Graph the system. Use the graph to approximate
the solution of the equation.
Answers
Answer:
2.09
Step-by-step explanation:
And set them up as a function. We could set y equals to each side of it. So if we set y equals to the left-hand. Side we get Y is equal to three has to the X power.
Answer:
Plot a graph of the function y = log (x) and move it by 1 unit to the left.
Plot the graph of the function y = x ^ 2, reflect over the x-axis, and move it 10 units up.
The coordinates of the intersection of the graphs are the solution.
Solution: x=3
I think this your answer you did not really say your answer?????
Related Questions
A bag contains 5 milk and 9 dark chocolates.
A sweet is selected at random.
What is the probability of choosing: P(milk)
Answers
Answer:
5/9
Step-by-step explanation:
The median weight of 15 dogs in a pet store is 12 pounds. Which action could change the median?
Answers
Answer:
If there was another dog whose weight was greater than or less than 12.
Step-by-step explanation:
12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 4
When we add 4 to the data set we have:
184 ÷ 16 = 11.5
This changed the median.
12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 28
When we add 28 to the data set we have:
208 ÷ 16 = 13
This also changed the median.
By adding dog of weight other than 12 pounds could change the median.
What is median?
The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. The median is sometimes used as opposed to the mean when there are outliers in the sequence that might skew the average of the values.
If we add the dog whose weight is more than 12 pounds, median will increase .
If we add the dog whose weight is less than 12 pounds, then median will decrease.
Hence, adding dog of weight other than 12 pounds could change the median.
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(8 pts)
7. Solve the following system using a matrix and converting the matrix to reduced row
echelon form, without introducing any fractions.
3x - 2y + 5z = -7
x – y + 3z = -5
4x + y + z = 6
Answers
Answer:
{x,y,z} = {-22/13,29/13,6/13}
Write the system as the following augmented matrix:
[tex]\left[ \begin{array}{ccc|c} 3 & -2 & 5 & -7 \\ 1 & -1 & 3 & -5 \\ 4 & 1 & 1 & 6 \end{array} \right][/tex]
Swap rows 1 and 2 :
[tex]\left[ \begin{array}{ccc|c} 1 & -1 & 3 & -5 \\ 3 & -2 & 5 & -7 \\ 4 & 1 & 1 & 6 \end{array} \right][/tex]
Eliminate the x coefficient from the last two rows by add -3 (row 1) to row 2, and -4 (row 1) to row 3 :
[tex]\left[ \begin{array}{ccc|c} 1 & -1 & 3 & -5 \\ 0 & 1 & -4 & 8 \\ 0 & 5 & -11 & 26 \end{array} \right][/tex]
Eliminate the y coefficient from the first and last rows by adding row 2 to row 1, and -5 (row 2) to row 3 :
[tex]\left[ \begin{array}{ccc|c} 1 & 0 & -1 & 3 \\ 0 & 1 & -4 & 8 \\ 0 & 0 & 9 & -14 \end{array} \right][/tex]
Eliminate the z coefficient from the second row by adding 4 (row 3) to 9 (row 2) :
[tex]\left[ \begin{array}{ccc|c} 1 & 0 & -1 & 3 \\ 0 & 9 & 0 & 16 \\ 0 & 0 & 9 & -14 \end{array} \right][/tex]
Eliminate the z coefficient from the first row by adding row 3 to 9 (row 1) :
[tex]\left[ \begin{array}{ccc|c} 9 & 0 & 0 & 13 \\ 0 & 9 & 0 & 16 \\ 0 & 0 & 9 & -14 \end{array} \right][/tex]
Then the solution to the system is (x, y, z) such that
9x = 13 and 9y = 16 and 9z = -14
or
x = 13/9 and y = 16/9 and z = -14/9
Find the next two terms in the sequence -3, 0, 3, 6
Answers
The rule is add 3 so yeah lol
Answer:
9, 12
Step-by-step explanation:
the rule is +3 for each step in the sequence
What I 0.00005164 written as a single digit times a power of ten
Answers
Answer:
5.164×10^-5
Step-by-step explanation:
[tex]5.164 \times {10}^{ - 5} [/tex]
A student concludes that the solution to the equation ( 2×+1+3=0 is×=4
Answers
Answer:
x = -2
Step-by-step explanation:
2x + 1 + 3 = 0
2x + 4 = 0
x = -2
x : y = 1 : 5. which is the correct equation?
Answers
Th e correct equation will be y = 5x
How to express ratios and proportionsRatios is a way dividing two integers. For instance, the ratio of a to b is written as a:b.
Given the ratios expressed as x:y = 1:5
Since ratio means division hence;
x:y = 1:5
x/y = 1/5
Cross multiply
1 * y = 5 * x
y = 5x
Hence the correct equation will be y = 5x
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If sin ∅ = a/b then prove that (sec ∅ + tan ∅) = √b+a/b-a
Answers
Given that
Sin θ = a/b
LHS = Sec θ + Tan θ
⇛(1/Cos θ) + (Sin θ/ Cos θ)
⇛(1+Sin θ)/Cos θ
We know that
Sin² A + Cos² A = 1
⇛Cos² A = 1-Sin² A
⇛Cos A =√(1-Sin² A)
LHS = (1+Sin θ)/√(1- Sin² θ)
⇛ LHS = {1+(a/b)}/√{1-(a/b)²}
= {(b+a)/b}/√(1-(a²/b²))
= {(b+a)/b}/√{(b²-a²)/b²}
= {(b+a)/b}/√{(b²-a²)/b}
= (b+a)/√(b²-a²)
= √{(b+a)(b+a)/(b²-a²)}
⇛ LHS = √{(b+a)(b+a)/(b+a)(b-a)}
Now, (x+y)(x-y) = x²-y²
Where ,
x = b and y = aOn cancelling (b+a) then
⇛LHS = √{(b+a)/(b-a)}
⇛RHS
⇛ LHS = RHS
Sec θ + Tan θ = √{(b+a)/(b-a)}
Hence, Proved.
Answer: If Sinθ=a/b then Secθ+Tanθ=√{(b+a)/(b-a)}.
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Which value of a makes the equation true?
Answers
Answer:
a = -2
Step-by-step explanation:
3(a + 1.5) = -1.5
3a + 4.5 (-4.5) = -1.5 (-4.5)
3a = -6
a = -2
Andrew and Kate have $30 to spend on dinner, tax, and gratuity at Mo’s Restaurant. Tax is 6%, and they will give a 15% tip on the total bill after taxes. Their dinner costs $21.00. Which statement correctly explains whether Andrew and Kate have enough money to pay their bill?
Yes. They have enough to pay their bill: 30 dollars times 1.06 = 31 dollars and 80 cents and 31 dollars and 80 cents times 1.15 = 36 dollars and 57 cents.
Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.
No. They do not have enough to pay their bill: 30 dollars times 1.06 = 31 dollars and 80 cents and 31 dollars and 80 cents times 1.15 = 36 dollars and 57 cents.
No. They do not have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.
Answers
Answer:
ANSWER: Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.
Step-by-step explanation:
convert all % to decimals
0.06 x 21 = $1.26 tax
0.15 x 21 = $3.15 tip
1.26 + 3.15 = $4.41 added payment
4.41 + 21 = = $25.41 total bill
(yes i am aware i did the method differently since i learned it another way but the answer should till be correct.)
Answer:
Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents. Otherwise B.
correct?````````````````````````````
Answers
what is the value of the 4 in the number 27.43? write your answer as a fraction
Answers
Answer:
4 tenths or 4/10
Step-by-step explanation:
I want to know my grade if I have an 86 and I get a 0 and it’s worth 20% of my grade what will my grade be?
Answers
Answer:
your grade will be an 76
Step-by-step explanation:
what is -5.3125 in The real Number System?
Answers
Answer:
It'd be a rational number
Step-by-step explanation:
Real numbers are a set of numbers containing all of the rational numbers and all of the irrational numbers.
Types of numbers in the rational number "section" are decimals, whole, mixed, and fraction numbers whether they are negative or positive they are rational numbers.
Irrational numbers are numbers that cannot be expressed as the ratio of two integers. So they would be square root, pi and more.
The exponential function y= a(b)^x passes through the points (3,25) and (8,10). Which of the following is closest to the value of b?
Answers
If the exponential function [tex]y=ab^x[/tex] passes through the points (3,25) and (8,10), the value of b is 0.833
The given exponential equation is:
[tex]y=ab^x[/tex]
The function passes through the points (3, 25) and (8, 10)
Substitute x = 3 and y = 25 into the function [tex]y=ab^x[/tex]
[tex]25=ab^3[/tex]............................(1)
Substitute x = 8 and y = 10 into the function [tex]y=ab^x[/tex]
[tex]10=ab^8[/tex].............................(2)
Divide equation (2) by equation (1)
[tex]\frac{10}{25}=\frac{ab^8}{ab^3} \\\\0.4=b^5\\\\b=0.4^\frac{1}{5} \\\\b=0.4^{0.2}\\\\b=0.833[/tex]
Therefore, if the exponential function [tex]y=ab^x[/tex] passes through the points (3,25) and (8,10), the value of b is 0.833
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Mario and Luigi are in a race in their new cars. Luigi has a 1000 foot head start and he travels at a speed of 4000 feet per minute Mario travels at a speed of 4200 feet per minute.
Write an equation to represent how far Luigi has traveled at any given number of minutes.
Write an equation to represent how far Mario has traveled at any given number of minutes.
If the race ends at 3 minutes, who wins?
How long in minutes would it take for Mario and Luigi to tie the race.
Answers
Answer:
mario lost the race and luigi won
Step-by-step explanation:
HELP ASAP PLEASE!!!!
Answers
Answers:
c = 7d = 5=========================================================
Explanation:
For equation A, I'll transform the right hand side into a similar form as the left side. Throughout the steps below, the left hand side stays the same.
[tex]\sqrt{448x^c} = 8x^3\sqrt{7x}\\\\\sqrt{448x^c} = \sqrt{(8x^3)^2}\sqrt{7x}\\\\\sqrt{448x^c} = \sqrt{64x^{3*2}}\sqrt{7x}\\\\\sqrt{448x^c} = \sqrt{64x^{6}}\sqrt{7x}\\\\\sqrt{448x^c} = \sqrt{64x^{6}*7x}\\\\\sqrt{448x^c} = \sqrt{64*7x^{6+1}}\\\\\sqrt{448x^c} = \sqrt{448x^{7}}\\\\[/tex]
Therefore, c = 7
Notice that 7/2 = 3 remainder 1. The quotient 3 is the exponent for the term outside the root for [tex]8x^3\sqrt{7x}[/tex] while the remainder 1 is the exponent for the x term inside the root.
---------------------------------------
We do the same idea for equation B.
[tex]\sqrt[3]{576x^{d}} = 4x\sqrt[3]{9x^{2}}\\\\\sqrt[3]{576x^{d}} = \sqrt[3]{(4x)^3}\sqrt[3]{9x^{2}}\\\\\sqrt[3]{576x^{d}} = \sqrt[3]{64x^3}\sqrt[3]{9x^{2}}\\\\\sqrt[3]{576x^{d}} = \sqrt[3]{64x^3*9x^{2}}\\\\\sqrt[3]{576x^{d}} = \sqrt[3]{64*9x^{3+2}}\\\\\sqrt[3]{576x^{d}} = \sqrt[3]{576x^{5}}\\\\[/tex]
This must mean d = 5
Note: 5/3 = 1 remainder 2, which means [tex]\sqrt[3]{x^5} = x^1\sqrt[3]{x^2} = x\sqrt[3]{x^2}[/tex]
Pedro had $14.90 in his wallet. He spent $1.25 on a drink. How much does he have left?
(a) Estimate the answer by rounding to the nearest whole numbers before subtracting.
(b) Find the difference. Show your work (steps).
(c) Check your answer. Is it reasonable? How do you know? Explain.
Answers
Pedro has $13.65 in his wallet left.
How to find money in Pedro's wallet?Pedro had $14.90 in his wallet.
He spent $1.25 on a drink.
How much does he have left: 14+90 - 1.25 = 13.65
Pedro has $13.65 in his wallet left.
The difference is $1.95.
Problem solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.
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Based on the above chart, which service profession would you choose to enter into if you wanted to ensure that you would have the larg
increase in wages and job availability?
Chart 4. Numeric change in wage and salary employment, service-
providing industry divisions, 1996-2006
A Information
B Financial activities
C Education and health services
D Professional and Business services
Answers
Answer:
Education and health services
Step-by-step explanation:
It has had the most increase over the years, so it will most likely keep increasing and let you get more wages and job opportunities.
1
A football team has a net yardage of -31 yards on a series of plays. The team needs a net yardage of 30
3
yards to get a first down. How many yards do they have to get on their next play to get a first down?
On their next play the team needs to get
yards to get a first down.
Answers
Answer:
Please select all of the things below that were the main issues the Anti Federalists
had with the US Constitution.
Select 3 correct answer(s)
A-They felt that the states did nothing to protect peoples' rights
B-They felt that the state had too much power
C-Many people felt that the representatives of the convention in Philadelphia had
overstepped its authority and that the articles should have been amended
D-They were concerned in giving the national government more power
E-They felt that the Constitution did nothing to protect the peoples' rights
Please hurry I’m soo stressed!!!!!!!
Step-by-step explanation:
1 Which of these objects are made from magnetic materials?
a copper pipe
b plastic paper clip
c steel nail
d glass bottle
e iron bar
g nickel coins
frubber tyre
[tex]\displaystyle \text{Find the summation given that } f(x) = x^3 \text{ and } \triangle x_i = 2 + \frac{i}{4}. \\ \\\[ \sum_{i = 1}^{4} x^3 \times \triangle x[/tex]
Answers
Answer:
Click the picture and u will see the answer.
#CarryOnLearning
The summation of the given function from 1 to 4 is 10.5x³.
The given parameters:
[tex]\Sigma \ x^3 \times \Delta x, \ \ \ \Delta x = 2 + \frac{i}{4} \\\\[/tex]
The summation of the given function from i = 1, to i = 4, is calculated as follows;
[tex]\Sigma \ x^3 \times \Delta x = x ^3 (2 + \frac{1}{4} ) + x ^3 (2 + \frac{2}{4} ) + x ^3 (2 + \frac{3}{4} ) + x ^3 (2 + \frac{4}{4} )\\\\= x^3(10\frac{1}{2} )\\\\=\frac{21}{2} x^3\\\\= 10.5x^3[/tex]
Thus, the summation of the given function from 1 to 4 is 10.5x³.
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Justin is making cookies, using a recipe in which the ratio
of flour to chocolate chips to sugar is 4: 2: 1 for each
batch.
a. If he is using 8 cups of flour how many cups of sugar
does he need?
b. To make 3 batches of cookies, what is the ratio of flour
to chocolate chips to sugar?
Answers
Answer:
Part A - he will need 2 cups of sugar
Part B - 12 : 6 : 3
Step-by-step explanation:
Part A :
8 divided by 4 is 2
Part B :
Multiply all the numbers by 3
Hope this helped! :)
A sweatshirt was on sale for 32% off and cost $40.80 without tax. What was the original price of the sweatshirt?
Answers
Answer:
The original price of the sweatshirt was $127.50
Step-by-step explanation:
$40.80 / .32(32%) = $127.50
given that a/b = 2/3 and b/c = 3/7 find A:B:C
Answers
Answer:
2:3:7
Step-by-step explanation:
a/b = 2/3
That gives us a clue that a=2 and b=3
But to make sure it states b/c = 3/7
So A:B:C is
2:3:7
Hope this helps!
PLS HELP!!!
Express each of these numbers, as a product of two fractions
1/15
Answers
[tex]\dfrac 13 \times \dfrac 15 = \dfrac 1{15}[/tex]
The product of the two fraction numbers whose result is 1/15 will be 1/3 and 1/5.
What is Algebra?Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.
The result of the product of the two fraction numbers is given below.
1/15
The factor of the number 15 is given as,
15 = 3 x 5
Then the expression is written as,
1/15 = 1/ (3 x 5)
1/15 = (1/3) x (1/5)
The multiplication of the two rational numbers whose result is 1/15 will be 1/3 and 1/5.
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Help help help help
Answers
Answer:
-1
Step-by-step explanation:
y = 30.078(1.003)*.
Question 1
? Question
Use the exponential model to make predictions about closing prices of this stock. Remember that x
represents the number of weeks since the first data point, so the value of x today would be 260.
Type the correct answer in each box. If necessary, round the answers to the nearest cent.
One week from today, the stock is predicted to close at $
One month from today, the stock is predicted to close at $
One year from today, the stock is predicted to close at $
Answers
Using the exponential function, it is found that:
One week from today, the stock is predicted to close at $65,734.37.One month from today, the stock is predicted to close at $66,327.75.One year from today, the stock is predicted to close at $76,584.35.The exponential function is:
[tex]y(x) = 30078(1.003)^x[/tex]
x represents the number of weeks since the first data point, so the value of x today would be 260.Hence, considering today as an starting point, the function is:
[tex]y(x) = 30078(1.003)^{x + 260}[/tex]
One week from now, we have y(1), hence:
[tex]y(1) = 30078(1.003)^{1 + 260} = 65734.37[/tex]
One week from today, the stock is predicted to close at $65,734.37.
One month from now, we have y(4), hence:
[tex]y(4) = 30078(1.003)^{4 + 260} = 66327.75[/tex]
One month from today, the stock is predicted to close at $66,327.75.
One year from now, we have y(52), hence:
[tex]y(52) = 30078(1.003)^{52 + 260} = 76584.35[/tex]
One year from today, the stock is predicted to close at $76,584.35.
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Answer:
One week from today, the stock is predicted to close at $65,734.37.
One month from today, the stock is predicted to close at $66,327.75.
One year from today, the stock is predicted to close at $76,584.35.
Step-by-step explanation:
find the value of x
Answers
[tex]\large\huge\green{\sf{Answer:-}}[/tex]
<AEC =X°
first draw line passing with Eand then ,now<EAB = 116°
the by (consecutive)
180 = <EAB + <1
<1 = (180 - 116 )
<1=. 64°
now second step,<ECD = 124°
then ,180 = <ECD + <2
<2= (180 - 124)
<2= 56°
= Now add <1 + <2
= (64+ 56)°
➡x° = 120°
Answer:
Solution given:
Construction:
EF parallel to AB and CD is drawn.
let suppose <AEF=a
and
<CEF=b
now
<EAB+<EAB=180°[being co interior angle]
116°+a=180°
a=180°-116°=64°
again
<DCE +<CEF=[being co interior angle]
124°+b=180°
b=180°-124°
b=56°
Now
we know
x=a+b=64°+56°=120°
Value of x is 120°
The cost C in dollars of producing a certain item is represented by the equation C = n/2+ 20. where n
represents the number of items produced. The revenue R, in dollars, from selling n items is represented by
the equation R=2n+ 5. For what value of n are the cost and revenue equal?
O 5
O 10
O 15
0 20
Answers
Considering the definition of equation, for a value of n of 10 the cost and revenue are equal.
What is equationA first degree equation is a mathematical equality with one or more unknowns.
Solving an equation consists of finding the value that the unknown must take so that equality is fulfilled.
The steps to solve an equation are as follows:
Group similar terms. That is, proceed to pass the terms containing variables from one side of the expression and the constants from the other side of the expression.Finally, the unknown is solved.Value of nThe cost C in dollars of producing a certain item is represented by the equation C = [tex]\frac{n}{2}[/tex]+ 20, where n represents the number of items produced.
The revenue R, in dollars, from selling n items is represented by the equation R=2n+ 5.
The cost and revenue are equal. Then:
[tex]\frac{n}{2}[/tex]+ 20= 2n+ 5
Solving:
When a term passes to the other side of equality, its sign changes (if it is positive it becomes negative and vice versa):
20 -5= 2n - [tex]\frac{n}{2}[/tex]
15= [tex]\frac{3}{2}n[/tex]
The X is cleared. Since the term in front of it is multiplying, it goes to the other side of the equation by dividing.
15 ÷[tex]\frac{3}{2}[/tex]= n
10= n
Finally, for a value of n of 10 the cost and revenue are equal.
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PLS SOMEONE HELP ME PLS WITH GEOMETRY
Answers
Answer:
They are congruent by SAS
Step-by-step explanation:
MQ=PN
The angles with markings also go together
The line right in the middle is the second side because of the reflexive property