0 or 2π, depending upon what your interval is.
Suppose you had been in charge of designing the study. What sample size would be needed to construct a margin of error of 2% with 95% confidence
Answer:
A sample size of 2401 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
What sample size would be needed to construct a margin of error of 2% with 95% confidence?
This is M for which n = 0.02.
Supposing we have no estimate for the true proportion, we use [tex]\pi = 0.5[/tex].
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.02\sqrt{n} = 1.96*0.5[/tex]
[tex]\sqrt{n} = \frac{1.96*0.5}{0.02}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.02})^2[/tex]
[tex]n = 2401[/tex]
A sample size of 2401 is needed.
15
Which is bigger?
15/20 or 74%
I really need some help with this question also.
A) 2/5
B) 3/5
C) 11/25
D) 14/25
A triangle is rotated 90 about the origin. Which rule describes the transformation?
Answer:
1st option
Step-by-step explanation:
Under a rotation about the origin of 90°
a point (x, y ) → (- x, - y )
Answer:
your answer will be the first option
Step-by-step explanation:
edge 2021
Write an equation for a quadratic function in factored form with
zeros at x = -4 and x = 0 that passes through the point (-3,6).
Answer:
[tex]f(x)=-2x(x+4)[/tex]
Step-by-step explanation:
We want to find the equation of a quadratic function in factored form with zeros at x = -4 and x = 0 that passes through the point (-3, 6).
The factored form of a quadratic is given by:
[tex]f(x)=a(x-p)(x-q)[/tex]
Where p and q are the zeros and a is the leading coefficient.
Since we have zeros at x = -4 and x = 0, let p = -4 and q = 0. Substitute:
[tex]f(x)=a(x-(-4))(x-0)[/tex]
Simplify:
[tex]f(x)=ax(x+4)[/tex]
And since we know that the function passes through the point (-3, 6), f(x) = 6 when x = -3. Thus:
[tex](6)=a(-3)(-3+4)[/tex]
Simplify:
[tex]6=a(-3)(1)[/tex]
Thus:
[tex]-3a=6\Rightarrow a=-2[/tex]
So, our quadratic function is:
[tex]f(x)=-2x(x+4)[/tex]
