Help me please
Simplify (5x3 + 7x - 8) + (2x3 – 5x2 – X + 3). Choose the standard form of the answer.
A. 7x3 + 6x - 5x2 - 5
B. 7x3 - 5x2 + 6x - 5
C. 7x3 – 5x2 + 6x + 5
D 7x3 – 5x2 + 8x - 5
Answer:
==7x3−5x2+6x−5
Step-by-step explanation:
=5x3+7x+(-8)+2x3+−5x2+−x+3
Combine Like Terms:
=5x3+7x+−8+2x3+−5x2+−x+3
=(5x3+2x3)+(−5x2)+(7x+−x)+(−8+3)
=7x3−5x2+6x−5
If you complete the square in the quadratic equation , you get the quadratic formula for the solutions x _______.
Answer:
[tex]D. \ \ x=\frac{-b\pm \sqrt{b^{2}-4ac} }{2a}[/tex]
Step-by-step explanation:
ax² + bx + c = 0
[tex]a\left( x^{2}+\frac{b}{a} x+\frac{c}{a} \right) =0[/tex]
[tex]a\left( \left( x+\frac{b}{2a} \right)^{2} -\frac{b^{2}}{4a^2}+\frac{c}{a} \right) =0[/tex]
[tex]a\left( \left( x+\frac{b}{2a} \right)^{2} -\frac{b^{2}-4ac}{4a^2}\right) =0[/tex]
[tex]a\left( x+\frac{b}{2a} \right)^{2} -\frac{b^{2}-4ac}{4a}=0[/tex]
[tex]a\left( x+\frac{b}{2a} \right)^{2} =\frac{b^{2}-4ac}{4a}[/tex]
[tex]\left( x+\frac{b}{2a} \right)^{2} =\frac{b^{2}-4ac}{4a^2}[/tex]
[tex]x+\frac{b}{2a} =\frac{\pm \sqrt{b^{2}-4ac} }{2a}[/tex]
[tex]x=\frac{-b\pm \sqrt{b^{2}-4ac} }{2a}[/tex]
Jacob has 2 kilograms of flour. If his brother has one gram more than Jacob, how many grams of flour does Jacob's brother have?
What is the perimeter of this rectangle?
Answer:
6[tex]\sqrt{17}[/tex] or 24.738634
Step-by-step explanation:
We can use the Pythagorean theorem to find the length of the sides. We will only need to find the length of AB and AD, as AB = DC and AD = BC.
The picture shows the Pythagorean theorem being used to find AB and AD.
AB = [tex]\sqrt{17}[/tex]
AD = [tex]\sqrt{68}[/tex]
Now we can find the perimeter
2([tex]\sqrt{17}[/tex]) + 2([tex]\sqrt{68}[/tex]) = 6[tex]\sqrt{17}[/tex]
NEED HELP ASAP
The system has
One solution
Two solutions
No solution
An infinite number of solutions
Answer:
The answer is one solution because the graphs are together in one specific point.
Answer:
Two solutions
Step-by-step explanation:
line passing through points (3,5) with a slope of 1
Write equation of the line in point-slope, slope- intercept, and standard form.
The linear equation with a slope of 1 that passes through (3, 5) is:
y = x + 2.
How to get the linear equation?
The general linear equation is given by:
y = a*x + b
Where b is the y-intercept and a is the slope.
Here we know that the slope is 1, so we have:
y = x + b
And we also know that the line passes through (3, 5), then we must have that:
5 = 3 + b
We can solve that for b:
b = 5 - 3 = 2
So the linear equation is:
y = x + 2.
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Step one 3(x+4)+2=2+5(x-4)
Answer: 16
Here are the steps to solve for x:
3(x+4) + 2 = 2+5(x-4)
1. Distribute to get rid of the parentheses
3x+12+2 = 2+5x-20
2. Combine like terms
3x+14 = 5x -18
3. Get like terms on the same side
3x+14 = 5x -18
-14 -14
3x = 5x -32
-5 -5
-2x = -32
4. Divide by -2 to isolate x
-2/2 x = -32/2
x=16
The points A(4, 3) and B(4, –5) are plotted on the coordinate plane. Rectangle ABCD has a perimeter of 30 units. If points C and D were plotted on the grid shown, what would their coordinates be if point C is below point D? Alt_text C: ( , ) D: ( , )
The possible coordinates of C and D are: C = (11,3) and D = (11,-5) or C = (-3,3) and D = (-3,-5)
How to determine the coordinates of C and D?The given parameters are:
A = (4,3)
B = (4,-5)
Perimeter, P = 30 units
Since points A and B are on the same x-coordinate, then the distance between them is:
AB = 3 - - 5
AB = 8
The perimeter of the rectangle is calculated using:
P = 2 *(AB + CD)
This gives
2 * (8 + CD) = 30
Divide by 2
8 + CD = 15
Subtract 8 from both sides
CD = 7
This means that points C and D are 7 units from points A and B, respectively.
If A = (4,3) and B = (4,-5), then the possible coordinates of C and D are:
C = (11,3) and D = (11,-5) or C = (-3,3) and D = (-3,-5)
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A box is 9 inches by 11 inches. The donuts have a radius of 1.25 inches. How many donuts can fit in the box?
Answer:
14 donuts
Step-by-step explanation:
Packing circles in a rectangular space is always an interesting problem. Sometimes, it works well to put them on a grid. Other times, more circles can be packed in if they are somewhat off-grid. The details depend on the specific dimensions.
The attached shows a way to fit 14 donuts in the box.
_____
Additional comment
Packing them on a square grid allows only 12 donuts to be put in the box.
Part A - determine the slope of Line MN.
Part B - determine the length of line MN.
There are 250 tracksuits in a box. The sport sold 1/5 of the tracksuits on monday, 1/10 on tuesday, 2/5 on wednesday and the rest on thursday. how many tracksuits were sold on thursday?
Answer:
145
Step-by-step explanation:
you add the trucksiuts sold on monday Tuesday Wednesday and subtrct the from the total tracksuits .
There are 50 roses in a tray. There is at least 1 red rose among any 24 randomly selected roses, and there is 1 white rose among any 28
randomly selected roses. How many white roses are there? QUICK PLS
So probability of red rose is 1/24
Probability of white rose is 1/28
TOTAL roses= 50
P(A)=(1/24)P(B)=1/28=0.035P(AUB)=1/50P(A$\cap$ B)=1/24+1/28-1/50
175+150-84/4200241/4200=0.057So Probability of white is
0.057-0.0350.022in need of help! please help!
Answer:
3 1/4 if im not mistaken ive done the math so im pretty sure im right :)
Step-by-step explanation:
heres what i did:
i added everything that would make 2 3/4 then added the remaining together to get 3 1/4 which the question wanted you to see the reaming bit so 3 1/4 was the remaining sorry if that was confusing
Determine the measure of LUXW in the diagram.
Y
66°
U
W
X
The measure of LUXW is
57°
Z
Answer:
33°
Step-by-step explanation:
Where a transversal crosses parallel lines at right angles, all of the angles at their points of intersection are right angles.
__
Angles at U are right angles, congruent to ∠UXZ. So, acute angle UXW in right triangle UXW is the complement of acute angle UWX:
∠UXW = 90° -57° = 33°
help i need a answer asap
The number of times Jennifer rolls a number less than 3 in a number cube when she rolls it 60 times is 40.
How to find the probability of an event?The probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
The probability of rolling a number less than 3 on a number cube is 2/6.
[tex]P( > 3)=\dfrac{2}{6}[/tex]
Here, the Jennifer rolls a number cube 60 times. Thus, the number of times she rolled the number less than 3 in this cube is,
[tex]n=\dfrac{2}{3}\times60\\n=40[/tex]
Thus, the number of times Jennifer rolls a number less than 3 in a number cube when she rolls it 60 times is 40.
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Rewrite this question to make it a statistical question:
How old am I?
Answer:
“How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question because one anticipates variability in students' ages.
harriet took 48 minutes to ride her bike the distance from her house to the town library. if she rode at a constant rate, what fraction of the total distance did she ride in the first 12 min
Answer:
1/4
Step-by-step explanation:
If total ride is 48 minutes, then she should have covered 1/4 the distance in 12 minutes cuz in 24 minutes she would cover 1/2 and in 36 minutes should would cover 3/4 and in 48 minute should cover the ride 1.
help with this??? i beg of you☹️☹️
Answer:
The answer is 3 cm.
