Answer:
Graphing Systems of Linear Inequalities
To graph a linear inequality in two variables (say, x and y ), first get y alone on one side. ...
If the inequality is strict ( < or > ), graph a dashed line. ...
Finally, pick one point that is not on either line ( (0,0) is usually the easiest) and decide whether these coordinates satisfy the inequality or not.
Y=(2x-5)(4x+1) expand
Answer:
8x² - 18x - 5
Step-by-step explanation:
2x (4x+1) -5(4x+1)
8x²+2x -20x-5
8x²-18x -5
FASTTTT HELPPP will mark brainly
“A cube has edges all of 6cm. A cuboid with the same volume has a side of 4cm and a side of 6cm. As one side is 2cm shorter than one of the sides of the cube, to keep the volume the same the other side must be made 2cm longer. so how many cubic centimeters is it?
Answer:
216 cubic centimeters
Step-by-step explanation:
The details of the word problem are as follows;
The length of the edges of a cube, s = 6 cm
The volume of the cuboid = The volume of the cube
The length of a side of the cuboid = 4 cm
The length of the other side of the cuboid - 6 cm
The volume of the cube, V = 6 cm × 6 cm × 6 cm = 216 cm³
The volume of the cuboid, [tex]V_c[/tex] = 4 cm × 6 cm × T
Where 'T' represent the length of the third side
Therefore, 'T' = 216 cm³/(4 cm × 6 cm) = 9 cm
The length of the third side, T = 9 cm
The volume of the cuboid = The volume of the cube = 216 cm³
this is a trignometry question
hope u will do for me
i will mark brainliest..:)
Step-by-step explanation:
[tex]\cos^{4} x - \sin^{4} x[/tex]
[tex]= ( \cos^{2} x + \sin^{2} x)( \cos^{2} x - \sin^{2} x)[/tex]
[tex] = (1 - \sin^{2} x + \sin^{2} x)( 1 - \sin^{2} x - \sin^{2} x)[/tex]
[tex] = 1 - 2\sin^{2} x[/tex]
Note: I replaced all cos^2x terms using the identity
[tex]\cos^{2} x = 1 - \sin^{2} x[/tex]
Phineas is 5 years older than Ferb.
Four years ago, Phineas was twice
as old as Ferb. How old is Phineas
now?
Please answer ASAP!
Mr.Brown has a gate that measures 65 ft by 72 ft. He needs to reinforce the gate by placing a strip of wood on the diagonal of the fence. How long will the strip of wood need to be?
Answer: 97ft
Step-by-step explanation:
Pythagore
Strip^2 = 65^2 + 72^2 = 9409
Strip = squareroot 9409 = 97 ft
Tom and Linda stand at point A. Linda begins to walk in a straight line away from Tom at a constant rate of 2 miles per hour. One hour later, Tom begins to jog in a straight line in the exact opposite direction at a constant rate of 6 miles per hour. If both Tom and Linda travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes Tom to cover the exact distance that Linda has covered and the amount of time it takes Tom to cover twice the distance that Linda has covered?
Answer:
Then 1/2 or 30 minutes is the required time for Tom to cover the exact distance that Linda one hour before.
Two hours after Tom began Tom would cover 12 miles and three hours after Linda started Linda would be 6 miles far away from the starting point
Step-by-step explanation:
Linda walks in a straight line at 2 miles/hour
then after t ( hours time) she is 2 (m/h) * t = d (L)
for Tom running at 6 m/h starting one hour later to cover the same distance d(L)
d(L) = 6 m/h * ( t - 1 ) then:
2 (m/h) * t = 6 m/h * ( t - 1 )
2*t = 6*t - 6
4*t = 6
t = 6/4
t = 1,5 h
Checking that result.
we see that in 1,5 hours Linda has covered 2* 1,5 = 3 miles
and in 0.5 hours Tom covered the same distance 0,5 * 6 = 3 miles
NOTE: Remember that tom started one hour later.
