-6b > 36
Divide both sides by -6;The result is b!b > -6or 2b > -4Divide both sides by 2The result is b!b > -2Find the exact solution of the following quadratic equation by using the Quadratic Formula. x^2-7x= 60
a.
{–12, 5}
c.
{–10, 24}
b.
{–5, 12}
d.
{60, 67}
Answer:
B. {-5, 12}
Step-by-step explanation:
the quadratic equation is given by the formula
x = -b± √b² - 4ac
2a
where a is the coefficient of x², b is the coefficient of x, and c is the constant
in the equation; x² - 7x -60 = 0
a = 1, b = -7, c = -60
x = -(-7)± √(-7)² - 4*1*-60 (negative sign multiplied by negative sign will
2*1 a positive sign)
x = 7 ± √49 + 240
2
x = 7 ± √289
2
x = 7 ± 17
2
x= 7 + 17 or 7 - 17
2 2
x = 24/2 or -10/2
x = 12 or -5
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Perform the operation indicated, then place the answer in the proper location on the grid. Write your answer in descending powers of m. (5m3 + 3mn2) + (-7m2n + mn2 - n3) - (mn2 + 2m3)
Answer:
[tex]3m^3-7m^2n+3mn^2-n^3[/tex]
Step-by-step explanation:
[tex](5m^3 + 3mn^2) + (-7m^2n + mn^2 - n^3) - (mn^2 + 2m^3)\\Solving:\\5m^3 + 3mn^2 -7m^2n + mn^2 - n^3 - mn^2 - 2m^3\\Adding\,\,like\,\,terms\,\,\\5m^3 -2m^3+ 3mn^2 -mn^2+mn^2-7m^2n-n^3\\3m^3 +3mn^2-7m^2n-n^3\\Arranging\,\,in\,\,desecnding\,\,order\,\,in\,\,power\,\,of\,\,m\\3m^3-7m^2n+3mn^2-n^3[/tex]
Pleaseeeee help me!!!!!!!
Answer:
118.3 m²
Step-by-step explanation:
The area (A) of a triangle is
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Note the legs 13 and 18.2 are at right angles to each other, hence
A = 0.5 × 13 × 18.2 = 118.3
The graph of g(x), shown below, is a vertical shift of the graph of f(x) = 2x.
Write the equation for g(x).
A. g(x) = 2x^ – 1
B. g(x) = 2x^+ 1
C. g(x) = 2x – 1
D. g(x) = 2x + 1
Answer:
c is the answer
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The given series has 6terms. What is the sum of the terms of the series 10+25+40+...+85
A.) 285
B.) 365
C.) 350
D.) 325
Answer:
A.) 285
Step-by-step explanation:
The sum of an arithmetic series is the sum of the first and last terms multiplied by half the number of terms.
(10 +85)·6/2 = 285 . . . sum of 6 terms
Based on the data table provided below, how many people would we expect to pick a snake as their favorite animal if 440 people were asked their preferences? Favorite Animal Number Panda 13 Snake 10 Tiger 17 Dolphin 15 104 80 136 120
Answer:
80 just did it in a lesson
Step-by-step explanation:
Answer:
Yeah the other dude is right it is 80
Step-by-step explanation:
What is the solution to this equation?
4x + 16 - x = 22 + 6
Answer:
x=4
Step-by-step explanation:
Simplifying
4x + 16 + -1x = 22 + 6
Reorder the terms:
16 + 4x + -1x = 22 + 6
Combine like terms: 4x + -1x = 3x
16 + 3x = 22 + 6
Combine like terms: 22 + 6 = 28
16 + 3x = 28
Solving
16 + 3x = 28
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-16' to each side of the equation.
16 + -16 + 3x = 28 + -16
Combine like terms: 16 + -16 = 0
0 + 3x = 28 + -16
3x = 28 + -16
Combine like terms: 28 + -16 = 12
3x = 12
Divide each side by '3'.
x = 4
Simplifying
x = 4
Hope this helps! And please correct me if I'm wrong so others can have the correct answer.
For this case we must solve the following equation:
[tex]4x + 16-x = 22 +6[/tex]
We add similar terms on both sides of equality:
[tex]3x + 16 = 28[/tex]
We subtract 16 from both sides of the equation:
[tex]3x = 28-16\\3x = 12[/tex]
We divide between 3 on both sides of the equation:
[tex]x = \frac {12} {3}\\x = 4[/tex]
ANswer:
[tex]x = 4[/tex]
Write the following integers in order from greatest to least. +4, -2, +1, -5, +3
4, 3, 1, -2, -5
Hope this helps.
