what is the equation of a line whose slope is -2 and whose y-intercept is 4?
Answers
Answer:
y=-2x+4
Step-by-step explanation:
if y is 4..it means x intercept is 0
gradient is -2
and we know gradient is the change in y /change in X
so: we let the second intercepts to be (x,y)
so y-4/x-0=-2
multiply by x-0 both sides then collect like terms together
it will be y= -2x+4
Related Questions
What is the solution to 7x2 –2x ≤ 5?A. x is less than or equal to five sevenths or x ≥ 1B. x is greater than or equal to five sevenths or x < 1C. negative five sevenths is less than or equal to x is less than or equal to 1D. negative 1 is greater than x is greater than five sevenths
Answers
C. negative five-sevenths is less than or equal to x is less than or equal to 1
1) Let's solve this inequality and then consider the options:
\(\begin{gathered} 7x^2-2x\le \:5 \\ \\ 7x^2-2x-5\le \:5-5 \\ \\ 7x^2-2x-5\le\:0\:\:\:Factor\:this: \\ \\ \left(7x^2+5x\right)+\left(-7x-5\right)\leq0 \\ \\ x\left(7x+5\right)-\left(7x+5\right)\leq0 \\ \\ \left(7x+5\right)\left(x-1\right)\leq0 \\ \\ x=-\frac{5}{7}\quad \mathrm{or}\quad \:-\frac{5}{7}Thus, as we can see the only possible answer is C, since that presents the restraints we have found algebraically.How many
Assume that the mean hecaht of soldiers is 166cm
with a standard deration of 8. cm.
soldeers in a regiment of 1000 would you expect to
be over 177 cm tall.
Answers
Answer:
85
Step-by-step explanation:
Given that :
Mean height , μ = 166
Standard deviation, σ = 8
Sample size, n = 1000
Using the Zscore formula :
Zscore = (x - μ) / σ
x = 177
Z = (177 - 166) / 8
Z = 1.375
P(Z > 1.375) = 0.084566(Area to the right of Z)
P(Z > 1.375) * n
0.084566 * 1000 = 84.566 = 85 soldiers
1/3 (9x-10) = 4 I need the answer and how you solve it
Answers
Answer:
X=22/9
Step-by-step explanation:
Multiply both sides by 3
Giving u 9x-10=12
Put x on one side
9x=12+10
9x=22
Divide both sides by 9 :)
A soccer ball travels upward from a height of 11 feet with an initial velocity of 20
feet per second. The quadratic function h (t) = -16t² + 20t+11 models the height
of the ball, where h (t) is the height, in feet, of the soccer ball and t is the time that
ball has been in the air, in seconds. When is the soccer ball above 15 feet?
A. The soccer ball is above 15 feet between 0 seconds and 0.5 second.
B. The soccer ball is above 15 feet between 0.5 second and 1 second.
C. The soccer ball is above 15 feet between 0:25 second and 1
second.
D. The soccer ball is above 15 feet between 0 seconds and 0.25 second.
Answers
The soccer ball is above 15 feet between 0.25 seconds and 1 second.
To determine when the soccer ball is above 15 feet, we need to find the values of t that satisfy the inequality h(t) > 15.
Given the quadratic function h(t) = -16t² + 20t + 11, we can rewrite the inequality as follows:
-16t² + 20t + 11 > 15
Subtracting 15 from both sides:
-16t² + 20t - 4 > 0
Simplifying further:
-16t² + 20t - 4 = -4(4t² - 5t + 1) = -4(t - 1)(4t - 1) > 0
Now, we can solve for t by finding the values that make the inequality true. We have two factors: (t - 1) and (4t - 1).
Setting each factor greater than zero and solving for t:
t - 1 > 0 => t > 1
4t - 1 > 0 => 4t > 1 => t > 1/4
So, we have t > 1 and t > 1/4. To satisfy both conditions, t must be greater than the maximum of 1 and 1/4, which is 1.
Therefore, the soccer ball is above 15 feet for t > 1 second.
The correct answer is:
C. The soccer ball is above 15 feet between 0.25 seconds and 1 second.
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¿Qué es y cómo se forman un enlace químico?
Answers
Which figure has four sides that are the same length
Answers
a passenger train can travel 245 miles in the same amount of time it takes a freight train to travel 200 miles. If the raye of the passenger train is 15 MPH faster than the rate of the frieght train find the rate of each
Set up a table and solve using an algebraic equation.
Answers
Answer:
Step-by-step explanation:
Let x represent the rate of the freight train. If the rate of the passenger train is 15 MPH faster than the rate of the frieght train, it means that the rate of the passenger train is x + 15
Time = distance/speed
Time that it will take a passenger train to travel 245 miles is
245/(x + 15)
Time that it will take a fright train to travel 200 miles is
200/x
Since both times are the same, it means that
245/(x + 15) = 200/x
Cross multiplying, it becomes
245x = 200(x + 15)
245x = 200x + 3000
245x - 200x = 3000
45x = 3000
x = 3000/45 = 66.67 mph
Rate of freight train is 66.67 mph
Rate of passenger train is 66.67 + 15 = 81.67 mph
jackie and phil have two fair coins and a third coin that comes up heads with probability 4/7 . jackie flips the three coins, and then phil flips the three coins. let m/n be the probability that jackie gets the same number of heads as phil, where m and n are relatively prime positive integers. find m +n
Answers
Here m/n be the probability of 123/392, where m is 123 and n is 392, so the m+n is 515
Here considering xⁿ to be the flipping heads of n numbers , so the generating functions for these coins are (1+x)(1+x)(3+4x) order, so the product those orders we get ,
(1+x)*(1+x)*(3+4x)= 4x^3+11^2+10x+3 ,here axⁿ means the n number of ways to get n number of head .Now the square of the sum of the coefficient is (4+11+10+3)²= 28^2 =784, and the sum of the square of each coefficient is(4²+11²+10²+3²)= 246.The probability will be: 246/784=123/392 =123+392 = 515
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which equation is correct
Answers
HELPPPPP!!!! 60 POINTSSS!!!!!!!!!
Calculate the correlation coefficient for the following data, showing all work. What does it tell you about the data?
Answers
The correlation coefficient for the data is given as follows:
r = 0.53.
Hence there is an association between the variables that is positive and not strong.
What is the correlation coefficient and how to obtain it?The correlation coefficient is an index between -1 and 1 that measures the relationship between two variables, as follows:
negative: inverse relationship.positive: direct relationship.absolute value greater than 0.6: strong relationship.The correlation coefficient is obtained inserting the points of a data-set into a correlation coefficient calculator.
From the table given at the end of the answer, the points are given as follows:
(43, 99), (21,65), (25, 79), (42, 75), (57, 87), (59, 81).
Inserting these points into a calculator, the equation is given as follows:
r = 0.53.
Meaning that the relationship between the variables is positive and not strong.
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Graph your salary and
Answers
A graph of the exponential function \(f(n)=37000(1.06)^n\) is shown in the image attached below.
How to write and graph an exponential function?In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:
\(f(x)=a(b)^x\)
Where:
a represents the initial value or y-intercept.x represents x-variable.b represents the rate of change or common ratio.Based on the information provided above, your salary can be modeled or represented by the following exponential function;
\(f(n)=37000(1.06)^n\)
Lastly, we would use an online graphing calculator to plot the given exponential function as shown in the graph attached below.
In conclusion, the rate of change of this exponential function is equal to 1.06.
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Pls help extra points and mark brainlist
Answers
Answer:
I'm positive its 8
i hope it helps!
The function fff is given in three equivalent forms. Which form most quickly reveals the zeros (or "roots") of the function? Choose 1 answer: Choose 1 answer: (Choice A) A f(x)=-3(x-2)^2+27f(x)=−3(x−2) 2 +27f, (, x, ), equals, minus, 3, (, x, minus, 2, ), squared, plus, 27 (Choice B) B f(x)=-3(x+1)(x-5)f(x)=−3(x+1)(x−5)f, (, x, ), equals, minus, 3, (, x, plus, 1, ), (, x, minus, 5, )(Choice C) C f(x)=-3x^2+12x+15f(x)=−3x 2 +12x+15f, (, x, ), equals, minus, 3, x, squared, plus, 12, x, plus, 15 Write one of the zeros. xxx =
Answers
Answer:
(B) \(f(x)=-3(x+1)(x-5)\)
x=5
Step-by-step explanation:
Given the three equivalent forms of f(x):
\(f(x)=-3(x-2)^2+27\\f(x)=-3(x+1)(x-5)\\f(x)=-3x^2+12x+15\)
The form which most quickly reveals the zeros (or "roots") of f(x) is
(B) \(f(x)=-3(x+1)(x-5)\)
This is as a result of the fact that on equating to zero, the roots becomes immediately evident.
\(f(x)=-3(x+1)(x-5)=0\\-3\neq 0\\Therefore:\\x+1=0$ or x-5=0\\The zeros are x=-1 or x=5\)
Therefore, one of the zeros, x=5
Answer:
i dont think the one above is correct. here is the correct answer
Step-by-step explanation:
What’s the circumference of a circle with radius of 10 inches? Use 3.14 for pie
Answers
You do 2pi x the radius (10) to get the circumference of a circle
Kyla climbed to a height of 10 ft from the bottom of a rock climbing wall. She then climbed up an additional 5 ft. Kyla must climb down how many feet to return to the bottom of the climbing wall?