Then 1/2 or 30 minutes is the required time for Tom to cover the exact distance that Linda one hour before.
b) In this case
d(T) = 6* ( t - 1 ) must be equal to twice of the Linda distance
d(L) = 2 * 2 * t
6*t - 6 = 4*t
2*t = 6
t = 3
To check it
in 3 hours Linda had covered 3 * 2 = 6 miles
in 2 hours Tom had covered 2 * 6 = 12 miles
Guys help my little sister with these questions:)))
Answer:
Card A: the eiffel tower is 20,313 taller than the pyramid of khafria
Card B: Josh site had 615 more than diego
Card C: 15,405 more to reach there goal
Step-by-step explanation:
Tell your sister i said your welcome
Answer:
Card A:
The Eiffel tower is 615 feet taller than the pyramid of Khafra.
1,063 - 448 = 615
Card B:
Josh site has 20,131 more visitors than Diego.
805,289 - 784,976 = 20,313
Card C:
The school needs to raise $15,405 during the spring fundraiser to reach it's goal.
$13.809 + $20.786 = $34,595
$50,000 - $34,595 = $15,405
Step-by-step explanation:
Have a nice day! :-)
A.)23
B.)30
C.)53
D.)60
Answer:
m∠ABC = 150°
Step-by-step explanation:
180° - 90° = 90°
[tex](2x+14)+(x+7)=90[/tex]
[tex](2(23)+14)+(23+7)=90[/tex]
[tex]((46)+14)+(30)=90[/tex]
[tex](60)+(30)=90[/tex]
[tex]x=23[/tex]
90° + 60° = 150°
How do you find a constant rate of change?
Answer:
Rate of change is most commonly defined as "the change in y over the change in x", or "how much does y change when x is changed by 1 unit".
Step-by-step explanation:
[Will award brainliest if correct!] It takes a painter and his friend 8 hours to paint a room. if the painter was working alone, it would take him 12 hours less than if his friend was working alone. How long does it take the painter to paint the room by himself?
Answer:
it would take him 10 hours
Can someone please take a screenshot of this problem and send it. I could really use the help.
Answer:
5/12
Step-by-step explanation:
2/3 - 1/4
Get a common denominator of 12
2/3 *4/4 = 8/12
1/4 *3/3 = 3/12
8/12 - 3/12
5/12
Answer:
5 twelfth
Step-by-step explanation:
jajajajsjdjhueieiejdndnndnejejsnsndbbbenejeje
Determine the intercepts of the line. − 5 x + 9 y = − 18
Answer:
x int (18/5,0)
y int (0.-2)
Step-by-step explanation:
by substitution
Answer:
x-intercept: (3.6, 0)
y-intercept: (0, -2)
Step-by-step explanation:
The x and y intercepts of a line can be found by substituting y= 0 and x= 0 into the equation of the line respectively. The y-intercept is the point at which the line cuts through the y-axis, while the x-intercept is the point at which the line cuts through the x-axis.
-5x +9y= -18
When x= 0,
-5(0) +9y= -18
9y= -18
Dividing both sides by 9:
y= -18 ÷9
y= -2
Thus, the y-intercept occurs at (0, -2).
When y= 0,
-5x +9(0)= -18
-5x= -18
Divide both sides by -5:
x= -18 ÷(-5)
x= 3.6
Thus, the x-intercept occurs at (3.6, 0).
To learn more about intercepts, check out: https://brainly.com/question/14180189
What is the surface area of a cylinder with a radius of 5 and a height of 8? round to the nearest 10th
Answer:
408.4
Step-by-step explanation:
make the letter in the bracket the subject of the A=
[tex]v = u + at \: (a)[/tex]
Answer:
a=acceleration due to gravity=9.8m/s²
v=final velocity
u=initial velocity
t=time taken
9. You have saved S2500 to spend on vacation. You spend the money at an average rate of $125 per day.
Write a linear function to model this situation
A teacher is making a history test composed of the same number of multiple-choice questions as short-answer questions. She estimates it will take students an average of 2 minutes to complete each multiple-choice question and an average of 3.5 minutes to complete each short-answer question.
Write an inequality to determine how many questions, n, the teacher can include if the test must take students less than 45 minutes to complete.
Answer:
8 questions each for short answer questions and 8 questions of Multiple Choice Questions type.
A total of 16 questions.
Step-by-step explanation:
The number of multiple-choice questions and the number of short answer type questions are the same.
Let it be equal to [tex]x[/tex]
→Average time it takes to attempt multiple choice question = 2 minutes
→Total time it takes to attempt multiple choice question = [tex]2 * x[/tex] minutes
→Average time it takes to attempt short answer type question = 3.5 minutes
→Total Time it takes to attempt short answer type question = [tex]3.5 * x[/tex] minutes
Total time for the test should be less than 45 minutes.
Now finally, we can make an equation out of the information listed above:
[tex]2x +3.5x <45[/tex]
[tex]\\ 5.5x <45[/tex]
[tex]x < 8.18[/tex]
Hence the value of [tex]x = 8[/tex]
wuch equation represents O AB OB. re
Answer:
The answer that is C
Step-by-step explanation:
The equation would be y=1/2x + 8 because the line touches the y-intercept at +8. The others would be incorrect as the line does not increase by a slop of 8/1 and/or is the y-intercept at -8.
what is the value of 3/2 + 4/2?
Answer:
7/2 or 3 1/2
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
7/2
Step-by-step explanation:
3/2 + 4/2 = 7/2
Hope this helps!!
Select all the numbers that are irrational
A) [tex]-\sqrt{5}[/tex]
D) [tex]\pi[/tex]
===========================================
Explanation:
Choices B and C are rational because we can simplify them to form a fraction of integers.
[tex]-\sqrt{49} = -7 = -\frac{7}{1}[/tex]
[tex]\sqrt{0} = 0 = \frac{0}{1}[/tex]
Any rational number is of the form P/Q where P,Q are integers and Q is nonzero.
So we can rule out choices B and C.
---------------
Choice A on the other hand cannot be written as a fraction of integers. The 5 isn't a perfect square, which makes [tex]-\sqrt{5}[/tex] irrational.
The same can be said about [tex]\pi[/tex] which is roughly equal to 3.14; the decimal digits go on forever without a known pattern.
Choice A and choice D are the two answers.
----------------
If we know the pattern of the decimal digits, then we can turn the decimal number into a fraction of integers
The number -0.777, where the 7s go on forever, converts to the fraction -7/9
That means we rule out choice E.
Determine the vertex and axis of symmetry for f (x) = 2(x+4) to the power of 2 + 1
Answer:
The vertex of the graph is at (-4,1) and thus leading the axis of symmetry be at x=-4.
Step-by-step explanation:
PLS HELP QUICKKK its almost due
I think its the second one. I hope it is
There are 10 girls and 6 bios in class the teacher randomly draws one student’s name and then draws another
Answer:
Step-by-step explanation:
if there are 10 girls and 6 boys total we have 16 students. Divide 10 by 16 which give 62% a girl will be picked and for boys divide 6 by 16 which is 38% a boy will be picked.
What are the coordinates of point E ?
(2, 0)
(0, 2)
(2, 2)
(0, 0)
Check image to understand
Answer:
(0,2)
Answer B..............
