Answer:
-6/5
Step-by-step explanation:
-2 2/5=-12/5
1/2*-12/5=-12/10=-6/5
multiply the polynomial 3x2+4x+4)(2x-4)
Answer:
[tex]\large \boxed{6x^{3} - 4x^{2} - 8x -16}[/tex]
Step-by-step explanation:
(3x² + 4x + 4)(2x - 4)
The easiest method is probably to use long multiplication.
3x² + 4x + 4
2x - 4
6x³ + 8x² + 8x
- 12x² - 16x - 16
6x³ - 4x² - 8x -16
[tex]\text{The product of the polynomials is $\large \boxed{\mathbf{6x^{3} - 4x^{2} - 8x -16}}$}[/tex]
Answer:
6x3 – 4x2 – 8x – 16
Step-by-step explanation:
Halfway through a cross-country meet, a runner’s speed is 4 m/s. In the
last stretch, she increases her speed to 7 m/s. What is her change in
speed?
Answer:
The change in her speed is 7 m/s - 4 m/s = 3 m/s.
Step-by-step explanation:
Speed is defined as the rate of change of distance with time.
i) Let the total distance of the cross country be x meters.
ii) The change in her speed is 7 m/s - 4 m/s = 3 m/s.
Jane has rolled a fair die 7 times and each time has gotten a 3. She says that the probability that she will get a 3 on the next roll is high (close to 1). Is she correct?
A) No, the probability of getting a 3 on a fair die does not change. It will always be 1/6
no matter what she got on the previous roll.
B) Yes, since she has gotten a 3 on the last 7 rolls, the probability of getting a 3 is higher on the next roll.
C) No, the probability of getting a 3 will be slightly higher than any other number but not close to 1.
D) There is no way to tell until she rolls the die. You cannot accurately predict what she will get.
A) No, the probability of getting a 3 on a fair die does not change. It will always be 1/6 no matter what she got on the previous roll.
Step-by-step explanation:
Lets define probability first
"Probability is the likeliness of occurrence of an event"
When we call a die fair, that means that each number on the die has an equal chance of occurrence when rolled.
If on 7 rolls, the outcomes were 7 each time, this doesn't mean that the chances of rolling a specific number on a fair die is changed. On the next roll, 3 will have the same probability as before that is 1/6
So,
The correct answer is:
A) No, the probability of getting a 3 on a fair die does not change. It will always be 1/6 no matter what she got on the previous roll.
Keywords: Probability, die roll
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One reading at an Arctic research station showed that the temperature was -35° C. What is this temperature in degrees Fahrenheit?
Answer: [tex]-31\ \°F[/tex]
Step-by-step explanation:
Degrees Celsius and Degrees Fahrenheit are defined as units of measurement of temperature.
In order to make the conversion from Degrees Celsius to Degrees Fahrenheit, you need to follow these steps:
Step 1: You must multiply the temperature in degrees Celsius by [tex]\frac{9}{5}[/tex] (or you can multiply it by 1.8).
Step 2: Then you must add 32 to the product obtained.
In this case, according to the information given in the exercise, you know that the reading at an Arctic research station showed that the temperature was [tex]-35\°C[/tex]
Therefore, applying the steps indicated before, you get that that temperature in degrees Fahrenheit is:
[tex]T_{(\°F)}=(-35)(\frac{9}{5})+32\\\\T_{(\°F)}=-31\ \°F[/tex]
Given a grid with 15 sections, determine how many sections in the grid need to be shaded so the probability of a point chosen at random in the shaded area is exactly 0.8. Explain your reasoning
Answer:
12
Step-by-step explanation:
0.8 is equal to 80%
you need to figure out 80% of 15
100% = 15
10% = 1.5
(x8)
80% = 12
you would need to shade 12 out of 15 boxes which gives 0.8 chance of picking a shaded one
Answer:
Sample answer: The number of squares that are shaded divided by 15 must equal 0.8, so the number of squares must be 0.8(15), which equals 12. The fraction 12/15 reduces to 4/5 which is equal to 8/10.