The following integers from the greatest to least are as follows:
+4, +3, +1, -2, -5
Please help, Thanks.
Answer:
C
Step-by-step explanation:
49x² + 28xy + 4y² ← is a perfect square of the form
(ax + by)² = a²x² + 2abxy + b²y²
49 = 7² ⇒ a = 7 and 4 = 2² ⇒ b = 2
2ab = 2 × 7 × 2 = 28
Hence
49x² + 28xy + 4y² = (7x + 2y)²
with factor 7x + 2y ⇒ C
Write an equation in slope-intercept form for the line that passes through (8,1) and (4,3).
it would be y = −1/2x + 5
A rectangle has length (3x-8) and width (2x-7) cm .Write down and simplify an expression for the perimeter of the rectangle. So show me the answer and its working out.
The expression for the perimeter of a rectangle with length (3x-8) cm and width (2x-7) cm is P = 2 * ((3x - 8) + (2x - 7)). After simplification, the final expression for the perimeter is P = 10x - 30 cm.
Explanation:The perimeter of a rectangle is given by the formula 2 * (length + width). Here, the length of the rectangle is given as (3x - 8) cm and the width is given as (2x -7) cm. Therefore, substituting these into the formula the expression for the perimeter (P) is P = 2 * ((3x - 8) + (2x - 7)).
To simplify this, we first add up the like terms within the parentheses giving us P = 2 * (5x - 15). Then, apply the distributive property of multiplication over addition to simplify further and we get P = 10x - 30 cm. This is the simplified expression for the perimeter of the rectangle.
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Which of these is not a possible r-value?
–0.90, –0.67, 0.20, 1.75
a. 1.75
b. -0.90
c. -0.67
d. 0.20
Answer:
a. 1.75
Step-by-step explanation:
r values, or the correlation coefficient must be between -1 and 1, inclusive
-1 is a perfect negative correlation
0 is no correlation
+1 is a perfect positive correlation
1.75 is not between -1 and 1
What is the volume?
Please help I am confusion
Why is this one Kansas but this one isn’t Arkansas AMERICA EXPLAIN WHAT DO YOU MEAN ARKANSAS
That is because the English language is three child languages standing on each other's shoulders in long trenchcoat pretending to be an adult language.
Also, your answer is 32,000in^3
Write the following integers in order from greatest to least. -3, 0, -2, -8, +3
The following integers from the greatest to least are as follows:
+3, 0, -3, -2, -8
The answer is +3,0,-2,-3,-8
What is the cube root of 216x9y18
I’m not sure but I think it might be the second one, 6x^3y^6
the answer is b the second choice
The diameter of the circlular garden is 16 feet what is the approximate area of the garden? Please hurry
In a survey 7 out of 8 dentists recommend a ProTooth toothbrush.Based on this information,which can the toothbrush company predict about its recommendations
Answer:
Down below
Step-by-step explanation:
Well, the company can predict that most of the 8 dentists recommend the ProTooth toothbrush about 88 percent of the dentists recommend it 88 percent =0.88 as a decimal.
They can also predict that the one person that didn't recommend it beacause maybe there was a downside to the Protooth brush that the person didn't like
In a survey of 64 dentists, 56 of them will recommend a ProTooth toothbrush is the predicted option.
What is a Survey?This involves gathering of information through relevant questions from a sample of people to better understand them.
7/8 was the initial recommendation
We can get the final one by multiplying both sides by same value.
7 × 8 = 56
8 × 8 64
Therefore, in a survey of 64 dentists, 56 of them will recommend a ProTooth toothbrush.
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15 pts awarded and brainliest will be chosen!!!
Which of the following is the solution to | x+11 |< 17?
Answer:
A. x < 6 and x > - 28
Step-by-step explanation:
We have been given the following inequality;
| x+11 | < 17
We can replace the absolute value function by re-writing the inequality as;
-17< x+11<17
subtract 11 from both sides;
-17-11<x+11-11<17-11
-28<x<6
splitting this we have;
x<6
x>-28
Answer:
A. x < 6 and x > - 28
Step-by-step explanation:
| x+11 |< 17
x + 11 < 17
x < 6
-(x + 11) < 17
-x - 11 < 17
-x < 28
x > - 28
Answer
6 > x > -28 (x < 6 and x > - 28)
A sewer line slopes 1/4" per foot grade. Calculate the total fall in 30 feet.
The answer is:
The total fall in 30 feet will be 7.5 inches.
Why?To calculate the total fall in 30 feet, given the slope (decreasing rate for this case), we need to use the following equation:
[tex]TotalFall=\frac{\frac{1}{4} inch}{foot}*FeetAmount[/tex]
We are asked to calculate the total fall in 30 feet, so, substituting it into the equation, we have:
[tex]TotalFall=\frac{\frac{1}{4} inch}{foot}*30feet[/tex]
[tex]TotalFall=7.5inch[/tex]
Hence, we have that the total fall in 30 feet will be 7.5 inches.
Have a nice day!
Final answer:
To calculate the total fall in elevation for a sewer line with a 1/4" per foot grade over 30 feet, simply multiply 1/4" by 30, resulting in a total fall of 7.5 inches.
Explanation:
The student is asking how to calculate the total fall in elevation for a sewer line that has a consistent slope over a given distance. The slope given is 1/4" per foot of sewer line. To find the total fall over 30 feet, you need to multiply the slope per foot with the total distance.
Calculation:
Determine the slope per foot, which is 1/4".
Multiply this slope by the total distance, which is 30 feet.
1/4" x 30 = 7.5". This is the total fall in elevation over 30 feet.
The total fall in elevation for a sewer line over 30 feet, with a slope of 1/4" per foot, is 7.5 inches.
When Richard works out, he spends 12 minutes doing cardio and 18 minutes doing resistance training. Cooper's workout consists of 10 minutes of cardio and 16 minutes of resistance training. Who does a higher ratio of cardio to resistance training?
Answer:
Richard, at 2/3, versus Cooper, at 5/8
Step-by-step explanation: 12 min
Richard's ratio of cardio to resistance is R = ------------ = 2/3
18 min
10 min
Cooper's is C = ------------ = 5/8
16 min
The LCD here is 24. Rewrite 2/3 and 5/8 with denominator 24 for greater ease in comparing the two fractions/ratios:
R = 16/24 and C = 15/24
So it becomes obvious that Richard does a higher ratio of carido to resistance.
help please thanks!!!!!
Answer:
B
Step-by-step explanation:
The interquartile range is the difference between the upper quartile ( the right side of the box plot ) and the lower quartile ( the left side of the box plot )
For cars this is 29 - 22 = 7 and
For minivans is 21 - 18 = 3
Answer:
The second one, cars 7mpg, minivans 3mpg
Step-by-step explanation:
This is because if you subtrect the upper quartile from the lower quartile you get a range this range is the answer to the queestion.
The exchange rate of U.S. Dollars to British pounds (?) is .63. You have $4000 to convert to British pounds. How many British pounds will you receive?
Answer:
2,520 pounds
Step-by-step explanation:
Step 1: For this question, all you have to do is multiply 4,000 * 0.63. In other words, you are multiplying the amount you have by the conversion rate. 4,000 * 0.63 is 2,520. That's our answer.
if rick has monthly expenses that total $2600 and he makes $6900 a month what is his debt to income ratio? Will the bank give him mortgage based on this information?
Please please help me out
Answer:
The slant height of the pyramid is 3√2 ft, or to the nearest tenth ft,
4.2 ft
Step-by-step explanation:
The equation for the volume of a pyramid of base area B and height h is
V = (1/3)·B·h. Here, V = 432 ft³, B = (12 ft)² and h (height of the pyramid) is unknown. First we find the height of this pyramid, and then the slant height.
V = 432 ft³ = (144 ft²)·h, so h = (432 ft³) / (144 ft²) = 3 ft.
Now to find the slant height of this pyramid: That height is the length of the hypotenuse of a right triangle whose base length is half of 12 ft, that is, the base length is 6 ft, and the height is 3 ft (as found above).
Then hyp² = (3 ft)(6 ft) = 18 ft², and the hyp (which is also the desired slant height) is hyp = √18, or √9√2, or 3√2 ft.
The slant height of the pyramid is 3√2 ft, or to the nearest tenth ft,
4.2 ft
The hundredth's digit is twice the size of the tenth's digit. The unit's digit is 3 less than the tenth's digit.
Answer:
1.48
Step-by-step explanation:
4 times 2 = 8
4 minus 3 = 1
The three-digit no. is 2a a a - 3 whose hundredth digit is twice the size of the tenth digit. The unit's digit is 3 less than the tenth digit.
What is the standard decimal form of numbers?The standard decimal form of numbers is written in base 10 as there are 10 different numbers from 0 to 9.
Each digit has a face value and a place value.
Let, The tens digit be 'a'.
Given, The hundredth's digit is twice the size of the tenth's digit.
∴ The hundredth digit be '2a' and the unit digit is (a - 3).
So, The 3-digit no. is 2a a a - 3, where a is, {2, 3, 4}.
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What is the smallest integer greater than √148 ?
13
15
14
12
11
Answer 13;
because sqrt148~12.16
Answer:
The smallest integer greater than √148 is 13
Step-by-step explanation:
√169 = 13
√144 = 12
so √148 is between 12 and 13
12 < √148 < 13
On those option choices
11 and 12 are smaller than √148
13, 14 and 15 are greater than √148
The smallest integer greater than √148 is 13
If 2x−3y=11 and 3x+15=0, what is the value of y? These are the choices given:
a) -7 b)-5 c)-1/3 d)3 e)10
Answer:
A.-7
Step-by-step explanation:
If [tex]2x-3y=11[/tex] and [tex]3x+15=0[/tex]
To know the value of y we need to clear x in the equation [tex]3x+15=0[/tex] and the result replace it in [tex]2x-3y=11[/tex].
Then, let's clear x in the equation [tex]3x+15=0[/tex]
[tex]3x=-15\\x=-\frac{15}{3} =-5[/tex]
Substituting the value of x in the equation [tex]2x-3y=11[/tex]
[tex]2(-5)-3y=11\\-10-3y=11\\-3y=11+10\\y=\frac{11+10}{-3} \\y=\frac{21}{-3}\\ y=-7[/tex]
Answer:
a) y = -7.
Step-by-step explanation:
2x − 3y = 11
3x + 15 = 0
From the second equation:
3x = -15
x = -5.
Substitute this value in the first equation:
2(-5) - 3y = 11
-10 - 11 = 3y
3y = -21
y = -7.
Identify the value of y and the length of each chord. HELP ASAP!!
Answer:
y = 57, PQ = 60, RS = 28
Last option is the answer
Step-by-step explanation:
3 * y = 9 * 19
3y = 171
y = 57
PQ = 3 + 57 = 60
RS = 9 + 19 = 28
Answer:
y = 57; PQ = 60; RS = 28
Step-by-step explanation:
The product of lengths of parts of a chord is a constant, so ...
PT·TQ = RT·TS
TQ = y = RT·TS/PT = 9·19/3 = 57
Of course the total chord length is the sum of its parts, so ...
PQ = PT +TQ = 3 +57 = 60
RS = RT +TS = 9 +19 = 28
Then your answer choice is ...
y = 57; PQ = 60; RS = 28.
please help! John-Mark recorded the stats for several baseball pitchers. He made a scatterplot showing the
number of games they played and the percentage they lost. Which line is the best fit for this
data?
y = 10x - 70
y = 10x + 70
y = -10x + 110
y = -10x - 110
Answer: Third Option
[tex]y = -10x + 110[/tex]
Step-by-step explanation:
The equation of a line in the pending intersection form has the following form:
[tex]y=mx +b[/tex]
Where m is the slope of the line and b is the intersection with the y axis.
Observe in the graph that the data form a decreasing line. Then the adjustment line must have a negative slope [tex]m <0[/tex].
The first and the second option have positive slopes, therefore we discard them.
Notice in the scatter diagram that the intersection of the line with the y-axis (x = 0) is above 90.
The line of the fourth option has a value of [tex]b = -110 <90[/tex].
Therefore the line that best fits the data is the third option
[tex]y = -10x + 110[/tex]
Note that the line has a slope [tex]m = -10[/tex] and a value of [tex]b> 90[/tex]
A spinner has 10 equally sized sections, 6 of which are gray and 4 of which are blue. The spinner
is spun twice. What is the probability that the first spin lands on blue and the second spin lands
en gray
Write your answer as a fraction in simplest form.
Answer:
6/25
Step-by-step explanation:
6/10 chance for grey.
4/10 chance for blue.
And = Multiplication
Or = Addition
6/10 times 4/10 = 24/100
24% chance or 6/25 chance it will land on grey and blue.
(Theoretical Probability)
The probability that the first spin lands on blue and the second spin lands on gray is 6/25.
The probability of the first spin landing on blue and the second spin landing on gray can be calculated as follows:
Probability of landing on blue on the first spin = 4/10 = 2/5
Probability of landing on gray on the second spin = 6/10 = 3/5
Multiply the probabilities of each spin: (2/5) * (3/5) = 6/25
Therefore, the probability that the first spin lands on blue and the second spin lands on gray is 6/25.