The three different forms of slope formulas are m=(y-b)÷x, m=(y-y₁)÷(x-x₁), and m=(-A)÷B.
The slope gives the steepness of a straight line. The three different forms of the slope of a linear equation are slope-intercept form, point-slope form, and standard form.
From the equation of slope-intercept form y=mx+b, the slope is calculated using the formula, m=(y-b)÷x. Here, the slope is m and the y-intercept is b.
From the equation of the point-slope form (y-y₁)=m(x-x₁), the slope is calculated using the formula, m=(y-y₁)÷(x-x₁). Here, points on the line are x₁ and y₁.
From the equation of standard form Ax+By=C, the slope is m=(-A)÷B. Here, constants or integers are A, C, and B.
In general, the slope is calculated using the formula, m = (Δy)÷(Δx)= (y₂-y₁)÷(x₂-x₁). Here, in the line, the coordinate of the first point is (x₁, y₁), and the second point is (x₂, y₂).
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A car traveling at an average rate of 60 miles per hour will drive 270 miles in 4.5 hours.
A. True
O
B. False
A car traveling at an average rate of 60 miles per hour will drive 270 miles in 4.5 hours is true.
What is Speed?Speed is the time rate at which an object is moving along a path,
Given that car traveling at an average rate of 60 miles per hour will drive 270 miles in 4.5 hours.
We have to check whether the statement is true or false.
To check, we can use the formula:
distance = rate x time
Substituting the given values, we get:
distance = 60 x 4.5 = 270 miles
Therefore, the statement is true.
Hence, A car traveling at an average rate of 60 miles per hour will drive 270 miles in 4.5 hours is true.
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Your teacher is giving a test that has 5 more four-point questions than six-point questions.
The test is worth 120 points. Which system represents this information?
Answer:
x-y=5
4x+6y=120
Step-by-step explanation:
let x = # of 4-point questions
ley y = # of 6-point questions
# of 4-point questions is 5 more than # of 6-point questions
x=y+5 or x-y=5
now there's the matter of the points. Since each x is worth 4 points and each y is worth 6 points, they total number of points have to add up to 120, therefore:
4x+6y=120
The System of Equation is
x-y=5
4x+6y=120
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
let x be number of 4-point questions.
ley y be number of 6-point questions.
as, the 4-point questions is 5 more than 6-point questions
So, x=y+5
or x-y=5.................(1)
Since each x is worth 4 points and each y is worth 6 points, they total number of points is 120.
So, 4x+6y=120....................(2)
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how do i solve 2.5a+12=5a
Answer:
a
=
4.8
Step-by-step explanation:
there
Find the number of terms and the degree of this polynomial.
Answer:
Number of terms = 3
Degree = 6
Step-by-step explanation:
A polynomial is a mathematical expression that gives the detailed combination of variables with their coefficients, their positive exponential, and other variables using the operations of subtraction, addition, and multiplication
The number of terms in a polynomial is the number of different powers of added or subtracted in the expression
Therefore, the number of terms in the expression -3·s⁶ + 2·s⁴ + 3·s³ is 3 terms
Number of terms = 3
The degree of a polynomial is given by the highest power of the variables in the polynomial. Therefore, the degree of the given polynomial is 6
Degree = 6
Elena is ordering dried chili peppers and corn husks for her cooking class. Chili peppers cost $16.95 per pound and corn husks cost $6.49 per pound.
Elena spends less than $50 on d pounds of dried chili peppers and h pounds of corn husks.
Can Elena purchase 1.5 pounds of dried chili peppers and 3 pounds of corn husks and spend less than $50? Explain your reasoning.
Yes, Elena purchase 1.5 pounds of dried chili peppers and 3 pounds of corn husks and spend less than $50.
What is the reference as the equation?In its most basic form, an equation is an assertion that demonstrates that two formulas are equal. 63x + 5 = 14, for example, is an equation wherein 63x + 5 and 14 are two representations separated by a 'equal' sign.For the given question;
Let the pounds of dried chili peppers be 'd'.Let pounds of corn husks be 'h'.Chili peppers cost $16.95 per pound Corn husks cost $6.49 per pound.The equation becomes;
16.95 d + 6.49 h
16.95 (1.5) + 6.49 (3)
25.425 + 19.47
44.895 < $50
Thus, Elena purchase 1.5 pounds of dried chili peppers and 3 pounds of corn husks and spend less than $50.
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HELPPPPPP PLEASEEEEE BRAINLIEST IF CORRECT!!!
Answer:
1<7
Step-by-step explanation:
Hey there!
1.) adjacent
2.) vertical
3.) corresponding
4.) none of these
5.) 1 and 7, 3 and 5, 2 and 8, 4 and 6
6.) 2 and 7, 6 and 3
Have a terrifcly amazing day!
Solve the system of equations using subtraction.
3x - 2y = 5
3x + y = 11
(urgent please help me with this. Will give brainliest)
[tex] \frac{x + 1}{2} = \frac{x - 1}{1} + \frac{5}{x} [/tex]
Suppose f(x) = 3x^2 - 2x... Find f(-4)
[tex]4 \times 8 ^{2x + 1?} = 32 ^{x + 2} [/tex]
Answer:
x = 5
Step-by-step explanation:
__________________________________________________________
FACTS TO KNOW BEFORE SOLVING :-
[tex]a^x \times a^y = a^{x+y}[/tex]In an equation , if the bases are same in both L.H.S. & R.H.S. then , the power of the bases on both the sides of equation should be equal. For e.g. : [tex]a^x = a^y[/tex] ⇒ [tex]x = y[/tex] [∵ Bases are equal on both the sides]__________________________________________________________
[tex]4 \times 8^{2x+1} = 32^{x+2}[/tex]
Lets express it in terms of 2.
[tex]=> 2^2 \times 2^{3 (2x+1)} = 2^{5(x+2)}[/tex]
[tex]=> 2^2 \times 2^{6x+3} = 2^{5x+10}[/tex]
[tex]=> 2^{2 + 6x+3} = 2^{5x+10}[/tex]
[tex]=> 2^{6x+5} = 2^{5x+10}[/tex]
Here the bases on both the sides are equal. Hence ,
[tex]=> 6x + 5 = 5x + 10[/tex]
[tex]=> 6x - 5x = 10 - 5[/tex]
[tex]=> x = 5[/tex]
Find the solution of y = 4x + 2 for x = -5.
A.
(-5, -18)
B.
(-5, 22)
C.
(-18, -5)
Answer: THE ANSWER WOULD BE A. (-5, -18)
Notice how y=4x%2B2 is in slope-intercept form y=mx%2Bb where m is the slope and b is the y-intercept.
So this shows us that the slope is m=4 and the y-intercept is b=2 which is the point (0,2)
You can always plot an equation like this to find intercepts
and slope. Each point requires an x and a y. My
way is to make x+=+0 and find y,
then I make y+=+0 and find x
y+=+4x+%2B+2
y+=+4%2A0+%2B+2 solve for y
y+=+2
the point is (0,2)
then,
0+=+4x+%2B+2 solve for x
subtract 2 from both sides
4x+=+-2
x+=+-%281%2F2%29
the point is (-%281%2F2%29,0)
Once you have any two points, you can draw the line by connecting them
When the equation is in the form
y+=+mx+%2B+b
m = slope
b = y-intercept
So, your equation y+=+4x+%2B+2
m+=+4 (slope)
b+=+2 (y-intercept)
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form: (
−
5
,
−
18
)
Equation Form: x
=
−
5
,
y
=
−
18
can someone please help i promise i’ll mark brainliest!!
Answer: I’m so sorry I don’t understand it but you should try Photomath it’s a app that helps with math and gives answers to math problems. Another good app is Socratic it looks for answers for any subject.
Step-by-step explanation:
1/3(9x + 12) = 15
a. x=5
b. x=3.67
c. x=2.8
d. x=4.5
Answer:
b
Step-by-step explanation:
x=11/3 or 3.6667 which is b
Answer:
Answer might be b
Step-by-step explanation:
9x+12
-----—---- = 15
3
9x+12 = 15 *3
9x +12 = 45
9x=45-12
9x =33
x = 33
---
9
x = 3.6
Not sure what I did is correct so pls check
Darwin's best time for running 5000 metres is 16 minutes. He wants to run it in 15 minutes and 30 seconds.
What percentage reduction in time is this?
Please include explanation!
Answer:
3 percent
Step-by-step explanation:
convert to seconds
960 seconds to 930 seconds
30 seconds ÷ 960=3 per cent
The percentage reduction in time is required.
The percentage reduction is [tex]3.125\%[/tex]
The initial value of time = 16 minutes
Final value of time = 15 minutes and 30 seconds = 15.5 minutes
Percentage reduction is given by
[tex]\dfrac{\text{Old value}-\text{New value}}{\text{Old value}}\times 100\\ =\dfrac{16-15.5}{16}\times100=3.125\%[/tex]
The percentage reduction is [tex]3.125\%[/tex]
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In a study of all 3813 students at a college, it is found that 45% own a vehicle. Is this a statistic or parameter?
Answer:
statistic
Step-by-step explanation:
A CIRCLE HAS A CIRCUMFENCE 43.96 YD FIND THE RADUIS OF THE CIRCLE explain
Answer:
≈ 7
Step-by-step explanation:
What is the answer to number 3 I don't get it
Answer:
First is 144
Second is 16
Third is 9
Step-by-step explanation:
220 divided by 393,718? Math
Find the quotient
1. 22−9−2 ÷−5=
2. 3+ 27 ÷ +3=
Okay what’s the answer to this one plz
Answer:
what the FLIP
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
3x + 8 = 5x ( Inscribed angles on same arc are equal) 5x - 3x = 82x = 8x = 8 / 2x = 4Hope it will help :)
Find the area of the figure. PLEASE HELP
Answer:
23.49 in.
Step-by-step explanation:
Formula for area of triangle: 1/2 * b * h
1/2 * 16.2 = 8.1
8.1 * 2.9 =23.49 in.
At a car dealership, salespeople earn a 5% commission on the first $10,000 of every sale, plus a 3% commission on any amount over $10,000. A salesperson sold a car for $12,300. What was the total commission on the sale? help me due today
Answer:
The total comission on the sale was $375.
Step-by-step explanation:
Since the salesperson sold the car for $12,300, the total comission on the sale would be equal to the 5% of $10,000 plus the 3% of the remaining amount which would be:
Total comission=(10,000*5%)+(12,500-10000)*(3%)
Total comission=500+(2,500*3%)
Total comission=300+75
Total comission=375
According to this, the answer is that the total comission on the sale was $375.
solve -1/8y ≤ 34. then graph the solution.
Answer:
Multiply each term in −1/8y≤34 by −8. When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.
−1/8y x −8 ≥ 34 x −8 Simplify −1/8y x −8
y ≥ 34 x −8
Multiply 34 by −8.
y≥−272
Step-by-step explanation:
HELP REEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
Rounding
Step-by-step explanation:
Answer:
Round
Step-by-step explanation:
please help me guys!
its blur
how can we read it if your picture is blur
Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet?
Answer:
152
Step-by-step explanation:
the second one, ((6 x 5) x 4) +((5 x 4) x 2) = 160
the third one, ((7 x 6) x 4) + (6 x 4) x 2) = 216
the fourth one, ((8 x 4) x 4) + ((4 x 3) x 2) = 152
Step-by-step explanation:
I HOPE MY ANSWER HELPS U;)Which situation is best described by this number line?
Answer:
B? I think itts B
Step-by-step explanation:
-2x + 6 + 4x = -12
Solve for x
Answer:
x = -9
Step-by-step explanation:
-2x + 6 + 4x = -12
-2x + 4x = -12 - 6
2x = -18 -----Divide -18 by 2
x = -9
Solving quadratics equations by square root method
Answer:
Step-by-step explanation:
Here is an example:
[tex]3x^{2} +7=55[/tex]
-7 on both sides of the equation
[tex]3x^{2} =48[/tex]
divide by 3 on both sides
[tex]x^{2} =16[/tex]
square root the [tex]x^{2}[/tex] and 16
x=±4
Find the missing leg?
Answer:
11
Step-by-step explanation:
13×13 = 169
17 × 17 = 289
289 - 169 = 120
Square root of 120 is 10.95
Round answer to 11