Step-by-step explanation:
The sample answer on edge
Whats the value of 3x+4y-10 when x=3 and y=2
First person to answer will get the brainliest
Answer:
7
Explanation:
(3)(3)+(4)(2) − 10
(3)(3)
= 9
(4)(2)
= 8
9 + 8 = 17
17 - 10 = 7
Answer:
7
Step-by-step explanation:
3(3)+4(2)-10
9+8-10
17-10
7
Write the slope -intercept form of an equation of the line that passes through the given point and is parallel to the graph of the equation.
5,-5,3x+y=-2
A. y=10x+3
B. y=-3x+10
C. y=1/3x-10
D. y=-3x-10
Answer:
The equation of the required line in the slope-intercept form is
y = -3x + 10
Step-by-step explanation:
i) the required line passes through the point (5, -5)
ii) the required line is also parallel to the line 3x + y = -2 ⇒ y = -3x - 2
Therefore the slope of the given line is -3.
Therefore the slope of the required line is also -3
The equation of the required line in the slope-intercept form is
y - (-5) = -3(x - 5) ⇒ y + 5 = -3x + 15 ⇒ y = -3x + 10 ∴ 3x + y = 10.
The graphed line shown below is y = 5x-10.
Which equation, when graphed with the given equation, will form a system that has no solution?
y = -5x+10
y = 5 (x + 2)
y = 5 (x-2)
y = -5x - 10
Answer:
y = 5x - 10 and y = 5(x + 2) are the system of equations that has no solution.
Step-by-step explanation:
The slope-intercept form of a straight line equation is given by, y = mx + c, where m is the slope and c is the y-intercept.
Now, only a system of parallel straight lines has no solution.
And the parallel straight lines have an equal slope and different y-intercept.
Hence, the given equation, y = 5x - 10 has slope equals to 5 and y-intercept - 10.
And the lines given in the options, only the second line i.e. y = 5(x + 2) has the same slope i.e. 5 and different y-intercept i.e. 10 ≠ - 10.
So, y = 5x - 10 and y = 5(x + 2) are the system of equations that has no solution. (Answer)
Answer:
B: y=5(x+2)
Step-by-step explanation:
What does 23/2 reduce down to in its simplest form?
To simplify this improper fraction we can turn it into a mixed number. The fact that the denominator is 2 and the numerator isn't divisible by 2 shows that it can't simplified any further as a improper fraction.
23/2 = 11 1/2
Best of Luck!
A dog weighs 40 pounds and the veterinarian thinks it needs to lose 9 pounds Mikala wrote the equation x + 9 = 40 to represent this situation Kirk wrote the equation 40-x=9 which equation is correct? Enter another equation that represents the situation
Answer:
Both equations are correct because the veterinarian recommended that the weight the dog should have is 31 pounds. Another equation that represent the situation is:
31 = x
Step-by-step explanation:
Let's analyze the equation written by Mikala:
x + 9 = 40
x = 40 - 9
x = 31
Now, let's solve for x the equation written by Kirk:
40 - x = 9
- x = 9 - 40
- x = -31
x = 31
Both equations are correct because the veterinarian recommended that the weight the dog should have is 31 pounds. Another equation that represent the situation is:
40 - 9 = x
31 = x
Lamar took out a loan for $2500 and was charged simple interest at an annual rate of 9.3%. The total interest he paid on the loan was $186 . How long was the loan for, in days? Assume that there are 365 days in a year, and do not round any intermediate computations.
292 days
Solution:
Step 1: Given data:
Principal = $2500
Annual rate = 9.3%
Simple interest paid = $186
Step 2: To find the number of year for the loan paid.
Simple interest = [tex]\frac{Principal\times rate\times year}{100}[/tex]
[tex]186=\frac{2500\times9.3\times years}{100}[/tex]
Do cross multiplication.
⇒ 186 × 100 = 2500 × 9.3 × years
⇒ [tex]\frac{186\times100}{2500\times9.3}=years[/tex]
⇒ [tex]years=\frac{4}{5}[/tex]
Step 3: To find how long the loan was paid in days:
1 year = 365 days
Multiply years by 365
⇒ [tex]days=\frac{4}{5}\times365[/tex]
⇒ days = 292
Hence, the loan was paid in 292 days.
6b + 2 = 2b + 18
B = what?
Answer:
b=4
Step-by-step explanation:
6b+2=2b+18 add and subtract like terms
-2b. -2b
4b+2=18
-2. -2
4b=16
----- ----- divide
4. 4
b= 4
Answer: b = +4
Step-by-step explanation: When we have this kind of a setup, we want to put our variables together on one side of the equation and our numbers together on the other side of the equation.
So first, let's put our variables together on the left side by subtracting 2b from both sides of the equation. That gives us 4b + 2 = 18.
Now we can move our numbers to the right by subtracting 2 from both sides and we get 4b = 16.
Divide both sides by 4 and b = +4.
One light-year equals 5.9 x 1012 miles. How many light-years are in 6.79
1016 miles?
O
O
A. 8,689 light-years
B. 11,508 light-years
O
C. 1,151 light-years
O
D. 1.15 light-years
Option B
The number of light years in [tex]6.79 \times 10^{16}[/tex] miles is 11508 light years
Solution:
Given that,
One light-year equals 5.9 x 10^12 miles
Therefore,
[tex]1 \text{ light year } = 5.9 \times 10^{12} \text{ miles }[/tex]
To find: Number of light years in [tex]6.79 \times 10^{16}[/tex] miles
Let "x" be the number of light years in [tex]6.79 \times 10^{16}[/tex] miles
Then number of light years in [tex]6.79 \times 10^{16}[/tex] miles can be found by dividing [tex]6.79 \times 10^{16}[/tex] miles by miles in 1 light year
[tex]\text{Number of light years in } 6.79 \times 10^{16} miles = \frac{6.79 \times 10^{16}}{5.9 \times 10^{12}}\\\\\text{Use the law of exponent }\\\\\frac{a^m}{a^n} = a^{m-n}\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = \frac{6.79}{5.9} \times 10^{16-12}\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = 1.1508 \times 10^4\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = 11508[/tex]
Thus number of light years in [tex]6.79 \times 10^{16}[/tex] miles is 11508 light years
Consider circle c with angle 3/4 radians. If minor arc AB measures 9n inches, what is the length of
the radius of circle C? If necessary, round your answer to
the nearest inch.
6 inches
12 inches
18 inches
24 inches
The radius of circle is 12 inches
Solution:
Given that,
Consider circle c with angle [tex]\frac{3 \pi }{4} \text{ radians }[/tex]
Minor arc AB measures [tex]9 \pi[/tex] inches
Therefore, we can say,
[tex]Central\ angle\ in\ radians = \frac{3 \pi }{4}\\\\Arc\ length = 9 \pi[/tex]
To find: Radius of circle
The length of arc when angle given in radians is:
[tex]s = r \times \theta[/tex]
Where,
"s" is the arc length and "r" is the radius and [tex]\theta[/tex] is the central angle in radians
[tex]9 \pi = r \times \frac{3 \pi }{4}\\\\r = 9 \times \frac{4}{3}\\\\r = 12[/tex]
Thus the radius of circle is 12 inches
Answer:
B.) 12 inches
Step-by-step explanation:
What is the point slope equation of line that passes through the point (2,-3) and has the same y intercept as y =5×+2
Answer:
y + 3 = (-5/2)(x - 2)
Step-by-step explanation:
First look at y =5x + 2. It's immediately apparent that the y-intercept is 2, or (0, 2). (0, 2) must then be a point on the new line, and we are told that (2, -3) is also on this new line.
The general point-slope equation is y - k = m(x - h).
We need to determine the slope of the new line.
Let h = 2, k = -3, x = 0 and y = 2. Then:
2 + 3 = m(0 - 2). Therefore, -2m = 5, and m = -5/2.
Then the equation of the new line, in point-slope form, is
y + 3 = (-5/2)(x - 2)
Let's check this result. Do the coordinates of the y-intercept, (0, 2) satisfy this equation?
Is 2 + 3 = (-5/2)(0 - 2) true?
Is 5 = (-5/2)(-2) true? YES
The equation of line is 2y = -5x+ 4.
