Answer:
y = - 2 or y = 6
Step-by-step explanation:
Given the 2 equations
y = 2x → (1)
y = x² - 3 → (2)
Substitute y = x² - 3 into (1)
x² - 3 = 2x ( subtract 2x from both sides )
x² - 2x - 3 = 0 ← in standard form
(x - 3)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x + 1 = 0 ⇒ x = - 1
Substitute these values into (1) for corresponding values of y
x = 3 : y = 2 × 3 = 6
x = - 1 : y = 2 × - 1 = - 2
Please help! f(x)=3x-8 ; {-2,-1,0,1,2}
What is the range?
A: {-15,-11,-8,-5,-1}
B: {-14,-10,-9,-4,-2}
C: {-14,-11,-8,-5,-2}
D: {-14,-10,-8,-4,-2}
Giving brainliest to whoever answers correctly!
The correct answer is (C) !
When you change the value of x, the result changes by 3 each time.
I think the answer is c
Find the distance between the two points. (-2,-4), (4,1)
61
11
Square Root 61
Square root 22
What is £21,000 split at a ratio of 2:5
Answer:
£6,000 and £15,000.
Step-by-step explanation:
This split works out to 2 fractions: 2 / (2 + 5) = 2/7 and 5/(2+5) = 5/7.
So the required amounts are £21,000 * 2/7 = £6,000 and 5/7 * 21,000
= £15,000.
PLZ HURRY IT'S URGENT!!!!!
What ratio is equivalent to 14/21?
A. 2/3 B. 1/7 C. 3/4 D. 2/7
Answer:
A. 2/3
Step-by-step explanation:
What you do is you reduce the fraction 14/21 to get 2/3 as your answer.
Answer:
A:2/3
Step-by-step explanation:
Since 14/21 simplifies to 2/3,14/27=2/3For anymore help= @ntarv1234 on brainlyWhat is the value of c in the equation below?
Answer:
1/4
Step-by-step explanation:
Let's find the value of c.
1 2^2 1
2^(-4)*2^2 = c = --------- * -------- = -------- = 1/4
2^4 1 2^2
this result matches the fourth given possible answer choice.
For this case we have that by definition of power properties:
[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]
We have the following expression:
[tex]2 ^ {- 4} * 2 ^ 2 = a ^ b = c[/tex]
It can be rewritten as:
[tex]\frac {2 ^ 2} {2 ^ 4}[/tex]
By definition of power properties we have:
[tex]\frac {a ^ m} {a ^ n} = a ^ {m-n}[/tex]
So:
[tex]\frac {2 ^ 2} {2 ^ 4} = 2 ^ {2-4} = 2 ^ {- 2} = \frac {1} {2 ^ 2} = \frac {1} {4}[/tex]
Thus, [tex]c = \frac {1} {4}[/tex]
Answer:
Option D
Help please I’ll give you the brainliest
not to sure on how to tell you to answer this one but it looks like 4 inches :)
find the vertex for this function. f(x)=-2x^2+8x-11
[tex]\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ f(x)=\stackrel{\stackrel{a}{\downarrow }}{-2}x^2\stackrel{\stackrel{b}{\downarrow }}{+8}x\stackrel{\stackrel{c}{\downarrow }}{-11} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left( -\cfrac{8}{2(-2)}~~,~~-11-\cfrac{8^2}{4(-2)} \right)\implies \left( 2~~,~~-11+\cfrac{64}{8} \right) \\\\\\ (2~~,~~-11+8)\implies (2~~,~~-3)[/tex]
select each type of line of symmetry that the following figure has, if any.
• vertical
•horizontal
•diagonal
•none
Answer: Vertical symmetry
Step-by-step explanation: A vertical line divides the image into two halves. But it cannot be divided horizontally or diagonally so it is vertical symmetry.
What is the value of 9 2/3 - 4 1/5 ?
[tex]\bold{Hey\ there!}\\ \\ \bold{9\frac{2}{3}=9\times3+2=27+2=29\rightarrow\frac{29}{3}}\\ \\ \bold{4\frac{1}{5}=4\times5+1=20+1=21\rightarrow \frac{21}{5}} \\ \\ \\ \bold{\bullet \ \frac{29}{3}- \frac{21}{5}} \\ \bold{\bullet \ 3\times5=15}\\ \bold{\bullet \ \frac{15\times0+82}{15}= 15\times0=0\rightarrow 0+82=82} \\ \bold{\bullet\ \boxed{\boxed{\bold{Answer:\frac{82}{15}\ \underline{or} \ 5\frac{7}{15}}}}}[/tex] [tex]\checkmark[/tex]
[tex]\bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!} \\ \\ \\ \\ \frak{LoveYourselfFirst:)}[/tex]
The value of 9 2/3-4 1/5 number is 5 7/15 .
To find the value of 9 2/3 - 4 1/5, we first need to convert each mixed number into an improper fraction. For 9 2/3, the improper fraction is (9 × 3 + 2)/3 = 29/3. For 4 1/5, the improper fraction is (4 × 5 + 1)/5 = 21/5.
Next, we need to find a common denominator to subtract these fractions. The least common multiple of 3 and 5 is 15, so we convert each fraction to have this common denominator. The first fraction becomes (29/3) × (5/5) = 145/15, and the second fraction becomes (21/5) × (3/3) = 63/15.
Now we can subtract the second fraction from the first: 145/15 - 63/15 = (145 - 63)/15 = 82/15. To convert this back into a mixed number, we divide 82 by 15 to get 5 with a remainder of 7, so the mixed number is 5 7/15.
Therefore, the answer is 5 7/15.
How do I find the radius of a circle
Answer: 17
Step-by-step explanation: To find the radius of Q, you'd have to solve for x. So, 4x+3=7x-6, which results in x equaling 3. Next, bisect the chord EF, so it will be 8. Solve for QA, which is 15 and use the pythagorean theorem to solve: x^2=15^2+8^2 -> x=17
the diameter of a single human hair is .000025 meters. rewrite this number in scientific notation.
blank x 10 ^(blank) meters
Answer:
2.5 * 10^-5
Step-by-step explanation:
2.5 * 10^-5
If the number is between 1 and -1 excluding 0. Then
count the number of zeros
add 1 more
write the notation of where you put the decimal place
The power is minus and equal to the number of zeros + 1
0.000025
zeros: the number of zeros = 4
Add 1: 4 + 1 = 5
Decimal goes between the 2 and the 5
2.5
Power: = - 5
Answer: 2.5 * 10^-5
If f(x) = 5x + 4, which of the following is the inverse of f(x)?
set f(x) equal to y
y = 5x + 4
swap x and y
x = 5y + 4
make y the subject
x - 4 = 5y
[tex]y = \frac{x - 4}{5} [/tex]
replace y with f^-1(x)
[tex]f(x) = \frac{x - 4}{5} [/tex]
Connor is earning money by mowing lawns over the summer. The amount of profit he makes from mowing x lawns is modeled by the function p(x)=20x-75. What is the most appropriate domain of the function? A. All rational numbers B.all non-negative rational numbers c. All integers d. All non-negative integers
Answer:
Try D
Step-by-step explanation:
The numbers should always be whole, and if you're profiting, you'll never lose money. It should always be a positive number. Hopefully this helps! Good luck
Profit function have domain as set of all non-negative number thus domain of the profit function p(x)=20x-75 will be all non-negative integers so option (D) will be correct.
What is the range and domain of a function?A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.
The domain is for the independent variable while the range is for the dependent variable.
Given the profit function,
p(x)=20x-75
The graph of this function has been shown below which is representing the domain as (∞,∞) but in the our profit function x is the number of lawns that mowing so it will be a whole number and positive number.
Since domain is the set of all x's value thus it will be domain of the function.
Domian → [0,∞).
Hence "Domain of the profit function p(x)=20x-75 will be all non-negative".
For more details about the range and domain of the function,
brainly.com/question/28135761
#SPJ2
Which fraction is less than 5/8
Answer:
one-half, 3/8, 1/4, 1/8.
Step-by-step explanation:
Fraction 3/8 is less than 5/8.
If we choose the numerator less than 5 and keep the denominator same, then we will get a fraction less than 5/8.
Lets choose 3, which is less than 5.
So the fraction 3/8 is less than 5/8.
Learn more: https://brainly.com/question/10241002
find the approximate value of b in the triangle shown.
13
12
8
5
Answer:
The answer is D. 5
Step-by-step explanation:
Answer:
The side b is 5 units
Step-by-step explanation:
Given the two sides of triangle and one angle of triangle we have to find the remaining side of triangle.
a=12 units
c=10 units
∠B=24°
we have to find the side b of triangle ABC
By cosine law,
[tex]\cos B=\frac{a^2+c^2-b^2}{2ac}[/tex]
[tex]\cos 24^{\circ}=\frac{12^2+10^2-b^2}{2(12)(10)}=\frac{144+100-b^2}{240}[/tex]
[tex]b^2=244-240\cos 24^{\circ}=24.7490901658[/tex]
[tex]b=4.97\sim 5units[/tex]
If the interest earned is $25 and the principal is $500 and the interest rate is 5%, what is the time?
Formula = simple interest= principal times annual interest rate times the time in years
To find out how long it takes to earn $25 in interest on a principal of $500 at a 5% annual interest rate, use the simple interest formula. The calculation reveals it takes 1 year.
Explanation:The question asks us to determine the time it takes to earn $25 in interest on a principal of $500 at an annual interest rate of 5% using simple interest. The formula for simple interest is Interest = Principal × Rate × Time. We can rearrange this formula to solve for time (Time = Interest / (Principal × Rate)).
Given that the interest earned is $25, the principal is $500, and the rate is 5% (0.05 in decimal form), we substitute these values into our rearranged formula to find the time.
Interest = $25Principal = $500Rate = 5% or 0.05Substituting these into the formula gives us:
Time = $25 / ($500 × 0.05) = $25 / $25 = 1 year
Therefore, it takes 1 year to earn $25 in interest at a 5% annual rate on a $500 principal using simple interest.
Describe the transformations that will map triangle A to triangle B and illustrate the similarity between the two triangles. A) rotate 90° clockwise and then translate 6 units down B) translate 4 units down and rotate 180° about the origin C) reflect the triangle across the y-axis and translate 4 units down D) reflect triangle A across the x-axis and then translate 1 unit right
B) Translate 4 units down and rotate 180°
Rule for 180° = (x, y) ---- (-x, -y)
Pick one point on Triangle A. (I picked the pointiest point)
(-5, 6)
Now translate 4 units down.
You will now be on (-5, 2)
Rotate 180°
You will now have (5, -2)
And the pointiest point on Triangle B is (5, -2)
So, B is the correct answer.
Option B is correct. The required transformation that will map triangle A to triangle B and illustrate the similarity between the two triangles is translating 4 units down and rotate 180° about the origin
In order to determine the transformation that will map triangle A to B, we need to do the following:
Select any of the coordinates of the verticesUsing the coordinate point (-5, 6) on triangle AIf a coordinate (x, y) is rotated 180° about the origin, the resulting coordinate will be at (-x, -y)For the coordinate (-5, 6), rotated 180° about the origin, the resulting coordinate will be at (5, -6)If the coordinate is translated 4 units down as seen from the figure, the resulting coordinate of the vertex on triangle B will be at (5, -6+4) i.e. (5, -2)
We can see that it tallies with a similar coordinate on triangle B. Hence the required transformation that will map triangle A to triangle B and illustrate the similarity between the two triangles is translating 4 units down and rotate 180° about the origin
Learn more here: https://brainly.com/question/23306927
Since no one knows what type of rock my rock was here's some nice juicy points
Answer:
thank you
Step-by-step explanation:
Answer:
i mean its a pretty nice rock i'll give you that much lol
Step-by-step explanation:
I don’t know how to go about answering this, please help.
Answer:
the first square that equals 625 goes to the 125 box
the second square that equals 81 goes to the 243 box
the third square that equals 32 goes to the 8 box
and the fourth square that equals 64 goes to the 256 box
Hope this helped :)
Step-by-step explanation:
If the sale tax rate is 8.75% in New York State, how much sales tax would you pay for a $35 pair of pants? And at Best Buy they have a 50" TV tagged as $1250. It's on sale for 15% and sale tax is 8%. What is the final cost?
The pants are $38.06 and the television is $1,147.50.
The sales tax on the pair of pants is calculated by multiplying $35 x .0875 = $3.06
The total cost is $35 + 3.06 = $38.06.
The sales price of the television is calculated by multiplying $1,250 x .85, (100 - .15 discount = .85) = $1,062.50 is the sales price
The sales tax is calculated by multiplying $1,062.50 x .08 = $85
The total price is $85 + $1,062.50 = $1,147.50
How to solve this problem
To solve this take (83+1/3) times 10^-2 and then multiple that value by 375. The answer is 312.5
The answer is 311.25
Step-by-step explanation:Converting 83 1/3 to simple fraction we get
83 1/3 = 83
Now 83 % of 375 will be
83/100 * 375
= 311.25
An ant is 2.0x10^-2 meters long.if you put 10 million ants in a line, how long is the line ?
A.200 m
B.2,000 m
C.20,000 m
D.200,000 m
Answer:
2.0*10^5 meters
Step-by-step explanation:
To answer this question, multiply
2.0*10^(-2) meters by 10 million, that is:
2.0
------ * 10*10^6 meters
10²
This expression simplifies to:
2.0*10^5 meters (which corresponds to answer D).
An ant is 2.0x10^-2 meters long. If you put 10 million ants in a line, the total length of the line would be 200,000 meters.
An ant is 2.0x10^-2 meters long. If you put 10 million ants in a line, the total length of the line would be 200,000 meters (D).
Eight less than the product of seven x
Answer:
2x - 8
Step-by-step explanation:
Product of two and a number x
⇒ 2 multiply by x
⇒ 2x
Eight less than 2x
⇒ Take away 8 from 2x
⇒ 2x - 8
Answer:7x-8 is the answer
Hope this helps!
The axis of symmetry for this parabola
Y equals -5xsquared plus 10x-14
Answer:
X=1
Step-by-step explanation:
Solve for the vertex of the parabola: (v)
The axis of symmetry for a parabola will always be x=v.
Graphing the function shows the vertex at (1,-9) so the line denoting the axis of symmetry will be x=1.
Does anybody get this or am I the only one confused?
Answer:
Step-by-step explanation:
nah man. i dont get it either
I think all you gotta do is type the word two-way table, just like it says inside the box. But after looking at this for a while I think that the only thing you can do is that.
So I guess just type what it says inside the box
Which statement describes what these four powers have in common?
Answer:
They are all squared
Step-by-step explanation:
Answer:
All the powers have value of 0 because the exponent is zero
Step-by-step explanation:
Given the expression;
in the form 2³ ; The number 2 is called the base, and the number 3 is called the exponent. The exponent corresponds to the number of times the base is used as a factor.
In this case; All the powers have a value of Zero because the exponent of all the expressions is zero.
A rectangle has one side that measures 10 units and another side that measures 4 units.Circle the two measurement units that show the length and width of another rectangle with the same perimeter.
4 units 5units
8 units 3 units
9units 7 units
Answer:
None of the above
Step-by-step explanation:
10 + 10 + 4 + 4 = 28
First choice
4 + 4 + 5 + 5 = 18 X
Second choice
8 + 8 + 3 + 3 = 22 X
Third choice
9 + 9 + 7 + 7 = 32 X
Therefore there is none that are the same.
Answer:
None of the above.
Step-by-step explanation:
A rectangle has one side that measures = 10 units
the another side that measures = 4 units
Perimeter = 2( Length + width )
Perimeter of this rectangle = 2( 10 + 4 )
= 2(14) = 28 units
We have to find the same measurement units that shows the same perimeter.
1. 4 units 5 units
Perimeter = 2( 4 + 5 ) = 2 × 9 = 18 units
2. 8 units 3 units
Perimeter = 2( 8 + 3 ) = 2 × 11 = 22 units
3. 9 units 7 units
Perimeter = 2( 9 + 7 ) = 2 × 16 = 32 units
There are no another rectangle with the same perimeter.
Question: y=x+11
y=-x+4
Choices:
Neither
Parallel
Perpendicular
Answer:
er
Step-by-step explanation:
Which is the best estimate for the average rate of change for the quadratic function graph on the interval 0 ≤ x ≤ 4?
A) −1
B) −2
C) −3
D) −4
Answer:
-1
Step-by-step explanation:
i just got it wrong
A tug boat traveled -15 miles in 0.3 hours what was its velocity
Answer:
22.35 m/s
Step-by-step explanation:
The distance is always a positive unit, so distance traveled (d) = 15 miles
Time (t) = 0.3 hours
Time (t) = 0.3 * 60 = 18 minutes
(1 hour = 60 minutes)
Velocity (v) = ?
The formula of distance is: d = v*t
=> v = d/t = 15/18 = 0.83 miles/minute
we can also calculate velocity is meter/sec, for that
1 minute = 60 sec
=> 18 mins = 18*60 = 1080 sec
1 mile = 1609.34 meters
=> 15 miles = 15 * 1609.34 = 24,140 m
hence,
v = 24,140/1080 = 22.35 m/s