Answer:
A) You would use the two points that are closest to the graphed line
(2,7) and (8,13)
B) Slope = change in Y over the change in X:
Slope = (13-7) / (8-2) = 6/6 = 1
Slope = 1
c) Point slope is written as y -y1 = m(x-x1) where m is the slope y1 is the first Y value and x1 is the first x value.
Equation is: y-7 = x-2
d) To rewrite y -7 = x-2 in slope intercept form, you need to isolate y.
To isolate Y add 7 to both sides:
y = x +5
Step-by-step explanation:
The equation of line which passes through point (-7,-2) and having slope 3 is y = 3x + 10.
What is Algebraic expression ?
Algebraic expressions are numbers expressed using letters or alphabets without specifying their values. Algebra taught us how to express unknown values using letters such as x, y, and z. There can also be a single value that is placed before and multiplied by a variable in an algebraic expression in addition to these letters, which are called variables.
Here, it is given that line passes though point (-3,1) and having slope of 3.
Now, Let us find the equation of the line using point-slope equation of line :
(y-y₁) = m(x-x₁)
Substituting all the values in above equation to get the equation of line :
(y-1) = 3(x-(-3))
y -1 = 3x + 9
y = 3x + 9 + 1
y = 3x + 10
Therefore, the equation of line which passes through point (-7,-2) and having slope 3 is y = 3x + 10.
check and know more about line here :
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#SPJ5
What is the slope of the line that passes through (-12, -5) and (0, -8)?
Answer:
-1/4
Step-by-step explanation:
Use the slope formula
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\frac{-8-(-5)}{0-(-12)}[/tex]
Which equals -1/4
please help me
3x≤21
x≤__?
Answer:
divide both sides by 3
givea you
x<= 7
Tonya's mom gave her $15.00 to spend on a Saturday outing with her friends. She spent $8.50 going to a movie. How much money does she have left to spend on lunch?
Step-by-step explanation:
please mark me as brainlest
Which of the following are valid names for the given triangle? Check all that apply
Step-by-step explanation:
i think the answer is c MAX
Two fifths divided by one half times ( negative one minus 2)
The admission fee at an amusement park is $15.50 for children and $20.00 for adults. One day 217 people entered the park and the total admissions fees collected was $3.782
Define your variables as
"C" = # of children
"a" = # of adults
Write a system of equations to represent this information solve the system to find out how many children and how many adults came to the amusement park that day.
Answer:
Children = 124
Adults = 93
Step-by-step explanation:
x = children
y = adults
x + y = 217
x = 217 - y
15.50x + 20y = 3782
15.50 (217-y) + 20y = 3782
3363.50 - 15.50y + 20y = 3782
4.5y = 3782 - 3363:50
y = 418.50/4.5
y = 93
x + 93 = 217
x = 217 - 93
x = 124
Which statement corresponds to the values of x shown on the following number line? (Gray line is answer, dark black line is just number line)
a) -4 5x<2
b) -4
c) -45x>2
d) -42 x > 2
Answer:
a)-4 5×<2
Step-by-step explanation:
#CarryOnLearningQuestion is in the pic :)
Answer:
d+d=e
Step-by-step explanation:
An angle measures 68° less than the measure of its complementary angle. What is the measure of each angle?
$40 jacket is 25% off how much will u save
Answer:
10 dollars
Step-by-step explanation:
Simplify the expression (3 − 4)(6 + 7) − (2 − 3). show your work
Answer:
-12
Step-by-step explanation:
[tex]=-1\cdot \left(6+7\right)-\left(2-3\right)\\=-1\cdot \:13-\left(2-3\right)\\=-13-\left(-1\right)\\=-12[/tex]
Becky has 30 T-shirts in a drawer: 12 concert shirts, 8 team shirts, and 10 plain shirts. Of
the 10 shirts she randomly selects to give to charity, 3 are concert shirts. How does this
frequency compare to the expected frequency based on the probability of randomly
selecting a concert T-shirt?
Answer:
The chance of her selecting a Cocert shirt are 12/30 which means therw is more probability she would choose at least one and the least probability to choose a Team sirt since the odds are 8/30 so it is expected she would select 4 concert shirts not 3, at lest for me.
Jon painted 4/5 of his house on Saturday on Sunday he paints 2/3 of what was left how much still needs to be painted
Answer: Jon has 1/5 left to paint
Line A is perpendicular to Line B.
If the slope of Line Ais ,
what is the slope of Line B?
Enter the correct symbol, + or -.
Answer:
-7/3
Step-by-step explanation:
the answer is the negative reciprocal.
Fining right answer
Branleist
please help me on this question ASAP
i need it dont by midnight and its already 10:30.
Answer:
a) 3(17 )+ 4(9) = 81
b) 13.5m/s^2
Step-by-step explanation:
trust
Select all the statements that best describe the table below.
The Correct choices are :
The rate of change is not constant This is a negative relationship The relationship is non - linear The dependent variable is selling price The independent variable is ageAnswer:
See belowStep-by-step explanation:
The table shown inconsistent change of price over the year. The price drops down and is negative.
Correct choices are:
2, 4, 5, 7, 10The width of a rectangle is three units less than the length. The area of the rectangle is 4 units. What is the length, in units, of the rectangle
length is 4
area= l*w
4-3=1
4*1= 4
2 For each figure, are 21 and 22 adjacent angles or vertical angles? Explain.
b.
a.
2
Answer:
a is vertical and b is adjacent angles
Please no links will mark brainiest for complete and correct answer.
question is in pic below pls help me
I need help w/ this please help me!!
Answer:B
Step-by-step explanation:
B
Answer:
y = -4/3x - 4
Step-by-step explanation:
The table shows the heights that four people parachute from an airplane. What is the range of the heights? Write your answer as a decimal or fraction in simplest form
The range is 7/20 of a mile.
Find the surface area of the cylinder. Please help
the length is 12in
the diameter is 5in
227.77in²
Hope this helped you- have a good day bro cya)
6 square root x 6 square root x 6 square root
Answer:216
Step-by-step explanation:
Is this correct?
If it’s not, help me :(
A biologist is developing two new strains of bacteria. Each sample of Type 1 bacteria produces four new viable bacteria, and each sample of Type II bacteria produces three new viable bacteria. Altogether, at least 240 new viable bacteria must be produced. At least 20, but not more than 60, of the original samples must by Type I. Not more than 70 of the original samples can be Type II. A sample of Type I costs $5 and a sample of Type II costs $7. How many samples of each bacteria should the biologist use to minimize the cost? What is the minimum cost?
The cost can be optimized by using a Linear Programming given the linear constraint system
To minimize the cost, the biologist should use 60 samples of Type I bacteria and 0 samples of Type II bacteriaReason:
Let X represent Type 1 bacteria, and let Y, represent Type II bacteria, we have;
The constraints are;
4·X + 3·Y ≥ 240
20 ≤ X ≤ 60
Y ≤ 70
P = 5·X + 7·Y
Solving the inequality gives;
4·X + 3·Y ≥ 240
[tex]Y \geq 80 - \dfrac{4}{3} \cdot X[/tex] (Equation for the inequality graphs)The boundary of the feasible region are;
(20, 70)
(20, 53.[tex]\overline 3[/tex])
(60, 0)
(60, 70)
The cost are ;
[tex]\begin{array}{|c|c|c|}X&Y&P= 5\times X + 7 \times Y\\20&70&590\\20&53.\overline 3&473.\overline 3\\60&0&300\\60&70&790\end{array}\right][/tex]
Therefore, the minimum cost of $300 is obtained by using 60 samples of Type I and 0 samples of Type IILearn more here:
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solve for x.
- 6 ≥ 10 - 8 x
Answer:
[tex]x \geqslant 2 \: \: \: \: or \: \: \: \: 2 \leqslant x \\ [/tex]
Step-by-step explanation:
[tex] - 6 \geqslant 10 - 8x \\ - 6 - 10 \geqslant - 8x \\ - 16x \geqslant - 8x \\ \frac{ - 16}{ - 8} \leqslant x \\ 2 \leqslant x[/tex]
Answer:
x ≥ 2
Step-by-step explanation:
-6 ≥ 10 - 8x
=> 8x - 6 ≥
=> 8x ≥ 10 + 6
=> 8x ≥ 16
=> x ≥ 16/8
=> x ≥ 2
Write the word sentence as an equation. Then solve.
The quotient of a number x and −1.5 is 21
Answer:
X = 31.5
Step-by-step explanation:
X / 1.5 = 21
X = 21 * 1.5
PLEASE PLEASE HELP ME
A pole that is 3m tall casts a shadow that is 1.56m long. At the same time, a nearby building casts a shadow that is 47.45 long. How tall is the building? Round your answer to the nearest meter.
Answer:
49.0?
Step-by-step explanation:
its probably wrong lol
I would say 50 meters
What is an equation of the line that passes through th (3,-1) and has a slope of 2?
The given point to us is (3,-1) and the slope of the line is 2 . We can use the point slope form of the line as ,
[tex]\sf\longrightarrow m ( x - x_1) = y - y_1[/tex]
Substitute the values ,
[tex]\sf\longrightarrow 2( x - 3 ) = y - (-1) [/tex]
Simplify LHS and RHS ,
[tex]\sf\longrightarrow 2x - 6 = y +1 [/tex]
Put all terms on one side ,
[tex]\sf\longrightarrow \boxed{\bf 2x - y -7=0} [/tex]