Answer:
x ≈ ±2.1407
Step-by-step explanation:
0.5(x⁴ - 9) + 15 = 0
Distribute the 0.5 across the parentheses.
0.5x⁴ - 4.5 + 15 = 0
Combine the constants.
0.5x⁴ + 10.5 = 0
Subtract 10.5 from both sides.
0.5x⁴ = -10.5
Divide both sides by 0.5.
x⁴ = 21
Take the fourth root of 21.
⁴√21 ≈ ±2.1407
x ≈ ±2.1407
help lol, show wurk cuz u know how teachers are these days
Answer:
Infinitely many solutions (the lines are identical)
Step-by-step explanation:
Let's start by getting each equation into slope intercept form (y=mx+b)
-14x-14y=28
-14x-28=14y
-x-2=y
and
7x+7y= -14
7x+14= -7y
-x-2=y
We can see that these two lines are identical which means that there are an infinite amount of answers
Convert equation y = 3x^2 - 24x + 0.5 to vertex form by completing the square.
Answer:
y=3[tex](x-4)^{2}[/tex]-47.5
Step-by-step explanation:
I did it in my notebook.
Someone can type 135 words in 3min at rate that rate how many Minutes would it take her to 450 words
Is y=x+2 a linear function
Answer: Yes Y=x+2 is a linear function.
Can someone help please
Answer:r
enor
Step-bay-step explanation:
Answer:
See the conversion from decimal to fraction:
13.
-0.2 = - 2/10 = -1/514.
0.55 = 55/100 = 11/2015.
5.96 = 5 96/100 = 5 24/25Homework Help ASAP
Find the difference. Write your answer in the simplest form
3/4 - 3/8
Find the sum. Write your answer in the simplest form
2/7 + 2/5
Answer:
#1. 3/8 and #2. 27/35
Step-by-step explanation:
3/4 - 3/8 change to 6/8 - 3/8 = 3/8 can not reduce
2/7 + 2/5 change to 10/35 + 17/35 = 27/35 can not reduce
Answer:
3/8
Step-by-step explanation:
3/4 - 3/8
= 3*2/4*2 - 3/8
= 6/8 - 3/8
= 6-3/8
= 3/8
Answer:
24/35
Step-by-step explanation:
2/7 + 2/5
= 2*5/7*5 + 2*7/5*7
= 10/35 + 14/35
= 10+14/35
=24/35
Some one please help someone good at geometry because I’m failing :( plz makes sure it’s right
Answer:
7
Step-by-step explanation:
If 12 oranges cost $4.80, what would be the cost for 5 oranges
Answer: 24
Step-by-step explanation:
Because if you do 4.80 times 5 you’ll get 24 because each orange cost $4.80
Answer:
the cost of 5 oranges would be $2.00
Step-by-step explanation:
To solve this we need to find the unit rate and when we do this we can solve this problem. To find that we need to divide 4.80 by 12 once we do that we just have to multiply that number by 5 to get our answer, when you divide you'll get 0.4 and then multiply that by 5 and you'll get $2.00.
formulas A=bh/2 A=bh and I have 6in 4in 6in 10in and I have to find the area
Answer:
Lots of "ifs" here.
A=bh/2 is the formula for the area of a triangle.
A=bh is the formula for the area of a rectangle or a parallelogram.
If the 6 & 4 area the base & height of a rectangle, then (6)(4) = 24 in^2
If the 6 & 10 are the base and height of a triangle, then 1/2(6)(10) = 30 in^2
Step-by-step explanation:
Find the solution of this system of equations.
Separate the x- and y-values with a comma.
X + 2y = 8
x - y = 2
Answer:
Step-by-step explanation:
x + 2y = 8
x - y = 2
x + 2y = 8
-x + y = -2
3y = 6
y = 2
x - 2 = 2
x = 4
(4, 2)
Susana runs 2 3/4 miles every 1/4 hour. Enter the number of miles Susana can run in 1 hour
Answer:
Step-by-step explanation:
If Susana runs 2 3/4 miles per 1/4 hour
in one hour
2 3/4=11/4
1h=11/4 *4=11 miles
11 miles/hour
find the volume of a rectangle block of ice 2 feet by 3 1/2 feet by 1 1/2.
the volume of the rectangular block of ice is ( simplify your answer)
Answer:
The answer is 80.5!
Step-by-step explanation:
The reason to the answer is because volume of a cuboid is l×B×H
(Substitute the values) L = 2 , B = 3.5 , H = 11.5
2 × 3.5 × 11.5
Therefore, when we multiply these numbers we get, the answer 80.5!
I hope this answer helps!
The Faren family is going on vacation and they need to rent a car. EZ Rentals rental car costs $36 plus an additional 0.42 per mile. a. Write a function that represents the total cost c(m) of m miles. b. Determine how much money the Faren family will spend if they drive 215 miles. *
Answer:
wow bkrioavpoimpmqe
Step-by-step explanation:
-4h - 2 = -6h - 8 i need all the steps pls!!
Answer:
h=-3
Step-by-step explanation:
-4h-2=-6h-8
+6h +6h
2h-2=-8
+2 +2
2h=-6
h=-3
Which statement is true regarding the function above?
A) There is a vertical shift 6 spaces up
B) there is a horizontal shift 6 spaces to the right
C) there is a vertical shift 6 spaces down
D) there is a horizontal shift 6 spaces to the left
Answer:
B.there is a horizontal shift 6 spaces to the right
Someone explain to me how to write an equation out in slope-intercept form in simple terms with examples I'm so confused
Answer:
are you talking about y=mx+b? M would be the slope, and B would be the y intercept, so if we wanted to do, lets say 4,5, we would say y=4x+5, i think,
Step-by-step explanation:
An equation in slope-intercept form looks like this: y = mx+b
In the equation, m is equal to the growth rate of the line on the graph and b represents the y-intercept (where the line meets with the y-axis).
For the line shown in the picture below, the equation is y = 1x + 2 (not exactly but based on estimates). Also, you can ignore the writing on the picture. (0-0')
y = 1x + 2
In this equation. 1 represents the growth rate and 2 represents the y-intercept.
So, when writing an equation, look for these two things:
y-intercept: where the line of a graph meets with the y-axis
growth rate: how much is the line increasing by on the y-axis for every unit on the x-axis?
:3))
Under his cell phone plan, Joseph pays a flat cost of $66.50 per month and $5 per gigabyte. He wants to keep his bill at $83.50 per month. Write and solve an equation which can be used to determine gg, the number of gigabytes of data Joseph can use while staying within his budget.
Alice arranges 42 blocks in 7 equal rows.how many blocks are in each?
Answer:6
Step-by-step explanation:
The total number of blocks is 42 and the number of rows is 7. So the equation would be 42 ÷ 7. So, 42 ÷ 7 = 6. There are 6 blocks in each row
Select the two values of x that are roots of this equation.
3x - 5 = -2x2
O A. x= 1
O B. x=-
x= -2
NIU
O C. x= 2
D. x= -1
3
Help please
Answer:
x = 1 or -5/2
Step-by-step explanation:
-2x^2 - 3x + 5 = 0
multiply all through by -1
2x^2 + 3x - 5 = 0
....... 2x^2 × 5 = 10x^2 = +5x × -2x
(2x^2 + 5x)-(2x - 5) = 0
x(2x + 5) - 1(2x + 5) = 0
x - 1 = 0 or 2x + 5 = 0
x = 1 or 2x = - 5
x = 1 or -5/2
The diagram shows a vector of a circle centre O and radius 6 cm. Mn is a chord of the circle. Angle MON is 50degrees. Calculate the area of the shaded segment. Give your answer to three significant figures
Answer:
Area of the shaded region = 1.92 cm²
Step-by-step explanation:
Area of the shaded region = Area of sector OMN - Area of isosceles triangle OMN
Drop a perpendicular OP from vertex O to opposite side MN.
Perpendicular OP will bisect angle MON.
m∠MOP = 25°
By cosine ratio in triangle OPN,
cos(25°) = [tex]\frac{OP}{ON}[/tex]
OP = ON.cos(25°)
OP = 6cos(25°)
OP = 5.438 cm
By sine ratio of angle PON,
sin(25) = [tex]\frac{PN}{ON}[/tex]
PN = ON.sin(25)
= 6sin(25°)
= 2.536 cm
Since, MN = 2(PN)
MN = 5.071 cm
Area of ΔOMN = [tex]\frac{1}{2}(OP)(MN)[/tex]
= [tex]\frac{1}{2}(5.438)(5.071)[/tex]
= 13.788 cm²
Area of sector OMN = [tex]\frac{\theta}{360}(\pi r^{2})[/tex]
Here 'θ' is the angle subtended by the arc MN at the center.
Area of sector OMN = [tex]\frac{50}{360}(\pi )(6^{2})[/tex]
= 15.708 cm²
Area of the shaded region = 15.708 - 13.788
= 1.92
≈ 1.92 cm²
Answer:
Area of the shaded region = Area of sector OMN - Area of isosceles triangle OMN
Drop a perpendicular OP from vertex O to opposite side MN.
Perpendicular OP will bisect angle MON.
m∠MOP = 25°
By cosine ratio in triangle OPN,
cos(25°) = \frac{OP}{ON}ONOP
OP = ON.cos(25°)
OP = 6cos(25°)
OP = 5.438 cm
By sine ratio of angle PON,
sin(25) = \frac{PN}{ON}ONPN
PN = ON.sin(25)
= 6sin(25°)
= 2.536 cm
Since, MN = 2(PN)
MN = 5.071 cm
Area of ΔOMN = \frac{1}{2}(OP)(MN)21(OP)(MN)
= \frac{1}{2}(5.438)(5.071)21(5.438)(5.071)
= 13.788 cm²
Area of sector OMN = \frac{\theta}{360}(\pi r^{2})360θ(πr2)
Here 'θ' is the angle subtended by the arc MN at the center.
Area of sector OMN = \frac{50}{360}(\pi )(6^{2})36050(π)(62)
= 15.708 cm²
Area of the shaded region = 15.708 - 13.788
= 1.92
≈ 1.92 cm²
Use inverse operations to solve for x, keeping the equation balanced at all times.
x +7= 20
What do I do?
What is 1/6 X 3 I need help badly
Answer:
1/2
Step-by-step explanation:
Healthcare workers often use medicine or surgery to diagnose diseases. study diseases. prevent diseases. treat diseases.
Answer:
D
Step-by-step explanation:
Solve for x.
A
6
B
12
С
14
D
18
Jaden is flying a kite and let’s off 275 feet of string. If the kite is 150 feet above ground and assuming the string is straight, what angle does the string make with the ground, to the nearest degree?
Answer:
≈ 33°
Step-by-step explanation:
So, first, you can draw a visual. Refer to the image attached below:
Using this info, you can use trigonometric ratios. Recall that:
tangent = opposite side/adjacent side
sine = opposite side/ hypotenuse
cosine = adjacent side/hypotenuse
You can clearly see that you have an opposite side and a given hypotenuse. This means we'll be using sine.
So:
[tex]sinX = \frac{150}{275}[/tex]
However, we're not trying to find sinX, we're trying to find X.
So we would have to use inverse sine, which would then be:
[tex]X = sin-1 (\frac{150}{275} )[/tex]
Put this into your calculator, and:
X ≈ 33.05573115...
Can you help me pleasee ?
Answer:the nswer is
Step-by-step explanation:
ayuda pliss.. una enpresa de alimentos quiere vender durante un trimestre 72.780 cajas de jugos si en un mes vendio 36.210 cajas y en el siguiente 24.955 cajas cuantas csjas de jugos debe vender en el tercer mes
Answer:
la respuesta es (11.615)
Given r(x) = StartFraction 11 Over (x minus 4) squared EndFraction , which represents a domain restriction on r(x) and the corresponding inverse function? X > 4; r–1(x) = 4 minus StartRoot StartFraction 11 Over x EndFraction EndRoot x > 4; r–1(x) = 4 + StartRoot StartFraction 11 Over x EndFraction EndRoot x > –4; r–1(x) = 4 minus StartRoot StartFraction 11 Over x EndFraction EndRoot x > –4; r–1(x) = 4 + StartRoot StartFraction 11 Over x EndFraction EndRoot
Answer:
x > 4; r–1(x) = 4 + StartRoot StartFraction 11 Over x EndFraction EndRoot
Step-by-step explanation:
We are given that
[tex]r(x)=\frac{11}{(x-4)^2}[/tex]
We have to find the domain of restriction on r(x) and corresponding inverse function.
Let
[tex]y=r(x)=\frac{11}{(x-4)^2}[/tex]
[tex](x-4)^2=\frac{11}{y}[/tex]
[tex]x-4=\sqrt{\frac{11}{y}}[/tex]
[tex]x=\sqrt{\frac{11}{y}}+4[/tex]
[tex]r^{-1}(y)=\sqrt{\frac{11}{y}}+4[/tex]
Now, replace x by y and y by x then, we get
[tex]r^{-1}(x)=\sqrt{\frac{11}{x}}+4[/tex]
The function is not defined at x=4
But,
The inverse function defines for all positive real values.
Therefore, domain of r(x)=x>4 and inverse function
[tex]r^{-1}(x)=\sqrt{\frac{11}{x}}+4[/tex]
Option:
x > 4; r–1(x) = 4 + StartRoot StartFraction 11 Over x EndFraction EndRoot
Answer:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
Step-by-step explanation:
b
the sum of the measures of two exterior angles of a triangle is 272. what is the measure of the third exterior angles
Answer.
Step-by-step explanation:
Given = sum of two exterior angle of a triangle is 272 .
rule of triangle is that each and every angle which are outside a triangle is 360.
so, 272 + x = 360
x = 360 - 272
x = 88
What kind of sequence is this? 39, 156, 468, 936
Answer:
Geometric
Step-by-step explanation:
The given sequence is; 39, 156, 468, and 936 Geometric sequence.
What is a geometric sequence and how to find its nth term?Three parameters differentiate between which geometric sequence we're talking about. The first parameter is the initial value of the sequence. The second parameter is the quantity by which we multiply the previous term to get the next term. And the third parameter is the length of the sequence. It can be finite or infinite.
Consider that the initial term of a geometric sequence is a and the term by which we multiply the previous term to get the next term is r.
Thus, the nth term of such sequence would be; [tex]T_n = ar^{n-1}[/tex]
We have been given that the sequence is; 39, 156, 468, 936
Hence, the given sequence is; 39, 156, 468, and 936 Geometric sequence.
Learn more about geometric sequence here:
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