Write and solve a system of linear equations:
The larger of two numbers is 6 more than 3 times
the smaller. If the twice the larger number is increased by 3 times the smaller, the result is 3.
Find the numbers by solving algebraically. Show your work including the equations.
Answer:
Step-by-step explanation:
My variables are
d=big number
q=small number
My equations are
6=3q
2d+3=q
I will solve for q in first equation
6/3 = 3q/3
2=q
Now I will pluck back in to get d
2d+3=(2)
-3 -3
2d=-1
2d/2=-½
d=-1/4
So the solution is
(-1/4, .2)
Yolanda is buying supplies for school. She buys n packages of pencils at $1.60 per package and m pads
of paper at $2.60 each. What does each term in the expression 1.6n + 2.6m represent? What does the
entire expression represent?
The term 1.6n represents the select)
The term 2.6m represents the (select)
The expression represents the (select)
Answer:
5.2 or 5.2O
Step-by-step explanation:
add 2.6m + 2.60 which means add 2.60 + 2.60
2.60
+2.60
______
5.2 (the zero is optional)
Plz help
4 - (-3)
&
-8 - (-5)
Answer:
4-(-3)=7
-8-(-5)=-3
Step-by-step explanation:
4-(-3)=7
4+3
=7
——
-8-(-5)=-3
-8+5
=-3
A negative times a negative makes a positive
Solve the equation. Use a calculator. c3 = 4 (Round to the nearest tenth as needed.)
Khadija purchased a prepaid phone card for $20. Long distance calls cost 11 cents a minute using this card. Khadija used her card only once to make a long distance call. If the remaining credit on her card is $16.92 , how many minutes did her call last
Answer:
Khadija's my grandmas name
Anyways
Step-by-step explanation:
Let bold r 1 comma ... Comma bold r subscript pbe vectors in set of real numbers r superscript n, and let q be an m times n matrix. Write the matrix left bracket upper q bold r 1 ...Q bold r subscript p right bracket as a product of two matrices (neither of which is an identity matrix).
Answer and Step-by-step explanation:
Let bold r 1 comma ... Comma bold r subscript p be vectors in the set of real numbers r superscript n:
r1,… ,rp be vector in Rn
And let Q be an m times n matrix = Q= m x n
write the matrix left bracket upper q bold r 1 ...Q bold r subscript p right bracket as a product of two matrices = [Qr1, …, QrP], which is a product of two matrices.
To write the product of two matrices.
Use the definition of AB in reverse order:
[Qr1, …, QrP] = Q [r1, …, rp]
= QR
i need someones help
Answer:
y = -1/3x - 2
Step-by-step explanation:
We can use the points (-1, -1) and (5, -3) to solve.
Slope formula is y2-y1/x2-x1
-3-(-1)/5-(-1)
-2/6
-1/3
Find the y intercept.
y = -1/3x + b
-1 = -1/3(-1) + b
-1 = 1 + b
-2 = b
y = -1/3x - 2
Best of Luck!
How many solutions does 2x+5=4+2x+1 have
Answer:
There are infinitely many solutions in the equation, 2x +5 = 4 +2x +1.
(Please comment if you want explanation)
Find the value of x that would prove y is parallel to z. State the converse used to support your answer.
Answer:
[tex] x = 15 [/tex]
Step-by-step explanation:
By the Consecutive Interior Angles Converse, if [tex] (3x + 7) + (10x - 22) = 180 [/tex], then y is parallel to z.
Solve for x
[tex] 3x + 7 + 10x - 22 = 180 [/tex]
Combine like terms
[tex] 3x + 10x + 7 - 22 = 180 [/tex]
[tex] 13x - 15 = 180 [/tex]
Add 15 to both sides
[tex] 13x - 15 + 15 = 180 + 15 [/tex]
[tex] 13x = 195 [/tex]
Divide both sides by 13
[tex] \frac{13x}{13} = \frac{195}{13} [/tex]
[tex] x = 15 [/tex]
Determine whether the pair of lines parallel, perpendicular or neither.
y=1/3x+4. 3x+y=2.
A. Parallel
B. Perpendicular
C. Neither
Any One Know This One
Answer:
no solutions
Step-by-step explanation:
4 + 5m = 4m + 1 + m combine like terms
4 + 5m = 5m + 1 subtract 5m from each side
4 = 1
4 can never equal 1, so no value of m would allow the equation to be correct
The left side 4+5m is the same as 5m+4
Simplifying the right hand side has 4m+1+m turn into 5m+1
The original equation is equivalent to 5m+4 = 5m+1
If we subtract 5m from both sides, the 5m terms cancel leaving us with 4 = 1, but that's not a true statement.
Regardless of whatever value you pick for m, the original equation will not be true.
5x+2[3(x-4)+1]=33
I need this question answered ASAP. Thanks!!!
Answer: x=5
Step-by-step explanation:
Distribute 3 through the parentheses
calculate the sum
disatribute 2 through the parentheses
collect like terms
move constant to the right and change its sign
add the numbers divide both sides of the equation by 11
Write and solve a real-world problem that can be modeled by the equation
0.75x - 18.50 = 0.65x
Answer:
560
Step-by-step explanation:
determine the x and y intercept for the graph of 7x+3
Answer:
y-intercept is 3 and x-intercept is -3/7
Step-by-step explanation:
to find the y-intercept let x = 0 and solve for y.
y=7(0) +3
y=0+3
y=3
to find the x-intercept let y = 0 and solve for x
0 = 7x + 3
-3 = 7x
-3/7 =x
What a equation of 4 less than a number n is -15
Answer:
n-4=-15
Step-by-step explanation:
Earth is approximately 9.3 × 107 miles from the sun. Saturn is approximately 8.87 × 108 miles from the sun. About how much farther is Saturn from the sun than Earth is?
Answer:
Both distances are in the scientific notation:
Earth - Sun = 9.3 * 10^7 miles
Saturn - Sun = 8.87 * 10^8 miles
8.87 * 10^8 - 9.3 * 10^7 =
= 88.7 *10^7 - 9.3 * 10^7 =
= 79.4 * 10^7 = 7.94 * 10 ^8 = 794,000,000 miles
Answer: Saturn is 7.94 * 10^8 miles farther from Sun than Earth is.
Step-by-step explanation:
I hope this helps you :)
-KeairaDickson
1) B. Which method of finding the distance is
the best? Explain
Answer and Step-by-step explanation:
Distance is the numerical measurement to find the space or interval between two objects. Distance also refers to physical length. Point x to point y distance is denoted as |xy|
There are many ways to find out the distance, distance between two objects or two points. The efficient way of finding the distance between two points is given below. Mathematically, the distance between two points on a coordinate plane can be determined by using the distance formula, which is:
d =√((x2-x1)2+(y2-y1)2),
Where (x1, y1) and (x2, y2) coordinates, and d is the distance.
The middle point between these two points is known as midpoint and can find out by using the formula
Midpoint = a + b /2.
The distance between two points number line can also be calculated by using the formula:
AB =|b –a| or |a-b|.
(8b^3 − 6 + 3b^4 ) − (b^4 − 7b^3 − 3) =
Answer:
2b^4 + 15b^3 - 3
Step-by-step explanation:
Determine the equation of the line shown in the graph:
y = 0
x=0
y = 5
x = 5
Answer:
I think it's y=5 because it's a horizontal line
3.79 for 4 avoacado how much is one
who ever answers it gets to be the briliets
So, here we know that for 4 avocados it costs $3.79.
First, lets round 3.79 to the nearest whole because even if we don't it will be the same rounded.
We now have $4.00.
What we do now is we look at the rounded cost and the amount of avocados.
So, for 1 avocado it cost 1 dollar.
If we were to do it without rounding it to the nearest whole we would have $1.05.
Please mark me brainliest i only need 2 more!
x2 + y2 + 17 = 138
Find the radius of the circle
[tex]x^2 + y^2 + 17 = 138\\x^2 + y^2 = 138 - 17\\x^2 + y^2 = 121\\x^2 + y^2 = 11^2\\Radius = 11[/tex]
Jen makes a rectangular banner. It is 3/4 yard long and 1/4 yard wide. What is the area, in square yards, of the banner? Illl give brainlist if you answer please
Answer:
3/4
Step-by-step explanation:
write a polynomial of degree 5 with zero x=0,i square root 7, -2i
Answer:
[tex]P(x)=x^5+11x^3+28x[/tex]
Step-by-step explanation:
Roots of a polynomial
If we know the roots of a polynomial, say x1,x2,x3,...,xn, we can construct the polynomial using the formula
[tex]P(x)=a(x-x_1)(x-x_2)(x-x_3)...(x-x_n)[/tex]
Where a is an arbitrary constant.
We know three of the roots of the degree-5 polynomial are:
[tex]x_1=0;\ x_2=\sqrt{7}\boldsymbol{i}:\ x_3=-2\boldsymbol{i}[/tex]
We can complete the two remaining roots by knowing the complex roots in a polynomial with real coefficients, always come paired with their conjugates. This means that the fourth and fifth roots are:
[tex]x_4=-\sqrt{7}\boldsymbol{i}:\ x_3=+2\boldsymbol{i}[/tex]
Let's build up the polynomial, assuming a=1:
[tex]P(x)=(x-0)(x-\sqrt{7}\boldsymbol{i})(x+\sqrt{7}\boldsymbol{i})(x-2\boldsymbol{i})(x+2\boldsymbol{i})[/tex]
Since:
[tex](a+b\boldsymbol{i})\cdot (a-b\boldsymbol{i})=a^2+b^2[/tex]
[tex]P(x)=(x)(x^2+7)(x^2+4)[/tex]
Operating the last two factors:
[tex]P(x)=(x)(x^4+11x^2+28)[/tex]
Operating, we have the required polynomial:
[tex]\boxed{P(x)=x^5+11x^3+28x}[/tex]
What is the quotient in simplest form?
12/7 divided by 3
7/36
4/7
1 3/4
5 1/7
Answer 7/36......
Explanation
how much can 6 go in 3
Answer: 6 cannot go into 3 because it is a larger number but 3 can go into 6 twice because 3x2=6
Answer:
If you can go into fractions 6 can go into 3 half a time, but if you can't do that then say 6 can't go into 3.
Step-by-step explanation:
Help :) !!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
B, because no misleading
A car rental company offers the following two plans for renting a car:
Plan A: 30 dollars per day and 11 cents per mile
Plan B: 50 dollars per day with free unlimited mileage
Q: How many miles must one drive in order to justify choosing Plan B?
Answer:
181.8181818181...
Step-by-step explanation:
50 = 30 + 11X
X = 181.81818181...
brainliest and points
Which equation could you use to solve this word problem?
A. 6 + 2 = ?
B. 6 2 = ?
C. 6 × 2 = ?
D. 6 - 2 = ?
Answer:
C
Step-by-step explanation:
Toya's dachshund puppy can sprint at a speed up to 15 feet per second. What is this speed in inches per
second?
2(x+2)-4(x-1)=14
What do you need to do first to solve this expression
