9514 1404 393
Answer:
(x1, x2) = (3, -4)
Step-by-step explanation:
As with any 2-step linear equation, subtract the constant, then multiply by the inverse of the coefficient of the variable.
[tex]\left[\begin{array}{cc}3&2\\5&5\end{array}\right]\left[\begin{array}{c}x\\y\end{array}\right]+\left[\begin{array}{c}1\\2\end{array}\right]=\left[\begin{array}{c}2\\-3\end{array}\right]\\\\\left[\begin{array}{cc}3&2\\5&5\end{array}\right]\left[\begin{array}{c}x\\y\end{array}\right]=\left[\begin{array}{c}1\\-5\end{array}\right]\\\\\left[\begin{array}{c}x\\y\end{array}\right]=\dfrac{1}{5}\left[\begin{array}{cc}5&-2\\-5&3\end{array}\right]\left[\begin{array}{c}1\\-5\end{array}\right][/tex]
Performing the multiplication of the matrix by the vector gives the solution.
x = ((5)(1) +(-2)(-5))/5 = 15/5 = 3
y = ((-5)(1) +(3)(-5))/5 = -20/5 = -4
Using your variables, x1, x2, the solution is ...
(x1, x2) = (3, -4)
The area of a rectangle is 48ft2. The length is 3 times the width. Which of the following equations can be used to solve for the width?
Answer:
Width of rectangle = 4 ft
Step-by-step explanation:
Given:
Area of rectangle = 48 ft²
Length of rectangle = 3[Width of rectangle]
Find:
Width of rectangle
Computation:
Assume;
Width of rectangle = a
So,
Length of rectangle = 3[Width of rectangle]
Length of rectangle = 3a
Area of rectangle = l x b
48 = 3a x a
3a² = 48
a² = 16
a = 4
Width of rectangle = 4 ft
Length of rectangle = 3[Width of rectangle]
Length of rectangle = 3[4]
Length of rectangle = 12 ft
Simplify:
4n + 6 -(5n+3)
A. -n +3
B. -n +9
C. 9n + 3
D. 9n +9
Answer:
Answer is A.
-n+3
Step-by-step explanation:
4 (x + 5)=12 what is x?
Answer:
x = -2
Step-by-step explanation:
4(x + 5) = 12
4x + 20 = 12
4x + 20 - 20 = 12 - 20
4x = -8
4x / 4 = -8 / 4
x = -2
Hope this helps, thank you :) !!
A 3 ounces b 4 ounces c 12 ounces or D 15 ounces helps plsss
Answer:
D 15
Step-by-step explanation:
[tex]\frac{5}{20}[/tex]=[tex]\frac{x}{60}[/tex]
draw the image of ABC under a translation by five units to the left
Answer:
(x,y) --->(x-5,y)
A(-1.1)--->A¹(-6,1)
B(2,-4)-->B¹(-3,-4)
C(3,0) --> c¹(-2,0)
hope it helps
have a great day
Each small square in the figure below measures 1 foot on each side what is the area of the triangle
Answer:
It should be 0.5 if I’m wrong let me know
Step-by-step explanation:
A=HbB/ 2 = 1x1/2=0.5
Determine the slope and y-intercept of each linear function below y=x/3-1
Answer:
Slope= 1/3
y-int: -1
Step-by-step explanation:
Please help ASAP!!!!!
Answer:
First term of the given series = 4
The last term of the given series = 11
Step-by-step explanation:
Explanation
Given that the sum of the series
∑⁸ₙ₋₁ (n+3)
The [tex]n^{th}[/tex] term of the given sequence
aₙ = (n+3)
Put n=1
a₁ = 1+3 = 4
Put n=2
a₂ = 2+3 =5
Put n=3
a₃ = 3+3 = 6
Put n=4
a₄ = 4+3 =7
Put n=5
a₅ = 5+3 =8
Put n=6
a₆ = 6+3 =9
Put n=7
a₇ = 7+3 = 10
Put n=8
a₈ = 8+3 =11
The sequence of the given series
4,5,6,7,8,9,10,11
Final answer:-
First term of the given series = 4
The last term of the given series = 11
3 cm
.
.
5 cm
If the base is halved and the height is quadrupled, then which of the following statements
about its area will be true?
Answer:
I think 7
Step-by-step explanation:
if the moon is purple then what toothpaste do u use on your but
Indria is wrapping the box below. How much wrapping paper does she need 8in 6in 3 in
Answer:
6pulgadas
Step-by-step explanation:
Please help 13 points number 3 no links !
Answer:
H
Step-by-step explanation:
[tex]\frac{1}{4} + \frac{4}{5} = 1\frac{1}{20}[/tex]
Answer:
Hi, using L.C.M, It will be option H
What is the mean absolute deviation of each swim club?
A:5
B:50
C:0
D:10
Answer:
c
Step-by-step explanation:
The fuel efficiency for a new helicopter engine is given by the continuous function r(c) where r is measured in gallons per mile ....
The question is incomplete. The complete question is :
The fuel efficiency for a new helicopter engine is given by the continuous function r(c) where r is measured in gallons per mile and c is measured in miles. What are the units of [tex]$\int_0^7 r(c) \ dc$[/tex] ?
Solution :
The given continuous function is :
r(c), here c is measured in miles and the unit of r is measured in gallons per mile.
So the unit of [tex]$\int_0^7 r(c) \ dc$[/tex] is given by :
= gallons per mile x mile
= gallons
So, the final unit is gallons.
What are the vertices of angle A’B’C’ if angle ABC is dilated by a scale factor of 2?
Answer:
The answer is A
Step-by-step explanation:
a=(0,10)×2, b =(8,6)×2 c=(4,2)×2
Ethan has a piece of string that is 6 meters long. He cuts the string into 3 pieces of equal length. How many centimeters long is each piece of string?
9514 1404 393
Answer:
200 cm
Step-by-step explanation:
1 meter is 100 cm, so 6 meters is 600 cm. Each piece is 1/3 of that, so is ...
(600 cm)/3 = 200 cm . . . length of each piece
is 12cm, 24cm, 29cm a right triangle
YES OR NO
Answer: no it is 10,24,26
Step-by-step explanation:
I was unsure if my answer was incorrect please help
If there are 35 learners in this class, then determine the percentage of
learners who obtained a distinction (( > 80%).
Answer:
The question is an incomplete question
18 out of 20 to percentage
Answer:
90%
Step-by-step explanation:
please answer faster then I will mark you branliest
Answer:
4. The strength of class V is 300
5. Meenakshi bought a TV for Rc 46,000
Step-by-step explanation:
4. To round to the nearest hundred, check the number in the 'tens'. If its five or greater, round up, and if its lower than 5, round down. In this case it was 7, so we rounded up to 300.
5. To round to the nearest thousand, check the number in the 'hundreds'. If its five or greater, round up, and if its lower than 5, round down. In this case it was 3, so we rounded down to 46,000.
Inequality of t+250+800
Answer:
2983839i8
468393749493948
Hsjejrhrjjh4u4i84748394
Je83847483
373783838383884
373838383
Jkffffffffffffffffffffffffffffdddfddfffffffddddddddddddddddddfffffffffffffffffffffffffff
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.
y=-15x^2+801x-5900
Answer:
In order to maximize profit, each widget should sell for $26.70.
Step-by-step explanation:
The total amount of profit y given by the selling price of each widget x is given by:
[tex]y=-15x^2+801x-5900[/tex]
And we want to determine the price of each widget such that is yields the maximum profit.
Since the equation is a quadratic, the maximum profit will occur at the vertex of our parabola.
The vertex of a quadratic is given by:
[tex]\displaystyle \left(-\frac{b}{2a},f\left(-\frac{b}{2a}\right)\right)[/tex]
So, let's find the vertex. In our equation, a = -15, b = 801, and c = -5900.
Therefore, the price that maximizes profit is:
[tex]\displaystyle x=-\frac{801}{2(-15)}=\$26.70[/tex]
Therefore, in order to maximize profit, each widget should sell for $26.70.
Notes:
Then substituting this back into the equation, the maximum profit is:
[tex]y_{\text{max}}=-15(26.7)^2+801(26.7)-5900=\$ 4793.35[/tex]
5m²+15m=0
t²-5t+6=0
5p²+12p+4=0
2a²+10a-48=0
x(2x+5)=0
Answer:
m=1, m= -3
t=3, t=2
p= -0.4, p= -2
a= 3, a= -8
x=0, x= -2.5
Answer:
I hope this helps a little bit.
It Is Not Fake
It Got Answers Promise
What is the exact value of sin(345degree)?
Answer:
Step by-step explanation:
cos(90-345)
cos(-255)
I know it doesnt match exactly, but it should give you what you need in toder to get the right answer. Hope this helps!
PLEASE HELP DUE TODAY
9514 1404 393
Answer:
16 square units
Step-by-step explanation:
When you plot the points, you see they define a trapezoid with bases of lengths 2 and 6, and a height of 4. The area formula is ...
A = (1/2)(b1 +b2)h
A = (1/2)(2 +6)(4) = 16
The area of the trapezoid is 16 square units.
Find the circumference of the circle and round to the nearest tenth
Answer:
circumference of circle = 2×pi×r
circumference of circle = 2×3.14×12.7
circumference of circle = 79.756 in
If sin x=3/4,then cos x
A scuba diver descended 20 1/5 feet below sea level. Then, he descended another 3/ 1/5 feet. Which of the following is true about the scuba diver after both descents?
A.
The location of the scuba diver in relation to sea level was feet.
B.
The location of the scuba diver in relation to sea level was feet.
C.
The location of the scuba diver in relation to sea level was feet.
D.
The location of the scuba diver in relation to sea level was feet.
Answer:
A, B, C, and D
Step-by-step explanation:
all answer choices are the same
If ∠C and ∠D are complementary angles, m∠C = (4x + 3)°, find m∠D = (15x - 8)°, find m∠D.
Answer:
67
Step-by-step explanation:
4x+3+15x-8=90(complementary angle)
x=5
now D = 15*5-8
d=67
Find the solution set of the inequality:
-3x + 8 < 15
Answer:
the answer would be x>-7/3