Answer:
• First assign any label to the equations:
[tex]{ \tt{2x + 3y = 10 - - - \{eqution \: (a) \}}} \\ { \tt{ - 6x - 9y = 30 - - - \{equation \: (b) \}}} \\ [/tex]
• Multiply equation (a) by 3
[tex] \dashrightarrow \: { \tt{3 \times (2x + 3y = 10)}} \\ \dashrightarrow \: { \tt{6x + 9y = 30}}[/tex]
• Sum up the result with equation (b)
[tex]{ \underline{ + { \tt{ \binom{6x + 9y = 30}{ - 6x - 9y = 30} }}}} \\ { \tt{0x + 0y = 60}}[/tex]
Answers:
No solutions
Define the sample space, S, of a fair coin being tossed once.
S=
A. {H, T}
B. {H, H}
C. {T, T}
Answer:
S = { H,T }
Step-by-step explanation:
Sample space is these two outcomes
14. Write an equation for the line in slope-intercept form.
Answer:
y equals -2x plus 8
Step-by-step explanation:
x+3y=23
x-2y= -17
help elimationmethod
Answer:
1. 20
2.19
ok that will help you
Write the equation of the line passes through the point (10, 2) and is perpendicular to the line: y=-5x+7
Please show work
Answer:
Perpendicular line: y = ⅕x + 0 or y = ⅕x
Step-by-step explanation:
Given the point, (10, 2), and the linear equation, y = -5x + 7:
In order to find the equation of the perpendicular line that passes through (10, 2), we must first determine the definition of perpendicular lines.
Definition:Perpendicular lines have negative reciprocal slopes ⇒ this means that when you take and multiply the slopes of both lines, it results in a product of -1.
In other words, since the slope of the given line, y = -5x + 7 is m₁ = -5, then it means that the slope of the other line must be m₂ = ⅕ because:m₁ × m₂ = -1
-5 × ⅕ = -1
Solution:Now that we have the slope of the other line, m₂ = ⅕, and the given point, (10, 2), substitute these values into the slope-intercept form to solve for the y-intercept, b :
y = mx + b
2 = ⅕(10) + b
2 = 2 + b
Subtract 2 from both sides:
2 -2 = 2 -2 + b
0 = b
Hence, the y-intercept is b = 0.
Equation:The linear equation of the perpendicular line that passes through point (10, 2) is: y = ⅕x + 0 or y = ⅕x
Find the unit rate for each problem
Answer:
1. 3 tacos per person
2. 8 chairs per table
3. 6 avocados per bag
Step-by-step explanation:
1. Divide 45 by 15 to get the unit rate: # of taco per person.
45 = 15x
45/15 = 15x/15
3 = x
3 tacos per person
2. Divide 72 by 9 to get the unit rate: # of chairs per table.
72 = 9x
72/9 = 9x/9
8 = x
8 chairs per table
3. Divide 42 by 7 to get the unit rate: # of avocados per bag.
42 = 7x
42/7 = 7x/7
6 = x
6 avocados per bag
Answer number 11 to see if your smarter than my students
the awnser 2=2=2=2=22=2=2=2=2=2+0+7867+
Find -5(-12) + (-15)
With explanation please i forgot how to do it
Answer:
45
Step-by-step explanation:
-5(-12)+(-15)
--> Multiply -5 and -12 to get 60
60-15
--> Subtract 15 from 60 to get 45
Hope this helps you!
A rectangle has an area of 24cm Function f gives the length of the rectangle, in centimeters when the width is w cm. Determine if each value,
in centimeters, is a possible input of the function
3 0.5 42 60
Answer:
Yes
Step-by-step explanation:
f = 24/w
Just plug in each one, would only be an error if denominator would = 0
What is the area of the shaded portion of the square?
Answer:
Maybe 34cm
Sana makatulong..
Peter made 19 1/8 cups of chili for the
football game. If 14 3/4 cups of the chili were
eaten, how many cups of chili did Peter have left over
have left over?
Answer:
4.38, aka 219/50
Step-by-step explanation:
Find the value of p for which x³+4x²-px+8 is exactly divisible by (x-2) is_____.
Given Polynomial P(x) = x^3+4x^2-px+8
Given that P(x) is exactly divisible by (x-2) then by
factor theorem it is a factor and P(2) = 0
⇛ (2)^3+4(2)^2-p(2)+8 = 0
⇛8+4(4)-2p+8 = 0
⇛ 8+16-2p+8 = 0
⇛ 32-2p = 0
⇛32 = 2p
⇛ 2p = 32
⇛ p = 32/2
⇛ p = 16
Answer:- The value of p is 16.
