Answer:
m=-2
Step-by-step explanation:
As the product of the roots of a quadratic equation is c/a in ax^2+bx+c=0
here a=2, b=+8, c=-m^3
Given c/a=4
-m^3/2=4
-m^3=8
m^3= -8
m=-2.
simplify. multiply and remove all perfect squares from inside the square root. assume A is positive. 3 square root 5a times 8 square root 35a2
Answer:
I did this same answer on another app
hope this help☺️
Find the nth term of 4,8,14,22
Answer:
2n+2
Step-by-step explanation:
the common difference is 4,6,8
again the common difference of 4,6,8 is 2,2
hence its common difference is 2
now, nth term,=a+(n-1) *d
4+(n-1)*2
4+2n-2
2n+2
If x/y + y/x =2, Then 4x-4y-4 = ? ( Please show with full process and don't spam )
[tex]\\ \sf\longmapsto \dfrac{x}{y}+\dfrac{y}{x}=2[/tex]
[tex]\\ \sf\longmapsto \dfrac{x^2+y^2}{xy}=2[/tex]
[tex]\\ \sf\longmapsto x^2+y^2=2xy[/tex]
[tex]\\ \sf\longmapsto x^2+y^2-2xy=0[/tex]
[tex]\boxed{\sf (a-b)^2=a^2-2ab+b^2}[/tex]
[tex]\\ \sf\longmapsto (x-y)^2=0[/tex]
[tex]\\ \sf\longmapsto x-y=\sqrt{0}[/tex]
[tex]\\ \sf\longmapsto x-y=0[/tex]
Now
[tex]\\ \sf\longmapsto 4x-4y-4[/tex]
take 4common[tex]\\ \sf\longmapsto 4(x-y-4)[/tex]
Put the value[tex]\\ \sf\longmapsto 4(0-4)[/tex]
[tex]\\ \sf\longmapsto 4(-4)[/tex]
[tex]\\ \sf\longmapsto -16[/tex]
You can
Figure A to map it onto Figure Din a single transformation."
1.answers
2.rotate
3.reflect
4.translate
5.dilate
Answer: a
Step-by-step explanation:
What is the equation of the graph?
Answer:
[tex]y=2x^2+1[/tex]
Step-by-step explanation:
The general equation for a parabola in vertex form is the following:
[tex]y=a(x-h)^2+k[/tex]
Where ([tex]h,k[/tex]) is the parabola's vertex and (a) is the stretch and compression factor. As one can see in the given graph, the parabola has a vertex at (0, 1), moreover, it passes through the point (1, 3). Substitute these points into the equation for the parabole, and simplify,
[tex]y=a(x-h)^2+k[/tex]
Vertex: (0, 1)
[tex]y=a(x-0)^2+1[/tex]
A point on the parabola: (1, 3)
[tex]3=a(1-0)^2+1[/tex]
[tex]3=a1+1\\3 = a + 1\\[/tex]
Inverse operations,
[tex]3=a+1[/tex]
[tex]2 = a[/tex]
Substitute back into the original expression:
[tex]y=a(x-h)^2+k[/tex]
[tex]y=2(x-0)^2+1[/tex]
Simplify to put in standard form:
[tex]y=2(x-0)^2+1[/tex]
[tex]y=2(x)^2+1[/tex]
[tex]y=2x^2+1[/tex]
Which function best fits the following points?
A. y= -12.84032 + 0.0225x
B. y = 65.0778 × 772.9605^x
C. y = -197.0571x^2 + 245.6243x + 6.0321
D. None of the above
Given:
The graph of a scatter plot.
To find:
The function that best fits the given points.
Solution:
From the given graph it is clear that the linear function is the best fit for the given points because the points lie on a straight line or near to it.
So, options B and C are incorrect because they represent exponential and quadratic function respectively.
Let as assume the two points on the graph are (0.80,-12.82) and (2,-12.79).
Using this two points, the equation of line is:
[tex]y-(-12.82)=\dfrac{-12.79-(-12.82)}{2-0.80}(x-0.80)[/tex]
[tex]y+12.82=\dfrac{-12.79+12.82}{2-0.80}(x-0.80)[/tex]
[tex]y+12.82=0.025(x-0.80)[/tex]
[tex]y+12.82=0.025x-0.02[/tex]
[tex]y=0.025x-0.02-12.82[/tex]
[tex]y=0.025x-12.84[/tex]
[tex]y=-12.84+0.025x[/tex]
It is the approximate function to the function that is in option A.
Therefore, the correct option is A.
100 divided by 3.2 Thank u
Answer:
31.25
Step-by-step explanation:
125/4
= 31.25
Which expression is equivalent to 2(14x-3y+28+12.2-5y-17.5)
Answer:
28x-16y+45.4
Step-by-step explanation:
Add up all the variables inside the bracket by first grouping like terms
Then, multiply through by 2 ✅✅
x + x(x + y) + y; use x = 4, and y = 1
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{x + x(x + y) + y}[/tex]
[tex]\huge\text{= 4 + 4(4 + 1) + 1}[/tex]
[tex]\huge\text{= 4 + 4(5) + 1}[/tex]
[tex]\huge\text{= 4 + 20 + 1}[/tex]
[tex]\huge\text{= 24 + 1}[/tex]
[tex]\huge\text{= 25}[/tex]
[tex]\huge\boxed{\textsf{Therefore, your answer is: 25}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
Hi,
we need to substitute 4 and 1 in the equation, so for every y, we replace it with a 1 and every X with 4 as X= 4, Y = 1
equation: X + X (X + Y) + Y
equation after substituting the numbers: 1 + 1 (1 + 4) + 1
Bidmas rules apply.
expand the bracket first. 1 (1 + 4)=
1 X 1= 1
1 X 4= 4
1 + 4 = 5
then the equation becomes: 1 + 5 + 1= 7
your answer is 7 if you want to evaluate it.
your answer is 1 + 1 (1 + 4) + 1 if you need the equation.
, hope that helps :)
Use substitution to solve the following system of equations. What is the value of y?
Answer:
y = 6Step-by-step explanation:
Use the second equation:
2x - y = 2 ⇒ y = 2x - 2Substitute this into first equation:
3x + 4(2x - 2) = 363x + 8x - 8 = 3611x = 44x = 4Now find y:
y = 2*4 - 2 y = 8 - 2y = 6It is given that,
→ 2x - y = 2
Convert the equation as,
→ y = 2x - 2
First we should,
find the required value of x.
→ 3x + 4(2x - 2) = 36
→ 3x + 8x - 8 = 36
→ 11x = 44
→ [x = 4]
Let's find the required value of y,
→ y = 2x - 2
→ y = (2 × 4) - 2
→ y = 8 - 2
→ [y = 6]
Therefore, the value of y is 6.
A ski instructor earns $997.50 for a 35-hour week. What is her hourly rate of pay?
Answer:
$28.5
Step-by-step explanation:
At a tanning salon, customers are charged \$10 for their first visit in a calendar month and \$6 for each visit after that in the same calendar month. In the last calendar month, 100 customers visited the salon, of which 30 made a second visit, and 10 made a third visit. All other customers made only one visit. If those visits were the only source of revenue for the salon, what was the revenue for the last calendar month at the salon
Answer:
The salon would've made $1,240.
Step-by-step explanation:
Think of the customers as the numbers and the visits as variables. Then the equation would look something like this:
Revenue = 100(first visit) + 30(second visit) + 10(third visit)
And now, we just solve:
r = 100(10) + 30(6) + 10(6)
r = 1,000 + 180 + 60
r = $1,240
Mark all the statements that are true please help
Step-by-step explanation:
the correct answer is option c
[tex]\sqrt{x^{2} +5x+3} +2x^{2} +10x-15=0[/tex]
please mark this answer as brainlist
I need help ASAP!! Please help me
Answer:
Step-by-step explanation:
Answer:
angle 1 = 80
angle 2 = 80
Step-by-step explanation:
in rhombus all sides are equal and also diagonals bisects each other
so
Write the phrase as a variable expression. Use x to represent "a number."
5) The quotient of a number and 9, decreased by 4
Answer:
a/9 - 4
Step-by-step explanation:
The expression will be (x/9) - 4.
It is given that a number x is the quotient of a number and 9 decreased by 4.
We have to find the variable expression for this.
What will be the expression for , 2 times of a number minus 4 ?
The expression will be 2x -4.
Quotient of a number and 9
= x / 9
Decrease this by 4 ; we get
= (x / 9 ) - 4
Thus , the expression will be (x/9) - 4.
To learn more about algebraic expression click here ;
https://brainly.com/question/2164351
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Finance A bicycle shop hires road bikes for £25 per day and tandems for £40 per day. One day a family pays £155.
a Which type of bicycles did they hire?
b How many people are in the family?
Answer:
3 road bikes and 2 tandems
7 people
Step-by-step explanation:
25b + 40t = 155
b=3 and t = 2
Check
25*3 + 40*2 = 155
75+80 = 155
Assuming 1 person per road bike and 2 people per tandem
3*1 + 2*2 = 3+4 = 7
HURRY PLEASEEEEE!!!!!!
Juan scored 24 points in the first half of the basketball game, and he scored p points in the second half of the game. Write this in variable/constant form.
Answer:
24+p=t
Step-by-step explanation:
If he scored 24 points in the first half, and p in the next half, he scored a total of t points.
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x=3
Step-by-step explanation:
I suggest getting this app called photo math, it will help you soo much.
Answer:
x = 3
Step-by-step explanation:
4 (x - 1 ) + 4x -1 = 19
solve the brackets first
4x - 4 + 4x -1 = 19
4x + 4x -4 -1 = 19
8x -5 = 19
8x = 19+5
8x = 24
x = 24/8
x = 3
If two functions, f(x) and g(x), are inverse of each other, then the:
(select all that apply)
- range of f(x) is the same as the domain of g(x)
-domain of f(x) is the same as the domain of g(x)
-domain of f(x) is the same as the range of g(x)
- range of f(x) is the same as the range of g(x)
Answer: assuming g(x) is the inverse of f(x)
domain of g(x) = range of f(x)
range of g(x) = domain of f(x)
HELPPP
Solve: r = -5 + 19. r =____?
-24
14
-14
24
Answer:
14
Step-by-step explanation:
19 - 5 = 14
Solve by factoring
6x^2 +13x -28 =0
Answer:
x=-7/2, x=4/3
Step-by-step explanation:
[tex]6x^2+13x-28=0[/tex]
Multiply 6 and -28 to get -168
Find 2 numbers that multiply to 168 but add to 13
They are 21 & -8
Rewrite the equation into:
[tex]6x^2+21x-8x-28=0[/tex]
Factor
[tex]3x(2x+7)-4(2x+7)=0[/tex]
(3x-4)(2x+7)=0
3x=4
x=4/3
2x=-7
x=-7/2
Find the value of x.
Round to the nearest tenth.
Х
120°
10
x = [?]
Answer:
X is 11.8
Step-by-step explanation:
You already have the formula so just put in the values and rearrange to get the answer. c is what you are looking for so that is x. a can be 3 and b is 10. CosC is Cos(120) the rest work it out on calculator.
I just need to find that last box guys please help me solve this
Answer:
Step-by-step explanation:
y = 600 * (1.04)¹⁵
= 600 * 1.80094351
= $ 1080.57
What is the equation of the line?
An equation is shown below: 6(2x – 11) + 15 = 3x + 12 Part A: Write the steps you will use to solve the equation, and explain each step. (6 points) Part B: What value of x makes the equation true? (4 points)
Answer: x = 7
Step-by-step explanation:
6(2x-11)+15=3x+12
1) Distribute 6 (distributive-property)
12x - 66 + 15 = 3x + 12
12x - 51 = 3x + 12
Subtract 12 from both sides; what ever you do to one side, you need to do to ther other.
12x - 63 = 3x
Subtract 3x from both sides.
9x - 63 = 0
Add 63 to both sides.
9x = 63
Divide by 9 to getx by itself.
63/9 = 7
x = 7
How to do these two questions?
Answer:
C
A
Step-by-step explanation:
adjacent means neighboring, right next to it. that would be 1 and 4.
supplementary means being a complementary, an additional angle, so that in sum both angles together have 180 degrees. and that is only 1.
so, C is the answer.
angle 7 = 115 degrees.
so, angle 8 is supplementary to angle 7.
they are being mirrored on the other side of the line.
so, angle 6 = angle 7, and angle 5 = angle 8.
and the same quadruple of angles have to appear, where the crossing line crosses another, parallel line. they have to be the same angles there again.
so, angle 3 = angle 7, angle 4 = angle 8, angle 1 = angle 5, angle 2 = angle 6.
and because angle 6 is also = angle 7, we have angle 2 = angle 7 = 115 degrees.
Answer:
C and A
Step-by-step explanation:
∠ 5 and ∠ 1 are adjacent ( next to each other) on the same line
The angles on a straight line sum to 180° ( supplementary )
Then ∠ 1 is adjacent and supplementary to ∠ 5 → C
----------------------------------------------------------------------------
∠ 2 and ∠ 7 are alternate exterior angles and are congruent , then
∠ 2 = ∠ 7 = 115° → A
I need help ASAP!!! Please explain how to solve the problem I am stuck with.
Answer:
Step-by-step explanation:
The least-squares regression method is: Multiple Choice A graphical method to identify cost behavior. An algebraic method to identify cost behavior. A statistical method to identify cost behavior. The only identify cost estimation method allowed by GAAP. A cost estimation method that only uses the two extreme values.
Answer:
A statistical method to identify cost behavior.
Step-by-step explanation:
Costing is the measurement of the cost of production of goods and services by assessing the fixed costs and variable costs associated with each step of production.
In Financial accounting, the three methods used to classify costs into their fixed and variable components includes high-low method, scatter diagrams and least-squares regression.
A least squares regression line is a standard technique in regression analysis used to make the vertical distance obtained from the data points running to the regression line to become very minimal or as small as possible.
Hence, the least-squares regression method is a statistical method that is typically used for identifying cost behavior.
Generally, the sum of the residuals of a least squares regression line is always equal to zero.
Select the correct answer from each drop-down menu. The asymptote of the function f(x) = 3x + 1 – 2 is ____ Its y-intercept is ____
Answer:
-2
(0, 1)
Step-by-step explanation:
Giveb the function :
F(x) = 3^x + 1 – 2
To obtain the asymptote, take the limit of f(x) as x as tends to ∞
3^(∞+1) - 2 = 0 - 2
Hence,
y = 0 - 2.
y = - 2
The y intercept, this is the value of y when x = 0
Hence, put x = 0
F(0) = 3^(0 + 1) – 2
f(0) = 3^1 - 2
f(0) = 3 - 2
f(0) = 1
Y - intercept = (0, 1)