What is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. The slope of the line is the ratio of the rise to the run, or the rise divided by the run, therefore the change in y coordinate with regard to the change in x coordinate may be expressed as follows
m = Δy/Δx
where, m is the slope
In the coordinate plane, it describes the slope of the line.
Given:
passes through the point (2,-3) and has the same y intercept as y =5×+2
The, the intercept for the required line is 2.
Now, using y= mx+b
-3 = m(2) + 2
2m = -5
m= -5/2
Now, the equation of line passes through (2, -3)
y - y1 = m(x- x1)
y + 3= -5/2( x-2)
2y + 6= -5x+ 10
2y = -5x+ 4
Hence, the equation of line is 2y = -5x+ 4.
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The square of a number exceeds that number by 12. What are the two possible solutions?
Answer:
-3 or 4
Step-by-step explanation:
If I am wrong I am sorry :[
pls brainlest
Multiply.
35⋅34
A. 920
B.410
C. 45
D. 54
Answer: 1190
None of these answer choices are correct I showed my work on paper.
Answer:
it seems that you meant to use fractions. as a K12 student the answer is 9/20. Hope that helps!
The following chart shows a store's records of sales of stuffed toys over two months.
September
October
Teddy Bears
Teddy Bears
346
Rabbits
que
Cats
Cats
245
Horses
Other
199
Other
If the trend shown in these graphs stays constant, what percent of the market will teddy bears occupy in November? (Round
your answer to the nearest tenth.)
a. 24.8%
b. 23.4%
C. 22.5%
d. 20.7%
The percent of the market will teddy bears occupy in November is 28.47%.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. With the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Form a table as shown
Months Teddy Bears Rabbits Cats Horses Others Totals toys
September 225 275 245 260 199 1204
October 346 308 186 297 285 1422
November 467 341 127 334 371 1640
So, the percent of the market will teddy bears occupy in November
= 467 / 1640 x 100
= 0.2847 x 100
= 28.47%
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Order 3/50 4/52 7/99 11/120 17/333 least you greatest
Answer:
Step-by-step explanation:
17/333 11/120 7/99 4/52 3/50
estimate 15.89+5.557 by first rounding each number to the nearest tenth
Answer: 21.5
Step-by-step explanation:
Rounding 15.89: Find the number in the tenth place 8 and look one place to the right for the rounding digit 9 . Round up if this number is greater than or equal to 5 and round down if it is less than 5 . = 15.9
Rounding 5.557: Find the number in the tenth place 5 and look one place to the right for the rounding digit 5 . Round up if this number is greater than or equal to 5 and round down if it is less than 5 . = 5.6
Sum up 15.9+5.6 and get 21.5
Eric Schneider's bank statement shows a previous balance of $974.95. He made deposits of $246.00 and
$98.48. He wrote checks for $721.00 and $35.35. He has a $3.00 service charge and earned $0.75 in interest.
What is his present balance?
a. $506.83
c. $560.08
b. $486.08
d. $560.83
Answer:
D
Step-by-step explanation:
$974.95 + $246.00 + $98.48 - $721.00 - $35.35 - $3.00 + $0.75 = $560.83
Eric Schneider's present balance is calculated by adding his previous balance and deposits, subtracting the checks written and service fees, and then adding any interest earned. The result is $560.83.
Explanation:In order to find Eric Schneider's present bank balance, we need to add the money he deposited to his previous balance, subtract any checks he wrote and service charges, and add any interest earned. So, to break this down:
Start with his previous balance of $974.95.Add the deposits: $974.95 + $246.00 + $98.48 = $1319.43Subtract checks written and service charge: $1319.43 - $721.00 - $35.35 - $3.00 = $560.08Add interest earned: $560.08 + $0.75 = $560.83So, Eric Schneider's new balance is $560.83 (option d).
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Karyn cuts a length of ribbon into 4 equal pieces each 1 1/4 feet long. How long is the ribbon
Answer:
5 feet long
Plz give brainliest
A bakery offers a sale price of $2.95 for 3 muffins. What is the price per dozen?