Read more:
Similar Questions
Find the value of p for which the polynomial 3x^3 -x^2 + px +1 is exactly divisible by x-1, hence factorise the polynomial...
https://brainly.com/question/12852511?referrer
Answer:
16.
Step-by-step explanation:
By the Factor Theorem if a polynomial is divisible by (x - a) then f(a) = 0 so here we have:
f(2) = 2^3 + 4(2)^2 - 2p + 8 = 0
-2p + 32 = 0
p = 16.
Please help me. I’m so confused
Answer:
probably 2.............
How do the expressions 2q2−3p and 2(p+q)/q compare when p = 8 and q = 4?Drag a symbol into the box to correctly complete the statement.2q2−3p Response area 2(p+q)/q when p = 8 and q = 4.=<>
Answer:
The answer is ">"
Step-by-step explanation:
I took the quiz epicly
Answer:
>
Step-by-step explanation:
Without graphing, find the slope of the line that goes through (2,-1) and (6,1)
Answer:
-7
Step-by-step explanation:
Y2 - Y1 / X2 - X1
-1-6/2-1
-7/1
= -7
If S = 1/2, what number does 4s equal?
Step-by-step explanation:
If [tex]s=\frac{1}{2}[/tex], then:
[tex]4s=4(\frac{1}{2})\\\\4s=\frac{4}{2}\\\\4s=2[/tex]
The number 4S equals if S = 1/2 is 2, 4S = 2.
What is multiplication?One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical sizes.
Given:
S = 1 / 2
Calculate the value of 4S as shown below,
4 × S = 4 × 1 / 2
4S = 2
Thus, 4S = 2
To know more about multiplication:
https://brainly.com/question/1135170
#SPJ2
What is 1 and 1/4 - 3/8?
Answer:
7/8
Step-by-step explanation:
1 and 1/4 would equal 5/4. This would be 5/4-3/8, which equals 10/8-3/8=7/8
Answer:
0.875
Step-by-step explanation:
Estimate the amount of the tip by rounding the bill to the nearest ten dollars before calculating. 20% tip on a bill of $123.42 The amount of the tip is approximately $
Answer:
$24
Step-by-step explanation:
First, we round to the nearest tenth.
$120
Now, we calculate the tip amount.
[tex].20 * 120 = 24[/tex]
ummmm help me cause i am the queen ya know
Answer:
80 square units
Step-by-step explanation:
I am in a rush so this might not be right but probably is
6) Convert 2pie/3 to degrees
A) 30°
B) 60°
120°
D) 240°
Is this true or false? The following graph represents a proportional relationship: (1 point)
Answer:
where is the graph??
Step-by-step explanation:
i have no picture soooo like
What is the perimeter of a regular decagon with sides of 14 inches?
Answer:
140 inches
Step-by-step explanation:
one decagon has 10 sides
14*10= 140
2. The number of gallons y a pool drains in x minutes is represented by the function y = 20x. The table shows the time it takes to fill up a pool. Determine whether the function is proportional or non-proportional. Explain.
Answer:
Yes, it is proportional because the number of gallons filled is always 15 times the number of minutes.
Find the measure of the missing angle.
30°
a=
Answer:
the measurement of a is 60°............
Answer:
A=60
Step-by-step explanation:
it adds up to 180 so subtract 30 and 90 for the right angle and you got 60
The ratio of roses to carnations to daisies in
a flower bouquet is 2:5:6. The bouquet has
39 flowers. How many carnations are in the
bouquet?
Answer:
10
Step-by-step explanation:
10 10 10 1010 10 101 10 10 1o
2. A certain 80 cm spring will stretch (in cm) three-sixteenths the weight (in kg) attached to
it. How long will the spring be if a 15-kg weight is attached to it?
which expression is equivalent to 1/2b-15
Answer:
b/2-15
or
-15+1/2b
or
b:2-15
Step-by-step explanation:
which expression is equivalent to 1/2b-15
b/2-15
or
-15+1/2b
or
b:2-15
2) Which of the following represents an equation of a line parallel to one whose equation is 2y + 8x = 18?
A) y = -4x + 3
B) y = 4x+ 7
C) y = 8x + 2
D) y = -8x + 9
Answer:
A
-by-step explanation:
i have that exact question
Somebody plz help ????? I need the answer to this
Answer:
I was thinking it should be -1,2 but that'd not an awnser so B
I really need help with this and happy thanksgiving
Answer:
C (-2,2)
D (1,-2)
Step-by-step explanation:
happy thanksgiving!
-4x + 60 < 72 or 14x + < -31
x=31/14
Step-by-step explanation:
I did the second one btw