Answer:
The equation [tex]x^2 + 6x -5 = 4x^2[/tex] have 2 non-real solution, 2 imaginary solutions.
Step-by-step explanation:
Using the Discriminant to find the number and type of solutions to [tex]x^2 + 6x -5 = 4x^2\\x^2-4x^2+6x-5=0\\-3x^2+6x-5=0[/tex]
The discriminant is: [tex]b^2-4ac[/tex]
We have a = -3, b=6 and c=-5
Putting values and finding discriminant
[tex]b^2-4ac\\=(6)^2-4(-3)(-5)\\=36-60\\=-24\\[/tex]
So, we get discriminant = -24
if discriminant < 0 the solution will have two non-real imaginary solutions.
In our case discriminant < 0 i,e discriminant = -24
So, The equation [tex]x^2 + 6x -5 = 4x^2[/tex] have 2 non-real solution, 2 imaginary solutions.
Find the rate of change of the function by using two points from the table. Write in the simplest form.
x 2 4 6 8
y 5,8,11,14
Rate of change of given points is 3/2.
Given that
The values of x and y,
x values are 2, 4, 6, 8 and
y values are 5, 8, 11, 14.
To find
Rate of change = ...?
So, according to the question
we have,
The values of x = 2, 4, 6, 8
The values of y = 5, 8, 11, 14.
We know that,
Rate of change = (change in y )/(change in x)
= [tex]\frac{8-5}{4-2}[/tex]
= [tex]\frac{3}{2}[/tex]
The difference of other points are same, so the rate of change of given coordinates is 3/2.
Rate of change = 3/2
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98.37% as a decimal exsplain
Answer:
.9837
Step-by-step explanation:
to go from decimal to percentage, you would multiply by 100 or move the decimal point two to the right. so, to move from percentage to decimal, you would divide by 100 or move the decimal two to the left.
98.37% = .9837
Answer:
To convert from a percent to a decimal, you divide the percent # by 100 and take the % off. So therefore, 0.9837!!
Step-by-step explanation:
Hope this helps and please give me brainliest!!
1) 4(0.1y + 5)
2) 0.6(3h+5)
Answer:
1) 0.4y + 20
2) 1.8h + 3
Step-by-step explanation:
1) 4(0.1y + 5) = 0.4y + 20
Multiply (4) to (0.1y) and then multiply (4) to (+5).
2) 0.6(3h + 5) = 1.8h + 3
Multiply (0.6) to (3h) and then multiply (0.6) to (+5).
Simply the equation 3x+1=2x+5
Answer:4
Step-by-step explanation: 3x+1−2x=2x+5−2x
x + 1 = 5
x+1−1=5−1
x=4
Answer:
Simplifying
3x + -1 = 2x + 5
Reorder the terms:
-1 + 3x = 2x + 5
Reorder the terms:
-1 + 3x = 5 + 2x
Solving
-1 + 3x = 5 + 2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
-1 + 3x + -2x = 5 + 2x + -2x
Combine like terms: 3x + -2x = 1x
-1 + 1x = 5 + 2x + -2x
Combine like terms: 2x + -2x = 0
-1 + 1x = 5 + 0
-1 + 1x = 5
Add '1' to each side of the equation.
-1 + 1 + 1x = 5 + 1
Combine like terms: -1 + 1 = 0
0 + 1x = 5 + 1
1x = 5 + 1
Combine like terms: 5 + 1 = 6
1x = 6
Divide each side by '1'.
x = 6
Simplifying
x = 6
Answer is 6
I will give brainlist! I promise!
Answer:
Picture A: statement c is incorrect. It should be: The scale factor used was 0.4.
Picture B: statement B is incorrect. It should be: Line KL corresponds with line FG.
Second pic:
Amos was correct
Tash was correct
Both were correct
Step-by-step explanation:
(NEED HELP)
You buy a cell phone for $95.The sales tax is 6.25%. How much do you pay in all?
Answer:
This is an percentage change question. By any chance if you have an maths textbook, look for units that contains the topic: Percentage Change
Step-by-step explanation:
$95 x 6.25% = 5.9375
So, 95 + 5.9375 = ($) 100.9375 (Answer)
Or ($) 100.1 (Rounded Answer) (1 decimal place)
Stay safe and Merry Christmas! :)
What is (6×5-6) +56
Answer:
(6x5 -6) +56
(30-6) +56
24+56
80
Step-by-step explanation:
Pwease help its just easy math
Answer:
its divided into sixths
Technology required. Priya starts with $50 in her bank account. She then deposits $20 each week for 12 weeks.
a. Write an equation that represents the relationship between the dollar amount in her bank account and the number of weeks of saving.
b. Graph your equation using graphing technology. Mark the point on the graph that represents the amount after 3 weeks.
c. How many weeks does it take her to have $250 in her bank account? Mark this point on the graph.
The given problem is about a person named Priya who started with $50 in her bank account and deposited $20 each week for 12 weeks. We need to find out after how many weeks she will have $250 in her bank account and also plot the given data on a graph, given that technology is required.Let's solve the given problem step by step:a) We can represent Priya's bank account after n weeks as follows:$50 + $20n
This is because she started with $50 and deposited $20 each week for n weeks.Now, to graph this equation, we can use any graphing calculator or software.
For example, we can use the Desmos Graphing Calculator, which is free and available online.To plot the given data, we need to set the domain as {0, 1, 2, 3, ..., 12} (for 12 weeks), and the range as {50, 70, 90, 110, ..., 290} (according to the equation). Then we can plot the points as follows:
After plotting the points, we can connect them with a straight line to get the graph of the equation.$$$$b)
To mark the point that represents the amount after 3 weeks, we need to find the value of the equation for n = 3, which is:$50 + $20(3) = $110This means that after 3 weeks, Priya will have $110 in her bank account.
We can mark this point on the graph as follows:$$$$$c) To find out after how many weeks Priya will have $250 in her bank account, we need to solve the following equation:$50 + $20n = $250Subtracting $50 from both sides, we get:$20n = $200Dividing both sides by $20, we get:n = 10
This means that after 10 weeks, Priya will have $250 in her bank account. We can mark this point on the graph as follows:$$$$$Therefore,
we can conclude that it will take Priya 10 weeks to have $250 in her bank account, and we can represent this data on a graph using graphing technology.
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[a] Answer: y = 20x + 50
Step-by-step explanation:
We can write a linear equation to answer this part. Priya starts with $50 and adds $20 every week. Let y be the total amount of money in the bank account and x be the number of weeks passed. We will write a slope-intercept equation, where 20 is the slope and 50 is the y-intercept.
y = 20x + 50
[b] Answer: (3, 110)
Step-by-step explanation:
Next, we will use a graphing calculator as asked. Here I am using Desmos Graphing Calculator, it is free to use and online. We can type in our equation above, y = 20x + 50. See attached. Since she will not have negative weeks that she deposits, and she only deposits for 12 weeks, we will add {0 ≤ x ≤ 12} to our equation when we graph.
Since x is the number of weeks passed, 20(3) + 50 = 110, giving is the point (3, 110).
[c] Answer: 10 weeks
Step-by-step explanation:
Now, we need to find the point where she has $250 in her bank account. Since y is the total amount of money in her bank account, we can find where y = 250 on the graph.
This is at (10, 250), or 10 weeks.
What is the value of x? 2/3(x-6)=6
Answer: x=15
Step-by-step explanation: THIS IS THE CORRECT ANSWER
Mrs. Alvarez paid $28.50 for a flower arrangement she ordered. She paid a fee of $10.50 for delivery and $1.50 per flower. Which equation can be used to find f, the number of flowers she had in the arrangement?
Answer:
1.5f + 10 = 28.5
Step-by-step explanation:
Answer:
12 i think
Step-by-step explanation:
28.50-10.50=18
18 divided by 1.50= 12
Which graph represents y = StartRoot x EndRoot?
Answer:
b
Step-by-step explanation:
e2021
Answer:
Which graph represents y = [tex]\sqrt{x}[/tex]
Step-by-step explanation:
Answer B Edge 2022
Whats the answer marking brainliest:D
it is subtracing and adding linear expressions 12(−4x+8)−14(8x−12)
Answer:
Step-by-step explanation:
Was this a question or a answer because I will answer it in the comment if it is a question
please help what’s the domain and range
Answer & Step-by-step explanation:
The domain is the x values and the range is the y values.
Domain:
Note the lowest x values the line includes. Although it starts at x=2, it curves back to x=1 and then curves past 1. Therefore:
[tex]domain:x\geq 1[/tex]
x is greater than or equal to 1.
