Answer:
[tex]x=\frac{1+\sqrt{41}}{5},\\x=\frac{1-\sqrt{41}}{5}[/tex]
Step-by-step explanation:
The quadratic formula states that the solutions for a quadratic is standard form [tex]ax^2+bx+c[/tex] are equal to [tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex].
In [tex]5x^2-2x-8=0[/tex], we can assign the values:
[tex]a[/tex] of 5[tex]b[/tex] of -2[tex]c[/tex] of -8Thus, we have:
[tex]x=\frac{-(-2)\pm \sqrt{(-2)^2-4(5)(-8)}}{2(5)},\\x=\frac{2\pm \sqrt{164}}{10},\\\begin{cases}x=\frac{2+ \sqrt{164}}{10}, x=\frac{1}{5}+\frac{\sqrt{41}}{5}=\frac{1+\sqrt{41}}{5}\\x=\frac{2- \sqrt{164}}{10}, x=\frac{1}{5}-\frac{\sqrt{41}}{5}=\frac{1-\sqrt{41}}{5}\end{cases}[/tex]
Answer:
(1+√41)/5, (1-√41)/5
Step-by-step explanation:
quadratic formula is (-b±√(b^2-4ac))/2a
in this equation,
a = 5
b = -2
c = -8
plug in the values
(2±√(4 - 4(5)(-8))/10
(2±√(4 + 160)/10
(2±√(164)/10
(2±2√(41))/10
1. (2+2√41)/10
(1+√41)/5
2. (2-2√41)/10
(1-√41)/5
Which expression represents the algebraic phrase “nine times a number plus thirteen”?
9 minus y + 13
9 + y minus 13
9y + 13
13y + 9
Answer:
ok so its 9 times a number plus 13 this is shown as c
9y+13
Answer:
ok so its 9 times a number plus 13 this is shown as c
9y+13
Step-by-step explanation:
Use the properties of logs to determine how many more times severe was the San Francisco earthquake? The severity is equal to the ratio below:
Answer:
The answer is "158.489"
Step-by-step explanation:
for san francisco earthquake:
[tex]\log(\frac{a_1}{T}) + B = 7.8\\\\\log(\frac{a_1}{T})+\log(10^{B}) = 7.8\\\\\log(\frac{a_1}{T} \times 10^{B})=7.8\\\\(\frac{a_1}{T} \times 10^B=10^{7.8}...............(i)[/tex]
similarly , for coloumbia earthquake:
[tex]\frac{a_2}{T}\times 10^B = 10^{5.6}.................(ii)[/tex]
divide equation (i) and (ii):
[tex]\frac{a_1}{a_2}=\frac{10^{7.8}}{10^{5.6}}\\\\\frac{a_1}{a_2}=10^{2.2}\approx 158.489[/tex]
Which is the graph of f(x) = 4[1/2]x ?
Step-by-step explanation:
answer is in picture see
hope it helpful
Which is NOT a proposition
A. Marlon is eating his lunch
B. Will you be at school tomorrow.
C. The earth is rectangular
D. 10 + 5 = 15
Answer:the answer is b
Step-by-step explanation:reason being that the question will you be at school tmrw?cat be given a choice to say wether it’s true or false so Yh...I don’t know if that helped
What is the area of the square,in square units?
3/4 unit
Answer:
9/16
Step-by-step explanation:
The area of a square is given by
A = s^2 where s is the side length
A = (3/4)^2
A = 9/16
Very easy question I will mark you brainliest
1. Is 29 monomial or not monomial ?
Yes or No
2. 5x^7 monomial or not monomial
yes or no
Answer:
1. Yes
2. Yes
Step-by-step explanation:
A monomial is an algebraic expression consisting of one term. So, 29 is a monomial.
[tex]5x^{7}[/tex] has only one term. So, [tex]5x^{7}[/tex] is a monomial.
Total area of composite figure
Answer:
Hello! answer: 99 units2
Step-by-step explanation:
9 × 6 = 54 9 × 10 = 90 90 ÷ 2 = 45
54 + 45 = 99 therefore the area is 99 units2 hope that helps!
Help plz..And No links!! I repeat No links!!
Step-by-step explanation:
Apply foil method.
First,
[tex]4z \times z = 4 {z}^{2} [/tex]
Outer,
[tex]z \times - 1 = - z[/tex]
Inner,
[tex]4z \times 1 = 4z[/tex]
Last,
[tex]1 \times - 1 = - 1[/tex]
Add terms.
[tex]4 {z }^{2} + 3z - 1[/tex]
Help plz..And No links!! I repeat No links!!
Answer:54 is the54 d
Step-by-step explanation:
no sorry
In the figure, angle E measures 30°, angle F measures 57°, and angle B measures 27°. What is the measurement of angle A?
A.
27°
B.
66°
C.
87°
D.
93°
Answer:
66°{B}
Step-by-step explanation:
30°+57°+27°+x=180°
114°+x=180
x=180°-144°
66°
Answer:
I hope this helps
Step-by-step explanation:
What is point b on the coordinate plane?
Answer:
its (1,-3) if you got it wrong just let me know :3
|48+(-6)|+|-35+7|
Please help me with this! Thank you!
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{|48 - 6| + |- 35 + 7|}[/tex]
[tex]\mathsf{|48 - 6| = \boxed{\bf 42}}[/tex]
[tex]\mathsf{= 42 +| -35 + 7|}[/tex]
[tex]\mathsf{|-35 + 7| = \boxed{\bf -28}}[/tex]
[tex]\mathsf{= 42 + |- 28|}[/tex]
[tex]\mathsf{= 42 + 28}[/tex]
[tex]\boxed{\mathsf{= \bf 70}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 70}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Help please I need help
find X
Answer:
[tex]x = 145[/tex]
Step-by-step explanation:
1.Approach
To find the value of (x), one will have to take multiple steps. Since a straight line is (180) degrees, one can use this property. Subtract the measure of the exterior angle (the angle formed between the extension of the side of a triangle, and the side of a triangle) from (180) to find an expression to describe the measure of the angle inside the triangle.
Then one is given a regular octagon, using the sum of interior angles formula, find the measure of any interior angle. The vertical angles that when two lines intersect, the opposite angles are congruent. One can use this property to find the final unknown angle in the triangle.
It is known that the sum of angles in a triangle is (180). Use this to find the measure of (x).
2. Find the measure of two angles in the triangle
The degree measure of a straight angle is (180), therefore, when two angles form a straight line, their sum of (180). One can apply this here by stating,
[tex]x+(unknown)=180[/tex]
Solve for unknown,
[tex]unknown = 180 - x[/tex]
One can also state,
[tex]170+(unknown_2)=180[/tex]
Solve for the unknown,
[tex]unknown_2=10[/tex]
3.Find the degree measure of one of the angles in the octagon
The given octagon (eight-sided figure) is a regular octagon. By its definition, all of the sides in any regular polygon are congruent. This is indicated here, thus the octagon is a regular octagon. One property of a regular polygon is that all of the angles in the figure are cognrunet. This means that the sum of interior angles divided by the number of angles wil give one the measurement of each angle.
The formula to find the sum of interior angles in a polygon is as follows,
[tex]S=180(n-2)[/tex]
Where (n) is the number of sides. Since an octagon has (8) sides substitute this number into the formula and solve for the sum of angles,
[tex]S=180(n-2)\\\\S=180(8-2)[/tex]
Simplify,
[tex]S=180(8-2)\\\\S=180(6)\\\\S= 1080[/tex]
Now divide by the number of angles. The number of angles in an octagon is (8). Since this is a regular octagon, all of the angles are congruent, thus dividing the sum of angles by the number of angles will give on the measure of each angle.
[tex]1080[/tex] ÷ [tex]8 = 135[/tex]
4. Find the measure of the final angle in the triangle
The vertical angles theorem states that when two lines intersect, the angles opposite each other are congruent. Therefore, the final unknown angle in this triangle is equal to (135) degrees, because the angle opposite in the octagon is equal to (135) degrees.
5. Find the meausre of (x)
The sum of angles in any triangle is (180) degrees. Since one has found the measure or expression of the angle measure of each angle in a triangle, one can form an equation and solve for the unknown,
[tex](180-x)+(10)+(135)=180[/tex]
Simplify,
[tex]325-x=180[/tex]
Inverse operations,
[tex]325-x=180\\\\-x = -145\\\\x=145[/tex]
Measurement questions please help
Answer:
There are 16 marks per inch. This means that each mark is equal to 1/16th of an inch. Knowing this, we can just count backward from the 3 inch mark from 16 to get the fraction, then just add two.
2.8125
Step-by-step explanation:
use thing below to get answers or count them
Aline having a slope of 3/4 passes through the point (-8,4) What would the
equation look like before you solve it, if you were plugging these numbers into the
slope-intercept equation (y=mx+b)?
HELP ME
Answer:
y=3/4x + 10
Step-by-step explanation:
First, lets put this into Point-Slope form: y-4 = 3/4(x+8)
Now, lets modify the equation in our favor, getting the "y" alone on the left hand side: y-4 = 3/4(x+8)
+4 +4
-----------------------------------------------
y=3/4(x+8)+4
Now, lets simplify....
y=3/4x + 6 + 4 = y = 3/4x+10
And we are done!
how would i solve this with a graph AND A FUNCTION TABLE?!?!?!?!?
y=-1/4x - 3
Find F(-5) if f(x)=6
Answer:
on seconded I will come back and edit my answer
For the dinner special at a restaurant, the customer must choose an appetizer, an entree, a side dish, and a dessert.
Here are the items to choose from.
Choice
Possible items
Appetizer
Shrimp cocktail, Onion rings, Buffalo wings
Entree
Grilled chicken, Lamb, Roast turkey, Salmon
Side dish
French fries, Baked potato, Mixed vegetables, Rice, Pinto beans
Dessert
Brownies, Ice cream, Cheesecake, Apple pie
How many dinner specials are possible?
Answer:
A
Step-by-step explanation:
Answer:
320
Step-by-step explanation:
Multiply the binomials: (8a - 3b) (3a - 8b)
Answer:
24a²-73ab+24b²
Step-by-step explanation:
(8a - 3b) (3a - 8b) =
24a²-64ab-9ab+24b²
= 24a²-73ab+24b²
An isosceles triangle has a base of 20cm. The vertex angle is 80?. Find the length of each of the two equal sides of the triangle
What is the volume of the rectangular prism below
Answer:
D. 501,120mm^3
Step-by-step explanation:
Volume of a rectangle:
length x width x height
So, plug in what you know:
80*104.4*60=
501,120mm^3
PLEASE HELP DUE TONIGHT (W/ WORK IF POSSIBLE) THANK YOU
Please help me find all the answers.
Answer:
g = 10
Step-by-step explanation:
First, let's find the missing value of the 'C'
180 - 110 = 70 degrees
Now that we have the answer for one side, we can make an equation:
2g + 9g + 70 = 180 (area of a triangle is 180 degrees)
11g + 70 = 180
11g = 180 - 70
11g = 110
g = 110 / 11
g = 10
The value of g is 10 so we can now add them to the expression:
2g = 2(10) = 20
9g = 9(10) = 90
To make sure that you have the correct answer, add the values so that you get an answer as 180:
70 + 20 + 90 = 180
hope this helps....
From the given figure, We can notice that :
∠BCA + 110° = 180° (Because they make a Linear Pair)
⇒ ∠BCA = 180° - 110°
⇒ ∠BCA = 70°
We know that : Sum of the Angles in a Triangle should be equal to 180°
⇒ 2g° + 9g° + ∠BCA = 180°
⇒ 11g° + 70° = 180°
⇒ 11g° = 180° - 70°
⇒ 11g° = 110°
⇒ g° = 10°
⇒ 9g° = (9 × 10) = 90°
⇒ 2g° = (2 × 10) = 20°
15 cm
10 cm
o
10 cm
Diagram NOT accurately drawn
The diagram shows a sector of a circle, centre 0, radius 10 cm.
The arc length of the sector is 15 cm.
Calculate the area of the sector.
Answer:
221cm squre
Step-by-step explanation:
Select the correct answer from each drop-down menu.
Complete the number sentence to represent finding the fair share of goldfish in each bowl.
Answer:
30/5=6
Step-by-step explanation:
There’s 30 fish put into five bowls, and there’s six fish in each
Which of the following steps were applied to ABCD to obtain A'B'C'D'?
PLZZZZ HELP
Answer:
D
Step-by-step explanation:
Since all the points were shifted the same way, I'll just use point A and point A'.
Point A starts at (3,5) and A' is at (5,2)
If the subract the x coordinates: 5-3=2
Then subtract the y coordinates: 2-5=-3
The 2 is positive, so it is 2 units to the right (the positive x direction) and -3 is negative so 3 units down (negative y direction)
Which value for the constant d makes x=-1 an extraneous solution in the following equation? square 8-x = 2x + d. PLEASE
The value for the constant, d which makes x= -1 an extraneous solution is; d=5.
Which value for the constant d makes x=-1 an extraneous solution in the equation?The constant d as given in the task content can be evaluated as follows where, x =-1;
√(8+1) + = 2(-1) +d
√9 = -2 +d
3 = -2 +d.
d = 5.
Read more on equations;
https://brainly.com/question/2972832
#SPJ1
Answer:
Step-by-step explanation:
Find the next two terms of each sequence.
1.) -16, 8, -4, 2, ...
2.) 1, 4, 9, 16, 25, ...
Answer:
1)=-1;1
2)=36;49
Step-by-step explanation:
1.)aqui la secuncia es dividir en -2
2.)aqui la secuencia es sumar numeros impares es decir:+3;+5;+7 etc
The toy store had 20 boxes of dolls and 25 boxes of teddy bears. Each box holds 24 of each. How many dolls and teddy bears did the toy store have in all?
Answer:
1080
Step-by-step explanation:
Boxes. # per box. Total
dolls. 20. 24. 480
bears. 25. 24. 600
total. 45. 24. 1080
A guitar factory has a cost of production C(x) = 100x + 56000 , where is the number of guitars produced . If the company needs to break even after 150 units sold, at what price should they sell each guitar ? Use the variable p to represent the price Round up to the nearest dollar .
Answer:
Step-by-step explanation:
If the company wants to just break even, that means that the cost to produce 150 guitars is equal to the price they charge to make a 0 profit. The cost of 150 guitars is
C(150) = 100(150) + 56000 and
C(150) = 71000. That's how much it costs to produce 150 guitars. If they want to make nothing at all, they have to sell the 150 guitars for
p(x) = 71000/150 so
p(x) = 473.33 or 474
Answer:
473.33 units
Step-by-step explanation:
The breakeven point is the level of production at which the costs of production equal the revenues for a product. So, considering P the price of a guitar unit, we have that:
C(150) = 150.P
P = C(150)/150
P = (100.150 + 56000) / 150
P = (15000 + 56000) / 150
P = 71000/150
P ~ 473.33 units of currency per guitar