Answer:
y-intercept = 1
Slope = 4
Step-by-step explanation:
First, we know that the point-slope equation of a line is given as y = mx + b. Where,
m is the slope, and
b is the y-intercept.
Now let's use this knowledge to solve the given problem.
✔️y-intercept of the equation, y = -2x + 1, would be what? What does b (y-intercept) represented by in the equation?
Our answer is "1".
y-intercept = 1
✔️Slope of y = 4x - 3:
The slope (m) in this equation is 4.
Consider the line y = 7x-3.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Answer:
Gradient of parallel line= 7
Gradient of perpendicular line [tex] = - \frac{1}{7} [/tex]
Step-by-step explanation:
The equation of the line is already in slope-intercept form (y= mx +c). This means that the coefficient of x is the gradient and the constant -3 is the y-intercept of the line.
y= 7x -3
Gradient= 7
Parallel lines have the same gradient.
Thus, the slope of the line parallel to this line is also 7.
The product of the gradients of 2 perpendicular lines is -1.
(Gradient of perpendicular line)(7)= -1
Gradient of perpendicular line
= -1 ÷7
[tex] = - \frac{1}{7} [/tex]
Hello! :)
Parallel lines have the same slope.
If one line has a slope of 7, then the line parallel to it has a slope of 7 as well.
Now, perpendicular lines have slopes that are opposite reciprocals. It means we take the slope of one line, make it negative, and flop it over:
[tex]7\\-7\\-\frac{1}{7}[/tex]
Hope it helps. Feel free to ask me if you have any questions.
~A determined teen
[tex]MagicalNature[/tex]
10 = 2j – 4
what does j =
Answer:
j=7
Step-by-step explanation:
10=2j-4 add 4 on both sides
10+4=2j
14=2j divide by 2 on both sides
7=j
Is this graph and example of sun or cos graph?
Write each phrase as an expression. A number more than -13
Answer:
-13+n
Step-by-step explanation:
n stands for a number
A vehicle travels 140 miles in 5 hours. At this rate, how many miles will the vehicle travel in 7 hours? please help I just failed my test I made a 38%
Answer:
28 mph
Step-by-step explanation:
I dont know if this helped but if it did then your welcome? I dont know if this helped sorry TwT
Graph the solution set to this inequality 3x -12 >_ 7x+4
Answer:
x [tex]\leq[/tex] -4
Step-by-step explanation:
1. 3x-12 [tex]\geq[/tex] 7x+4
add 12 to 12 to cancel it out, add 12 to 4.
2. 3x [tex]\geq[/tex] 7x+16
subtract 7x from 7x to cancel it out, subtract 7x from 3x.
3. -4x [tex]\geq[/tex] 16
divide -4 from -4x to cancel it out, divide -4 from 16.
4. x [tex]\geq[/tex] -4
since division was involved, the inequality symbol needs to be reversed.
ANSWER: x [tex]\leq[/tex] -4
Find the height of a square pyramid that has a volume of 8 cubic feet and a base length of 2 feet.
1) 6 feet
2) 16 feet
3) 12 feet
4) 4 feet
Step-by-step explanation:
Volume of square pyramid
= (Base length)² * (Height/3).
Therefore we have 8 = 2² * (h/3).
=> 8 = 4 * (h/3), h/3 = 2, h = 6.
Hence the height is 6 feet. (1)
Which statement is false?
1) All points with an x-value of 3 are located in Quadrant I.
2) There is only one point on the coordinate plane that is on both the x- and y-axes.
3) All points with an x-value of 0 are located on the y-axis.
4) There is only one point on the coordinate plane with an x-value of 2 and a y-value of 2.
Answer:Choice A) All points with an x-value of 3 are located in Quadrant I.
We can show it is false through the use of a counter example. For instance, the point (3, -5) is not in quadrant 1, but rather in quadrant 4.
We would need to say "all points with x value 3 and positive y value" to ensure the point is in quadrant 1.
Cilia are very thin, hair-like projections from cells. They are 2.0 × 10–4
millimeters wide. What is the maximum number of cilia that would fit
side by side—without overlapping—across a microscope slide that is 25
millimeters wide? Write the answer in scientific notation.
A. 8.0 × 10–6
B. 1.25 × 10–3
C. 8.0 × 102
D. 1.25 × 105
C.8.0×102
that is my answer#study well:-)subtract 9 from y, then subtract 8 from the result
Answer:
(y - 9) - 8
Step-by-step explanation:
The square ABCD has side length 20 cm,
E is the midpoint of BC,
20 cm
20 cm
Work out the length of AE,
Give your answer correct to one decimal place.
Answer:
AE=22.4
Step-by-step explanation:
BE is 1/2 of BC
BC is 20 cm All sides of a square are equal
BE = 1/2 BC Property of a midpoint.
BE = 10
Now just use Pythagorus
AB^2 + BE^2 = AE^2
AE^2 = 20^2 + 10^2 Perform the sqrs
AE^2 = 400 + 100 Add the terms
AE^2 = 500 Take the square root of both sides
√AE^2 = √500
AE = 22.36
AE ≈ 22.4
How to graph -2,-2
does it just go vertical or horizontal?
Marking brainiest
Jessica melts 200 grams of dark chocolate that contains 60% cocoa and mixes it with 200 grams of milk chocolate that contains 30% cocoa
What is the concentration of cocoa in the resulting mixture?
Answer:
45%
Step-by-step explanation:
200g milk chocolate
200g dark chocolate
= 400g of chocolate
x = the %
x/100 = 180/400
18000 = 400x
x = 45
45%
Which equation is equivalent to 1/5x - 3 = 2/3
Answer:
x = 55/3
Step-by-step explanation:
1/5x - 3 = 2/3
You want to move the constant of 3 to the right side.
1/5x = 2/3 + 3
To combine 2/3 and 3, set a common denominator.
1/5x = 2/3 + 9/3
Add.
1/5x = 11/3
Divide by 1/5 or multiply by 5/1 to isolate x.
x = 11/3(5/1)
x = 55/3
Answer:
[tex] \frac{1}{5} x - 3 = \frac{2}{3} \\ \frac{1}{5} x = 3 + \frac{2}{3} \\ \frac{1}{5} x = \frac{11}{3} \\ \boxed{x = \frac{55}{3} }[/tex]
x= 55/3 is the right answer.
Which of the following describes a simple event?
A. Rolling a die and tossing a coin
B. drawing a card from a deck of cards and rolling a die
C. spinning a spinner
D. tossing a coin 3 times
Option D is correct, tossing a coin 3 times is a simple event.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
A simple event is a single outcome or result of an experiment or probability experiment.
In option D, the simple event is tossing a coin once and getting either a heads or a tails.
Since the event is repeated three times, there are a total of 8 possible outcomes (HHH, HHT, HTH, THH, TTH, THT, HTT, TTT).
However, each of these outcomes is made up of three simple events, which are the individual tosses of the coin.
In options A and B, there are multiple events happening, each of which has multiple possible outcomes, so they do not describe a simple event. In option C, there is only one event happening, but there are multiple possible outcomes of that event, so it also does not describe a simple event.
Hence, Option D is correct, tossing a coin 3 times is a simple event.
To learn more on probability click:
https://brainly.com/question/11234923
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Which equation could be represented by the number line?
O A. 3+(-1) = 2
B. -3+4 = 1
C. -1+(-3) = -4
O D. 1 + 3 = 4
Answer:
id say D
Step-by-step explanation:
Think about it. It moves over tree times from the first spot. so D is most reasonable.
2.1-10. suppose there are 3 defective items in a lot (collection) of 50 items. a sample of size 10 is taken at random and without replacement. let x denote the number of defective items in the sample. find the probability that the sample contains (a) exactly one defective item. (b) at most one defective item.
Answer:
a) 0.398 = 39.8% probability that the sample contains exactly one defective item.
b) 0.9021 = 90.21% probability that the sample contains at most one defective item.
Step-by-step explanation:
The itens are chosen without replacement, so we use the hypergeometric distribution to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Suppose there are 3 defective items in a lot (collection) of 50 items
This means that [tex]k = 3, N = 50[/tex]
Sample of 10
This means that [tex]n = 10[/tex]
(a) exactly one defective item.
This is P(X = 1). So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 1) = h(1,50,10,3) = \frac{C_{3,1}*C_{47,9}}{C_{50,10}} = 0.398[/tex]
0.398 = 39.8% probability that the sample contains exactly one defective item.
(b) at most one defective item.
This is:
[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]. So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,50,10,3) = \frac{C_{3,0}*C_{47,10}}{C_{50,10}} = 0.5041[/tex]
[tex]P(X = 1) = h(1,50,10,3) = \frac{C_{3,1}*C_{47,9}}{C_{50,10}} = 0.398[/tex]
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.5041 + 0.398 = 0.9021[/tex]
0.9021 = 90.21% probability that the sample contains at most one defective item.
y=2y+1/5 what does y equal
Answer:
the answer is
y - 2y = 1/5
-y = 1/5
y = -1/5
Answer:
y=-1/5 or y=-0.2
Step-by-step explanation:
y=2y+1/5
-1/5=2y-y
-1/5=y
y=-1/5
You answer,I give brainleist
Answer:
48 centimeters by 27 centimeters
Step-by-step explanation:
we need the ratio of 16:9
option a) 48:27 ( divide by 3 each side) --> 16:9
which is an equation for the line shown?
y=3
x=3
y=-3
x=-3
Answer:
x+-3
Step-by-step explanation:
write the equation of a line that is parallel to x=-5 and that passes through the point (1,4)
Answer:The x-axis is a horizontal line with the equation y = 0. The line parallel to the x-axis through the given point is y = 4, which is another horizontal line which has a slope of 0, which is true of any horizontal line.
If each quadrilateral is a rhombus, find the missing measure. Find M
Answer:
m<HGI= 8.32
Step-by-step explanation:
4x+3=7x-1
3=3x-1
4=3x
1.33=x
______________________
4*1.33+3=8.32
i dont know if this is true so mark me on that
i will get it wrong too if it is wrong.
The measure of angle HGI from the given rhombus is 35°.
What is a rhombus?A rhombus can be defined as a special parallelogram as it fulfills the requirements of a parallelogram, i.e. a quadrilateral with two pairs of parallel sides. In addition to this, a rhombus has all four sides equal just like a square. That is why it is also known as a tilted square. Look at the image below to understand the relationship of rhombus shape with parallelogram and square.
The given quadrilateral FGHI is a rhombus.
In a rhombus, diagonals bisect each other at right angles.
Here, (7x-1)°+(4x+3)°+90°=180°
11x+92=180
11x=88
x=8
Now, 4x+3=35°
So, m∠HGI=35° (Alternate interior angles)
Therefore, the measure of angle HGI is 35°.
Learn more about the rhombus here:
https://brainly.com/question/27870968.
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Please help mee like pretty please
answer
The 3 lb bag of cat food would last for 4 weeks.
Step-by-step explanation:
Find the 43rd term in the sequence: -6, -3, 0,...
Answer: 129
Step-by-step explanation: 43•3=129
do this worksheet if someone do I will make him or her brainly if correct
Answer:
1. 19/100
2. 3/10
3. 80%
4. 85%
5. 3/20
I will give brainiest to whoever answers correctly !!
Answer:
275 days
Step-by-step explanation:
From August 21 to May 23, there is 275 days!
Is 3/2 less than greater than equal than 1
Answer:
greater than
Step-by-step explanation:
2/2 = 1
3/2 = 1 1/2
PLEASEEEEEE HELPPPPPPP
What types of jobs were Deaf people frequently hired for during the wars?
health care
part time
construction
factory
Answer:
Factory
Step-by-step explanation:
Answer:
factory
Step-by-step explanation:
SOLVE FOR X, WILL GIVE BRAINLIEST
The two angles are supplementary angles and when added together equal 180 degrees.
3x -12 + x+2 = 180
Simplify:
4x -10 = 180
Add 10 to both sides
4x = 190
Divide both sides by 4
X = 190/4
X = 47.5
the rate of change of sales tax on trousers is 10% one can buy a pair of trousers at$660. What is the marked price?
Step-by-step explanation:
Total price = Marked price + Sales tax
= Marked price + (0.1 * Marked price)
= 1.1 * Marked price.
Since the total price is $660, the marked price is $660 / 1.1 = $600.