Answer:
(0,2)
Step-by-step explanation:
there is nothing for the x-axis only y-axis which is on the right so it moves up by 2
: Show that the solution of the differential equation: = − − − − − is of the form: + + ( − ) = + , When = and =
Answer:
[tex]y = \tan(x + \frac{x^2}{2})[/tex]
Step-by-step explanation:
Poorly formatted question; The complete question requires that we prove that [tex]y=\tan(x+\frac{x\²}{2})[/tex]
When
[tex]\frac{dy}{dx} =1+xy\²+x+y\²[/tex] and [tex]y(0)=0[/tex]
We have:
[tex]\frac{dy}{dx} =1+xy\²+x+y\²[/tex]
Rewrite as:
[tex]\frac{dy}{dx} =1+x+xy\²+y\²[/tex]
Factorize
[tex]\frac{dy}{dx} = (1+x)+y\²(x+1)[/tex]
Rewrite as:
[tex]\frac{dy}{dx} = (1+x)+y\²(1+x)[/tex]
Factor out 1 + x
[tex]\frac{dy}{dx} = (1+y\²)(1+x)[/tex]
Multiply both sides by [tex]\frac{dx}{1 + y^2}[/tex]
[tex]\frac{dy}{1+y\²} = (1+x)dx[/tex]
Integrate both sides
[tex]\int \frac{dy}{1+y\²} = \int (1+x)dx[/tex]
Rewrite as:
[tex]\int \frac{1}{1+y\²} dy = \int (1+x)dx[/tex]
Integrate the left-hand side
[tex]\int \frac{1}{1+y\²} dy = \tan^{-1}y[/tex]
Integrate the right-hand side
[tex]\tan^{-1}y = x + \frac{x^2}{2} + c[/tex]
[tex]y(0)=0[/tex] implies that: [tex](x,y) = (0,0)[/tex]
So:
[tex]\tan^{-1}y = x + \frac{x^2}{2} + c[/tex] becomes
[tex]\tan^{-1}(0) = 0 + \frac{0^2}{2} + c[/tex]
This gives:
[tex]0 = 0 +0 + c[/tex]
[tex]0 =c[/tex]
[tex]c = 0[/tex]
The equation [tex]\tan^{-1}y = x + \frac{x^2}{2} + c[/tex] becomes
[tex]\tan^{-1}y = x + \frac{x^2}{2} + 0[/tex]
[tex]\tan^{-1}y = x + \frac{x^2}{2}[/tex]
Take tan of both sides
[tex]y = \tan(x + \frac{x^2}{2})[/tex] --- Proved
interpretation of the vertical line
Find the length of the arc. Use 3.14 for T.
PLEASE HURRY
Answer:
Solution given;
angle =270°
radius [r]=8cm
we have
length of arc =270°/360°×2×π*r
=270°/360°×2×3.14*8=37.68cm
length of the arc is 37.68cm.
Help a bab out please?
Answer: 5
Step-by-step explanation:
How many quarts are in 583.7 liters? Round to the nearest tenth.
Answer:
616.8
Step-by-step explanation:
look it up
Answer:
616.8 quarts
Step-by-step explanation:
Solve the equation 28 + 24p = 36 for p.
[tex]\huge\text{Hey there!}[/tex]
[tex]\textsf{28 + 24p = 36}[/tex]
[tex]\textsf{24p + 28 = 36}[/tex]
[tex]\large\textsf{SUBTRACT 28 to BOTH SIDES}[/tex]
[tex]\textsf{24p + 28 - 28 = 36 - 28}[/tex]
[tex]\large\textsf{CANCEL out: 28 - 28 because that gives you 0}[/tex]
[tex]\large\textsf{KEEP: 36 - 28 because that helps solve for the p-value}[/tex]
[tex]\textsf{36 - 28 = \bf 8}[/tex]
[tex]\large\textsf{NEW EQUATION: 24p = 8}[/tex]
[tex]\large\textsf{DIVIDE 24 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{24p}{24}=\dfrac{8}{24}}[/tex]
[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{24}{24}}\large\textsf{ because that gives you 1}[/tex]
[tex]\large\textsf{KEEP: }\mathsf{\dfrac{8}{24}}\large\textsf{ because that helps you solve for the p-value any}\\\\\large\textsf{gives you the value of it}[/tex]
[tex]\mathsf{p= \dfrac{8}{24}}\\\\\\\mathsf{p = \dfrac{8\div8}{24\div8}}\\\\\\\mathsf{8\div8=\bf 1}\\\\\mathsf{24\div8=\bf 3}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf p = \dfrac{1}{3}}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Answer:
1/3
Step-by-step explanation:
Got a 100 on T4L
Your friend has two children. At least one of the children it's a boy. Considering the order that the children were born, what is the probability that the other child is a girl?
Answer:
the order actually doesn't affect the likelyhood of the gender, the answer is 50%
Step-by-step explanation: