-6x+4y=-12 in slope intercept form
The slope intercept form is y= 3/2 x - 3.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
We have the Equation as
-6x + 4y= -12
As, the slope intercept form is y= mx+ b
So, 4y= -12 + 6x
y= -12/4 + 6/4x
y = -3 + 3/2x
y= 3/2 x - 3
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Find the equation of the line shown
Answer:
y=x+1
Step-by-step explanation:
i hope this helps :)
Answer:
y=x+1
Step-by-step explanation:
The gradient is y2-y1:x2-x1 which is 9-1:8-0 ; for example using two points on the line. The gradient is 1, so y=x is the first thing we get. Then you will use a point that is on the line in that equation. For example: y=x, 2=1. So it cannot be like this so we have to add 1. 2=1+1, therefore y=x+1
can someone plz help answer this?
Please help! :D Pic is below and dont send links-
Answer:
Frogs : 7, 14, 28
Turtles : 3, 6, 12
Step-by-step explanation:
Multiply equivalently with the same multiple.
Equivalent ratios : (7 : 14) (6 : 12)
Answer:
7*2=14
14*2=28
3*2=6
6*2=12
7/3
14/6
28/12
A boy pulls the handle of a lawn mower at an angle of 30° to the horizontal with a force
of 120N. Calculate the work done when the mower moves through a distance of 12.8m.
(3mks)
If the mower is pulled over a flat horizontal surface, then first get the component of the force in the direction of the mower's displacement:
(120 N) cos(30°) = 60 √3 N ≈ 103.923 N
Then the work done by the boy on the mower over a distance of 12.8 m is
(103.923 N) (12.8 m) ≈ 1330.2 Nm ≈ 1330 J
Check
Consider the expression.
1. Express each exponent in expanded form:
6.6.6.6.6.6.6
6.6.6.6
6.6.6.6.6.6.6
6.6.6.6
2. Divide common factors:
What is the exponent of the simplified power?
Done
Answer:
[tex](a)\ \frac{6^7}{6^4} = \frac{6*6*6*6*6*6*6}{6*6*6*6}[/tex] --- expanded form
[tex](b)\ \frac{6^7}{6^4} = 6*6*6[/tex] --- Divide common factor
(c) The exponent of the simplified power is 3
Step-by-step explanation:
The original question is:
[tex]\frac{6^7}{6^4}[/tex]
Required
- Express the exponents in expanded form
- Divide common factors
We have:
[tex]\frac{6^7}{6^4}[/tex]
In indices:
[tex]x^2 = x * x[/tex]
So, the above expression becomes:
[tex]\frac{6^7}{6^4} = \frac{6*6*6*6*6*6*6}{6*6*6*6}[/tex]
Divide the common factors, to give:
[tex]\frac{6^7}{6^4} = 6*6*6[/tex]
Express as an exponent
In indices;
[tex]x * x * x = x^3[/tex]
So, we have:
[tex]\frac{6^7}{6^4} = 6^3[/tex]
The simplified power is [tex]6^3[/tex] and 3 is the exponent
Another bowler, Ryan Shafer, has a mean absolute deviation of 5. Based on the mean absolute deviation of Norm Duke, who has been the more consistent bowler?
Answer:
Ryan is a more consistent performer
Step-by-step explanation:
The complete question is
HEL 1. Shown are the final scores for Norm Duke in the past eight bowling tournaments.
299, 281, 285, 269, 280, 269, 286, 287
Part A: What is the mean absolute deviation of Norm Duke’s scores?
A.
7.50
B.
7.00
C.
7.25
D.
6.75
Part B: Based on the mean absolute deviation from Part A, who has been the more consistent bowler if Ryan Shafer has a mean absolute deviation of 7?
Solution
First we will find the mean deviation of Duke is 7.5
The standard deviation of Ryan is 7.0. This means that the average variation in case of Duke is higher than that of average variation of Ryan.
Hence, Ryan has been more consistent performer
Match the following three scenarios. Are the equations Always True, Never True, or Sometimes True?
A(-1,1) and P(a,b) are two points, where a and b are constants. The gradient of AP is 2. Find an expression for b in terms of a.
Answer:
b = 2a + 3
Step-by-step explanation:
Here, we want to write an expression for b in terms of a
Mathematically, the formula for the slope of a line is
m = (y2-y1)/(x2-x1)
m is 2
(x1,y1) = (-1,1)
(x2,y2) = (a,b)
Substituting these values
2 = (b-1)/(a-(-1))
2 = b-1/a + 1
2(a + 1) = b-1
2a + 2 = b- 1
2a + 2 + 1 = b
b = 2a + 3
what is 2x+4
dhfbwaehaskjbdjk.sabhdsahdiasebfsdafvasdgdsf
Answer: look at the picture
Step-by-step explanation: Hope this help :D
Tom spends 30% of his monthly budget on rent. His total monthly budget is 3,000 how much does Tom spend on rent?
Answer:
Total rent= $900
Step-by-step explanation:
Giving the following information:
Total monthly budget= $3,000
Percentage of rent in the budget= 30%
To calculate the monetary value paid in rent, we need to use the following formula:
Total rent= percentage of rent paid*total monthly budget
Total rent= 0.3*3,000
Total rent= $900
find the height of a cone with a volume of 21ft and a radius of 4ft
here's the solution,
volume of cone :
=》
[tex]v = \dfrac{1}{3} \pi {r}^{2} h[/tex]
=》
[tex]21 = \dfrac{1}{3} \times 3.14 \times4 {}^{2} \times h [/tex]
=》
[tex]h = \dfrac{21 \times 3}{3.14 \times 16} [/tex]
=》
[tex]h = 1.253[/tex]
height = 1.25 ft (approximate)
The ages of the employees at Solar Systems, Inc. Is normally distributed with a mean of 32.7 years and a standard deviation of 1.8 years. What percentage of employees at Solar Systems, Inc. Are younger than 30 years old? Round your answer to the nearest tenth of a percent.
Answer:
6.7%
Step-by-step explanation:
Mean = 32.7
Standard deviation = 1.8
Percentage of employees younger Than 30 years
Obtained the Standardized age, x < 30
Z = (x - mean) / standard deviation
Z = (30 - 32.7) / 1.8
Z = - 2.7 / 1.8
Z = - 1.5
Obtain the probability :
Using a Z probability calculator or standard normal table :
P(Z < - 1.5) = 0.066807
0.066807 * 100% = 6.7%
Which statements is true about figure DEF?
(I NEED HELP PLEASE)
ITS DUE TODAY
Answer:
It's on the third at the picture
Step-by-step explanation:
hope it helps make brainlliest ty the
El 20%de los estudiantes de un colegio que tiene 240 alumnos practican deporte ¿cuántos estudiantes practican deporte?
Answer:
20% de 240=20×240÷100= 48 practican deporte
mr. Smith took a job through an employment agency the job pay $66000 per year he must pay a fee to the employment agency the fee is 15% of his first four weeks pay how much money must Mr Smith pay the agency to the nearest cent
Answer:
761.54$
Step-by-step explanation:
Step-by-step explanation:
the answer is £761.54
if I am right plz give brainliest
Mguel sells nsurence. He earns a 6% commision on each sell he makes. Miguel has a goal of earning $600 in commisions. Miguel needs to sell what Worth of nsurence to meet his goal.
Answer:
$10,000= sales
Step-by-step explanation:
Giving the following information:
Commission rate= 6%
Desired total earnings= $600
To calculate the sales level required to reach the objective, we need to use the following formula:
Desired earning= commission rate*sales
600= 0.06*sales
600/0.06= sales
$10,000= sales
What is the vertex of y=-5(x+3)^2+5
Answer:
(-3,5)
Step-by-step explanation:
Rewrite in vertex form and use this form to find the vertex.
Is there sufficient evidence to conclude that people react faster to a red stimulus? Use a = 0.1.
a) For di = X - Y , what does it mean for d; to be positive? (Did they react faster to the red or blue stimuli?)
b) What is the null and alternative hypothesis?
c) What is the test statistic and p-value?
d) Should we reject the null hypothesis?
Answer:
the answer is either B or C i beloeve
perform the indicated operation
1.(3x+8)+4x-3)
2.(7x-8)-(2x+4)
3.(5x2-8x+6)-(3x2-3x+2)
Answer:
1. 7x+5 2.5x-12. 3.2x^2+5x+4
Step-by-step explanation:
if you look up mathaway and put the equations in. it will tell you all the steps. hope this helps.
Answer:
hmmmmmmm
Step-by-step explanation:
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find the area of the pentagon in the diagram below.
15 square inches
20 square inches
25 square inches
28 square inches
The area of the pentagon is approximately 15 square inches.
To find the area of the pentagon, we can use the formula for the area of a regular pentagon:
Area = (5/4) * (s²) * (1/tan(π/5)),
where "s" is the length of the side of the pentagon.
Given that the sides of the pentagon are as follows:
Two smallest sides = 2 inches,
Two largest equal sides = 4 inches,
One other equal side = 3 inches.
Since the pentagon is not a regular pentagon, we need to find the area by dividing it into different shapes and then calculating their individual areas.
The pentagon can be divided into three shapes: a rectangle and two triangles.
