Answer:
x = 3
Step-by-step explanation:
[tex]8x + 11 = 12x - 1 \\ 8x - 12x = - 1 - 11 \\ - 4x = - 12 \\ x = 3[/tex]
Determine a quadratic equation that has 7 and -4 as solutions.
Answer:
(x+x1)(x-x2)
let x1=7 and x2=-4
(x+7)(x-(-4))
(x+7)(x+4)
x^2+4x+7x+28
x^2+11x+28
One positive number is 2 more than twice another. If their product is 1012, find the numbers.
Answer:
46 and 22
Step-by-step explanation:
22 x 2 = 44
44 is 2 less than 46
46 x 22 = 1012
Which of the following is a true statement of the figure
Answer:
The last one
Step-by-step explanation:
Who ever gets it correctly gets 100 points
Answer:
A,C,D
Step-by-step explanation:
find dy/dx x=a(cost +sint) , y=a(sint-cost)
Answer:
[tex]\begin{aligned} \frac{dy}{dx} &= \frac{\cos(t) + \sin(t)}{\cos(t) - \sin(t)} \end{aligned}[/tex] given that [tex]a \ne 0[/tex] and that [tex]\cos(t) - \sin(t) \ne 0[/tex].
Step-by-step explanation:
The relation between the [tex]y[/tex] and the [tex]x[/tex] in this question is given by parametric equations (with [tex]t[/tex] as the parameter.)
Make use of the fact that:
[tex]\begin{aligned} \frac{dy}{dx} = \quad \text{$\frac{dy/dt}{dx/dt}$ given that $\frac{dx}{dt} \ne 0$} \end{aligned}[/tex].
Find [tex]\begin{aligned} \frac{dx}{dt} \end{aligned}[/tex] and [tex]\begin{aligned} \frac{dy}{dt} \end{aligned}[/tex] as follows:
[tex]\begin{aligned} \frac{dx}{dt} &= \frac{d}{dt} [a\, (\cos(t) + \sin(t))] \\ &= a\, (-\sin(t) + \cos(t)) \\ &= a\, (\cos(t) - \sin(t))\end{aligned}[/tex].
[tex]\begin{aligned} \frac{dx}{dt} \ne 0 \end{aligned}[/tex] as long as [tex]a \ne 0[/tex] and [tex]\cos(t) - \sin(t) \ne 0[/tex].
[tex]\begin{aligned} \frac{dy}{dt} &= \frac{d}{dt} [a\, (\sin(t) - \cos(t))] \\ &= a\, (\cos(t) - (-\sin(t))) \\ &= a\, (\cos(t) + \sin(t))\end{aligned}[/tex].
Calculate [tex]\begin{aligned} \frac{dy}{dx} \end{aligned}[/tex] using the fact that [tex]\begin{aligned} \frac{dy}{dx} = \text{$\frac{dy/dt}{dx/dt}$ given that $\frac{dx}{dt} \ne 0$} \end{aligned}[/tex]. Assume that [tex]a \ne 0[/tex] and [tex]\cos(t) - \sin(t) \ne 0[/tex]:
[tex]\begin{aligned} \frac{dy}{dx} &= \frac{dy/dt}{dx/dt} \\ &= \frac{a\, (\cos(t) + \sin(t))}{a\, (\cos(t) - \sin(t))} \\ &= \frac{\cos(t) + \sin(t)}{\cos(t) - \sin(t)}\end{aligned}[/tex].
Which of the following is the best example of kinetic energy?
A book sitting on a bookshelf
A golfer preparing to putt the ball
A race car in position at the start line
A satellite orbiting the Earth
Answer:
i had this question a little while back and the right answer was
d. a satellite orbiting the Earth.
(:
1. Which is an example of an algebraic expression?
Answer:
3-a
Step-by-step explanation:
it involves variables like x, y, z
in this case a
what is 6% of 3125
Answer:
187.5
Step-by-step explanation:
6% of 3125
=> 6/100 x 3125
=> 18750/100
=> 187.5
Help!!!!!!!!!!!!!!
2x+3=x-7
Answer:
x = - 10Step-by-step explanation:
2x+3=x-7
=> 2x - x = - 7 - 3
=> x = -10 (Ans)
Complete the equation. (x-2)(x^2 + 2x + 4) = ( , )
Answer:
Step-by-step explanation:
x(x² + 2x + 4)-2((x² + 2x + 4)
x³+2x²+4x -2x²-4x-8
x³-8
find the distance between each pair of points if necessary round to the nearest tenth.
17. A(6,7),B(-1,7)
18. C(5,-5),D(5,3)
19. E(-1,0),F(12,0)
20. Q(2,-6),T(10,0)
21. H(20,-4),I(-4,3)
22. J(-5,5),K(-3,-2)
I will give brainliest please help and show work
Step-by-step explanation:
q17
[tex]d = \sqrt{ {(7 - 7)}^{2} + {(6 - ( - 1))}^{2} } = 7[/tex]
q18
[tex]d = \sqrt{ {(5 - 5)}^{2} + {(3 - ( - 5))}^{2} } = 8[/tex]
q19
[tex]d = \sqrt{ {(12 - ( - 1))}^{2} + {(0 - 0)}^{2} } = 12[/tex]
q20
[tex]d = \sqrt{ {(10 - 2)}^{2} + {(0 - ( - 6))}^{2} } = 10[/tex]
q21
[tex]d = \sqrt{ {(3 - ( - 4))}^{2} + {(( - 4) - 20)}^{2} } = 25[/tex]
q22
[tex]d = \sqrt{ {(( - 3) - ( - 5))}^{2} + {(( - 2) - 5)}^{2} } = 7.1[/tex]
Which statement is true regarding the graphed functions?
euf
12
40
B
4
914
2
1 2
3
4.
5
B
X
I f 5 4 3 2 12)
-4
B
be
10
2
141
f(4) = g(4)
f44) = (1-2)
You are wrapping a gift box that is 16 inches long,
7 inches wide, and 9 inches tall. Find the amount of
wrapping paper you need to wrap the gift box to the
nearest square inch.
Answer:
1008 inches
Step-by-step explanation:
i need help this question?
5x2 + 7% -2x2 - 10x + 5
Answer:
[tex] \frac{1107}{100} - 10x[/tex]
Step-by-step explanation:
[tex]5x2 + 7\% - 2 \times 2 - 10x + 5[/tex]
➡️ [tex]10 + 7\% - 2 \times 2 - 10x + 5[/tex]
➡️ [tex]10 + \frac{7}{100} - 2 \times 2 - 10x + 5[/tex]
➡️ [tex]10 + \frac{7}{100} - 4 - 10x + 5[/tex]
➡️ [tex]11 + \frac{7}{100} - 10x[/tex]
➡️ [tex] \frac{1107}{100} - 10x[/tex]
Which represents a function?
Answer:
B
Step-by-step explanation:
For a function to be a function, every x value can only equal a single y value. A has two y values for one x value, and so does C and D. This leaves only B.
Help!!!!! Pleaseee I don’t understand
Answer:
Question 22: x = 3Question 23: AB = 10Question 24: BD = 14Question 25: CE = 17Concept:
Here, we need to know the idea of the segment addition postulate.
The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
If you are still confused, you may tell me or refer to the attachment below for a graphical explanation.
Solve:
Question 22. If AC = 16, what is x?
Given information
AC = 16
AB = x + 7
BC = 2x
Given expression deducted from the segment addition postulate
AB + BC = AC
Substitute values into the expression
x + 7 + 2x = 16
Combine like terms
x + 2x + 7 = 16
3x + 7 = 16
Subtract 7 on both sides
3x + 7 - 7 = 16 - 7
3x = 9
Divide 3 on both sides
3x / 3 = 9 / 3
[tex]\boxed {x=3}[/tex]
Question 23. What is AB?
Given information
x = 3
Given expression deducted from the segment addition postulate
AB = x + 7
Substitute values into the expression
AB = (3) + 7
[tex]\boxed {AB=10}[/tex]
Question 24. What is BD?
Given information
BC = 2x
CD = 3x - 1
x = 3
Given expression deducted from the segment addition postulate
BD = BC + CD
Substitute values into the expression
BD = 2x + 3x - 1
BD = 2(3) + 3(3) - 1
BD = 6 + 9 - 1
BD = 15 - 1
[tex]\boxed {BD=14}[/tex]
Question 25. What is CE?
Given information
CD = 3x - 1
DE = 2x + 3
x = 3
Given expression deducted from the segment addition postulate
CE = CD + DE
Substitute values into the expression
CE = 3x - 1 + 2x + 3
CE = 3(3) - 1 + 2(3) + 3
CE = 9 - 1 + 6 + 3
CE = 8 + 6 + 3
CE = 14 + 3
[tex]\boxed {CE=17}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
|72| ÷ |-12| =
?????????
Answer:
6
Step-by-step explanation:
|72| ÷ |-12|
Absolute value of 72 = 72
Absolute value of -12 = 12
72 ÷ 12 = 6
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Over a period of 1 1/4
-
years
5/
16
in. of tread has worn off a tire. What was the average tread wear per year?
formula if cos2A in terms of multiple angle
Answer:
1/sec is rhe answer of 2 cos A
0.2 kg
2m
9.8g
Pls help quick
Emily Bought the Following items for Christmas gifts for her Friends: 5 Hannah Montana calendars, 3 DVDs, 2 books, 1 Monopoly game, 8 CDs, 1 Box of Candy, and 2 gift Cards to Walmart.What is the Ratio of DVDs to the total number of Gifts.
Answer:
Ig its 22:3
Step-by-step explanation:
First we add all the gifts and put it in the ratio and the other is 3 dvds
26) Using the formula I = PRN, calculate the simple interest (I) on $1500 at 3% p.a. for 8 years. Show working i.e. P = 1500, R = 3% , N= 8
Answer:
I = $360
Step-by-step explanation:
Calculate the interest I using
I = PRN
with P = 1500, R = 3% = [tex]\frac{3}{100}[/tex] = 0.03 , N = 8 , then
I = $1500 × 0.03 × 8 = $360
Alec wants to purchase a new phone that costs $159.00. His current average net pay is $167.91 each week. What percent of his weekly net pay does Alec need to save each week, for the next six weeks, to reach his goal? Round to the nearest hundredth. (1 point)
1.58%
9.09%
15.78%
9514 1404 393
Answer:
15.78%
Step-by-step explanation:
Let x represent the fraction of pay that Alec needs to save each week. Then at the end of 6 weeks, he will have ...
159.00 = 6(x(167.91))
x = 159.00/(6·167.91) ≈ 0.157823 ≈ 15.78%
Alec will need to save 15.78% of his pay.
_____
Additional comment
We recognize that $159 is almost a whole paycheck of $168, so Alec needs to save approximately 1/6 of his paycheck each week. We know that 1/6 = 16.67%, so the nearest reasonable answer choice is 15.78%.
Show Work! There are 380 students, teachers, and chaperones going on school buses for a field trip. Each school bus can hold 68 passengers. Everyone will ride on a school bus. How many school buses does this group need?
Answer:
6 buses
Step-by-step explanation:
i believe you just have to divide 380/68
then it'll give you 5.5 and then have to round to the nearest integer
what is the answer to this problem (40+35+2(30+25))/5
Answer:
37
Step-by-step explanation:
Answ 925
Step-by-step explanation:
Please help and please give explanation
Answer: -5 i guess i might b wrong i dont know -5
Step-by-step explanation:
Add the Following Fractions:
\large \frac{3}{8}+\frac{2}{8}=?
a. 5/16
:b. 5/8
c. 6/8
d. 1/8
Answer:
B. [tex]\frac{5}{8}[/tex]
Explanation:
Because the denominators (bottom numbers) of both fractions are the same, we simply just add the numerators (top numbers) and keep 8 as the denominator.
Solve for x: 5x + 2 = 4x − 9.
7
−7
11
−11
Answer:
x= -11
Step-by-step explanation:
5x+2=4x-9 subtract 2 from both sides
5x+2-2=4x-9-2
5x=4x-11 subtract 4x from both sides
5x-4x=4x-4x-11
x= -11
hope that helps>3
1109,1116,1123 what’s next
Answer:
C. 1130
BRAINLIEST, PLEASE!
Step-by-step explanation:
1109 + 7 = 1116
1116 + 7 = 1123
1123 + 7 = 1130
The value of the missing number is 1130.
Missing numberThe missing number in the series can be determined by finding the common difference or pattern of the numbers.
let the common difference = d
1109 + 7 = 1116
1116 + 7 = 1123
1123 + 7 = 1130
Thus, the value of the missing number is 1130.
Learn more about missing numbers here: https://brainly.com/question/1241542
Simplify
5(x + 8) - 2x = 7(x + 10)
Answer:
-15/2
Step-by-step explanation:
5(x + 8) - 2x = 7(x + 10)
=> 5x + 40 - 2x = 7x + 70
=> 3x + 40 = 7x + 70
=> 3x - 7x = 30
=> -4x = 30
=> x = -30/4
=> x = -15/2