Step-by-step explanation:
To find the width of the cereal box, we must first take the volume and divide it by the length and then divide that by the height.
For this equation, we would do the following:
3456 ÷ 36 = 96 cm²
Now that we have divided volume by length, let's divide by height next:
96 ÷ 32 = 3 cm
Now we know the height of the box. To check if this is correct, lets multiply the length, height, and width and see if we get the volume that we started with.
3 × 32 × 36 = 3456 cm³
Since we got the original volume that we started with, we know that the width is 3 cm which is your answer.
in a semiconductor company's quality control test, a machine found that 22 out of a sample of 600 computer chips were defective how many of the 36,000 computer chips the company makes each would you expect to be defective?
Answer:
1320 should be expected
Step-by-step explanation:
22 = 600
x10
220 = 6,000
x6
1320=36,000
10)
Ross has (8x-5) tickets for Chuck E Cheese. He is going to play today and wants to buy
a prize that is (15x+1) tickets. How many tickets must be win to have enough tickets to buy the
prize?
Answer:
(7x + 6) tickets
Step-by-step explanation:
Tickets Ross has : 8x - 5
Tickets Ross needs : 15x + 1
To find out the remaining amount, subtract the tickets Ross has from the number of tickets he needs.
15x + 1 - (8x - 5)15x + 1 - 8x + 5(7x + 6) ticketsMust ticket win
Prize-Previous amount15x+1-(8x-5)15x+1-8x+515x-8x+1+57x+6 ticketsIf Jessica has money into savings accounts worry is 5% in the other is 10% if she has $950 more in the 10% account and the total interest is 281 how much invested is in each savings account
Answer:
5% account = $1,240
10% account = $2,190
Step-by-step explanation:
Let's assume the amount of savings in the 5% account is x.
Thus the amount of savings in the 10% account is (x + $950).
We can write the following equation from the interest amount:
[5% x ] + [10% (x + $950)] = $281
5%x + 10%x + $95 = S281
15%x = $186
x = $1,240
There is $1,240 in the 5% account
Therefore, on the 10% account there is $1,240 + $950 = $2,190
The variables x and y vary inversely. Use x = 4 and y = 8 to write an equation relating x and y. Then find y when x
= 2.
Answer:
y=[tex] \frac{32}{x} [/tex]16Step-by-step explanation:
y=
[tex] \frac{k}{x} [/tex]
when x=4 and y = 8
k =xy
k=4×8=32
:- y=
[tex] \frac{32}{x} [/tex]
when x = 2
y=
[tex] \frac{32}{2} [/tex]
:- y = 16
Which figure could Jose have constructed?
Answer:
what is the figure so i can awnser iit
Step-by-step explanation:
?
o is the centre of the circle find the size of each angle
Answer:
In the figure,
AC is the diameter of circle with centre O
∠DAC=37
o
AD || BC
∠ACB=∠DAC (Alternate angles)
Hence,
x=37
o
In Δ ABC,
∠B=90
o
(angle in semicircle)
By angle sum property of triangle, we get,
∠x+∠y+∠B=180
o
37
o
+∠y+90
o
=180
o
∠y=180
o
−127
o
We get,
∠y=53
o
Step-by-step explanation:
Linda asked the students of her class their hockey scores and recorded the scores in the table shown below:
Hockey Scores
Score Number of Students
0 2
1 1
2 3
3 6
4 2
5 3
6 2
Based on the table, what is the mean hockey score?