Range:
Find the lowest y value that is included in the line. Since the line starts at y=-1 and only moves upward after then:
[tex]range:y\geq -1[/tex]
the y values are greater than or equal to -1.
:Done
Write a compound inequality for the following graph.
Answer:
[tex]x = 0 \leqslant 0.25[/tex]
What would F^-1(-2) equal
Answer:
I hope this helps:)
Step-by-step explanation:
Rewrite the expression 18 with an
exponent.
A fisherman can row upstream at 4 mph and downstream at 6 mph. He started rowing upstream until he got tired and then rowed downstream to his starting point. How far did the fisherman row if the entire trip took 2 hours?
HELP!!!! WILL MARK BRAINLIEST!!!!
Answer:
Slope= average rate of change = rise over run
Step-by-step explanation:
Answer: A
|x + 8| = |2x + 1| Pls answer.....
help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
the $25 one
Step-by-step explanation:
70% of 30 is 21, so you will be paying $9.
But if you use the $25 one you will only be paying $5.
Hope this helps!! :)
Answer:
$25 coupon would be a better deal.
Step-by-step explanation:
30 * 0.70 = 21
70% of $30 is $21
So the $25 coupon will help save more money.
What is the equation of the line that is parallel to the
given line and passes through the point (12, -2)?
O y=-x + 10
O y=-x + 12
O y=-x-10
y = 2 x - 12
Answer:2,-12
Step-by-step explanation:
For all values of x,
f(x) = x/5 + 3
and
g(x) = 10x2 + 5
Work out fg(x).
Give your answer in the form ax2 + b where a and b are integers.
Answer:
2[tex]x^{2}[/tex]+4
I would give a step by step explanation but it keeps saying I'm typing inappropriate words so message me if u need
Hence, The value of fg(x) in the form of ax2+b is 2x2+4.
What is composition of functions?Composition of function is an operation in which we combine two or more function to generate a single function. In this question the function g is places in the place of x.
How to solve?
Given f(x)=x/5 +3
g(x)=10[tex]x^{2}[/tex] + 5
the composition of function ,
fg(x) = g(x)/5 + 3
fg(x) = (10[tex]x^{2}[/tex] + 5)/5 + 3
= 2[tex]x^{2}[/tex]+ 1 + 3
= 2[tex]x^{2}[/tex] + 4
hence, fg(x)= 2[tex]x^{2}[/tex]+4 where a=2 and b=4
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Can someone help me plz I will mark brainliest
Answer:
1 solution
Step-by-step explanation:
There is exactly one solution because when both lines are graphed, they intersect at only one point, (1.5,-1).
Answer:
Either no solutions or infinite..
Step-by-step explanation:
I am not exactly sure, but I am taking a guess. IF this equation requires a definite answer, then no solutions. Otherwise, if x or y can equal to any number, then, infinite numbers. I would recommend to look at what other people say before reading this and taking a guess.
There are about 3×10power 11 stars in our galaxy and about 100 billion galaxies in the observable universe. Suppose every galaxy has as many stars as ours. How many stars are in the observable universe? Write in scientific notation.
Cora is building towers of two different sizes using prism- and pyramid-shaped blocks. The diagram shows the ratio of prisms and pyramids in each tower.The table shows the number of prisms and the number of total blocks that Cora will use on each of her towers.
Based on the ratio, complete the missing values in the table.
Tower Prisms Total blocks
A 16
B
35
PLEASE HELP ME
Here is the completed table:
Tower Prisms Total blocks
A 16 20
B 28 35
What are the number of blocks?
Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained within other value(s).
Ratio of prism shaped blocks to pyramid shaped blocks = number of prism shaped blocks : number of pyramid shaped blocks
4 : 1
Number of pyramid blocks when there are 16 prism shaped blocks : 16 / 4 = 4
Total number of blocks : 4 + 16 = 20 blocks
Number of prism blocks when there are 35 blocks : (ratio of prism blocks /sum of ratios) x total number of blocks
(4/5) x 35 = 28 blocks
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Any tv recommendations..........?
Answer:
I would recommend a Samsung TV but that is just what I think oh nvm a TV show um Big mouth on Netflix
Simplify the expression:
6u - 5u - u
Answer:
Your correct answer is ZERO.
Step-by-step explanation:
6u - 5u = u
u - u = 0
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Anyone it is almost due help
Answer: I not super sure, but I think you are supposed to put the equations on each side of the table. Your end result should be 2x to the second -5x-3.
Step-by-step explanation: