Answer:
Presumably you're solving for x here? Without further information we'll assume that.
With that in mind, x is approximately equal to 0.86 and -0.46
Step-by-step explanation:
Let's start by putting it in the usual ax² + bx + c format.
[tex]5x^2- 2x = 2\\5x^2 - 2x - 2 = 0\\[/tex]
let's solve it. First we'll multiply both sides by five, making the first term a perfect square:
[tex]25x^2 - 10x - 10 = 0\\[/tex]
Now we'll add 11 to both sides:
[tex]25x^2 - 10x + 1 = 11\\[/tex]
Which makes the left side a perfect square:
[tex](5x - 1)^2 = 11[/tex]
And now we can solve for x:
[tex](5x - 1)^2 = 11\\\\5x - 1 = \sqrt{11} \\\\5x = 1 + \sqrt{11}\\\\x = \frac{1 + \sqrt{11}}{5}[/tex]
Note that there's no apparent way of drawing the ± symbol when editing equations, so take that + sign as actually being ±.
That gives us two answers:
[tex]x = \frac{1 + \sqrt{11}}{5}\\\\x \approx \frac{1 + 3.32}5\\\\x \approx \frac{4.32}5\\\\x \approx 0.86[/tex] [tex]x = \frac{1 - \sqrt{11}}{5}\\\\x \approx \frac{1 - 3.32}5\\\\x \approx \frac{-2.32}5\\\\x \approx -0.46[/tex]
The measure of the vertex angle of an isosceles triangle is 20 less than twice the measure of each base angle. Find the measure of the vertex angle
Answer:
80
Step-by-step explanation:
Remark
Every triangle has a measure of 180 degrees.
Equation
Let the base angle = x
x + x + 2x-20 = 180
Solution
4x - 20 = 180
4x = 180 + 20
4x = 200
x = 50
Conclusion
Base angle 1 = 50
Base angle 2 = 50
Vertex angle = 2*50 - 20
Vertex angle = 100 - 20
Vertex angle = 80
I'm literally begging someone to do this i'm so confuse
Answer:
D
Step-by-step explanation:
Answer:
i think its D! pls let me know if im wrong.
Step-by-step explanation:
Please help and you will get brainliest!!
Max built a rectangular Prism and a rectangular Pyramid using beach sand. The prism and the pyramid have the same base area and the same height. The amount of sand Max used to build the Prism is how many times the amount used to build the Pyramid?
Answer:
Three times
Step-by-step explanation:
Given
Figures: Rectangular Prism and Rectangular Pyramid
Let the dimension of the prism be:
[tex]l = length[/tex]
[tex]w = width[/tex]
[tex]h = height[/tex]
Amount of sand used is the volume (V1) and it is calculated using;
[tex]V_1 = l * w * h[/tex]
[tex]V_1 = lw h[/tex]
Since the pyramid has the same base area and height as the prism, the its dimension would be:
[tex]l = length[/tex]
[tex]w = width[/tex]
[tex]h = height[/tex]
Amount of sand used is the volume (V2) and it is calculated using;
[tex]V_2 = \frac{1}{3}*(lwh)[/tex]
So, we have:
[tex]V_1 = lw h[/tex]
[tex]V_2 = \frac{1}{3}*(lwh)[/tex]
Substitute lwh for V1 in the second equation
[tex]V_2 = \frac{1}{3}V_1[/tex]
Multiply both sides by 3
[tex]3 * V_2 = \frac{1}{3}V_1 * 3[/tex]
[tex]3 * V_2 = V_1[/tex]
Reorder
[tex]V_1 = 3 * V_2[/tex]
[tex]V_1 = 3 V_2[/tex]
Hence, the amount of sand used in building the prism is three times the amount of sand used in building the pyramid
Plz answer!! What is 120% of 75
Answer:
90
Step-by-step explanation:
Traduisez l’énoncé suivant en utilisant le symbole d’inégalité approprié.
1) x dépasse 8 ? : _____
Answer:
Je ne parle pas francais
Step-by-step explanation:
Pardon
Suppose 3 is a root of the quadratic equation ax² – 2x – 21 = 0. Find the value of a and hence find the other
root of the equation.
Answer:
a = 3
the other root = -7/3
A theater, the admission price for children is $4 and the admission price for adults is $8. The total amount the theater collects in admissions for the day is $1848. The total number of visitors is 283. Let be the number of children and let y be the number of adults. Which system represents the situation?
Answer:
[tex]4x+8y= 1848\\\\x+y= 283[/tex]
Step-by-step explanation:
Step one:
The admission price for children is $4
The admission price for adults is $8
Let be the number of children and
let y be the number of adults.
The total amount the theater collects in admissions for the day is $1848.
4x+8y= 1848-----------1
The total number of visitors is 283.
x+y= 283----------------2
Step two:
the system of equation for the situation is
4x+8y= 1848
x+y= 283
Kara’s bedroom is in the shape of a rectangle. The perimeter of her room is 50 feet. The width of her room is 12 feet. What is the length of Kara’s room?
A
13 feet
B
25 feet
C
26 feet
D
38 feet
Answer:
25 feet my guy and u deserve a meme scroll down for it
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
Last year, 400 signed up to take a virtual kickboxing class. This year, there was a 5% increase in registrations. How many people will take virtual kickboxing this year
Answer:
420 people
Step-by-step explanation:
400*1.05=420
A candy machine makes 75 pieces of candy a minute. If a full box of candy holds 8 pieces, how many full boxes does the machine
make in a minute?
Answer:
9
Step-by-step explanation:
75 divided by 8 equals 9 remainder 3
Have a good day! :)
PLZ HELPI DON'T UNDERSTAND THIS ONE.
Sylvia runs a company that produces clothing accessories—hats, patches, scarves, etc.—for events such as a Presidential inauguration. To produce each item costs her $1. She also pays an initial startup cost for production of $100, regardless of the number of products that she produces. She plans to sell each product for $5. How much money would the cost be to produce fifty products? What is Sylvia’s income if she sells fifty products?
Answer:
250 dollars
Step-by-step explanation:
5x50
Answer:
$50 to produce each and $150 would be her income
Step-by-step explanation:
Write the simplest polynomial function for each set of zeros
Zeros = 2,-2, 4, 1
PLEASEEEEE HELPPPPPPPPPP
9514 1404 393
Answer:
p(x) = x^4 -5x^3 +20x -16
Step-by-step explanation:
If 'a' is a zero of the polynomial, then (x -a) will be a factor. For the given zeros, the simplest polynomial will be the product of the corresponding factors:
p(x) = (x -2)(x +2)(x -4)(x -1) . . . . . . note that x -(-2) = x +2 (factored form)
__
Multiplying these out gives the result in standard form.
The product of the first two factors is a "special product" recognizable as the difference of two squares.
(x -2)(x +2) = x^2 -2^2 = x^2 -4
The product of the last two factors can be found in the usual way. The distributive property applies.
(x -4)(x -1) = x(x -1) -4(x -1)
= x^2 -x -4x +4 = x^2 -5x +4
Then the full polynomial is the product of these partial products:
p(x) = (x^2 -4)(x^2 -5x +4)
= x^2(x^2 -5x +4) -4(x^2 -5x +4)
= x^4 -5x^3 +4x^2 -4x^2 +20x -16
p(x) = x^4 -5x^3 +20x -16 . . . . . . . . standard form
Could someone please help ;(
Answer:
a. 25/33
b. 36
c. 1/15
d. 35/12
e. 19/12
brainliest for correct answer A triangle has interior angle measures 28 and 32, please find the 3rd interior angle and two exterior angles.
Answer:
120
Step-by-step explanation:
All the angles should add up to equal 180 so,
28 + 32 + ? = 180
60 + ? = 180
180 - 60 = 120
CAN SOMEONE HELP WITH THIS ASAP
Answer:
When x=1/2, y=28/3
when x =0, y=9
Equation is y=2/3 x + 9
Step-by-step explanation:
First lets convert them to fractions to make it easier. Also put them in order.
X Y
0
1/2
3/4 19/2
1 29/3
6/5 49/5
You can find the slope since we know 2 points.
(3/4, 19/2) and (6/5, 49/5)
m=3/10 / 9/20
m=2/3
y=2/3 x + b
Lets plug in x and y points to find the y-int
19/2=2/3(3/4) + b
b=9
Therefore y=2/3 x + 9
When x=1/2, y=28/3
when x =0, y=9
Dose y = 7.2x represent a proportional relationship, if so identify the constant of proportionality. If not, explain why not.
Answer:
Yes it does
The constant of proportionality is 7.2
Step-by-step explanation:
Here, we are to determine if the expression represents a proportionality relationship
From the question, we can see that this is so
If we placed x beneath y, we will have
y/x = 7.2
So therefore the ratio between the two is 7.2 and thus, the equation represents a proportional relationship
g(x)=−4x+5, find g(5)g(5).
Answer:
— g(5)=18
Step-by-step explanation:
x=5 into g(x). g(5)=(4×5)−2=20−2=18.
Find the reference angle of 155o. –25o 25o –65o 65o
Answer:
The reference angle for 155° is 25°
Step-by-step explanation:
The reference angle is the angle that the angle arm makes with the x-axis be it clock wise or anti-clock wise.
The reference angles are obtained by the following reference
0 - 90° => Angle
90° - 180° => 180 - angle
Our given angle is: 155° so we will use the second rule
The reference angle will be:
180° - 155° = 25°
Hence,
The reference angle for 155° is 25°
Please help me out!!!!!!!
Answer:
Is a 0
Step-by-step explanation:
Tyler paid $16 for 4 raffle tickets.5.
What is the price per ticket?6.
How many tickets is that per dollar?
Answer:
$4/ticket; .25ticket per dollar
Step-by-step explanation:
Tyler paid $16 for 4 raffle tickets.
Part 1: What is the price per ticket?
Part 2: How many tickets per dollar?
For part 1, you will divide $16 by 4 tickets.
16/4=4
You can get 4 tickets for $16 so that's $4/ticket.
For part 2, you already know that it is $4 for one ticket. The question wants to know how many tickets you will get for $1. To find this answer you will divide 1 by 4.
4/1 = .25
So you can get .25 of a ticket per dollar.
(6a+42)+(8a+72)=?
.
.
Answer:
14a+114
Step-by-step explanation:
Answer:
14a+114
Step-by-step explanation:
Since everything is addition you can ignore the parenthesis. So you have 6a+42+8a+72. Now you add the like terms, (6a+8a)+(42+72)=14a+114. Which is your answer!
2x + 28 = 40 and and 2(x + 14) = 40 have different solution steps. Do they have the same solution? Use the distributive property to show why this answer makes sense.
Answer:
yes they are the same
Step-by-step explanation:
2x + 28 =40
you subtract 28 from both sides
2x + 28 - 28 = 40 - 28
2x=12
divide 12 by 2 and get 6
2(6)=12
2(x + 14)= 40
So, 2(x) + 2(14)
2x + 28 = 40
So they're both the same, just with 2 different ways to solve the same equation...Hope this helps!!
The solution for 2x + 28 = 40 is 6.
The solution for 2(x + 14) = 40 is 6.
Yes, they have the same solution.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We have,
2x + 28 = 40
Solve for x.
2x = 40 - 28
2x = 12
x = 6
2(x + 14) = 40
Solve for x.
2x + 28 = 40
2x = 40 - 28
2x = 12
x = 6
Thus,
The solution for both equations is the same.
Learn more about solutions to equations here:
https://brainly.com/question/545403
#SPJ2
Myra can spend no more than $150 on office supplies. Paper costs $2.50 a pack and shipping is $10.
Use x to represent paper, write an inequality to model the situation
Answer:
150[tex]\geq[/tex] 2.50x + 10
Step-by-step explanation:
It's 10 dollars for shipping. Then it is 2.50 times the amount of paper she chooses to by but it cannot be more 150.
Please Help me!!
I need this ASAP!!
Answer:
Step-by-step explanation:
let smaller be x
larger number is x+5
4x-3(x+5)=29
4x-3x-15=29
x=29+15=44
x=44
larger number is 49
Lucia is making a 21.6 centimeter beaded string to hang in the window. She decides to put a green bead every 0.4 centimeters and a purple bead every 0.6 centimeters. How many green beads will she need?
Answer: 54 green beads
Step-by-step explanation:
From the question, we are informed that Lucia is making a 21.6 centimeter beaded string to hang in the window and that she decides to put a green bead every 0.4 centimeters and a purple bead every 0.6 centimeters.
The number of green beads that she will need will be gotten by dividing the total length of bead she wants to make by 0.4. This will be:
= 21.6 / 0.4
= 54 green beads
4. Is there a variable factor common to 24a and 6?
Answer:
There is no variable factor common to 24a and 6
Step-by-step explanation:
First number = 24a
Other number = 6
Pime factorisation of 24a = 2×2×3×2×a
Pime factorisation of 6= 3×2
Common factors = 6
Hence, there is no variable factor common to 24a and 6, Other common factor is 6.
I still can't afford to fail this semester. The question is in the picture
Answer:
y=1/3x+7/3
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept
m=(y2-y1)/(x2-x1)
m=(3-1)/(2-(-4))
m=2/(2+4)
m=2/6
simplify
m=1/3
y=1/3x+b
y-y1=m(x-x1)
y-1=1/3(x-(-4))
y-1=1/3(x+4)
y-1=1/3x+4/3
y=1/3x+4/3+1
y=1/3x+4/3+3/3
y=1/3x+7/3
jeremy ran 4 more miles then twice of kate, k, ran. which expression can be used to represent the situation
Answer:
2k+4
Step-by-step explanation:
Jeremy ran
2k+4
Jeremy ran 4 more miles than twice of Kate.
Given, distance covered by Kate = k
Let distance covered by Jeremy = x
According to Question :
Distance covered by Jeremy = 4 + 2 × distance covered by Kate
Hence, x = 4 + 2k
Therefore, expression used to represent situation is :
x = 4 + 2ksolve the equation 13x+16y=11 for y
x − 3 = 6 − 2 x = − 8 √ x = 3