Answer:
the price for a dozen is 12.00
Step-by-step explanation:
Answer: the price per dozen is 11.8
Step-by-step explanation:
-you have $2.95 for three muffins
-a dozen = 12
- if you add 2.95 +2.95 +2.95 +2.95 (because 3 muffins are worth $2.95 and it 3 times 4 is equal to 12 for the dozen) you get 11.8
What is the slope in the equation y= 3x +7
Answer:
3
Step-by-step explanation:
y=3x+7
y=mx+b where m=slope and b=y-intercept
x - 3(2x - 7) = 76
Help!
Answer:
To solve this equation your goal is to get x by itself
First we need to distribute the 3 through the (2x-7)
x-6x+21=76 (-3*2x=-6x, -7*-3=21)
Your next step is to combine like terms
-5x+21=76 (x-6x=-5x)
Next subtract 21 from both sides
-5x=55 (21-21=0, 76-21=55)
Last you need to divide both sides by -5
x=-11 (-5/-5=1, 55/-5=-11)
x=-11
Hope this helps ;)
The solution to the given equation x - 3(2x - 7) = 76 is x = -11.
The equation is given as follows:
x - 3(2x - 7) = 76
First, distribute the 3 to the terms inside the parentheses:
x - 6x + 21 = 76
Combine like terms:
-5x + 21 = 76
Subtract 21 from both sides:
-5x = 76 - 21
-5x = 55
Divide both sides by -5 to solve for x:
x = 55 / -5
x = -11
Therefore, the solution to the given equation x - 3(2x - 7) = 76 is x = -11.
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The complete question is as follows:
Solve the below equation.
x - 3(2x - 7) = 76
The width of a rectangle is 4 1/6 feet, and its area is 35 square feet. What is the perimeter of this rectangle?
Answer:
perimeter = 25.13feets
Step-by-step explanation:
width = 25/6 feet
Area = 35 square feet
lenght = Area/width = (35*6)/25 = 8.4feets
perimeter of the rectangle = 2(25/6 + 8.4) = 25.13 feets
Find a counter example to the statement. The sum of a negative number and a positive number will always be negative.
__ + __ = __
Answer:
Step-by-step explanation:
the sum of a negative number and a positive number will always be negative.
counter example :
-1 + 3 = 2
-2 + 5 = 3
-1 + 7 = 6
this is only sometimes true....
-5 + 3 = -2........-3 + 5 = 2
-6 + 1 = -5......-1 + 6 = 5
The sum of a negative number and a positive number always will not be negative.
The given statement is the sum of a negative number and a positive number will always be negative.
We need to find a counter example to the statement.
What are the sign rules for integers?The rule for adding integers with different signs is to retain the sign of the absolute value of the bigger number and subtract the absolute value of the bigger number from the smaller number.
Example:
-1+3=2 and -7+8=1
Therefore, the sum of a negative number and a positive number always will not be negative.
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Solve for y in terms of x
6x+3/2y=16
Answer:
x = (32y - 3)/6
Step-by-step explanation:
1. Multiply both sides of equation by 2y
6x + 3 = 32y
2. Isolate 6x
6x = 32y - 3
3. Isolate x
x = (32y - 3)/6
Answer:
see explanation
Step-by-step explanation:
Given
6x + [tex]\frac{3}{2}[/tex] y = 16
Multiply through by 2 to clear the fraction
12x + 3y = 32 ( subtract 12x from both sides )
3y = 32 - 12x ( divide both sides by 3 )
y = [tex]\frac{32-12x}{3}[/tex]
How do you find 4t-4=48
11
Step-by-step explanation:
subtract 4 from 48 which gives you 44
then divide 4 by 44 to leave t alone
that would give you 11
t equals 11
Which answer best describes the system of
equations shown in the graph?
6x + 4y = 2
3x + 2y = 1
consistent and independent
inconsistent
consistent and dependent
not enough information
Answer:
Step-by-step explanation:
6x + 4y = 2 3x + 2y = 1
4y = -6x + 2 2y = -3x + 1
y = - 3/2x + 1/2 y = -3/2x + 1/2
same line, infinite solutions.....Consistent and dependent
Answer:
Consistent and dependent
Step-by-step explanation: