The equation of line passing through points (-4, 1) and (2, 3) will be
3y = x + 7
An inequality in mathematics compares two values or expressions, showing if one is less than, greater than, or simply not equal to another value. The general equation of a straight line inequality is -
[y] < [m]x + [c]
[y] > [m]x + [c]
[y] ≥ [m]x + [c]
[y] ≤ [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight lineinequality can be also written as -
Ax + By + C > 0
By > - Ax - C
y > (- A/B)x - (C/A)
Given is inequality's solution graphed [Refer to graph attached].
The inequality whose solution is graphed is -
5x + 3 > 3
On solving -
5x + 3 > 3
5x + 3 - 3 > 3 - 3
5x > 0
x > 0
Therefore, the inequality whose solution is graphed is
5x + 3 > 3
(Refer the image attached, for reference)
To solve more questions on inequalities, visit the link below -
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Weekly Rate = $
Answer:
$837.96
got u bro good luck
Step-by-step explanation:
By setting up an equation based on her hourly work and pay, we find that Linda's hourly rate of pay is $8.5 per hour.
To answer this question, we need to set up an equation based on the information provided. We know that Linda earns a normal hourly rate for her first 40 hours and twice that for the hours she works over 40. The total money she made is $544.
If we define h as her hourly rate, then for the first 40 hours, she earns 40h dollars. For the extra hours (in this case 12), she earns double her normal rate, meaning she earns an additional 2h*12 dollars. Setting up the equation gives us:
40h+2h*12 = 544
Solving this equation will give us the value of h, which is her hourly rate. 40h+24h=544, simplifying this will result in 64h=544. So her hourly rate is 544/64 = $8.5.
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B. 5/8
C. 10
D. 2
Answer:
15 feet
Step-by-step explanation:
We have 2 similar right triangles with legs height and length of shadows.
height of men : length of shadows of the man = height of tree : length of shadows of the tree
5 : 8 = x : 24
8x = 5* 24
x = 5*24/8 = 15 (feet)
Answer:
15ft
Step-by-step explanation:
5 ft is to 8 ft
A ft is to 24 ft
A = 24*5/8
A = 15ft
15ft
Answer:
Amount of food need for 30 days = 14.4 kilogram
Step-by-step explanation:
Given information:
Amount of food dog eat each day = 0.48 kilogram
Find:
Amount of food need for 30 days
Computation:
⇔ Amount of food need for 30 days = Amount of food dog eat each day x number of days
⇔ Amount of food need for 30 days = 0.48 x 30
Amount of food need for 30 days = 14.4 kilogram
14.4 kilogram is right answer.
Answer:
y = (-1/19)(x - 8)² + 1521/76
Step-by-step explanation:
A parabola moves in such a way that it's distance from it's focus and directrix are always equal.
Now, we are given that directrix is y = 9.75 and focus is at (8, 0.25). Focus can be rewritten as (8, ¼) and directrix can be rewritten as y = 39/4
If we consider a point with the coordinates (x, y), it means the distance from this point to the focus is;
√((x - 8)² + (y - ¼)²)
Distance from that point to the directrix is; (y - 39/4)
Thus;
√((x - 8)² + (y - ¼)²) = (y - 39/4)
Taking the square of both sides gives;
((x - 8)² + (y - ¼)²) = (y - 39/4)²
(x - 8)² + y² - ½y + 1/16 = y² - (39/2)y + (39/4)²
Simplifying this gives;
(x - 8)² - (39/4)² = (½ - 39/2)y
(x - 8)² - 1521/4 = -19y
(x - 8)² - 1521/4 = -19y
Divide both sides by -19 to get;
y = (-1/19)(x - 8)² + 1521/76