Answer:
x = -1.29 and -2.71
Step-by-step explanation:
Use the quadratic formula, which is [tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex] and [tex]x=\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]
[tex]\frac{-8+\sqrt{8^2-4(2)(7)} }{2(2)}[/tex] and [tex]\frac{-8-\sqrt{8^2-4(2)(7)} }{2(2)}[/tex]
[tex]\frac{-8+\sqrt{8} }{4}[/tex] and [tex]\frac{-8-\sqrt{8} }{4}[/tex]
Further reduced down to:
[tex]\frac{-8+2\sqrt{2} }{4}[/tex] and [tex]\frac{-8-2\sqrt{2} }{4}[/tex]
In decimal form, to the hundredths place, both of these are:
-1.29 and -2.71
SOMEONE HELP PLEASE. Kylie is raising money for a school trip by selling packs of cookies and bags of chips. The price of each pack of cookies is $1 and the price of each bag of chips is $2. Yesterday Kylie made $42 and she sold 3 times as many bags of chips as packs of cookies. Graphically solve a system of equations in order to determine the number of packs of cookies sold, x, and the number of bags of chips sold, y.
Answer:
cookies (x): 6 soldchips (y): 18 soldStep-by-step explanation:
It is convenient to let a graphing calculator draw the graph for you. It can also display the solution: (x, y) = (6, 18).
__
The equations of interest are ...
x + 2y = 42 . . . . . . revenue from sale of x cookies and y chips
y = 3x . . . . . . . . . . 3 times as many chips as cookies
Answer:
\underline{\text{Variable Definitions:}}
Variable Definitions:
x=
x=
\,\,\text{the number of packs of cookies sold}
the number of packs of cookies sold
y=
y=
\,\,\text{the number of bags of chips sold}
the number of bags of chips sold
Each pack of cookies sells for $1, so xx packs of cookies will bring in 1x1x dollars. Each bag of chips sells for $2, so yy bags of chips will bring in 2y2y dollars. Therefore, the total amount 1x+2y1x+2y equals \$42:$42:
1x+2y=42
1x+2y=42
Since Kylie sold 3 times as many bags of chips as packs of cookies, she sold more bags of chips, so if we multiply 3 by the number of packs of cookies sold, we will get the number of bags of chips sold, meaning yy equals 3x.3x.
y=3x
y=3x
\underline{\text{Write System of Equations:}}
Write System of Equations:
1x+2y=
1x+2y=
\,\,42
42
y=
y=
\,\,3x
3x
\underline{\text{Solve for }y\text{ in each equation:}}
Solve for y in each equation:
\begin{aligned}\color{indianred}{1x}+2y = 42\hspace{10px} & \hspace{10px}\color{green}{y}\color{green}{=}\color{green}{3x} \\[10px] 2y = \color{indianred}{-1x}+42\hspace{10px} & \hspace{10px} & \\[10px] \frac{2y}{2} = \frac{-1x+42}{2}\hspace{10px} & \hspace{10px} & \\[10px] \color{blue}{y} \color{blue}{= -\frac{1}{2}x+21}\hspace{10px}\hspace{10px} & \hspace{10px} & \end{aligned}
1x+2y=42
2y=−1x+42
2
2y
=
2
−1x+42
y=−
2
1
x+21
y=3x
Step-by-step explanation:
Observe how the land division was planned for the preparation of a vegetable garden.
In it, lettuce, tomatoes, carrots, beets and corn will be planted.
Determine the monomial that represents the measure:
1-lettuce
2-beets
3-tomato
4-corn
5-carrot
Answer:
1-lettuce 4ab x 12ab = 48a²b²
2-beets 3ab x 3ab = 9a²b²
3-tomato 4ab x 5ab = 20a²b²
4-corn 2ab x 3ab = 6a²b²
5-carrot 12ab x 3ab = 36a²b²
Step-by-step explanation:
You roll a cube which has the numbers 9, 10, 12, 15, 17, and 18 on it You then spin a spinner which has 4 sections. The letters on the spinner are H, K, F, and A. P(F and 17)
Answer:
Step-by-step explanation:
The fact that the numbers look random and the spinner also looks random doesn't matter. The only thing of importance in both cases is that all the numbers are different (and cannot be made by adding any two together) and all the letters are different
That means you have 6 numbers and 4 letters.
You have a 1/6 chance of throwing the 17
You have a 1/4 chance of spinning the F
P(F and 17) = 1/6 * 1/4 = 1/24
a laptop computer is 1.05 centimeters thick
Answer:
yes and?
Step-by-step explanation:
Find the value of x.
Answer:
52°
Step-by-step explanation:
64×2=128
360-128=232
so,
x=(232-128)/2
or, x=104/2
or, x=52°
2/3 of a number is 20 less than the original number.find the number
find the value
여
3
13
- 9
65
Answer:
pls correct your question
The cost of wire sold by the Thor Company is shown in the graph. What is the cost of wire per foot?
1. $0.20
2. $1.25
3. $4.00
4. $5.00
111111101010100110
Step-by-step explanation:
es 125
What are the zeros of the polynomial function f(x) = x3 − 10x2 + 24x?
Answer:
x=0 x=4 x=6
Step-by-step explanation:
f(x)=x^3 − 10x^2 + 24x
Factor out the greatest common factor
f(x)=x(x^2 − 10x + 24)
Factor inside the parentheses
f(x)=x(x-4)(x-6)
Setting equal to zero
0 = x(x-4)(x-6)
Using the zero product property
x=0 x-4 = 0 x-6 =0
x=0 x=4 x=6
Which fractions are equal to 0.375? Select all that apply. A.) 375/1000 B.) 75/200 C.) 15/4 D.) 3/8 E.) 375/100
Answer:
A.) 375/1000, B) 75/200, D.) 3/8
Step-by-step explanation:
A number can be represented in many forms depending on the situation, it can be represented in form of ratio, decimals, fraction e.t.c.
Given the number 0.375 which is in its decimal form, this number can also be represented in the form of a fraction.
[tex]a)0.375=\frac{0.375}{1} \\ \\multiplying\ by\ \frac{1000}{1000}\ gives:\\\\\frac{0.375}{1}*\frac{1000}{1000}= \frac{375}{1000}\\\\ b) 0.375=\frac{0.375}{1} \\ \\multiplying\ by\ \frac{1000}{1000}\ gives:\\\\\frac{0.375}{1}*\frac{1000}{1000}= \frac{375}{1000}=\frac{5(75)}{5(200)} =\frac{75}{200} \\\\d) 0.375=\frac{0.375}{1} \\ \\multiplying\ by\ \frac{1000}{1000}\ gives:\\\\\frac{0.375}{1}*\frac{1000}{1000}= \frac{375}{1000}=\frac{125(3)}{125(8)}=\frac{3}{8} \\[/tex]
the area of a square is given by s2 and the perimeter is given by 4s, where s is the side length of the square if the side length of a square is 4 inches its area is ... square inches and its perimeter is ... inches
Answer:
Area = s² = 4² = 16 sq. In.
Perimeter = 4s = 4(4) = 16 in.
7(2x-7+1 please help
Answer:
14x-42
Step-by-step explanation:
7(2x-7+1 )
7(2x-6)
14x-42
please help asap it's important!!!
Answer:
486cm^2
Step-by-step explanation:
Surface area of cube = (6a^2)
6×9×9=486.
The sum of two numbers is 83 if one of the number is 7 more than the other find the two numbers?
Answer:
48.5 and 34.5
Step-by-step explanation:
83 divided by 2 and then subtract 7
Answer:
45 and 38 equal 83 and 45 is 7 more than 38
20 POINTS! ***CORRECT*** ANSWER GETS BRAINLIEST!!!!
The fraction model below shows the steps that a student performed to find a quotient.
Which statement best interprets the quotient?
A. There are 5 1/6 three-fourths in 4 1/8
B. There are 5 1/6 three and one-eights in 3/4
C. There are 5 1/2 three and one-eights in 3/4
D. There are 5 1/2 three-fourths in 4 1/8
Answer:
The answer is A pls mark me brainly
PLS HELP BRAINLIST A RHANK YOU AND 5 STARS
Answer:
Hey there!
x=95
This is because x and the angle of 95 degrees are vertical angles, and vertical angles are congruent to each other.
Let me know if this helps :)
if A=(p,q,r) write all possiblesubsets of A
Answer:
Given, A={p,q,r}.
Now, possible subsets of A are ,{p},{q},(r) {p,q}.
(q,r) (p,r) (p,q,r)
A county fair sold 1,750 tickets, each of which was either an adult or children's ticket, and earned a total of \$27,000. The fair earned 25\% more from adult tickets than from children's tickets, but sold 25\% fewer adult tickets than children's tickets. How much did a children's ticket cost
Answer:
Step-by-step explanation:
Let the number children tickets = c
Number of adult tickets = 75% of c = 0.75c
c + 0.75c = 1750
1.75c = 1750
c = 1750/1.75 = 1000
Number of children = 1000
Number of adults = 75% of 1000 = 750
Cost of adult ticket = $ x
Cost of child ticket = 75% of x = 0.75x
Cost of 750 adult ticket = 750x
Cost of 1000 children ticket = 1000 * 0.75x = 750x
750x + 750x = 27000
1500x = 27000
x = 27000/1500
x = $ 18
Cost of adult ticket = $ 18
Cost of children ticket = 75% of 18 = 0.75 * 18 = $ 13.5
Cost of children's ticket = $ 13.50
show that (x-1) is a factor of x¹⁰-1
Answer:
The answer is 0 X=1
1. x10-1
(1)10-1
1-1
=0
2. x11-1
(1)11-1
1-1
=0
Step-by-step explanation:
a number with 2 consecutive natural digits, how many units will it increase if written in reverse order. Detail solution pls
Answer:
It will increase by 9 units.
Step-by-step explanation:
We can write the lowest number as 10a + (a + 1) and the highest is the reverse which is 10(a + 1) + a.
Subtracting:
10(a + 1) + a - (10a + a +1)
= 10a + 10 + a - 10a - a - 1
= 10a - 10a + a - a + 10 - 1
= 10 - 1
= 9.
I WILL MARK BRAINLIEST!f(x)=x/x-7
Determine for each x-value whether it is in the domain of f or not
Answer:
see explanation
Step-by-step explanation:
Given
f(x) = [tex]\frac{x}{x-7}[/tex]
The denominator cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the value that x cannot be.
solve
x - 7 = 0 ⇒ x = 7 ← excluded value
Thus
x = - 7 → in domain
x = 0 → in domain
x = 7 → not in domain
Answer:
-7= in domain
0= in domain
7= not in domain
Step-by-step explanation:
give the other person brainliest not me! they did really good!!!!
Please help with this
Find the area of the shaded regions.
Answer:
The area of the shaded region is 7π square centimeters.
Step-by-step explanation:
Note that Circle B has a radius of 3 cm, and the two smaller circles, Circles O and C, both have a radius of 1 cm.
The area of a circle is given by:
[tex]\displaystyle A = \pi r^2[/tex]
Therefore, the area of Circle B, the entire circle, is:
[tex]\displaystyle \begin{aligned} A_B &= \pi (3)^2 \\ &= 9\pi \end{aligned}[/tex]
The area of Circle O is:
[tex]\displaystyle \begin{aligned} A_O &= \pi (1)^2 \\ &= \pi \end{aligned}[/tex]
And likewise, the area of Circle C is:
[tex]\displaystyle \begin{aligned} A_C &= \pi (1)^2 \\ &= \pi \end{aligned}[/tex]
The area of the shaded area is the area of the Circle B subtracted by the area of Circles O and C. Hence:
[tex]\displaystyle A_\text{shaded} =A_B - \left(A_ O + A_ C\right)[/tex]
Substitute and evaluate:
[tex]\displaystyle \begin{aligned} A_\text{shaded} &= (9\pi ) - (\pi + \pi) \\ &= 9\pi - 2\pi \\\ &= 7\pi \end{aligned}[/tex]
The area of the shaded region is 7π square centimeters.
An octagonal pyramid ... how many faces does it have, how many vertices and how many edges? A triangular prism ... how many faces does it have, how many vertices and how many edges? a triangular pyramid ... how many faces does it have, how many vertices and how many edges?
1: 8 faces and 9 with the base 9 vertices and 16 edges
2: 3 faces and 5 with the bases 6 vertices and 9 edges
3: 3 faces and 4 with the base 4 vertices and 6 edges
Answer:
Step-by-step explanation:
Octagonal pyramid has 8 sloping faces and the base.
Total 9 faces.
Also 8 slope edges and 8 base edges
Total 16 edges.
It has 1 + 8
Total 9 vertices.
A Triangular prism has 5 faces and 9 edges.
Also 6 vertices.
Triangular pyramid has 4 faces, 4 vertices and 6 edges.
Note: The relation betseem faces, vertices and sdges in a polyhedron is given by Euler's formula:
T + V - E = 2
So we see, for an octagonal pyramid:
9 + 9 - 16 = 2.
[tex]4 - \frac{2}{3}x = \frac{x - 6}{5} [/tex]
x=? Please tell
Which transformations to the graph of j(x) would result in the graph of j(4x)-27
Answer:
Composition and vertical translation must be done in the parent function.
Step-by-step explanation:
Let be [tex]j(x)[/tex] the parent function, if [tex]g(x) = j(4\cdot x) -27[/tex], then two transformation must be done in the following order:
Composition
[tex]j \circ h (x) \rightarrow j(h(x))[/tex], where [tex]h(x) = 4\cdot x[/tex]
Vertical translation
[tex]g(x) = j(4\cdot x) -27[/tex]
Composition and vertical translation must be done in the parent function.
Answer: Option D
Horizontal compression by a factor of 1/4, and a translation 27 units down
YA'LL PLEASE PLEASE PLEASE PLEASE PLEASE HELP MEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Find the equation of the line passing through (1, 5) and parallel to y = 3x – 1.
please show how you got it so I can see if the answer makes sense!!!!
Answer: y= 3x+2
Step-by-step explanation:
because....
The slope-intercept form is y= mx +b, where m is the slope and b is the y-intercept.Use the slope 3 and a given point (1,5) to substitute for and in the point-slope form .
y-(5)= 3*(x-(1))
After simplifying it,
the equation is going to be y= 3x+2.
* Hopefully this helps:) Mark me the branliest!
When factoring 6x2−7x−20 by grouping, how should the middle term be rewritten?
It should be written as 8x−15x.
It should be written as −2x−5x.
It should be written as x−8x.
It should be written as −x−7x.
I think its B but im not sure
Is the given equation a quadratic equation? Explain.
x(x−6)=−5
The equation is not a quadratic equation because there is no x2-term.
The equation is a quadratic equation because there is an x2-term.
The equation is not a quadratic equation because the expression is not equal to zero.
The equation is not a quadratic equation because there is a term with degree higher than 2.
Which of the following is an example of the difference of two squares? x2−9
x3−9
(x+9)2
(x−9)2
Answer:
(3x+4)(2x-5)
Step-by-step explanation:
Factor by grouping.
7(x+1)=21 solve for x
DECIDE !!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
[tex]2020x-215y=10000\\\\y=\dfrac{2020x-10000}{215} =\dfrac{404x-2000}{43} =9x-46+\dfrac{17x-22}{43} \\\\\\17x-22\ must\ be\ divisible\ by\ 43\\\\\Longrightarrow\ x=19+43*k[ method \ of\ Gauss\ or\ theorem\ of\ Bezout)\\\\\\min(x+y)=min(10*(19+43*k)-46+\dfrac{17(19+43k)-22}{43} )\\=min(151+447k)\\\\is\ min\ if\ k=0\\\\x=19\\y=9*19-46+\dfrac{17*19-22}{43} =171-46+7=132\\\\x+y=151\\[/tex]
Which of the following is most likely missing from your financial plan if you are not prepared for an emergency?
a financing
b. a budget
c. investments
d. savings
Answer: d. savings
Step-by-step explanation:
First, what is an emergency?
Well, it depends on the situation, but suppose that you have a store where you sell edibles.
Some of these edibles may need to be stored in fridges, now suppose that one of the fridges breaks. That is an emergency, now you need to replace it the faster you can. In this point, you need to use savings specially prepared for situations like this.
So the correct option is d: savings.