[tex]y = -\frac{1}{2}x - 1[/tex]
Step-by-step explanation:
Let's pick two points on the line: [tex]P_1(-4, 1)[/tex] and [tex]P_2(2, -2).[/tex] Let's calculate the slope of this line using these points:
[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-2 - 1}{2 - (-4)} = -\dfrac{1}{2}[/tex]
With this value of the slope, we can write the general slope-intercept form of the equation as
[tex]y = -\frac{1}{2}x + b[/tex]
To solve for the y-intercept b, let's use either P1 or P2. I'm going to use P2:
[tex]-2 = -\frac{1}{2}(2) + b \Rightarrow b = -1[/tex]
Therefore, the slope-intercept form of the equation is
[tex]y = -\frac{1}{2}x - 1[/tex]
Here is another one if anyone can help me out
Answer:
1. 3 × Equation [A2] --> Equation [B2]
2. 4 × Equation [B1] + Equation [B2] --> Equation [C2]
Step-by-step explanation:
1. 3 × Equation [A2] --> Equation [B2]
Technically 1 x equation [A1] --> equation [B2] works, but I doubt you're meant to do that lol
Instead, this works:
4x × 3 = 12x
-7y × 3 = -21y
8 × 3 = 24
2. 4 × Equation [B1] + Equation [B2] --> Equation [C2]
(-3x × 4) + 12x = -12x + 12x = 0x
(2y × 4) + -21y = 8y - 21y = -13y
(7 × 4) + 28 = 28 + 24 = 52
=========================
I'll try to explain my process a little this time.
From A to B, you can see that equation 2 changed. Looking at the first term, 4x changed to 12x. Thats a multiplier of 3, and you can check that on the rest. In this case, that works.
Then from B to C, equation 2 changed again. This time, I noticed that x was canceled out. That means -12x had to have been added to 12x. In equation 1, theres a -3x. 4 times that is -12, and adding -12x to equation 2 works. Check that with the rest, and they all work.
The step club made friendship bracelet as a fundraiser and sold them for $1.75 each. The club made a profit of $182. How many bracelets did the step club make?
Answer:
104 bracelets
Step-by-step explanation:
182 ÷ 1.75 = 104
please help me with this
Answer:
∠5 is supplementary.
It forms a straight angle with ∠1.
The annual number of burglaries in a town rose by 50% in 2012 and fell by 10% in 2013. hence the total number of burglaries increased by 40% over the two year period.
a. by what percent has the number of burglaries actually changed in the two-year period?
b. by what percent would the crime have to decrease in the second year in order for the change over the two-year period to actually be a 40% increase?
The percentage change in the number of burglaries over the two-year period is 35% .
The change in burglaries over the two-year period to have a 40% increase is 6.7%.
Let's assume that the annual number of burglaries in 2011 is 1000. After the 50% increase in 2012, the number of burglaries would be: 1000(1.50) = 1500.
The number of burglaries after the 10% reduction in 2013 would be: 1500(.90) = 1350
The change in burglaries over the two-year period = (1350 / 100) - 1 = 35%
In order to determine how much burglaries would have to reduce in order to have a 40% change in burglaries, this formula would be used
(x - 1000) / 1000 = 0.40
x - 1000 = 400
x = 1400
The change in burglaries over the two-year period to have a 40% increase = (1400 / 1500) - 1 = 6.7%
To learn more, please check: https://brainly.com/question/9350849
What is the answer to this question: 8V+3=105
Note: this is Vertical/Adjacent/Complementary Angles (Algebraic)
8V+3=105
clt
8v=105-3
=102
divide both sides by 8v
8v=102/8v
V=12.75
Hi , do you love math ?
Answer: yes math is so good
Step-by-step explanation:
There are 10 girls in the class. This is three less thank half the number of boys . How many boys are in the class?
Answer:
there are 6 boys
Step-by-step explanation:
Round 909.09 to the nearest hundredth
Answer:
909.1
The 0 behind the decimal point is the tenth, so the digit behind the 0 is the hundredth, we round the 9 upward Which would be ten, so the ten would become 1 tenths making it be, 909.1
geometry homework help
Answer:
To make things easier if you were to find the angle of any exterior angle on a triangle, you can always add up the two remote interior angles in order to get the exterior angle on a triangle. So in this case 76 and 52 added up is 128
m<1= 128
For the first one (i think)
Well the triangles do give away the fact that 66 and 84 are in one of the shape. We know a triangle has 3 angle measures and if added up it would equal to 180.
66+84+x=180
You’d get x=30
Now we have 30 as angle 1.
angle 3 and 84 degrees are supplementary so we can just do
84+y=180 which in this case is 96 so angle 3 is 96
Now we need to find 2, we know that 3 is 96 and we have a 43 degrees already given. It’s a triangle so same thing
96+43+n=180
in this case n is angle 2 and the measure of angle 2 is 41 degrees.
Final answers:
m<1=30
m<2= 41
m<3= 96
Answer:
Step-by-step explanation:
Question 2
1 = 76+52=128
=180-128
=5266+84 = 150 180-150=30
2. 96+43=139 180-139=
=41
3.180-84
=96
no link or bot q bpe
Answer:
(3,7)
Step-by-step explanation:
n will be located in x positive , y positive
Find the exact value of the expression below
Sec 30degrees Cos 30degrees - tan 60degrees cot 60degrees
Answer:
0
Step-by-step explanation:
1×2÷√(3)×√(3)÷2 - √(3)×1÷√(3)
1-1
0
for more refer to the image
I=PRT used to calculate interest earned. How do I solve for T?
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Answer:
T = I/(PR)
Step-by-step explanation:
Solve for T the same way you solve for the variable in any proportion: divide both sides of the equation by its coefficient.
I = PRT
I/(PR) = PRT/(PR)
I/(PR) = T
_____
Additional comment
Please note that parentheses are required around the factors of the denominator when you write this in plain text.
I/PR ≠ I/(PR)
I/PR = (I/P)R . . . . . the order of operations requires the division occur before the multiplication
If you write this by hand, or in typeset form, the horizontal fraction bar serves to group the factors of the denominator:
[tex]T=\dfrac{I}{PR}[/tex]
Graph the system of linear inequalities. Your graph should demonstrate that you're following the instructions below.
Use x- and y- intercepts to graph inequality A.
Use point-slope form to graph inequality B.
A) 3x - 9y > 27
B) (y-3) ≤ -4/3 (x+7)
Show ALL work and EXPLAIN all your steps.
Thank you for helping me understand this.
PLEASE SHOW ME A PICTURE OF THE GRAPHED ANSWERS.
[tex]\\ \sf\longmapsto 3x-9y> 27[/tex]
[tex]\\ \sf\longmapsto x-3y>9---(1)[/tex]
And
[tex]\\ \sf\longmapsto y-3\leqslant -4/3(x+7)[/tex]
[tex]\\ \sf\longmapsto 3y-9\leqslant -4x+28[/tex]
[tex]\\ \sf\longmapsto 3y+4x\leqslant 37--(2)[/tex]
Graph attached
There are 150 buttons in a box.
24 children take 3 buttons each.
How many buttons are left in the box?
Show your method.
Answer:
78 buttons left
Step-by-step explanation:
I multiplied 24 children by 3 buttons because each child took 3 buttons and I got 72 buttons taken.
Then I subtracted 150 buttons which is the starting number by 72 buttons (the amount taken by the child's) to get 78 buttons left in the box. ( I just separated negative 72 buttons into -50 and -22 to make it easier)
helppppp meeeeeeeeeeeeeeeeeeeeeee
Answer:
D 104
Step-by-step explanation:
A and b are too small to have $71 left. C is also not enough if he had $71 left.
The equation C=5(F−32)9 can be used to convert temperatures in degrees Fahrenheit to degrees Celsius.
State of Water Temperature (°F)
Freezing Point 32
Boiling Point 212
Find the freezing point and boiling point of water in degrees Celsius.
a. freezing point:
°C
b. boiling point:
°C
The part wasted at the consumer or retail level is referred to as food waste. We make this distinction to address the root.
Answer:
Both of the freezing points would be °C
It is 30 miles into the town. Use the formula to work out how many km this is
Answer:
30*1.609=48.27
Hope This Helps!!!
Solve for x and thank you
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Answer:
x = 57.6
Step-by-step explanation:
The length of the segment on the right is 30/25 = 1.2 times the length of the segment on the left.
x = 1.2 × 48 = 57.6
_____
Additional comment
Parallel lines cut transversals proportionally. That is why 30/25 = x/48.
Please answer the question in the image
Answer:
I don't know i just need the points
What is the midpoint of the segment shown below?
A.(5,7/2)
B.(5,7)
C.(5/2,7)
D.(5/2,7/2)
Answer:
D
Step-by-step explanation:
[tex](x_{1},y_{1}) = (2 , 2)\\\\ (x_{2},y_{2}) = (3 , 5)\\\\\\Midpoint=\left(\dfrac{x_{1}+y_{1}}{2},\dfrac{x_{2}+y_{2}}{2} \right)\\\\\\=\left(\dfrac{3+2}{2},\dfrac{5+2}{2} \right)\\\\\\= \left(\dfrac{5}{2},\dfrac{7}{2} \right)[/tex]
Please answer. Geometry problem. Unit: Degrees
Answer:
17
Step-by-step explanation:
∠C is common in both triangles
equate them
∠C = 180- (x + 100) = 180 - ( 4x + 49)
x + 100 = 4x + 49
100 - 49 = 3x
51 = 3x
x = 51/3 = 17
which ones would be correct?
[tex] \: \: \: \: \: [/tex]
parallelogramA parallelogram has two pairs of congruent sides. For two line segments to be congruent, they must have equal length.hope it helps[tex] \: \: \: \: \: [/tex]
A spherical tank has a circular orifice in its bottom through which the liquid flows out. The following data is collected for the flow rate through the orifice as a function of time:
Hi small cats and cats and dogs have a great experience with the evening of the evening of 6th century the morning of this
1. Baking Blueberry Pies
Mrs. Berry is famous for her pies. She has been making pies in her bakery for many
years. She knows that it takes 1 2/3 cups of flour to make her special pie crust. She
buys flour in 25 pound bags and knows that each pound contains about 3 cups of flour.
How many pies can she expect to make from a 25 pound bag of flour?
Answer:
45 piesStep-by-step explanation:
25 pound bag contains:
25*3 = 75 cups of flourNumber of pies:
75 : 1 2/3 = 75 : 5/3 = 75 * 3/5 =45 pies2.
Fit a quadratic function to these three points:
(−2, 8), (0, −4), and (4, 68)
A. y = −2x2 − 2x − 4
B. y = 4x2 + 2x − 4
C. y = −4x2 − 2x − 4
D. y = −2x2 + 2x − 4
Answer:
It's C.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
just put the x and y values into the equations and see which equation stays true.
for example, point (4, 68) rules out A and C even without detailed calculation, because these 2 expressions can produce for positive x only negative y (and 68 is clearly a positive y).
so, when using this point in B :
68 = 4×4² + 2×4 - 4 = 4×16 + 8 - 4 = 64 + 8 - 4 = 68
correct.
and it is correct also for the other points.
so, B is the right answer.
2 (3) to the power of 3 + 5
Answer:
13122
Step-by-step explanation:
Our equation is 2(3)⁸
once its solve we get 13122 as our answer
A tank has a capacity of 10 gallons. When it’s full it contains 12% alcohol. How many gallons must be replaced by a 36% alcohol solution to give 10 gallons of 15% alcohol solution?
Answer:
Ie e did I
Step-by-step explanation:
djdusudusis
Write an equation of the line that passes through the given points (1, -6) and (1, 2).
Answer:
Step-by-step explanation:
NO LINKS!!!!!
identify a possible pair of values for a and c so that ax^2 + 10x = c has one real solution. Then write the equation.
The solution is a = 5 and c = - 5
What is the equation?
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Answer:
5x^2 +10x = -5
Step-by-step explanation:
The equation will have one solution when the discriminant is zero.
In standard form, the equation is ...
ax^2 +10x -c = 0
The discriminant of the equation ax^2+bx+c=0 is ...
b^2 -4ac
so the discriminant of your equation is ...
10^2 -4a(-c) = 100 +4ac
We want that to be zero, so we require ...
100 +4ac = 0
25 +ac = 0
ac = -25
Any pair of values of 'a' and 'c' that have a product of -25 will satisfy the requirement. As you state, one possible pair is a = 5 and c = -5. Putting these values into the given equation makes it ...
5x^2 +10x = -5 . . . . . the equation with a=5, c=-5
_____
Additional comment
Your problem statement does not require that 'a' be non-zero. If a=0, then the equation will have one real solution for any value of c.
If you restrict the solutions to integers, then possibilities include ...
(a, c) = (1, -25), (5, -5), (25, -1), (-25, 1), (-5, 5), (-1, 25)
Answer:
The equation is 5x+10x=-5
Step-by-step explanation:
guys help
Evaluate the numerical expression.
(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] =
Step-by-step explanation:
(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)]
= (25)2 × 100 ÷ 23 + [24 ÷ 8]
= 25 × 2 × 100/23 + 3
= 5000/23 + 3
= 5000+69/23
= 5069/23
= 220 9/23