Answer:
(x, y) = (5, -4)
Step-by-step explanation:
The second equation gives you an expression for x that can be substituted into the first equation.
(2y +13) -3y = 17 . . substitute for x in the first equation
-y = 4 . . . . . . . . . . . subtract 13 and simplify
y = -4
x = 2(-4) +13 = 5 . . . use the second equation to find the value of x
The solution is (x, y) = (5, -4).
_____
Additional comment
When faced with a system of linear equations, the first step is to look at them and observe where the variable terms are, and any relationships between coefficients. Several options are generally open to you for solving the equations. Methods generally taught first are ...
substitutioneliminationSubstitution is handy when one of the variables or variable terms can be written (easily) in terms of the other variable. Elimination is handy when some simple multiple of one of the equations can be added to the other equation to cancel one of the variable terms (eliminate it).
Other available methods include matrix methods, Cramer's rule, and graphing. Working knowledge of all of these methods will help you identify the one that will be easiest to use in any given situation.
The availability of calculators able to use these methods greatly simplifies the task of finding a solution. It is simply a matter of entering the equations in the appropriate form.
One of my favorites is the graphing calculator, which only requires you type in the given equations and click on the solution point to find its coordinates.
Evaluate the expression if r = 2 and y = 3 3r2 + 2y
Step-by-step explanation:
please mark me as brainlest
HELP ASAP PLEASE!!
full work shown gets brainliest!!
What is the product of 8 radical 5and 2 radical 30 in simplest radical form?
Answer:
= 40√6
Step-by-step explanation:
least common multipler of 8,2:8
Algebra 2 How many Real solutions does the equation have? X-1 squared = x-4
The solutions are where the lines cross each other.
The lines only cross each other once so there is 1 real solution.
Answer: 1
write 1+√-32/4 as a complex number in the form a + bi, where a and b are real numbers.
a. 1/4+1/2√2i
b. 1/4+1/4√2i
c. 1/4+√2i
d. 1/4+4√2i
Work Shown:
[tex]\frac{1+\sqrt{-32}}{4}\\\\\frac{1+\sqrt{-1*16*2}}{4}\\\\\frac{1+\sqrt{-1}*\sqrt{16}*\sqrt{2}}{4}\\\\\frac{1+i*4*\sqrt{2}}{4}\\\\\frac{1+4i*\sqrt{2}}{4}\\\\\frac{1}{4}+\frac{4i*\sqrt{2}}{4}\\\\\boldsymbol{\frac{1}{4}+i\sqrt{2}}\\\\[/tex]
This matches with choice C. The imaginary 'i' term is not under the square root.
2 + 2 = ? plz help me
Answer:
2+2=4
Step-by-step explanation:
thats the Anewer I know that it
Answer:
4
Step-by-step explanation:
Same thing as 2 x 2 = 4
What is the slope of the line in this graph?
The slope of the line 5/7.
How do i know this?
Well the slope of a line is considered as rise/run.
So we start at the beginning and then go up until the line intersects a corner again. Then we mark that down.
Go back to the beginning and count how many times it takes to reach the height of the intersected corner. So it is 5.
Then we go to the right until we reach the point. And it takes 7 squares to reach it, so the slope it 5/7.
Your welcome! :D
Jamaal ran 6 miles in 30 minutes. Which expression shows how to correctly determine his speed in miles per minute?
6 miles ÷ 30 minutes
30 minutes ÷ 6 miles
6 miles ÷ 1 minute
30 minutes ÷ 1 mile
Answer:
The second one. 30 minutes ÷ 6 miles.
Step-by-step explanation:
You want to find how long it took Jamaal to run one mile.
30 minutes ÷ 6 miles = 5 minutes.
So Jamaal can run one mile in 5 minutes.
Option B, 30mins/6miles
PLEASE HELP ASAP I NEED ANSWER IN LESS THAN 9 HOURS
Answer:
I dont really know if this is right, but for 5, y=5. I don't know what 6 is. Sorry.
6. Which equation has infinite solutions?
A. 6x + 5 - 2x = 4 + 4x - 1
B. - 3+ 12x = - 3( 4x - 1)
C. 5 (x + 3) + 2 = 5x + 17
D. - 5 (x - 5) = - 25 + 5x
Answer:
C
Step-by-step explanation:
5x+15+2=5x+17
2 Simplify 5x+15+25x+15+2 to 5x+175x+17.
5x+17=5x+17
5x+17=5x+17
3 Since both sides equal, there are infinitely many solutions.
Infinitely Many Solutions
Given the following triangle, what is the cos A?
[tex]\text{Given that, for angle A}\\\\\text{Adjacent side, AB = 7}\\\\\text{Hypotenuse, AC = 25}[/tex]
[tex]\cos A = \dfrac{AB}{AC} = \dfrac{ 7}{25}[/tex]
Which number is equivalent to 2^−5⋅ 3 ⋅ 2^2 ⋅ 3^3?
A. 648
B. 216
C. 81/8
D. 27/8
[tex]2^{-5} \cdot 3 \cdot 2^2 \cdot 3^3\\\\=2^{-5 +2} \cdot 3^{1+3}\\\\=2^{-3} \cdot 3^4\\\\=\dfrac{3^4}{2^3}\\\\=\dfrac{81}{8}\\\\\\\text{So, the answer is C.}[/tex]
Serious help needed what is the domain and range
Answer:
domain: all real numbersrange: -1 ≤ y ≤ 5 or -1 ≤ y < ∞Step-by-step explanation:
The arrows on the ends of the graph mean the graph extends indefinitely left and right. The domain is the horizontal extent of the graph, so it extends from -∞ to +∞, all real numbers.
__
The upward slant of the graph at the ends is ambiguous regarding the vertical extent of the graph. It could mean either of ...
the graph oscillates indefinitely between the values -1 and +5, orthe graph continues upward toward +∞We expect the latter case would be drawn with the ends of the arrows above the peak value shown. However, oscillation tends to involve a certain symmetry, and the graph has no symmetry about the local minimum points. In short the usual clues to the vertical extent are missing. Your guess is as good as mine.
The range could be [-1, 5], or it could be [-1, ∞). We cannot tell from this graph.
_____
Additional comment
The shape of the graph does not seem to match that of a 4th-degree polynomial, so we're not at all certain what sort of function is being plotted here. (A 4th-degree polynomial gets steeper beyond the outside zeros, rather than flatter, as shown here.) A couple of different functions with the approximate characteristics shown are graphed in the attachment.
A bakery worker ordered 3000 eggs when only 300 eggs were needed. Which explains how many more eggs were ordered than were needed? A. 100 times more because there are 2 zeros in 300 B. 1000 times more because there are 3 zeros in 3000 C. 10,000 times more because there are 5 total zeros in 3000 and 300 D. 10 times more because there is 1 more zero in 3000 than in 300
Answer:
D
Step-by-step explanation:
6÷4(7+8)= 8-6(4+9)= 4÷8(9+3)=
Answer:
6÷4(7+8) = 22,58-6(4+9)= 264÷8(9+3)= 6Step-by-step explanation:
6÷4(7+8)= 6÷4(15)= 1,5 × 15= 22,58-6(4+9)= 8-6(13)= 2 × 13= 26 4÷8(9+3)= 4÷8(12)= 0,5 × 12= 6help with math asap!
ty in advance :)
Answer:
2.108*10^3
Step-by-step explanation:
please can someone help with this
Answer:
true
false
true
true
Step-by-step explanation:
A.
For lines p and q, angles 2 and 3 are corresponding angles, so A is true.
B.
Angles 5 and 7 hare note corresponding angles or alternate interior angles. B is false.
C.
For lines r and s, angles 2 and 4 are corresponding angles, so C is true.
D.
For lines r and s, angles 5 and 6 are alternate interior angles, so D. is true.
Keeven uses 78 feet of fence to make a rectangle pan for his pet rabbit. The length of the pin is 20 feet.What is the width of the rectangle pen
Answer:
19 ft
Step-by-step explanation:
The perimeter of a rectangle is given by ...
P = 2(L +W)
Filling in the given values, we have ...
78 = 2(20 +W)
39 = 20 +W . . . . . divide by 2
19 = W . . . . . . . . subtract 20
The width of the rectangular pen is 19 feet.
Estimate the line of best fit using two points on the line.
Answer: i think it's b
Answer:
C.
Step-by-step explanation:
A and D are immediately wrong since the line is increasing.
Using the formula of rise over run, we can find the slope. We then use 40 as the rise and 5 as the run
40/5 is 8.
We can now put 8 as the slope in the y=mx+b equation. We can see the line intersect at 20 at the y-axis, which makes 20 the y-intercept. We can now insert that into the b part of the equation. This leaves us with y=8x+20.
ababccaaadadaddaddaa
Answer:
ababababababababbbababbbababbababaaaaaabababbababab
Step-by-step explanation:
hru and thank u for this question
Answer:
dsvrg
Step-by-step explanation:
A first number plus twice a second number is 5. Twice the first number plus the second totals 13. Find the numbers.
Let a and b = the numbers we must find.
a + 2b = 5.....Equation A
2a + b = 13.......Equation B
We have a system of equations in two variables.
I will solve A for little a.
a + 2b = 5
a = 5 - 2b
Now I will plug 5 - 2b for a in B.
2(5 - 2b) + b = 13
10 - 4b + b = 13
-3b = 3
b = -1
To find a, replace b with -1 in EITHER A or B.
I will use Equation A.
a + 2b = 5
a + 2(-1) = 5
a - 2 = 5
a = 7
The two numbers are -1 and 7.
Understand?
When Brianna plays solitaire, she keeps track of how many times she wins and loses. She has won
2
games for every 3 that she has lost. If Brianna has won 18 games, how many games has she played in all?
games
Can someone help me with this question
Answer:
$2.40
Step-by-step explanation:
Answer:
48 mph
Step-by-step explanation:
Since you get fined $12 for each mile per hour over and she was fined $96, we can set an equation to find how many miles per hour she was over:
12*x=96
x=8 mph over the speed limit
Since the speed limit is 40, then she was going 40+8=48mph
Please help.
I) Determine the remainder when f(x)= 2x³+bx²+2x+5 is divided by x+1.
If the remainder when f(x) is divided by (x-2) is equal to the remainder in I) calculate the value of b.
Here is the remainder for both. No the remainders are not equal.
As an estimation we are told £3 is €4.
Convert €32 to pounds.
Write the percent as a fraction or mixed number in simplest form. 72.5
Answer: 72 1/2 or 725/10 as mixed number
Step-by-step explanation:
Answer:
72.5/100
Step-by-step explanation: Write down the percent divided by 100, then multiply both top and bottom by 10 after the decimal point, after you multiplied you will get 752/10 then simplify which the simplest form is 145/2 you with then have an improper fraction and it will be 72 1/2
The height y, in feet, of a football x seconds after it is thrown is modeled by the equation y = â€"16x2 24x 1. What information does the zero of the equation 6 = â€"16x2 24x 1 represent? the height of the ball after 6 seconds when the ball is 6 ft above the ground the initial upward velocity of the ball the horizontal distance traveled by the ball when it is 6 ft above the ground.
The zero of the equation [tex]6 =- 16x^2+24x+1[/tex] represents the moment when the ball is 6 ft above the ground.
Given that,
The height y, in feet, of a football x seconds, after it is thrown is modeled by the equation,
[tex]\rm y=- 16x^2+24x+1[/tex]
We have to determine,
What information does the zero of the equation [tex]6 =- 16x^2+24x+1[/tex]represent?
According to the question,
In the quadratic equation for the ball's height, it is found that the zero of the equation represents,
[tex]\rm 6 =- 16x^2+24x+1[/tex]
The instant of the time x is when the ball is 6 ft above the ground.
The height of the ball is y(x), after x seconds, is modeled by:
[tex]\rm y =- 16x^2+24x+1[/tex]
The equation given is,
[tex]\rm y =- 16x^2+24x+1[/tex]
In which the height is 6 feet above the ground, and the zeroes are the instants of time when the ball is 6 ft above the ground.
Hence, These points represent the moment when the ball is 6 ft above the ground.
For more details refer to the link given below.
https://brainly.com/question/12837829?referrer=searchResults
Correct me if I'm wrong, isn't the Distance from A to C be 7?
Cords:
A (1,0)
B (1,6)
C (5,3)
Answer:
no you're not wrong go with your gut
Step-by-step explanation:
Jeremy brought a sandwich and a drink that cost him $7. His drink cost $1.75. Solve the equation 7=s + 1.75 to find s, the cost of Jeremy’s sandwich.
Answer:
s= $5.25
Step-by-step explanation:
7-1.75=5.25
7=5.25+1.75
s=$5.25
Please help, im stuck
Solve 6[9 - (9x - 8)] + 3x = 0.
A. 2
B. -5/4
C. -32/47
D. 2/15
E. None of the above
Answer: 2
Step-by-step explanation:
distribute: 6 [ 9 − 9 + 8 ] + 3 = 0
add the numbers: 6 [ 1 7 − 9 ] + 3 = 0
rearrange terms: 6 [ − 9 + 1 7 ] + 3 = 0
distribute again: − 5 4 + 1 0 2 + 3 = 0
combine like terms: − 5 4 + 1 0 2 + 3 = 0
Subtract 102 from both sides of the equation: − 5 1 + 1 0 2 − 1 0 2 = 0 − 1 0 2
simplify:− 5 1 = − 1 0 2
Divide both sides of the equation by the same term: -51x/-51 = -102/-51
simplify: 2
i hope this helps! ^^
4. Identify the zeros and the graph of the function y = x(x − 2)(x + 5).
The zeros of
y = x(x + 2)(x + 5)y=x(x+2)(x+5)
are
x=0,x=-2,x=-5x=0,x=−2,x=−5
EXPLANATION
The given function is
y = x(x + 2)(x + 5)y=x(x+2)(x+5)
To find the zeros of the above function, we just have to equate the function to zero and solve for x.
x(x + 2)(x + 5) = 0x(x+2)(x+5)=0
This implies that,
x = 0 \: \: or \: x + 2 = 0 \:or \: x + 5 = 0x=0orx+2=0orx+5=0
x = 0 \: \: or \: x = - 2\:or \: x = - 5x=0orx=−2orx=−5
To graph the above function, we need to consider the multiplicity.
We can see that the multiplicity of the roots are odd. This means that, the graph crosses the x-axis at each x-intercept.
We also need to consider the position of the graph on the following intervals,
x < - 5x<−5
When
x = - 10x=−10
y = - 10( - 8)( - 5) \: < \: 0y=−10(−8)(−5)<0
The graph is below the x-axis.
- 5 \: < \: x \: < \: - 2−5<x<−2
When
x = - 3x=−3
y = - 3(2)( - 1) \: > 0y=−3(2)(−1)>0
The graph is above the x-axis.
- 2 \: < \: x < \: 0−2<x<0
when
x = - 1x=−1
y = -1(1)(4) \: < \: 0y=−1(1)(4)<0
The graph is below the x-axis.
Finally the interval,
x \: > \: 0x>0
when
x = 1x=1
y = 1(3)(6) \: > \: 0y=1(3)(6)>0
The graph is above the x-axis.
We can now use the above information to sketch graph as shown in the diagram above