Answer:
Step-by-step explanation:
Perimeter = 32
length = x - 3
width = 2x + 7
Perimeter = 2* Length + 2* width
Perimeter = 2*(x-3) + 2(2x + 7) = 32 Remove the brackets.
2x - 6 + 4x + 14 = 32 Combine
6x + 8 = 32 Subtract 1 from both sides
6x = 32 - 8
6x = 24 Divide by 6
x = 24/6
x = 4
So the base = x - 3 = 4 - 3 = 1
The height = 2*4 + 7 = 8 + 7 = 15
Determine whether the following graph represents a function.
A.function
B. Not function
b i think...
lmk if it's wrong, if it is i'm sooooo sorry!!
:)
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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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.
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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
Brian is planning to donate 13% of his income to charity. His weekly paycheck is $667.63. How much does Brian plan to donate?
Answer:
Brian is planning on donating $86.79.
Step-by-step explanation:
The first step is to write 13% in decimal form. We then multiply, .13 x 667.63=$86.79
Joe has saved $50. He wants to
buy 3 graphic novels that cost $13 each.
Can Joe afford the graphic novels?
Answer:
Yes, Joe can afford the graphic novels.
Explanation:
Joe has $50Each graphic novel costs $13Joe wants 3 graphic novels[ Multiply ]
13 · 3 = 39
Joe will be spending at total of $39 if he buys 3 graphic novels. He will have a total of $11 left over. Joe can afford the graphic novels.
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
Can someone help pls the question in the pic (geometry)
Answer:
Reflection over y axis, and translate right 1
Step-by-step explanation:
make doubles. add 5+6
Answer:11
Step-by-step explanation:
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]
Assume that the standard deviation of daily returns for Marcus, Inc. stock in a recent period is 1.5 percent. Furthermore, a 95 percent confidence interval is desired for the maximum loss. Daily returns are normally distributed, and the expected daily return is 0.05 percent. What is the lower boundary of the maximum expected loss
Answer:
= - 2.43%
Step-by-step explanation:
From the information given:
Since the variable (daily returns) is normally distributed, Then, using empirical rule at 95% confidence interval level, we have:
[tex]( \mu - 1.96 \sigma \ , \ \mu + 1.96 \sigma)[/tex]
where;
The expected mean daily return [tex]\mu = 0.05 \%[/tex]
The standard deviation [tex]\sigma = 1.5\%[/tex]
Given that the 95% confidence interval is expected to be a maximum loss, then the probability is left-tailed which is 1.65[tex]\sigma[/tex] away from the average.
Thus the distribution of the lower boundary can be computed as:
= [tex](0.05 - 1.65 \times 1.5)\%[/tex]
= [tex](0.05 - 2.475)\%[/tex]
= [tex]( - 2.425)\%[/tex]
= - 2.43%
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
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.
Identify the domain of the function shown in the graph.
O A. -7 sys7
B. xso
C. y= 1.5
O O
D. xis all real numbers.
Answer. X is all real numbers
Step-by-step explanation:
Did it on apex
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
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?
-6n-32m+5n
Need help please
Answer:
Add
−
6 n and 5n.− 32m − n
Step-by-step explanation:
Which table corresponds to the graph of the function below?
Answer:
I belive its the second 1
Step-by-step explanation:
kakalkjslkajslkjslkjalk
Answer: A is the answer
Step-by-step explanation:
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
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:
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:
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
I need help I’ll give you points it’s urgent
Answer:
Step-by-step explanation:
Area: 28.26
Circumference: 12.56
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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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
In segment AC, the midpoint is B. If segments AC = 8 AB = 3x-1 find x.
Answer:
If B is the midpoint, it means
AC=2AB
8= 2(3x-1)
8= 6x-2
8+2= 6x
10= 6x
x= 10/6
x= 1.67
Hope it helps :-)
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
How would the underline look like
Answer:
the correct answer is C
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