how many solutions does the following equation have [tex] 8u+3(1/3u-6)=9u+2u+12[/tex]
Without even working out anything we can easily tell the answer is [tex]1[/tex] because the degree of the equation is one.
If you haven't learned this yet let me know and I will post the manual work.
:)
Answer:
1 solution
Step-by-step explanation:
When put in general form, the coefficient of u is non-zero, so there is 1 solution.
0 = 9u +2u +12 -(8u +3(1/3u -6))
0 = 11u +12 -8u -3(1/3u -6)
0 = 3u +12 -u +18
0 = 2u +30 . . . general form equation
0 = u +15
-15 = u . . . . . one solution
All sale items are marked an additional 10% off the sale price. If a coat that originally costs $110 is on sale for 25% off, what is the new sale price? Is this a reduction of 35% off the original price
Answer:
The new sales price is $74.25
Step-by-step explanation:
110 x 0.25 = 27.5
110 - 27.5 = 82.5
82.5 x 0.10 = 8.25
82.5 - 8.25 = 74.25
Simply discounting 35% off the original price does not work in this specific problem.
Find the distance between a point (6, 9) and a horizontal line at y = 5. A) 4 B) 11 C) 15 D) 14
Answer: A.) 4
Step-by-step explanation:
Given the following:
Horizontal line y = 5
Point (6, 9)
Distance between point (6, 9) and horizontal line y = 5
For point (6,9) ; x1 = 6, y1 = 9
Horizontal line : y = 5
Hence, distance between the two points will be the difference between the the y values :
y1 - y = 9 - 5 = 4
Hence, the distance between a point (6, 9) and a horizontal line at y = 5 is 4
What is the solution of the inequality x3 + 3x2 > 7x + 6?
Answer:
Inequality form : - 5 + squareroot13 / 2 < x < - 5- squareroot13 / 2 or x > 2
Step-by-step explanation: Solve the inequality by finding the roots and creating test intervals.
I hope this helps you out! :)
The solution to the inequality is [tex]\rm \left (\dfrac{-5+\sqrt{13} }{2} < x < \dfrac{-5-\sqrt{13} }{2} \right ) \ or \ x > 2[/tex].
The Interval Notation is [tex]\rm \left (\dfrac{-5+\sqrt{13} }{2} , \dfrac{-5-\sqrt{13} }{2} \right ) \cup (2, \infty)[/tex].
What is inequality?In Mathematics, the relationship between two values that are not equal is defined by inequalities.
The given inequality is;
[tex]\rm x^3 + 3x^2 > 7x + 6[/tex]
The solution to the inequality is determined in the following steps given below.
[tex]\rm x^3 + 3x^2 > 7x + 6\\\\\rm x^3 + 3x^2-7x-6 > 7x + 6-7x-6\\\\ x^3 + 3x^2-7x-6 > 0\\\rm \\ x(x^2+5x+3)-2(x^2+5x+3) > 0\\\\ \rm x^3+5x^2+3x-2x^2-10x-6 > 0\\\\ x(x^2+5x+3)-2(x^2+5x+3) > 0\\\\\rm (x-2)(x^2+5x+3) > 0[/tex]
Now finding the roots of the inequality;
[tex]\rm (x-2)(x^2+5x+3) > 0 \\\\(x-2) \left (\dfrac{-5\pm\sqrt{25-12} }{2} \right )\\\\(x-2)\left (\dfrac{-5+\sqrt{13} }{2} \right )\left (\dfrac{-5-\sqrt{13} }{2} \right )[/tex]
Hence, the solution to the inequality is [tex]\rm \left (\dfrac{-5+\sqrt{13} }{2} < x < \dfrac{-5-\sqrt{13} }{2} \right ) \ or \ x > 2[/tex].
Learn more about inequality here;
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The rate of auto thefts doubles every 5 months.
(a) Determine, to two decimal places, the base b for an exponential model y = Abt of the rate of auto thefts as a function of time in
months.
(b) Find the tripling time to the nearest tenth of a month.
months
I think first one is the answer
mark me as branlist and follow me
How would the underline look like
Answer:
the correct answer is C
Amy invested in three companies: 1400 dollars for Apple, 1900 dollars for Google and 1700 dollars for Starbucks. Over the course of one year, she found that Apple went down 4 percent, Google went up 5 percent and Starbucks went up 3 percent. What is the average change in her portfolio?
Loss in apple [tex]=1400\times \dfrac{4}{100}= 56[/tex]
Present value = 1400 - 56 = $1344 .
Loss in google [tex]= 1900\times \dfrac{5}{100}=95[/tex]
Present value = 1900 + 95 = $1995 .
Loss in Starbucks [tex]=1700\times \dfrac{3}{100}=51[/tex]
Present value = 1700 + 51 = $1751 .
Total investment , T = 1400 + 1900 + 1700 = $5000 .
Gain , G = 56 + 95 + 51 = $202 .
% increase [tex]=\dfrac{202}{5000}\times 100 = 4.04 \%[/tex]
Hence , this is the required solution .
Can someone help pls the question in the pic (geometry)
Answer:
Reflection over y axis, and translate right 1
Step-by-step explanation:
MAYBE THIS IS EASY BUT I STILL DOMT GET IT :c
Answer:
What's the question???
Answer:
Cool can you give me brainliest
Step-by-step explanation:
Describe the shape of the distribution shown in the dot plot.
The dot plot displays the golf scores from a golf tournament.
140
132
134
136
138
golf score (strokes)
A. Uniform
B. Bimodal
C. Left-Skewed
D. Right-Skewed
E. Symmetrical
F. Bell-shaped
Answer:
The answer is C. Left-Skewed
A scale drawing of a lake has a scale of 1 cm to 80 m. If the actual width of the lake is 1,000 m, what is the width of the lake on the scale drawing? Explain or show your reasoning.
Answer: 12.5 cm
Step-by-step explanation:
Equation would be:
1:80
?:1000
So you'll just have the cross multiply the equation above to find ? ( scale drawing lake). It'll be 1000*1/80 which will be 12.5 cm.
The width of the lake on the scale drawing is 12.50 cm
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
The scale drawing is usually reduced at a constant dimension
Dimension of the scale drawing = original dimensions / scale of the drawing
The scale is 1 cm to 80m
Thus, the width of the lake on the drawing = 1000 / 80 = 12.50cm
To learn more about scale drawing, please check: https://brainly.com/question/1175428?referrer=searchResults
If a person drives his car in the speed 50 miles per hour, how far can he cover the distance in 2.5 hours ?
Answer:
Hey there!
50 miles = 1 hour
x miles = 2.5 hours
50/1= x/2.5
x=2.5x50
x=125
The car can go 125 miles.
Hope this helps :)
Answer:
125miles
Step-by-step explanation
distance=speed *time
d=50*2.5
d=125m
6. How many 1/2 hour periods will make up 4 hours?
Answer:
8 1/2 hour periods will make up 4 hours.
Step-by-step explanation:
half an hour is 30 minutes, and there are 60 minutes in an hour. 4 hours=240 minutes. 240÷30=8.
hope this helps! best of luck <3
(3 + 2i) - (5 -7i) Write answer in standard form a +bi
(3 + 2i) - (5 - 7i)
Distribute the - sign
3 + 2i - 5 + 7i
Combine like terms
-2 + 9i
What is the y-intercept of:
y = x2 - 6x + 5
Answer:
the y intercept is (0,5)
Step-by-step explanation:
Does someone have this kind of problem?
Answer:
Yes :<
Step-by-step explanation:
Hmm.. maybe f-1 (x) has a y-intercept of (0,-36).
1. Function s is y = 5x - 4
(a) What is the inverse of function s? Show steps to finding it.
(b) Graph the function & its inverse on the same grid. Show at least 3 points on each line.
(c) Is the inverse of function s a function? Explain your answer.
Answer:
duhuhduiwehiufhewufuewgewfguiwgf
Step-by-step explanation:
Use the Distributive Property to multiply 9 and 37 in your head.
What is the answer?
Answer:
The answer is 333.
Step-by-step explanation:
Using the distributive property, you can do:
9 x 30 = 270
9 x 7 = 63
270 + 63 = 233.
Then, just check with a calculator. It's correct.
Hope this helps!
Answer: 333
Step-by-step explanation:
9x(30+7) = (9x30) + (9x7)
270+63=333
Which phrase is equivalent to “Franco must work a minimum of 32 hours”? The number of hours Franco works must be less than 32. The number of hours Franco works must be greater than 32. The number of hours Franco works must be less than or equal to 32. The number of hours Franco works must be greater than or equal to 32.
Answer:
The number of hours Franco works must be greater than or equal to 32.
Step-by-step explanation:
The number of hours Franco works is greater than or equal to 32. Then the correct option is D.
What is inequality?Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.
The statement is given below.
“Franco must work a minimum of 32 hours”
Let x be the number of hours France works.
According to the statement, the inequality equation will be given as
x ≥ 32
The number of hours Franco works is greater than or equal to 32.
More about the inequality link is given below.
https://brainly.com/question/19491153
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Andrew was making a science project for school. He worked for 6.6 hours the first week, 2.75 hours the second week, and 4.4 hours the third week.
Andrew used the following mental math strategy to find the total number of hours he worked on his project.
Answer:
Step-by-step explanation:
its wierd but 2.22
Find the volume of a cylinder with height 25cm and radius 5cm
Answer:
1963.5
-------------
Answer:
1,932 cm approxmately.
Step-by-step explanation:
Your formula is V= π5²h
V= 3.14 x 5² x 25
V= ≈1932 cm
8. Aaron was riding his bicycle to school at a rate of 18 miles an hour down the street. As he got
closer to school, he gradually slowed his bike until he stopped at the bike rack.
Which of the graphs below best represents the change in Aaron's position over time?
Answer:
A.
Step-by-step explanation:
Aaron was riding forward, so the position graph should always be sloping upward, with his position always increasing away from home. Lastly, he slowed gradually as he got closer to the school, until he stopped at the bike rack, so the slope of X does not fit. Graph Z best fits this situation.
Answer: its Y
Step-by-step explanation: I did the study island
Drag equations to each row to show why the equation of a straight line is y = 3x, where 3 is the slope.
Answer:
y=9
Step-by-step explanation:
no matter what y is there is no +b so it would be a constant straight line. y=3(3) and there is no y intercept. hope this answers your question
MATCH THE EXPRESSIONS WITH THE VARIABLES IN IT! HELP I APPRECIATE IT
x:
[tex]3x^{2} +x+9[/tex]
y:
[tex]4y+7[/tex]
[tex]6y^{2} +y+3[/tex]
x and y:
[tex]2x-3y^{3} -4[/tex]
[tex]5x+3y+6[/tex]
how do you know if an number composite or not
Answer:
A prime number has only two factors: 1 and itself. A composite number has more than two factors
Step-by-step explanation:
Can i have a thanks?
9. Apply The number of people in the United States who are at least 100
years old grew about 66% from 1980 to 2010. Write that information as a
conditional statement.
Answer: If in 1980 we had N people who were at least 100 years old, then in 2010 we had N*1.66 people who were at least 100 years old.
Step-by-step explanation:
A really simple conditional statement can be written as:
If P, then Q
Where P is the hypothesis, and Q is the conclusion.
In this case, we know that:
"The number of people with age equal or larger than 100 years old, grew about 66% from 1980 to 2010"
This means that if in 1980 we had N people in that age range, in 2010 we have N*(166%/100%) = N*1.66
Then we can write a conditional statement:
If in 1980 we had N people who were at least 100 years old, then in 2010 we had N*1.66 people who were at least 100 years old.
Which equation has a graph that is a parabola with a vertex at (-2, 0)?
y=-2x2
.y=(x + 2)2
O y = (x - 2)2
o y=x-2
Answer: B
y=(x+2)^2
Step-by-step explanation:
e2020
Answer:
B
Step-by-step explanation:
Brainliest? lol
the quotient of 15 and y
Answer:
Because we are working with a variable (y) and we don't know what number it represents, we can only write down what the calculation would be, but we can't get the actual number answer.
15/y
Step-by-step explanation:
A quotient is the answer to a division.
The statement "the quotient of 15 and y" can be written as 15/y
We have,
The statement "the quotient of 15 and y".
This can be written as,
15/y
The expression "15/y" represents the quotient of 15 and y.
When you divide 15 by y, you are calculating the quotient or the result of the division.
The numerator (15) represents the dividend, which is the number being divided, and the denominator (y) represents the divisor, which is the number by which you divide.
Thus,
The statement "the quotient of 15 and y" can be written as,
15/y
Learn more about expressions here:
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what is 2*2 please answer this question
Answer:
4
Step-by-step explanation:
Answer:
5-1
Step-by-step explanation:
Question 3
1 pts
Which number could be used as a counterexample to show that the conjecture
"All multiples of 3 are odd" is false?
12
027
O 33
O 15
The correct answer is A. 12
Explanation:
In mathematics, odd numbers are those numbers that cannot be divided into 2 without using a decimal number, for example, 13 ÷ 2 = 2.5 (decimal number). This does not occur with even numbers such as 26 because these can be divided into 2 and the result is an integer rather than a decimal (26 ÷ 2 =13).
On the other hand, a counterexample is a situation that shows an exception to the rule. In the rule "All multiples of 3 are odd", one counterexample is the number 12 because this is an even number (12 ÷2 = 6). Moreover, this number is a multiply of 3 as 3 can be multiplied by 4 to obtain 12, which shows multiplies of 3 can be even numbers.
-does anyone understand Stand this also does anyone else need help
Answer:
I think its j
Step-by-step explanation:
Answer: Choice F) [tex]x \le -5[/tex]
====================================================
Explanation:
One long rectangle represents x. Four of them represent 4x
One tiny unshaded square represents a unit 1. Specifically this value is positive. We have 2 columns and 6 rows, so there are 2*6 = 12 tiny squares.
So the stuff in the first box (the four long rectangles and the 12 tiny unshaded squares) represent the expression 4x+12
The stuff in the second box is -8 since we have 8 shaded squares each shaded square being -1.
----------------
The inequality we need to solve is [tex]4x+12 \le -8[/tex]
We'll subtract 12 from both sides, then divide both sides by 4 to fully isolate x
This is what the steps would look like:
[tex]4x+12 \le -8\\\\\\4x+12-12 \le -8-12 \ \text{ subtract 12 from both sides}\\\\\\4x \le -20\\\\\\\frac{4x}{4} \le \frac{-20}{4} \ \text{ Divide both sides by 4}\\\\\\x \le -5\\\\\\[/tex]
The inequality sign does not flip since we did not divide both sides by a negative number.