Given:
The given system of equation is:
[tex]y=-2x+1[/tex]
[tex]4x+2y=-3[/tex]
To find:
The solution of given system of equations using subtraction.
Solution:
We have,
[tex]y=-2x+1[/tex] ...(i)
[tex]4x+2y=-3[/tex] ...(ii)
First equation can be rewritten as
[tex]2x+y=1[/tex] (Adding 2x on both sides)
[tex]4x+2y=2[/tex] ...(iii) (Multiplying both sides by 2)
After subtracting (ii) from (iii), we get
[tex]4x+2y-(4x+2y)=2-(-3)[/tex]
[tex]4x+2y-4x-2y=2+3[/tex]
[tex]0=5[/tex]
This statement is false because [tex]0\neq 5[/tex]. It means, there is no value of x and y for which the given system of equations are true.
Therefore, the given system of equations has no solution and the correct option is b.
25POINTS!!
Figure ABCD is transformed to figure A prime B prime C prime D prime, as shown below:
A coordinate grid is shown from negative 5 to 0 to 5 on both x -and y-axes. A polygon ABCD has A at ordered pair 1, 3, B at ordered pair 3, 4, C at ordered pair 2, 1, D at ordered pair 1, 1. A polygon A prime B prime C prime D prime has A prime at ordered pair negative 3, 3, B prime at ordered pair negative 5, 4, C prime at ordered pair negative 4, 1, D prime at ordered pair negative 3, 1.
Which of the following sequences of transformations is used to obtain figure A prime B prime C prime D prime from figure ABCD?
Reflection over the x-axis followed by a translation to the right by 2 units
Reflection over the y-axis followed by a translation to the left by 2 units
Counterclockwise rotation by 90 degrees about the origin followed by a translation to the right by 2 units
Counterclockwise rotation by 90 degrees about the origin followed by a translation to the left by 2 units
Answer: B.
Step-by-step explanation:
Answer:
The answer is B: Reflection over the y-axis followed by a translation to the left by 2 units
Step-by-step explanation:
I had this on a test one time and I got 100%
5x + 3x = 48
x =
Can someone help
Answer:
x=6
Step-by-step explanation:
8x=48
x= 48÷8
x=6
Determine the slope of the line that
contains the given points:
(-8, 12 ) and (-8, 7).
Answer:
0
Step-by-step explanation:
Answer:
undefined
Step-by-step explanation:
The for9-8mula for slope is [ y2-y1/x2-x1 ].
7-12/-8-(-8)
-5/0
Since the denominator is 0, the slope is undefined.
Best of Luck!
(-1)2009 + (-1)2000 integers .solve this
Answer: -4009
Step-by-step explanation: hope this helps!
Answer:
-4009
- I'm not 100% sure but if you want to double check you can use a website like M4thw4y (the 4's stand for a's) for help. Hope this helps.
What is the circumference of a tire with a diameter of 12 inches? *
Answer:
approximately 38 inches
Step-by-step explanation:
To find the circumference of a circle, you will use the formula C=2⋅π⋅r ; therefore the circumference C is 2⋅π⋅6≈38 inches
You break you break your piggy bank which is filled with nickels and quarters. You have 32 coins and a total of 5.20. How many quarters and nickels do you have ?
Answer: 14 nickels and 18 quarters.
Step-by-step explanation:
Let x = Number of nickels , y = Number of quarters
As per given , we have
x+ y= 32 (i)
0.05x+0.25y= 5.20 (ii)
Multiply (ii) by 4 , we get
0.2x+y = 20.8 (iii)
Subtract (iii) from (i) , we get
0.8x = 11.2
[tex]\Rightarrow\ x=\dfrac{11.2}{0.8}\\\\\Rightarrow\ x = 14[/tex]
Put value of x in (i) , we get
y =32-14 = 18
Hence, we have 14 nickels and 18 quarters.
A full one- gallon container can be
used to fill the one-liter containers, as shown
below. Write a unit rate that estimates the
number of liters per gallons.
Answer:
3.78541
Step-by-step explanation:
but if not technical it is 4
The cost c of the membership of a club is $30 for sign up and $15 per week w to be a member.
Answer:
15x + 30
Step-by-step explanation:
Let x represent the number of weeks someone is a member. 30 is constant because it never changes.
Answer:
30+15w=c
Step-by-step explanation:
(c=total cost)
(w=variable to represent number of weeks)
6th grade math !!!!!!!!!!!
Answer:
68 degrees fahrenheit
Step-by-step explanation:
Answer:
68 degrees Fahrenheit
Step-by-step explanation:
I hope this helps you out with your question! Can you plz consider marking me brainliest and thanks! Plz tell me how the answer was! It feel nice to be appreciated! Comment /free for a giveaway entry of 20 thanks and 2 brainliest. Have an awesome day! Let me know if you have any questions! -KaraYeaton18
PLZ HELP 55 POINTS!!!
The box below shows the first two of four steps for identifying equivalent expressions. • Simplify each expression. • Substitute a number for each variable. • • Which shows the last two steps in the directions? • Compare the resulting expressions. • If they have identical terms, the expressions are equivalent. • Compute the value of each expression. • Compare the values. If they are equal, the expressions are equivalent. • Decide if there are like terms in each expression. • Compare the like terms to simplify each expression. • Compare each expression, looking for like terms between them. • If each term matches one in the other expression, they are equivalent.
Answer:
Compute the value of each expression.
Compare the values If they are equal the expressions are equivalent.
Step-by-step explanation:
GIVING BRAINLEIST PLEASE HURRY
Answer:
A
Step-by-step explanation:
-80 and -120 are easy to add
5 star, thank, and brainliest if helpful!
Simplify: (8^2)^3
please help:)
Answer:
262144
Step-by-step explanation:
its exponents
I really need help I have 45 missing assignments and I need to get then all done and it would help if someone would help
Answer: yes, she can
Step-by-step explanation:
10:13 (ratio) = 0.769
3 (pounds) x 0.769 (ratio) = 2.307 (dollars)
5 (hours) x 2.307 (dollars) = 11.35
Carlos spent 5 hours on math, 2 hours on science, and an hour on reading. Find the ratio of math to total hours
PLEASE HELP MEEE
Answer:
5 hrs math : 8 total hrs
Step-by-step explanation:
5 + 2 + 1 = 8 hours total
What is an equivalent expression for 5x + 15
We can write an equivalent expression by factoring this polynomial.
Since the GCF for these terms is 5, we can factor out a 5.
That leaves us with each term divided by 5 inside the parenthses.
So we have 5(x + 3).
Step-by-step explanation:
5x + 15= 15 + 5xFactor out the Greatest Common Factor ( GCF) , '5'5( 3 + x)Final result :5( 3 + x)What is the solution to the following inequality?
w + 6
<5
Answer:
Step-by-step explanation:
w<4
An equilateral triangle has side length of 10 inches. What is the area of the triangle in simplest radical form
Answer:
43.3in²
Step-by-step explanation:
The area of the equilateral triangle in the simplest radical form is 43.3 (inches)².
What is a Triangle?A simple polygon having 3 sides and three interior angles make up triangles. One of the fundamental geometric forms, it is represented by the symbol and comprises three connected vertices. Triangles can be categorized into the number of different varieties according to their sides and angles.
According to the information provided in the question,
Side of the equilateral triangle, a = 10 inches.
Area, a = (√3)/4 × a²
a = (√3)/4 × 10²
a = 43.3 (inches)²
Therefore, the area is 43.3 (inches)².
To know more about triangle:
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The equation that represents the canned goods order is 24x + 64y = 384.
x = number of minutes for fruit cans
y = number of minutes for vegetable cans
Explain how to calculate the x- and y-intercepts.
Step-by-step explanation:
let me explain in easy way
24x+64y=384 take x=0
24×0+64y=384
0+64y=384
64y=384
y=384 divided by 64
y=6
we got the y intercept
now lets do for x
24x+64y=384 take y=0
24x+64×0=384
24x+0=384
24x+0=384
24x=384
x=384 divided by 24
x=16 we got x intercept also
hope this helps
Answer:
Sample Answer: Substitute 0 for the x-value in the equation and solve for y. The result is y = 6, so the y-intercept is at (0, 6). Next, substitute 0 for the y-value in the equation and solve for x. The result is x = 16, so the x-intercept is at (16, 0).
Step-by-step explanation:
trust
What is the best name to describe an object that has four right angles, the opposite sides are parallel, and it has four equal sides? A trapezoid. B rectangle. C rhombus. D square.
Answer:
D-Square
Step-by-step explanation:
That describes a square, so the answer a square.
Answer:
D
Step-by-step explanation:
Kevin is 4 years older than 3 times old as Jasper. If J represents Jasper's age, which expression represents Kevin's age?
A. 3j - 4
B. 4 + 3j
C. 4(3j)
D. 3j/ 4
Answer:
B
Step-by-step explanation: By breaking down the question, you can see that Jasper (j) is 3 times as old as Kevin, which means you need to multiply jasper's age by 3. The question also says that Kevin is 4 years older than whatever 3 times Jasper's age is, meaning you need to add 4 years into the question. The only answer that involves multiplying by 3 and adding by 4 is B.
Answer:
fewftwfgw
Step-by-step explanation:
wef
What is the slope of the line that passes through the points (1, 1) and (9, 7)?
Answer:
Its A. Just had this question
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
3. 1 + sec2x sin2x = sec2x
Answer:
Answer is on pic
Step-by-step explanation:
I hope it's helpful!
If you have a line that goes through (-1, 7) and (8, -2), what would the equation of the line be in point-slope form?
Please use (8, -2) for x1 and y1.
Answer:
y-9 = -1/12(x-8)
Step-by-step explanation:
To write an equation of a line perpendicular to the graph of y = 12x-3 and passing through the point, we will follow the following steps.
The standard form of point-slope form of the equation of a line is given as
y − y1 = m(x − x1),
m is the slope of the unknown line
(x1, y1) is a point on the line.
Step 1: We need to calculate the slope of the known line first,
Given y = 12x-3
from the equation, m = 12 on comparison.
Step 2: get the slope of the unknown line. since the line given is perpendicular to the line y = 12x - 3, the product of their slope will be -1 i.e Mm = -1
M = -1/m
M is the slope of the unknown line
M = -1/12
Step 3: We will substitute M = -1/12 and the point (8, 9) into the point-slope form of the equation of a line i.e y − y1 = M(x − x1),
M = -1/12, x1 = 8 and y1 = 9
y-9 = -1/12(x-8)
Can someone please help me thank you
Answer:i think that the answer is 3
Step-by-step explanation:
Answer:
wouldn't it be 0 to 5 seconds it has the biggest change
Ewan has 48 white tiles and 16 blue tiles. The cost of each white tile is £2.
The cost of each blue tile is £4.
Work out the ratio of total cost of white tiles to the total cost of the blue tiles.
Mohamed decided to track the number of leaves on the tree in his back yard each year. This year there were 500 leaves. Each year after the number of leaves was 40% more than the year before. Let f(n) be the number of leaves on the tree in mohameds back yard in the nth year since he started tracking it. F is a sequence was kind of sequence is it?
Answer:
Geometric sequence
Step-by-step explanation:
According to the scenario, computation of the given data are as follows:
Leaves on tree this year (a) = 500
Rate of increase in leaves per year (r) = 40 % or 0.4
Let n be the number of years.
So we use exponential growth formula, i.e.
f(n) = a(1+r)^n
by putting the value, we get
f(n) = 500 ( 1+0.4)^n
or f(n) = 500 (1.4)^n
So, the common ration is 1.4.
Thus, it shows a geometric sequence.
Sarah spent $10.85 on groceries at the
grocery store. If Sarah and Nichole spent
50. 56 in all for groceries, how much did
Nichole spend for groceries. Create and
solve an equation to figure out how much
Nichole spent.
Can someone pleaseeee help if you’re correct I’ll give u brainlist
Answer:
rectangle and parallellagram i believe
Step-by-step explanation:
I've done this before but I don't remember the IXL
Answer:
rectangle and square I believe
this might be the wrong answer^
good luck :)
Find the difference
Answer: 3/5
Step-by-step explanation:
1 2/5 = 7/5
7/5 - 4/5 = 3/5
Answer: 3/5
Step-by-step explanation:Change 1 2/5 to improper fraction which is 7/5 .THen subtract 7/5 from 4/5 which gives you 3/5.
Expand.
Your answer should be a polynomial in standard form.
(2z - 1)(z^2 – 2z+ 1) =
PLS HELP
Answer:
2z^3 - 5z^2 + 4z - 1
Step-by-step explanation:
(2z - 1)(z^2 – 2z+ 1) =
= 2z^3 - 4z^2 + 2z - z^2 + 2z - 1
= 2z^3 - 5z^2 + 4z - 1
The polynomial in standard form will be 2z³ – 5z² + 4z – 1.
What is polynomial?A polynomial expression is an algebraic expression with variables and coefficients.
The polynomial is given below.
⇒ (2z – 1)(z² – 2z+ 1)
Then the polynomial in standard form will be
⇒ (2z – 1)(z² – 2z + 1)
⇒ 2z(z² – 2z + 1) – 1(z² – 2z + 1)
⇒ 2z³ – 4z² + 2z – z² + 2z – 1
⇒ 2z³ – 5z² + 4z – 1
More about the polynomial link is given below.
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