Answers
Answer:
y=4x+5
Step-by-step explanation:
Related Questions
I need help with this problem
Solve the following system of equations using elimination by multiplication.
Answers
If the given equations are indeed
[tex]\begin{cases}x-\frac4{5y} = 9\frac45 \\ -14x - 4y = -46\end{cases}[/tex]
we can solve by substitution. Solve the second equation for x :
[tex]-14x - 4y = -46[/tex]
[tex]\implies 7x + 2y = 23[/tex]
[tex]\implies7x = 23 - 2y[/tex]
[tex]\implies x = (23 - 2y)/7[/tex]
Substitute this into the first equation and solve for y :
[tex]\dfrac{23-2y}7 - \dfrac4{5y} = 9\dfrac45[/tex]
On the right side, write the mixed number as an improper fraction:
[tex]9 + \dfrac45 = \dfrac{45}5 + \dfrac45 = \dfrac{45+4}5 = \dfrac{49}5[/tex]
[tex]\implies \dfrac{23-2y}7 - \dfrac4{5y} = \dfrac{49}5[/tex]
Multiply both sides of this equation by 35y (the LCM of the denominator of all three fractions)
[tex]35y \times \dfrac{23-2y}7 - 35y \times \dfrac4{5y} = 35y \times \dfrac{49}5[/tex]
[tex]5y\times(23-2y) - 7\times4 = 7y \times 49[/tex]
[tex]115y - 10y^2 - 28 = 343y[/tex]
[tex]10y^2 + 228y + 28 = 0[/tex]
[tex]5y^2 + 114y + 14 = 0[/tex]
To solve the quadratic, I'll complete the square :
[tex]5\left(y^2 + \dfrac{114}5y\right) + 14 = 0[/tex]
[tex]5\left(\left(y + \dfrac{57}5\right)^2 - \left(\dfrac{57}5\right)^2 \right) + 14 = 0[/tex]
[tex]5\left(y + \dfrac{57}5\right)^2 - \dfrac{57^2}5 + 14 = 0[/tex]
[tex]5\left(y + \dfrac{57}5\right)^2 = -\dfrac{3179}5[/tex]
This system has no real solutions since the square of any real number must be positive.
If we allow complex numbers, we can continue solving to end up with two complex solutions for y,
[tex]\left(y + \dfrac{57}5\right)^2 = -\dfrac{3179}{25}[/tex]
[tex]y + \dfrac{57}5 = \pm i \sqrt{\dfrac{3179}{25}}[/tex]
[tex]y = -\dfrac{57}5 \pm i\dfrac{17\sqrt{11}}5[/tex]
and we can go on to solve for x.
Hence my comment; I suspect you meant to write the system
[tex]\begin{cases}x-\frac45 y = 9\frac45 \\ -14x - 4y = -46\end{cases}[/tex]
because its solution is far simpler. Multiplying through the first equation by 5 gives
[tex]5\times x - 5 \times \dfrac45 y = 5 \times 9\dfrac45[/tex]
[tex]\implies 5x - 4y = 49[/tex]
(since we know 9 + 4/5 = 49/5)
Meanwhile, multiplying through the second equation by -1 gives
[tex]-1 \times (-14x) + (-1) \times (-4y) = -1 \times (-46)[/tex]
[tex]\implies 14x + 4y = 46[/tex]
So if we combine the two equations, we can eliminate y and solve for x :
[tex](5x - 4y) + (14x + 4y) = 49 + 46[/tex]
[tex]\implies 19x = 95[/tex]
[tex]\implies \boxed{x = 5}[/tex]
and solving for y gives
[tex]14x + 4y = 46[/tex]
[tex]\implies 70 + 4y = 46[/tex]
[tex]\implies 4y = -24[/tex]
[tex]\implies \boxed{y = -6}[/tex]
evaluate 3d/2a, when d=4 and a = -1
Answers
Answer:
ok
Step-by-step explanation:
What does point G represent in the context of this situation?
Answers
Answer:
The famous point G that everyone enjoys... of course it represents a point of a graph! What else could it be? G stands for graph.
3x - 7 = 3x + 9; x =
Please can someone help me and show me the answers step by steps
Answers
Answer:
i think probably x∉∅
Step-by-step explanation:
3x-7 = 3x+9
-7 = 9
so x∉∅
Answer:
0 = 16 or No Solution
Step-by-step explanation:
1) Add 7 to both sides of the equation
3x - 7 + 7 = 3x + 9 + 7
2) Simplify
A. Add the numbers
3x = 3x + 9 + 7
B. Add the numbers
3x = 3x + 16
3) Subtract 3x from both sides of the equation
3x - 3x = 3x + 16 - 3x
4) Simplify
A. Combine like terms
0 = 3x + 16 - 3x
B. Combine like terms
0 = 16
Write an inequality that has the points (-2, -6) and (4, -3) on the line and (6, -4) and (2, -4) as solutions.
(use <= or >= for ≤ or ≥
symbols and write your inequality in y=mx+b form with no spaces)
inequality=
Answers
Answer in fraction form is: y ≤ (1/2)x - 5 or [tex]y \le \frac{1}{2}x-5[/tex]
Answer in decimal form is: y ≤ 0.5x - 5
You only need to pick one answer format.
========================================================
Explanation:
The drawing is below.
Let's label the four given points as A,B,C,D
A = (-2,-6)B = (4,-3)C = (6,-4)D = (2,-4)For now, let's focus on the boundary points A(-2, -6) and B(4, -3). A straight line in the form y = mx+b passes through these points. Compute the slope.
m = (y2-y1)/(x2-x1)
m = (-3 - (-6))/(4 - (-2))
m = (-3 + 6)/(4 + 2)
m = 3/6
m = 1/2
m = 0.5
Now let's use one of those (x,y) points along with that m value to find the y intercept b. I'll use the coordinates from point A.
y = mx+b
-6 = 0.5*(-2)+b
-6 = -1 + b
-6+1 = b
-5 = b
b = -5
The equation of the boundary line is y = 0.5x-5 which is the same as saying y = (1/2)x - 5 or [tex]y = \frac{1}{2}x-5[/tex]. We can refer to this as line AB.
-------------------------------
If you were to plot all four points (A,B,C,D) on the same xy grid, then you'd find that point D is on line AB. We're told that point D is a solution to the inequality, which must mean we are going to involve "or equal to" as part of the inequality sign. This will allow points on the boundary to be part of the solution set.
Notice how point C is below line AB. Since point C is also a solution, this means we go for "less than" to shade below the boundary. Overall, the sign we go for is "less than or equal to" or in short ≤
Therefore, the inequality is y ≤ 0.5x - 5
which is the same as writing y ≤ (1/2)x - 5 or [tex]y \le \frac{1}{2}x-5[/tex]
can anyone plz help me with this math problem
Answers
Please help it’s due in an hr
Which of these functions has a y-intercept that is
greater than that of the linear function
represented by the table of values below, and
why?
х
у
2
19
4
13
17
6
7
19
9
23
A. y = x + 9, because the y-intercept of the function
represented by the table of values is 2
B. y=x+9, because the y-intercept of the function
represented by the table of values is 5
C. y = 8x+1, because the y-intercept of the
function represented by the table of values is 2
D. y = 8x + 1, because the y-intercept of the
function represented by the table of values is 5
Answers
y = x+9 because the y-intercept of the function represented by the table is 5.
============================================================
Explanation:
Let's focus on the first two rows of the table. Plug those coordinates into the slope formula below.
m = (y2-y1)/(x2-x1)
m = (13-9)/(4-2)
m = 4/2
m = 2
The slope is 2.
Then we'll use something like (x,y) = (2,9) along with the slope we found to determine the y intercept b
y = mx+b
y = 2x+b
9 = 2*2+b
9 = 4+b
9-4 = b
5 = b
b = 5
The equation for the table is y = 2x+5
We can check this by seeing that x = 6 leads to y = 2*x+5 = 2*6+5 = 17. I'll let you check the other x values of the table.
Because y = 2x+5 has a y intercept of 5, we're going to aim for answer choice B. The y intercept of y = x+9 is 9 which is larger than what we just found.
If 4 bushels of oats weigh 112 kg, how much do 8. 5 bushels of oats weigh?.
Answers
Answer:
238 kg
Step-by-step explanation:
If 4 bushels weight 112, then divide 112 by 4 and you get that each bushel weighs 28 kg. Now multiply that by 8.5.
Plzzz help me it’s due tonight!!!!!
Answers
Answer:
UV=5, VW=5[tex]\sqrt{3}[/tex], and m∠U=60
Step-by-step explanation:
sin 30=UV/10=>0.5=UV/10=>UV=5
VW=√(10²-5²)=√75=5√3
m∠U=180-90-30=60
Simplify the expression: 4s+10–2+4s
Answers
Answer:
8s+8
Step-by-step explanation:
Put it into groups: (4s+4s)+(10-2)=8s+8
Brainliest is appreciated
Answer:
(4s+4s)+(10-2)= 8s/8 =1 so s=1
Step-by-step explanation:
Answer this correct and I will give you extra points.
Answers
Answer:
he didnt subtract each equations on both sides
5y-6=4y+1
-4 -4
y -6=1
+6=+6
y=7
Step-by-step explanation:
hope that wrk
The probability of event A is 0.53 and the probability of event B is 0.17. The probability of A and B occurring is 0.901. Which statement accurately describes these two events?
Answers
Explanation:
We're given that
P(A) = 0.53P(B) = 0.17P(A and B) = 0.901Note that P(A)*P(B) = 0.53*0.17 = 0.0901 which is somewhat similar to 0.901 but not entirely the same. We have an extra zero between the decimal point and the nine. So this indicates that [tex]P(A)*P(B) \ne P(\text{A and B})[/tex]. Therefore, events A and B are not independent. We consider them dependent.
Can somebody help me :
Answers
Answer:
A
Step-by-step explanation:
Negative numbers are smaller than positive numbers.
Answer:
Your correct 6.55 is a positive number while -6.5 is negitive and positive numbers are always larger then negitive ones
Hope This Helps!!!
Solve the equations.
[tex]3(x+4)^{2} =10x+32\\(x+4)^{2} =3x+40\\\frac{x^{2} -1}{2} -11x=11[/tex]
Answers
Answer:
a) x = {-2 2/3, -2}
b) x = {-8, 3}
c) x = {-1, 23}
Step-by-step explanation:
If all you want are solutions, a graphing calculator can give them to you easily. The attachment shows the solutions as x-intercepts when the equation is rearranged to the form f(x) = 0.
__
In general, it can be convenient to write the equation in standard form with integer coefficients. Common factors among the coefficients should be removed.
a)3(x+4)^2 = 10x +32 . . . . . given
3(x^2 +8x +16) -10x -32 = 0
3x^2 +14x +16 = 0
To factor this, we're looking for factors of 3·16 that total 14.
48 = 1·48 = 2·24 = 3·16 = 4·12 = 6·8
The last pair of factors has a total of 14, so we can rewrite the equation as ...
(3x +6)(3x +8)/3 = 0
(x +2)(3x +8) = 0
The solutions are the values of x that make the factors zero:
x = -2, x = -8/3
__
b)(x +4)^2 = 3x +40 . . . . . . . . given
x^2 +8x +16 -3x -40 = 0 . . . . subtract the right side
x^2 +5x -24 = 0 . . . . . . . . simplify
(x +8)(x -3) = 0 . . . . . . factor
The solutions are the values of x that make the factors zero:
x = -8, x = 3
__
c)(x^2 -1)/2 -11x = 11 . . . . . given
x^2 -1 -22x -22 = 0 . . . . . . multiply by 2, subtract the right side
x^2 -22x -23 = 0 . . . . . . simplify
(x -23)(x +1) = 0 . . . . . . factor
x = 23, x = -1
_____
Additional comment
Factoring often gets to the solution with the least fuss when the solutions are rational. There are several ways factoring can be done when the leading coefficient is not 1. One of them is illustrated in (a) above. We will show two other methods that give the same result.
factoring by pairs
We have identified the factors of 3·16 = 48 that have a total of 14. We can use those factors to rewrite the 14x term in the equation.