2.7
2.9
3.2
5.2
Answer:
C) 3.2
Step-by-step explanation:
[tex]\text{Mean}=\frac{2(0)+1(1)+3(2)+6(3)+2(4)+3(5)+2(6)}{19}\approx3.2[/tex]
Answer:
2.7
Step-by-step explanation:
the hockey score is 2.7
Rewrite in simplest radical form sqrt x * sqrt[4] x each step of your process
I assume the given expression is
[tex]\sqrt x \sqrt[4]{x}[/tex]
We can write each root as a rational power of x, then add the exponents:
[tex]\sqrt x \sqrt[4]{x} = x^{\frac12} x^{\frac14} = x^{\frac12 + \frac14} = x^{\frac34}[/tex]
Then putting it back into radical form, we have
[tex]\sqrt x \sqrt[4]{x} = \sqrt[4]{x^3}[/tex]
suppose you throw a ball straight up from the ground with a velocity of 224 feet per second. as the ball moves up, gravity slows it. eventually, the ball begins to fall back to the ground. the height h of thr ball after t seconds in the air is given by the equation h=-16t^2 + 224t. use the given information to answer.
a. find the height of the ball after four seconds. (type a whole number)
b. how long will it take the ball to reach a height of 768 ft?
c. how long after you throw the ball will it return to the ground? (type w whole number)
a. The height of the ball after four seconds is 640 ft
b. The time the ball reachs a height of 768 ft is 6 s or 8 s.
c. The time the ball reachs the ground after it is thrown is 14 seconds.
Since the height of the ball is a parabola, we need to know the equation parabola is
What is a parabola?A parabola is an equation of the form x(t) = at² + bt + c
a. Height of the ball after four secondsThe height of the ball after four seconds is 640 ft
Since the height of the ball is represented by the equation h(t) = -16t² + 224t. The height of the ball after four seconds is when t = 4.
So, h(t) = -16t² + 224t.
h(4) = -16(4)² + 224(4)
h(4) = -16(16) + 224(4)
h(4) = -256 + 896
h(4) = 640 ft
The height of the ball after four seconds is 640 ft
b. How long will it take the ball to reach a height of 768 ft?The time it takes the ball to reach a height of 768 ft is 6 s or 8 s.
To find this time, we substituie h = 768 into the equation for the height of the ball.
So, h(t) = -16t² + 224t
768 = -16t² + 224t.
16t² - 224t + 768 = 0
t² - 14t + 48 = 0
Using the quadratic formula, we find t
[tex]t = \frac{-(-14) +/- \sqrt{(-14)^{2} - 4 X 1 X 48} }{2 X 1} \\t = \frac{14 +/- \sqrt{196 - 192} }{2}\\t = \frac{14 +/- \sqrt{4} }{2}\\t = \frac{14 +/- 2 }{2}\\t = \frac{14 + 2 }{2} or t = \frac{14 - 2 }{2}\\t = \frac{16}{2} or t = \frac{12}{2}\\t = 8 or 6[/tex]
So, the time it takes the ball to reach a height of 768 ft is 6 s or 8 s.
c. How long after you throw the ball will it return to the ground?The time it takes the ball to reach the ground after it is thrown is 14 seconds.
To find the time it takes the ball to reach the ground, the height, h = 0.
So, h(t) = 0
-16t² + 224t = 0
-16t(t - 14) = 0
t(t - 14) = 0
t = 0 or t - 14 = 0
t = 0 or t = 14 s
So, the time it takes the ball to reach the ground after it is thrown is 14 seconds.
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What am I supposed to do here?
Answer:
here is your answer.
Step-by-step explanation:
total frequency is 24
simplify (-1 1/2) ÷ 3/4 x -2/3
Answer:
Step-by-step explanation:
1[tex]\frac{1}{2}[/tex]=1×[tex]\frac{2}{2}[/tex], +[tex]\frac{1}{2}[/tex]
(-[tex]\frac{3}{2}[/tex])÷[tex]\frac{3}{4}[/tex]×(-[tex]\frac{2}{3}[/tex])
[tex]\frac{3}{2}[/tex]×[tex]\frac{4}{3}[/tex]×[tex]\frac{2}{3}[/tex]
[tex]\frac{1}{2}[/tex]×4×[tex]\frac{1}{3}[/tex]
4×[tex]\frac{1}{3}[/tex]=[tex]\frac{1}{3}[/tex]+[tex]\frac{1}{3}[/tex]+[tex]\frac{1}{3}[/tex]+[tex]\frac{1}{3}[/tex]
=[tex]\frac{4}{3}[/tex]
find the volume of the shape
Answer:
hmmm the mass are the numbers of the up and volume of the bottom
Step-by-step explanation: