Answer:
p =− 2
q = 5
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
p =− 2
q = 5
Answer:
q = 5
p = -2
Step-by-step explanation:
I'm gonna use elimination
2p + 5q = 21 Multiply 3 ------> 6p +15q = 63
3p - 2q = -16 Multiply 2 -------> 6p -4q = -32
6p +15q = 63
6p -4q = -32 -__________
19q = 95
q = 5
To find P use any of the equations and substitute q to 5
3p -2(5) = -16
3p -10 = -16
3p = -6
p = -2
please help will mark brainlist
Step-by-step explanation:
Step by Step Solution:
More Icon
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "/-19" was replaced by "/(-19)".
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
s/(-19)-(-29)=0
Step by step solution :
STEP
1
:
s
Simplify ———
-19
Equation at the end of step
1
:
s
——— - -29 = 0
-19
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using -19 as the denominator :
-29 -29 • -19
-29 = ——— = —————————
1 -19
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
s • -1 - (-29 • 19) 551 - s
——————————————————— = ———————
19 19
Equation at the end of step
2
:
551 - s
——————— = 0
19
STEP
3
:
When a fraction equals zero
3.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
551-s
————— • 19 = 0 • 19
19
Now, on the left hand side, the 19 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
551-s = 0
Solving a Single Variable Equation:
3.2 Solve : -s+551 = 0
Subtract 551 from both sides of the equation :
-s = -551
Multiply both sides of the equation by (-1) : s = 551
To borrow $3,000 from the bank to buy first car the interest rate is 5% how muvh money will you owe the bank at the end of one year
Answer:
I=150
Step-by-step explanation:
I=Prt
I=3000(?)(?)
divide 5% by 100
I=3000(0.05)(?)
1 year= 1
I=3000(0.05)(1)
I=150
According to the question,
Principle,
P = 3000Interest rate,
r = 5% or 0.5Time,
t = 1 yearWe know that,
→ [tex]I = Prt[/tex]
By substituting the values, we get
[tex]= 3000\times 0.5\times 1[/tex]
[tex]= 150[/tex]
Thus the above approach is right.
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I am thinking of a number if you cut my number In half and multiply by 6 you get 150
Answer:
50
Step-by-step explanation:
Step 1:
(x ÷ 2) × 6 = 150
Step 2:
x ÷ 2 = 25
Answer:
x = 50
Hope This Helps :)
What are the new vertices of triangle QRS, shown, if the triangle is reflected across the line y = x, also shown? Question 6 options: A) Q′ = (–2,–3), R′ = (1,1), S′ = (2,–1) B) Q′ = (2,–4), R′ = (4,0), S′ = (3,–1) C) Q′ = (2,–5), R′ = (5,0), S′ = (2,–1) D) Q′ = (5,2), R′ = (0,5), S′ = (1,2)
Answer:
C
Step-by-step explanation:
Under a reflection in the line y = x
a point (x, y ) → (y, x ) , thus
Q(- 5, 2 ) → Q'(2, - 5 )
R(0, 5 ) → R'(5, 0 )
S(- 1, 2 ) → S'(2, - 1 )
The coordinates of the reflected point under a line y = x will be Q′ = (2,–5), R′ = (5,0), S′ = (2,–1).
What is a reflection of a point in coordinate geometry?The reflection of a point in coordinate geometry is the image formed concerning the x-axis, y-axis, or origin.
Under a reflection in the line y = x
A point (x, y ) has reflected point (- x, - y )
Thus,
The coordinates of the reflected point under a line y = x will be Q(- 5, 2 ) → Q'(2, - 5 )
The coordinates of the reflected point under a line y = x will be R(0, 5 ) → R'(5, 0 )
The coordinates of the reflected point under a line y = x will be S(- 1, 2 ) → S'(2, - 1 )
Thus, option C is the correct one.
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Find the distance between each pair of points (-1,4) and (1,-1)
Answer:
d = [tex]\sqrt{29}[/tex]
Step-by-step explanation:
[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(1-(-1))^2+(-1-4)^2} \\d= \sqrt{(2)^2+(-5)^2} \\d= \sqrt{4+25} \\d=\sqrt{29}[/tex]
The distance between each pair of points (-1,4) and (1,-1) is √29 units after using the distance formula.
What is a distance formula?It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
It is given that:
The distance between each pair of points (-1,4) and (1,-1)
Two points are (-1, 4) and (1, -1)
To find the distance between the above two points using the distance formula:
[tex]\rm d=\sqrt{(1-(-1))^2+(-1-4)^2}[/tex]
[tex]\rm d=\sqrt{(1+1)^2+(-1-4)^2}[/tex]
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division
d = √[(2)² + (-5)²]
d = √(4 + 25)
d = √29 units
Thus, the distance between each pair of points (-1,4) and (1,-1) is √29 units after using the distance formula.
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Is the following number rational or irrational?
6 1/2
Answer:
yes it is a rational number
Step-by-step explanation:
if we convert the mixed fraction into an improper fraction, we will get:
6 1/2 = 13/2
Recall that the definition of an Rational number is that it can be expressed as a division of two integers.
in our case, the numerator is 13 (which is an integer) and the denominator is 2 (which is also an integer)
hence according to our definition it is a rational number
The mixed fraction number 6 1/2 is a terminating number. Then the number is a rational number.
What is a rational number?If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.
The mixed fraction number is given below.
⇒ 6 1/2
Convert the mixed fraction number into the fraction number. Then we have
⇒ 6 1/2
⇒ 6 + 1/2
⇒ (12 + 1)/2
⇒ 13/2
Convert the fraction number into a decimal number. Then we have
⇒ 13/2
⇒ 6.5
The mixed fraction number 6 1/2 is a terminating number. Then the number is a rational number.
More about the rational number link is given below.
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Help me with Rational and Irrational!
Rational Numbers: Any number that can be expressed as a fraction or ratio that may contain repeating decimals, or terminating decimals.
Irrational Numbers: Any number that cannot be expressed as a fraction or ratio that has non-repeating non-terminating decimals.
With this information, sort the given values into one of each of these categories.
Cheers.
1. Given that point M is the midpoint of AC , find the coordinates of the missing
endpoint when you are given one endpoint and the coordinates of the midpoint.
M(-2, 2) and A(2,8)
Given:
Coordinates of point A are (2,8).
Point M(-2,2) is the midpoint of AC.
To find:
The coordinates of C.
Solution:
Let the coordinates of point C are (a,b).
Formula for midpoint:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
Using the above formula, the midpoint of A(2,8) and C(a,b) is
[tex]M=\left(\dfrac{2+a}{2},\dfrac{8+b}{2}\right)[/tex]
[tex](-2,2)=\left(\dfrac{2+a}{2},\dfrac{8+b}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{2+a}{2}=-2[/tex]
[tex]2+a=-4[/tex]
[tex]a=-4-2[/tex]
[tex]a=-6[/tex]
and,
[tex]\dfrac{8+b}{2}=2[/tex]
[tex]8+b=4[/tex]
[tex]b=4-8[/tex]
[tex]b=-4[/tex]
Therefore, the coordinates of point c are (-6,-4).
-14x+28+6x=-44 simplify.
Which of these scales is equivalent to the scale 1 cm to 5 km? Select all that apply.
35 cm to 1 km
1 mm to 150 km
1 mm to 500 m
5 mm to 2.5 km
3 cm to 15 km
Answer:
E; 3cm to 15km
Step-by-step explanation:
1cm to 5km
NOT A:
35cm to 1km
×5
175cm to 5km
NOT B:
1mm to 150km
÷ 30
1/30mm to 5km
NOT C:
1mm to 500m
× 10
10mm to 5km
NOT D:
5mm to 2.5 km
× 2
10mm to 5km
E:
3cm to 15km
÷ 3
1cm to 5km
Find the square root of 784 using prime factorization.
Answer:
first check the smallest number that divide 784
i.e 2
784/2 = 392/2= 196/2 =98/2 =49/7=7
we get
748= 2*2*2*2*7*7
for square root take one out of 2 same number
square root of 784= 2*2*7 = 28
Answer:
28
Step-by-step explanation:
784=2×2×2×2×7×7⇒784 =2×2×7=28
What is the domain of this function? (16, 1) (1, 5) (–13, –12) (18, 12)
Which is greater, 11/16 or 24/32?
Answer:
24/32
Step-by-step explanation:
24/32 is the answer because:
1) We should first try to see if we can find a common denominator so it is easier to compare and find the larger number
2) The common denominator is 32 because 16 multiplied by 2 is 32 and 11 multiplied by 2 is 22. The new fraction is 22/32
3) Finally, compare 22/32 and 24/32, we know that 24 is bigger than 22. Therefore, 24/32 is greater than 11/16
Hope this helps!
f(x) = x2. What is g(x)?
Answer:
I think ot a it been awhile sense I did algebra
simplify ^3√p^4 q^6 r^5
Answer:
3p^2q^3r^2√r
Step-by-step explanation:
Y is the midpoint of line segment XZ. The coordinates
of Y are (1, 8) and the coordinates of X are (-10, –12).
What are the coordinates of Z?
Answer:
work is attached and shown
The table below shows two equations:
Equation 1 |2x - 3| + 5 = 4
Equation 2 15x + 31 – 10 = 3
Which statement is true about the solution to the two equations?
Answer:
First x=-2
Second x= -11.94
Step-by-step explanation:
1 |2x-3|+5=4
2x+3+5=4
2x+8=4
2x=-4
Divide by 2 for both parties
X = -2
Number 2
215x +31-10=3
215x+21=3
215x= -18
Divide by 215 on both sides
X= - 11.94
Which of the following is the solution to lx-13 k 18 ?
A. x < 31
B. x < 31 and x > -5
C. X<31 and x < -5
D. X<31 or x > -5
Which of the following is a figure consisting of two rays with the same endpoint? Angle Circle Line Vertex
Answer:Angle
Step-by-step explanation:
The angle is the figure consisting of two rays with the same endpoint option (A) angle is correct.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called an "Angle."
It is given that
The figures are:
AngleCircleLineVertexAs we know the circle can be described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
From the definition of the angle; two lines or rays converge at the same point.
Thus, the angle is the figure consisting of two rays with the same endpoint option (A) angle is correct.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture
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how do I do this :( I tried but I can’t figure out how to
Answer:
Step-by-step explanation: got you
slope 2/3
x | y
0 -1
2/3 0
HURRRYYYYYY Use the drawing tools to form the correct answer on the provided graph. y=-2/3x+1
Answer:
start on (0,1) and go up two and left three. keep going until you run out of room. then, draw a line through the points.
Step-by-step explanation:
thats how you with graph it :)
Answer ASAP Which is a y-intercept of the continuous function in the table? (5, 0) (0, 1) (0, 5) (1, 0)
Answer:
(0, 5 )
Step-by-step explanation:
The y- intercept is where the function crosses the y- axis.
This occurs when x = 0 , thus
From the table when x = 0 , f(x) = 5 , thus
y- intercept is (0, 5 )
y- intercept is (0, 5 )
Find the endpoint of Segment AB, if A(2,5) and the midpoint is (0, 2).
Find the other end point!
Answer:
Step-by-step explanation:
(x + 2)/2 = 0
x + 2 = 0
x = -2
(y + 5)/2= 2
y + 5 = 4
y = -1
(-2, -1) the other endpoint
Evaluate -Z + 7.49 for Z = -7.1
A function f(x) is graphed.
What is the slope of the function?
m =
A.1
B.2
C.3
D.4
What is the y-intercept of the function?
b =
A.-2
B.-1
C.1
D.2
Which equation represents the graph of the function?
A.y=-x+2
B.y=x+2
C.y=2x+1
D.y=-2x+1
Answer:
B, C, C
Step-by-step explanation:
5x -5=50x + 13
Solve for x
5x-2=8+5y solve for y
Answer:
y = x - 2
Step-by-step explanation:
8 + 5y = 5x - 2
5y = 5x -2 - 8
5y = 5x - 10
5y/5 = (5x - 10)/5
y = x - 2
The equation 5x - 2 = 8 + 5y can be written as in terms of x as y = x - 2; the answer is y = x - 2.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The equation is:
5x - 2 = 8 + 5y
The above equation represents the linear equation in one variable.
To solve for y make the subject as y
5y = 5x - 2 - 8
5y = 5x - 10
y = (5x - 10)/5
y = x - 2
Thus, the equation 5x - 2 = 8 + 5y can be written as in terms of x as y = x - 2; the answer is y = x - 2.
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Multiply 15×2.23**
Simplify the expression: 4x+2+12x+17*
Divide: 0.24÷0.012**
Give two numbers that are less than -4.
Answer:
33.45
16x+19
20
Sarah's parents started a savings account for her when she was 12. The plan her parents chose earns 3.2% each year, and her parents initial deposit was $3500. How much will be in Sarah's savings account after 3 years when Sarah is ready to look for a car?
Answer:
$3846.87
Step-by-step explanation:
Assuming the interest is compounded annually, the value in 3 years is ...
FV = P(1 +r)^t
FV = $3500(1.032^3) ≈ $3846.87
Sarah's account will be worth about $3846.87.
Is compare 3 >,< or =
Is compare 4 >,< or =
Please help
Answer:
First one is <
Step-by-step explanation:
Second one is =