Rectangle:
The two smallest sides (2 inches) form the length and width of the rectangle.
Area of the rectangle = Length * Width = 2 inches * 2 inches = 4 square inches.
Triangle 1:
The two largest equal sides (4 inches) and one of the 3-inch sides form a triangle.
To calculate the height (h) of the triangle, we can use the Pythagorean theorem, since it is a right triangle.
h² = (4 inches)² - (1.5 inches)², [1.5 inches is half of the 3-inch side]
h² = 16 inches² - 2.25 inches²,
h² = 13.75 inches²,
h ≈ 3.7 inches.
Area of Triangle 1 = (1/2) * Base * Height = (1/2) * 3 inches * 3.7 inches ≈ 5.55 square inches.
Triangle 2:
The two largest equal sides (4 inches) and the other 3-inch side form another triangle.
Using the same height (3.7 inches) from Triangle 1:
Area of Triangle 2 = (1/2) * Base * Height = (1/2) * 3 inches * 3.7 inches ≈ 5.55 square inches.
Now, to find the area of the pentagon, we add the areas of the rectangle and the two triangles:
Total Area = Area of Rectangle + Area of Triangle 1 + Area of Triangle 2
Total Area = 4 square inches + 5.55 square inches + 5.55 square inches
Total Area ≈ 15.1 square inches.
Therefore, the area of the pentagon is approximately 15.1 square inches.
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Factor the trinomial below.
x^2+4x-12
Answer:
(x+6)(x-2)
Step-by-step explanation:
using the x method, the only two numbers that multiply to get -12 and add to get 4 are 6 and -2
Answer:
(x+6)(x-2) A P E X :)
Show all work to factor x4 – 10x^2 + 9 completely.
Answer:
(x+1)(x-1)(x+3)(x-3)
Step-by-step explanation:
it is a fourth degree trinomial
1) find two number whose sum is -10 and whose product is 9
the two numbers are -1 and -9
2) write the trinomial as a multiplication in this way
(x^2-1)(x^2-9)
3) the two factors are both a difference of tho squares.
so we can rewrite it as
(x+1)(x-1)(x+3)(x-3)
A triangular prism has base edges 3 cm, 6 cm, and 7 cm long. Its lateral area is 464 cm^2. What is the height of the prism? Simplify your answer.
Answer:
A triangular prism has base edges 4 cm, 5 cm, and 6 cm long. Its lateral area is
300 cm2.
What is the height of the prism?
PLEASE HELP I really need help please heplp
Answer:
im not sure but i think its A
Step-by-step explanation:
please help find median and mean of each data display.
Answer:
median: 60
mean:44
Step-by-step explanation:
80-20=60
30+50+80+40+20=220
220÷5=44
what is the slope of the line?
Answer: -3/2
Step-by-step explanation:
rise / run . the line is decreasing vertically by 3 and increasing horizontally by 2.
Steffie makes a scale drawing for a crate with a scale factor of 1 to 3 the dimensions of her scale drawing are 15 inches long by 12 inches wide. The builder creates a scale drawing of the crate with a scale factor of 1 to 9
Answer:
The length is 5 inches and the width is 4 inches
Step-by-step explanation:
Steffie makes a scale drawing for a crate with a scale factor of 1:3. The dimensions of her scale drawing are 15 inches long by 12 inches wide. The builder creates a scale drawing of the crate with a scale factor of 1:9. What are the dimensions of the builder's scale drawing? A. The length is 4 inches and the width is 5 inches B. The length is 45 inches and the width is 36 inches. C. The length is 5 inches and the width is 4 inches. D. The length is 36 inches and the width is 45 inches
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
dimensions of the image steffie scaled = (15 x 3) by (12 x 3) = 45 by 36
Builders scaled image = (45 / 9) by (36 /9) = 5 by 4
Use the series below to answer the following questions.
Answer:
a1=4, r=5, n=6
Step-by-step explanation:
got it correct on edge
b= first option
c= 15,624
Answer:
a1=4, r=5, n=6
b= first option
c= 15,624
Step-by-step explanation:
It is right on edge
Describe a circumstance where there would NOT be both a positive and a negative solution, when finding the square root.
Answer:
If the value of the discriminant is equal to zero
If the value of the discriminant will equal to zero then there will not be both a positive and a negative solution, when finding the square root.
What is square root?The square root is the number with a power of 1/2 we can also say that by taking the square root we can find the original value of the number.
So from the condition given in the question that:-
There would NOT be both a positive and a negative solution, when finding the square root.
So if the number is zero then there will not be both a positive and a negative solution, when finding the square root.
= √0 = ± 0 = 0
Hence the value of the discriminant will equal to zero then there will not be both a positive and a negative solution, when finding the square root.
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