Answer:
7x^2+5x-12
Step-by-step explanation:
(6x^2+5x-3)+(x^2-9)
Combine like terms
(6x^2+ x^2+5x-3-9)
7x^2+5x-12
please answer asap (don't need explanation)
Answer:
The slope is 60.
Points for the graph are: (0,0), (1, 60), (2, 180), (3, 240), (4, 320), (5, 400), (6, 480), (7, 560)
Step-by-step explanation:
I don't know what the question is but I will tell you your graph is horribly wrong.
The points for the graph is:
(0,0), (1, 60), (2, 180), (3, 240), (4, 320), (5, 400), (6, 480), (7, 560)
A jar contains 7 orange, 3 yellow, and 5 blue marbles. If you pick one without looking, what is the probability that the marble you pick will be neither orange nor yellow?
show work pls tnx!
Answer:
The probability would be 5/15 or 1/3
Total = 7+3+5
= 15
yellow = 3
orange = 7
blue marbles = 5
Answer:
⇒Pgreen or yellow=5\11
Step-by-step explanation:
Probability here is the chance of selection out of a total. So, we need to first find the total number of marbles.
total
=
5
+
3
+
2
+
1
=
11
So there are
11
marbles total. The probability that we pick one of the
3
green marbles out of the
11
is simply that ratio:
P
green
=
3
11
Same idea for yellow:
P
yellow
=
2
11
The probability of picking either of these colors is simply the sum of their probabilities.
P
green or yellow
=
P
green
+
P
yellow
=
3
11
+
2
11
=
5
11
help me with this pls
Step-by-step explanation:
b can be used to check her score
What’s the square root of 500
Answer:
22.360679775
Step-by-step explanation:
i used a calulator on the web
Answer:
±10 sqrt(5)
Step-by-step explanation:
sqrt(500)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt(100*5)
sqrt(100) sqrt(5)
±10 * sqrt(5)
Which function has a constant additive rate of change of -1/4?
4
1y
4
y
y
2
2
20
-1
-12
7
21
-1.5
-11
11
2
4
- 2
-2
-4-2
-2
22
-2
-10
14
23
-2.5
-9
17
Intro
Done
Answer:
4,20,11,2,1y
Step-by-step explanation:
The first graph has a constant additive rate of change of -1/4.
First of all, when we talk about a rate of change, that means a linear relation between variables, which is proper of a linear function represented by the first function showed in the image.
Also, if you observe the linear graph, you would see that the line represents a negative rate of change, because the line is going down (the function is decreasing). In other words, as x-variable increases, y-variable decreases.
Therefore, the first graph shows a ratio of change of -1/4.
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Work out the length x.
+
7.5 cm
16 cm
Answer:
x ≈ 17.67 cm
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² = 16² + 7.5² = 256 + 56.25 = 312.25 ( take the square root of both sides )
x = [tex]\sqrt{312.25}[/tex] ≈ 17.67 ( to 2 dec. places )
The measure of hypotenuse length x would be 17.67 cm
What is Pythagoras Theorem?
If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|² = |AB|² + |BC|²
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
Using the Pythagoras' identity in the right angled triangle.
hypotenuse² = perpendicular² + base²
x² = 16² + 7.5²
x²= 256 + 56.25
x²= 312.25
Now take the square root of both sides
x = √312.25
x = ≈ 17.67 ( to 2 dec. places )
Therefore, the measure of hypotenuse length x would be 17.67 cm
Learn more about Pythagoras theorem here:
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what is the slope of the equation y= 5/4c- 7/4
Answer:
5/4 is the slope
Step-by-step explanation:
y= 5/4c- 7/4
This is in the slope intercept form
y = mx+b where m is the slope and b is the y intercept
5/4 is the slope and -7/4 is the y intercept
Answer:
5/4
Step-by-step explanation:
This equation is in slope intercept form (y=mx=b) so when interpreting the information we see that the slope is 5/4.
y = y
m = slope
x = x or in this case they use c
b = y intercept
This equation represents a line that intercepts at -7/4 and has a slope of 5/4. This can be checked by plugging in any point on the line for x and y.
Hope this helps!
Find the volume of a right circular cone that has a height of 13.8 ft and a base with a radius of 7.8 ft. Round your answer to the nearest tenth of a cubic foot.
Answer:
879.2ft^3
Step-by-step explanation:
A linear sequence starts a+3b a+7b a+11b the 2nd term has value 19 the 5th term has value 67 work out the values of a and b
Answer:
[tex]a = -9[/tex]
[tex]b = 4[/tex]
Step-by-step explanation:
Given
Sequence: a+3b, a+7b, a+11b
2nd term = 19
5th term = 67
Required
Find a and b
First, the 5th term needs to be calculated;
Using formula for Arithmetic Progression (AP), the formula goes thus
[tex]T_n = T_1 + (n - 1)d[/tex]
Where n = 5
T_1 = a + 3b ------------ FIrst term
[tex]d = T_2 - T_1 or T_3 - T_2[/tex] --- Difference between two successive terms
[tex]d = a + 7b - (a + 3b)[/tex]
[tex]d = a + 7b -a - 3b[/tex]
[tex]d = a - a + 7b - 3b[/tex]
[tex]d = 4b[/tex]
So, [tex]T_n = T_1 + (n - 1)d[/tex] becomes
[tex]T_5 = a + 3b + (5 - 1)4b[/tex]
[tex]T_5 = a + 3b + (4)4b[/tex]
[tex]T_5 = a + 3b + 16b[/tex]
[tex]T_5 = a + 19b[/tex]
Now that we have values for 2nd and 5th term;
From the second, T2 = 19 and T5 = 67
This gives
[tex]a + 7b = 19[/tex] --- Equation 1
[tex]a + 19b = 67[/tex] ---- Equation 2
Make a the subject of formula in (1)
[tex]a = 19 - 7b[/tex]
Substitute these values in equation 1
[tex]a + 19b = 67[/tex] becomes
[tex]19 - 7b + 19b = 67[/tex]
[tex]19 + 12b = 67[/tex]
Collect like terms
[tex]12b= 67 - 19[/tex]
[tex]12b = 48[/tex]
Divide both sides by 12
[tex]\frac{12b}{12} = \frac{48}{12}[/tex]
[tex]b = 4[/tex]
Recall that b = 4
Substitute a = 19 - 7b and nothing will hire
[tex]a = 19 - 7(4)[/tex]
[tex]a = 19 - 28[/tex]
[tex]a = -9[/tex]
Hence, the values of a and b are -9 and 4 respectively.
Can someone help me solved this problem plz! I need help help ASAP! Plz help me with this problem! If you help me I will mark you as brainiest!
Step-by-step explanation:
a 6xy is the answer to question a
Answer:
(1) 6 (2) 2
Step-by-step explanation:
[tex]1)y=\frac{36}{6}\\y=62) \\[/tex]
[tex]y=\frac{36}{18}\\y=2[/tex]
What is the square root of 24 to the 16th power
Answer:
24 ^ 8
Step-by-step explanation:
sqrt(24) ^ 16th power
Rewriting the square root as ^ 1/2
24 ^ 1/2 ^ 16
We know that a^b^c = a^ (b*c)
24 ^ (1/2*16)
24 ^ 8
Answer:
2²⁴ *3⁸ or 24⁸
Step-by-step explanation:
the square root of 24 to the 16th power can be written as 24
([tex]\sqrt{24}[/tex] )¹⁶
√ means power of 1/2 so ([tex]\sqrt{24}[/tex] )¹⁶ = (24)^(¹⁶/₂) = 24⁸ or
24 = 4*6 and [tex]\sqrt{24} = 2\sqrt{6}[/tex]
then (2[tex]\sqrt{6}[/tex] )¹⁶= 2¹⁶ *6⁸ = 2¹⁶ * 2⁸ *3⁸ = 2²⁴ *3⁸
Shiela either walks or cycles to school the probability that she walks is 0.65 if she walks the probability that she is late is 0.4 if she cycles the probability that she is late is 0.1 What is the probability that she will not be late for school
Answer:
0.705
Step-by-step explanation:
Data:
walks=0.65 and is late=0.4;is not late=0.6
cycles=0.35 and is late=0.1;is not late=0.9
The probability of sheila walking and not being late:
0.65 x 0.6=0.39
AND probability of being not late and cycling:
0.35 x 0.9=0.315
therefore,the probability of sheila walking or cycling and still not being late:
0.39+0.315=0.705
What is the largest possible value x could take given that it must be an integer? x < 5
Answer:
4
Step-by-step explanation:
No greater number than 4 can be x because otherwise it'll be equal to or more than 5
The largest possible value x could take given that it must be an integer of x < 5 is; x = 4
We first have to understand the meaning of integers.
Integers are defined as whole numbers which could be positive or negative or even zero.
Now, we want to find the highest possible integers that are less than 5 from;
x < 5
Now, the first integer lower than 5 will be the highest possible one. That integer is 4.
Thus, x = 4.
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Describe and correct the error in finding the solution
(look at picture for problem)
Answer:
divide both sides by 2
Step-by-step explanation:
Which table represents a linear function?
Answer: first one
Step-by-step explanation:
What are the possible solutions to this system?
Answer:
x < 6.5
y < -1.5
Step-by-step explanation:
y > x - 8
Therefore x < y + 8
y < 5 - x
Therefore x < 5 - y
2x < 13
x < 6.5
6.5 < 5 - y
y < -1.5
how would i answer this?
Answer:
Option (B).
Step-by-step explanation:
Option (a). {(1, 2), (3, 4), (4, 5), (6, 7)}
Since in every ordered pair value of x corresponds a distinct value of y.
The given ordered pairs represent one-to-one function.
Option (b). {(0, 3), (1, 5), (3, 9), (1, 13)}
In the ordered pairs (1, 5) and (1, 13) value of x correspond to the two different values of y.
Therefore, its not a function.
Option (c). {(-2, 2), (-3, 3), (-4, -4), (-5, -5)}
For every value of x there is distinct value of y.
Therefore, given set of ordered pairs represent a one to one function.
Option (d). {(1, 2), (2, 2), (3, 5), (4, 8)}
Ordered pairs represent a function.
Option (B), will be the answer.
Which model represents a fraction greater than Three-fifths? A circle divided into 5 equal parts. One part is shaded. A circle divided into 10 equal parts. 5 parts are shaded. A circle divided into 6 equal parts. 2 parts are shaded. A circle divided into 10 equal parts. 8 parts are shaded.
Answer: A circle divided into 10 equal parts with 8 parts shaded
Step-by-step explanation:
Alright, there are a lot of words here so lets write them down as fractions so its easier to compare.
A circle divided into 5 parts with 1 part shaded = 1/5
A circle divided into 10 parts with 5 parts shaded = 5/10
A circle divided into 6 parts with 2 parts shaded = 1/3
A circle divided into 10 parts with 8 parts shaded = 8/10
Okay so looking at this we can see that they don't have a common denominator so lets fix that
1/5 = 6/30
5/10 = 15/30
1/3 = 10/30
8/10 = 24/30
3/5 = 18/30
Now lets find which one is greater than 3/5
Only the 24/30 one is greater, and looking back that is the circle divided into 10 parts with 8 of them shaded.
Answer: B for short
Step-by-step explanation:
All credit to the person above me! <3
4x - 7 = -2x +12 what are the steps ?
Step-by-step explanation:
4x-7=-2x+12
Add 2x
6x-7=12
Add 7
6x=19
Divide 6
x = 19/6
19/6 = 3 1/6
x = 3 1/6
Answer:
First u have to take -7 to the other side to make it +7 which will make it 4x=-2x+12+7And then take -2x to the other side to make 4x+2x=12+7which makes it 6x=19then solve for xboth divided by 66x/6=19/6cancel both 6athen x =ans?Really need help it’s due tomorrow
Answer:
C) 38
Step-by-step explanation:
You are solving for m∠QSR.
Given:
m∠TSR (Total of the two angles) = 70
m∠QST = 2x
m∠QSR = 3x - 10
Set the two angles equal to the total measurement of angles:
2x + 3x - 10 = 70
Simplify. Combine like terms. Add 2x & 3x:
2x + 3x = 5x
5x - 10 = 70
Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, add 10 to both sides:
5x - 10 = 70
5x - 10 (+10) = 70 (+10)
5x = 70 + 10
5x = 80
Next, divide 5 from both sides:
(5x)/5 = (80)/5
x = 80/5
x = 16
Then, plug in 16 for x in the expression given. Remember you are solving for m∠QSR.
m∠QSR = 3x - 10
m∠QSR = 3(16) - 10
m∠QSR = 48 - 10
m∠QSR = 38
C) 38 is your answer.
~
Answer:
38
Step-by-step explanation:
the sum of two angles =70
2x+3x-10= 70
5x=80
x=80/5=16
QSR= 3x-10=3*16 -10= 48-10= 38
– 4 vc2, when v = –7 and c = –2
Answer:
[tex] \boxed{112} [/tex]
Step-by-step explanation:
[tex]Evaluate - 4v {c}^{2} \: where \: v= - 7 \: and \: c= - 2 : \\ = > - 4v {c}^{2} \\ = > - 4( - 7) {( - 2)}^{2} \\ \\ {( - 2)}^{2} = 4: \\ = > - 4( - 7)4 \\ \\ - 4( - 7) = 28: \\ = > 28 \times 4 = 112[/tex]
A jar contains 56 quarters and pennies. The total value of the coins is $3.92. Which system of equations can be used to find p, the number of pennies, and q, the number of quarters?
Answer:
let x = the number of nickels
the number of pennies can be represented by (56 - x)
.05x + .01(56 - x) = 1.52
5x + (56 - x) = 152 if in the above line we multiply both sides of the equation by 100
4x + 56 = 152
4x = 96
x = 24
There are 24 nickels and 56 - 24 = 32 pennies
24 nickels are worth 24 * 5 = $1.20 and 32 pennies are obviously worth 32 cents, so the total is 1.20 + 0.32 = $1.52
Step-by-step explanation:
One more question that is very similar to the last problem. I am confused on how to solve the powers in both the numerator and the denominator. Do you think you could help me?
[tex]answer \\ = \frac{4}{25} \\ please \: see \: the \: attached \: picture \\ for \: full \: solution \\ hope \: it \: helps[/tex]
Angel wants to distribute a certain amount of money among his children. IF you split $10 each, you have $35 left, and if you split $15 each, you still have $5 left. Indicates the amount of money distributed.
Answer:
95
Step-by-step explanation:
Let x be the number of children
10x+35 = money
15x+5 = money
Set the equations equal
10x+35 = 15x+5
Subtract 10x from each side
35 = 5x+5
Subtract 5 from each side
30 =5x
Divide by 5
30/5 =5x/5
6 =x
There are 6 children
10x+35 = money
10(6) +35
60+35
95
The amount of money is 95
The 5 players on the basketball team have a mean height of 141 cm. The heights of 4 of the players are listed below. The height of the fifth player is unknown. 137 cm, 150 cm, 144 cm, 149 cm Is the fifth player taller or shorter than 141 centimeters?
[tex]\frac{137+150+144+149+x}{5} =141[/tex]
[tex]x=125[/tex]
Therefore, the man is shorter than 141 centimeters.
1. If the original price is $75 and you get a 30% discount. What is the sale
price?
Answer:
the sale price is 52.50
Step-by-step explanation:
30% discount means that the person pays 70% of the original price
multiply 75 by 70% written as a decimal 0.70
75*0.70 = 52.50
Which equation represents circle C?
Answer:
The equation of the circle is
(x + 4)^2 + (y-1)^2 = 162
Step-by-step explanation:
Here, we want to give the correct equation of the circle.
The center of the circle is (-4,1)
Now the other parameter we need to show the equation of the circle is the radius of the circle and this can be obtained from the distance between the circle center and a point on the circumference.
We use the distance formula to calculate this.
So the distance we want to calculate is the distance between;
(-4,1) and (5,-8)
using the distance formula, we have
d = √(x2-x1)^2 + (y2-y1)^2
Substituting these values, we have;
d = √(5 + 4)^2 + (-8-1)^2
d = √(9^2 + 9^2)
d = √(162)
d = 9 √2 units
The formula for the equation of a circle is
(x-h)^2 + (y-k)^2 = r^2
where (h,k) are coordinates of the center which is (-4,1) in this question
The way of the circle is thus,
(x-(-4)^2 + (y-1)^2 = {9√(2)}^2
(x + 4)^2 + (y-1)^2 = 162
Which statements are true? SELECT ALL THAT APPLY
Answer:
C
Step-by-step explanation:
AC & BC are adjacent sides.
If two sides share a vertex, then they are adjacent sides
ini apa we jawabannya pelasee
Answer:
kualitas terjemahannya mungkin tidak bagus. Jadi lihat 2 baris terakhir jika Anda tidak mengerti.
Jadi jumlah derajat tidak masalah. Mereka masih akan menempuh jarak yang sama.
Karena Anda mengatakan bahwa ekspres Marina berjalan pada 40 km / jam dan kami melakukan 2 jam. 40 * 2 = 80 km. Untuk Dumai Anda melakukan hal yang sama, 48 * 2 = 96.
Marina berjalan sejauh 80 km
Dumai berjarak 96 km
Someone please help me
Answer:
The answer is x = 4
Step-by-step explanation:
1. First you need to distribute the 3/4 * (x + 8). This looks like (3/4) * (x) + (3/4) * (8) = 9
2. Next you simplify the distributed equation, 3/4x + 6 = 9
3. Now subtract 6 from both sides, 3/4x = 3
4. Multiply both sides by 4/3, 4/x * 3/4x = 3 * 4/3
5. Simplify, x = 4