Answer:
Step-by-step explanation:
slope=m= 5
points=(-1,2)
By point-slope form:
[tex]y[/tex]-[tex]y_{1}[/tex]=m([tex]x-x_{1}[/tex])
Substitute the values in formula:
y-2=5(x+1) (It is the point slope form)
Now,
Slope intercept form:
y-2=5x+5
y=5x+5+2
y=5x+7
If you need to ask any questions, please let me know.
Equation -5+2 = -3 5+(-2) = 3 2+(-5)=-3 -3+5=2
Answer:
false
Step-by-step explanation
:
Alexander earns 12% commission each week. Last week, he sold $6,400 worth of stocks. How much did he make last week in commission? If he averages that same amount each week, how much did make in commission in 2011?
Answer:
Commission = $768
Total amount commission in 2011 = $41,472
Step-by-step explanation:
Commission = Sales × 12% of sales
Commission = $6,400 × .12
Commission = $768
Number of weeks in a year = 52 weeks
Total amount commission in 2011 = Commission per month × Number of
weeks in a year
Total amount commission in 2011 = $768 × 52
Total amount commission in 2011 = $41,472
Which linear equation represents the graph?
A) y = 7x + 3
B) y = 7x + 10
C) y = 1/7x+3
D) y = 1/7x+10
Answer:
y = 7x + 3
Step-by-step explanation:
A slope of 1/7 will give you a line that is not very steep. Therefore C and D is not the answer.
Now look at A and B. Check point (1, 10) into equations A and B because this point is on the given graph.
y = 7x + 3 y = 7x + 10
y = 7(1) + 3 y = 7(1) + 10
y = 7 + 3 y = 7 + 10
y = 10 (1, 10) y = 17 (1, 17)
Mira weighed 9 lb 4 oz and lost 2 lb 12 oz. How much did she weigh now?
Answer:
6.5lb or 6 lb 8oz
Step-by-step explanation:
A linear function g models a relationship in which the dependent variable decreases 3 units for every 5 units the independent variable increases. Graph g when g(0)=-3 . Identify the slope, y-intercept, and x-intercept of the graph.
Answer:
The slope (m = rate of growth) for this function is 3/5. So, m= 3/5.
The y-intercept (b) for this function is located at (0,3). So, b=3.
Therefore, h(x) = 3/5x + 3
Step-by-step explanation:
Let the independent variable be x and dependent variable be y
y=h(x)
h is a linear function so it is represented in the general form of y=mx+c where
m is slope and c is the y-intercept.
Given "the dependent variable decreases 3 units for every 5 units the independent variable increases."
When x increases by 5, y decreases by 3
So the slope = rate of change of y / rate of change of x = -3/5
Given h(0)=3, h(0)=m(0)+c=3
c=3
Combining slope and y-intercept, y=-3/5*x+3
x-intercept is when y=0
0=-3/5*x+3
3/5*x=3
x=3*5/3=5
x-intercept=5
The slope of the linear function 3/5.
The y - intercept of the linear function - 3.
The x - intercept of the linear function - 5.
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
A linear function g models a relationship in which the dependent variable decreases 3 units for every 5 units the independent variable increases.
And, g(0) = - 3
Now,
Since, A linear function g models a relationship in which the dependent variable decreases 3 units for every 5 units the independent variable increases.
So, Slope = Rate of growth
= - 3 / 5
Thus, The slope of the linear function - 3/5.
Hence, The general form of equation of line is,
⇒ y = mx + c
⇒ g (x) = - 3/5x + c
Since, g (0) = - 3
⇒ g (0) = - 3/5 × 0 + c
⇒ - 3 = c
Thus, The y - intercept of the linear function - 3.
Hence, We get the general form of equation of line as;
⇒ g (x) = - 3/5x - 3
For x - intercept put g (x) = 0, we get;
⇒ 0 = - 3/5x - 3
⇒ - 3/5x = 3
⇒ x = - 5
Thus, The x - intercept of the linear function - 5.
Therefore, The slope of the linear function 3/5.
The y - intercept of the linear function - 3.
The x - intercept of the linear function - 5.
Learn more about the equation of line visit:
https://brainly.com/question/18831322
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645 plus 763 to the nearest hundredth
Answer:
1408
What you have to do is 645 + 763 = 1408 that's how you doing I think so and sorry if I did it wrong
ANGLES OF A TRIANGLE SOMEONE ANSWER ASAP PLS ! );
Answer:
∠K = 123°
∠L = 97°
∠O = 83°
∠N = 40°
Step-by-step explanation:
∠K and ∡57° are Supplementary, so their sum is equal to 180°
180 - 57 = 123
∠K = 123°
∠N and ∡140° are also Supplementary
180 - 140 = 40
∠N = 40°
The area of a triangle is equal to 180 when all angles are added together
40 + 57 = 97
180 - 97 = 83
∠O = 83°
∠L is an outside angle, which is equal to the sum of the 2 further angles (in this case ∡57° and ∠N) which we found was 97° when solving for ∠O
∠L = 97°
Now to check ∠K we add ∠O and ∠N
83 + 40 = 123
Now we also check ∠O with ∡140°
140 - 57 = 83
So all of the angles check out correctly
solve the equation.
[tex]\sqrt{x(x+2)} = 0[/tex]
[tex]\sqrt{x(x+2)} = 0 <=> x(x+2)=0\\<=> x=0 /or/ x+2=0 <=> x=0 /or/ x=-2[/tex]
ok done. Thank to me :>
how do you tell between a linear and non-linear function?
Answer:
linear functions have no exponents higher than 1, and a graph that looks like a straight line. non-linear functions have at least one exponent higher than 1, and a graph that isn't a straight line.
Step-by-step explanation:
pls help asap MIDSEGMENTS
Answer:
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Please help! WILL MARK BRAINLIEST
Answer:
2nd option is correct
.........................
Answer:
1 1/9 ft^3
Step-by-step explanation:
5/3*1*2/3=10/9*1=10/9
10/9=1 1/9
A train left the station. It traveled 30 miles and dropped off passengers. Then it turned around and traveled 15 miles. Write an integer that shows how far it is from the station.
A car travels 60 miles per hour. What is the total distance the car will travel in 60 minutes?
Answer:
The car will drive 60 miles in 60 minutes (an hour)
Step-by-step explanation:
For every hour driven (60 minutes) the person will drive 60 miles, therefore it will travel a distance of 60 miles in 60 minutes
Find the slope of the line that passes through (10, 6) and (1,2)
Answer:
[tex]\frac{4}{9}[/tex]
Step-by-step explanation:
[tex]\frac{(2-6)}{(1-10)}[/tex]=[tex]\frac{-4}{-9}[/tex]=[tex]\frac{4}{9}[/tex]
(8+ 4)divided by 2 - 3
Answer:
3
Step-by-step explanation:
(8 + 4) / 2 - 3
12 / 2 -3
6 - 3
3
Answer:
3
Step-by-step explanation:
You do the parenthesis first (8+4)
Then you divide 12 by 2 if you are following Pemdas
6 - 3 = 3
Hope this helped!
if a man travels at an average speed of 122km per hour how far will he travel in 3 hours and 45 minutes
Find the missing value given the points and slope.
(9,7) and (x,4)
m=3/7
Answer:
Step-by-step explanation:
[tex]\sf 2x+21=3[/tex]
Free
[tex] \sf \longmapsto \: 2x + 21 = 3[/tex]
[tex]\sf \longmapsto2x = 3 - 21[/tex]
[tex]\sf \longmapsto2x = - 18[/tex]
[tex]\sf \longmapsto \: x = \frac{ - 18}{2} [/tex]
[tex]\sf \longmapsto x = - 9[/tex]
Answer:
[tex]\bf x=-9[/tex]
Step-by-step explanation:
[tex]\sf 2x+21=3[/tex]
Subtract 21 from both sides:-
[tex]\sf 2x+21-21=3-21[/tex]
Simplify
[tex]\sf 2x=-18[/tex]
Divide both sides by 2:-
[tex]\sf \cfrac{2x}{2}=\cfrac{-18}{2}[/tex]
[tex]\sf x=-9[/tex]
Water drains from a 60 gallon bath tub at a constant rate. It empties in 5
minutes. What is the rate?
Help me pls
Answer:
-12 gal / min
Step-by-step explanation:
-60/5=-12
need help asap MIDSEGMENTS
will give BRAINLIEST
Answer:
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What is the slope of the line?
Answer:
thanks
Step-by-step explanation:
Can someone please help me with this?
Obviously, Ali is correct. Khamis did a mistake, he forgot the negative sign of - 5, when he divided b. He should have let - 5b and divided it by - 5 like ali did.
Good Luck
Just this one question please There is no more. NO BOTS PLEASEE
Some artists look for ways to extend copyright for longer than the laws normally allow. Why do they do this?
Answer:
So that other people cannot use their music without the artists permission and usually payment.
Step-by-step explanation:
I'm not sure but this is my best answer!
List the multiples of 6 between 6 and 54
in order from least to greatest.
Multiples of 6: 6.
?
.24.
?
?
42,
?
54
Answer:
12, 30, 36, 48
Step-by-step explanation:
Given a 45-45-90 triangle with the hypotenuse measuring 5√7 feet. Which is the exact measure of each leg?
Answer:
Step-by-step explanation:
First, we know a 45-45-90 triangle has two legs that are the same because two angles are the same, so we can say that:
[tex]$a^2+b^2=c^2=a^2+a^2=c^2$[/tex]
Remember that [tex]a^2[/tex] and [tex]a^2[/tex] are the legs, which are the same length, so we can do this. Now, we solve the equation.
[tex]a^2+a^2=c^2\\2a^2=5\sqrt{7}\\2a=(5\sqrt{7})^2\\2a=5\\a=\frac{5}{2}[/tex]
HOPE THIS HELPS :D
The Pythagoras is the sum of the square of two sides equal to the square of the longest side. Then the exact measure of each leg is 9.4 ft.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
A right-angle 45-45-90 triangle with the hypotenuse measuring 5√7 feet.
We know that if two angles of any triangle are the same then their opposite sides are also the same.
Let each side length of x ft. Then by the Pythagoras theorem. we have
[tex]\begin{aligned} x^2 + x^2 &= (5\sqrt7)^2\\\\2x^2 &= 25 \times 7\\\\x^2 &= \dfrac{175}{2}\\\\x^2 &= 87.5\\\\x &= 9.354 \approx 9.4 \ \rm ft \end{aligned}[/tex]
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
Solve for the value of t (photo)
help pleaseeeeeeeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
ford would be 250 in metres and the decimal would be the smallest
jerry, Simon, curst, carl, ford
5) You roll a fair six-sided die twice. The
first roll shows a one and the second roll
shows a three.independent or dependent?
Answer:
Happy Chrismas My friend.
The volume of a box is given by V=3x^3 + 33x^2 + 84x. Determine expressions for a possible set of dimensions for this box.
Answer:
(-7,0) (-4,0)(0,0)
Step-by-step explanation:
4) Mason paid $54 for 9 lbs. of steak, and
Isabella paid $72 for 6 lbs. Which person
paid a greater ratio of dollars/lbs. of steak?
Answer:
Isabella paid more.
Step-by-step explanation:
$72/6 = $12.67
She paid twelve dollars for 1 lb of steak while Mason paid 6 dollars for 1 lb.
Answer:
Isabella has a greater ratio of dollars/lbs
Step-by-step explanation:
Mason paid $6/1 lb
Isabella paid $12/1 lb
Hope this helps!