3x^2 +6x +8x +16 = 0
Now, we can group the terms in pairs, and factor each pair. It does not matter which of the factors (6 or 8) you write first. You will end with the same result.
(3x^2 +6x) +(8x +16) = 0
3x(x +2) +8(x +2) = 0
(3x +8)(x +2) = 0 ⇒ x = -8/3, x = -2
__
factoring using the X method
This method is usually shown using a large graphic X. In the top quadrant is written the product of the leading coefficient and the constant: 3·16 = 48.
In the bottom quadrant is written the coefficient of the x-term: 14.
If one or the other, or both, of these top/bottom values is negative, be sure to keep the sign.
The side quadrants are then filled with values that have a product equal to the top number, and a sum equal to the bottom number. (Pay attention to the signs.) Further, in each of those quadrants, the number written is divided by the leading coefficient, and the fraction reduced to lowest terms.
Here, we would have 6/3 = 2 on one side, and 8/3 on the other side. Now the factors are written as (bx+a), where the reduced fraction on either side is a/b. In our example, the factors are (x+2) and (3x+8)
__
alternate X method
This starts off in the same way the X method does, as described above. However, the factors on either side of the X are not divided by the leading coefficient (a). If those side values are 'p' and 'q', the quadratic is written in factored form as ...
(ax +p)(ax +q)/a = 0
You will notice we used this form above: (3x +6)(3x +8)/3 = 0.
Now, the divisor 'a' can be used to reduce either or both of the numerator factors. Here, the entire factor of 3 can be removed from (3x+6) to make the factorization be ...
(x +2)(3x +8) = 0
__
Sometimes, one factor of the divisor will be removed from one term, and the other factor of it will be removed from the other term. An example of this might be ...
[tex]\dfrac{(6x+3)(6x+2)}{6}=\dfrac{6x+3}{3}\cdot\dfrac{6x+2}{2}=(2x+1)(3x+1)[/tex]
what is 65% more of 140
Answers
65% more than 140 is 231
23.15 – [ 115 + ( 12 - 25)]
Answers
Answer:
-78.85
Step-by-step explanation:
Using Order of Operations (PEDMAS):
23.15 – [ 115 + ( 12 - 25)]
= 23.15 – [ 115 + (-13)]
= 23.15 – [ 115 - 13]
= 23.15 - 102
= -78.85
A music store purchases a grand
piano, wholesale, for $5,000.
They markup the retail price 65%.
What is the retail price?
Answers
Answer: 8250
Step-by-step explanation:
Answer:
8548
Step-by-step explanation:
10 x + 2 y . Find P when: x = 3 and y = 6
help pleaseee
Answers
Answer:
42
Step-by-step explanation:
(10x3) + (2x6)
= 30 + 12
= 42
10x + 2 y = (10.3) +(2.6) = 30+12=42
Our answer is 42
Solve for x.
(−19)2=x
Answers
Answer:
Step-by-step explanation:
Answer:
x=-38
Step-by-step explanation:
-19*2=-38
Hope this helps! Pls give brainliest! Also sub to kgir633 on yt.
Anybody know the answer !!
Answers
Answer:
17.08
Step-by-step explanation:
When it reaches its maximum, suppose that y = 0
Therefore you will need to factorise and solve
-16x^2 + 267 x + 107 = 0
Here you can use the quadratic equation[tex]\frac{-b+-\sqrt{b^{2}-4ac } }{2a}[/tex]
Where you will get x = -0.39 seconds or 17.08 seconds (rounded to 2 decimal places according to the question
Because -0.39 is negative, this answer can be deleted
Leacing x = 17.08 seconds
The ground temperature at an airport is 14 "C. The temperature decreases by 6.2 "C for every increase of 1 kllometer above the ground. What is the temperature outside a plane flying at an altitude of 5 kilometers?
Answers
Answer:
-17 C
Step-by-step explanation:
14 - 5(6.2) = 14 - 31 = -17 C
Marcus has twice as many pens as Bryan. Together they have 36 pens. How many pens does each boy have?
Answers
Answer:
Marcus has 24 pens while Bryan has 12 pens.
Step-by-step explanation:
Let u rep 1 unit.
Marcus = 2u
Bryan = u
2u+u=36
3u=36
u=36÷3
=12
No. of pens Marcus has
= 2u
= 2×12
= 24
No. of pens Bryan has
= u
= 12
You need $145 in cash if you withdraw money from your savings account using the ATM how much will you need to withdraw in order to have at least one $145 based upon how ATM’s dispense money?
Answers
Answer:
290
Step-by-step explanation:
145 withdrawal free + 145 in cash = 290.
Electroboy has been charged up to +96 C which of course causes an electric field to emanate around him. An electroball charged to 2,8 C is thrown at him and gets close enough to experience an electric field of 20 N/C. What is the electric force on the electroball from electroboy's electric field at this moment?
Answers
Answer:
static electricty
Step-by-step explanation:
it is preserved charge
Answer:
its electroboom not boy
Step-by-step explanation:
lol its static
The equation 5y = 6 represents purchasing tubs of yogurt for $6. Which of these equations are equivalent to the equation 5y=6?
a 5y + 4 = 10
b 5y - 1 = 3
c 15y = 18
d 5y = 12
Answers
Answer:
blah blah
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
please help me with this question.
Answers
Answer:
Exact Form: 309/25
Mixed Form: 12 and 9/25
Step-by-step explanation:
the triangles are similar. what is the value of x? enter your answer in the box.
Answers
Answer:
l*b*h is the answer of this question
What is the length of the mid segment AB??
Answers
Answer:
14.5
Step-by-step explanation:
AB is halfway between MN and PO. this means it would be the distance halfway between 9 units (length of MN) and 20 units (length of PO). to find this, find the average of 20 and 9. 20+9= 29. 29/2= 14.5
If b = ⟨6,5⟩, and c = ⟨2,9⟩, find a = 5b − 6c.
Answers
Answer:
< 18, - 29 >
Step-by-step explanation:
a = 5b - 6c
= 5 < 6, 5 > - 6 < 2, 9 > { multiply each element by the scalar ]
= < 30, 25 > - < 12, 54 > [ subtract corresponding elements ]
= < 30 - 12, 25 - 54 >
= < 18, - 29 >
Answer:
a=(18,-29)
Step-by-step explanation:
You plug (6,5) in for 5b and you plug (2,9) in for -6c so now you get a=5(6,5)-6(2,9) then you cross multiply the 5 and the -6 therefore you get a=(30,25)+(-12,-54) then you add them together getting the answer a=(18,-29).
plsss help mee i donot now the answer
Activity 1: Identifying Hypothesis and Conclusion Directions: Identify the hypothesis and the conclusion for each of the following statements.
1. If you live in Manila, then you live in the Philippines.
2. If a triangle is a right triangle, then one of its interior angle is a 90-degree angle.
3. A square is not a triangle.
4. An even number is divisible by 2.
5. The measure of an acute angle is less than 90.
Answers
Answer:
1. If you live in Manila(hypothesis) then you live in the Philippines ( conclusion)
2. If a triangle is a right triangle (hypothesis), then one of its interior angle is a 90-degree angle ( conclusion)
3. A square is not a triangle (conclusion)
4. An even number is divisible by 2. (conclusion)
5. The measure of an acute angle is less than 90. (conclusion)