Answers
Answer:
15 ft
Step-by-step explanation:
10 + 5 = 15 ft
Use the F-scale measurements of tornadoes listed in the accompanying table. The range of the data is 4.0. Use the range rule of thumb to estimate the value of the standard deviation. Compare the result to the actual standard deviation of the data, 1.0.
3
2
3
2
1
1
0
1
2
3
1
1
1
2
2
2
2
0
1
2
1
0
0
1
0
0
2
0
2
2
1
0
0
0
1
0
1
2
3
2
0
2
2
0
0
0
1
0
0
0
0
0
1
0
0
1
1
0
0
1
0
0
2
0
0
0
0
0
1
2
4
0
1
0
0
0
0
2
2
0
1
1
1
2
1
0
0
2
0
2
0
2
2
2
0
0
4
0
Compare the result to the actual standard deviation.
The estimated standard deviation is________(within 0.5 of, over 0.5 less than, over 0.5 greater than) the actual standard deviation. Thus, the estimated standard deviation_________(is, is not) substantially different from the actual standard deviation.
Answers
Answer:
Within 0.5 of ;
is not ;
Step-by-step explanation:
Given the data:
The actual standard deviation, = 1
;
The range rule of thumb to estimate the value if standard deviation is ;
Estimated standard deviation = Range / 4
The range = (maximum - minimum) values
The estimated standard deviation = 4 / 4 = 1
Hence, the estimated standard deviation is with 0.5 of the actual standard deviation, Thus, the estimated standard deviation is not substantially different from the actual standard deviation.
Jamie and Hanna are 288 miles apart, traveling towards each other. If Hanna travels 22 mph and Jamie travels 14 mph how long until they meet?
Answers
Answer:
It will take them 8 hours to meet
Step-by-step explanation:
If Hanna travels 22 mph towards Jamie and Jamie travels 14 mph towards Hanna that means that the speed with which the close up equals...
22 + 14 = 36 mph
Now divide the distance between them by the speed with which they get closer to each other, and get...
288 miles / 36 mph = 8h
6÷2+3×100000000000000000000000000000000000000000
Answers
Answer:
3E41
Step-by-step explanation:
hope it helps
Answer:
3e+40
Step-by-step explanation:
pls give me brainliest
Which ordered pair is not a solution set of
4x + 2y > -10
(-6,0)
(-5,7)
(8, -3)
(4,3)
Answers
Answer:
(-6,0) is not a solution
What is the best description of originality?
nonobvious
special or interesting
convergent
having a low probability, unique
Answers
Originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.
Originality refers to the quality of being unique, new, and innovative. It involves creating something that has not been seen or experienced before. The best description of originality is that it is having a low probability and being unique.
An original idea, product, or work of art is something that has not been copied or imitated from others. It represents a new perspective or approach that can offer a fresh insight into a problem or challenge. Originality requires a high level of creativity, imagination, and inspiration, as well as a willingness to take risks and explore new possibilities.
Nonobviousness is also an important factor in originality. It means that the idea or invention is not something that would be obvious to someone skilled in the same field or industry. In other words, an original idea should not be something that could be easily predicted or anticipated.
Special or interesting are also characteristics of originality, but they are not sufficient to define it. An idea or product can be special or interesting without being truly original. For example, a new flavor of ice cream may be interesting, but it may not be original if it has already been created by someone else.
Convergent thinking, on the other hand, involves finding a single solution to a problem. It is the opposite of divergent thinking, which involves generating multiple ideas and possibilities. Convergent thinking is important for finding effective solutions to problems, but it is not the same as originality.
In conclusion, originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.
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PLEASE HELP ASAP!! WILL GIVE BRAINLIEST
A regular polygon has 12 sides. If one of its angles measures (8h − 30)°, what is the value of h?
h = 10.75
h = 18.75
h = 20.25
h = 22.5
Answers
Answer: h = 22.5
Step-by-step explanation:
Total angle area of a 12 sided polygon is 1800
1. One angle would be 1800/12= 150
8h - 30 = 1502. Add 30 one each side to cancel out and only leave 8h.
8h = 1803. To get rid of the 8 we divide the the other side by 8.
h = 22.5The answer is 22.5
Answer: D 22.5 i got it right on the exam
Step-by-step explanation:
A pet store has 10 puppies, including 3 poodles, 4 terriers, and 3 retrievers. If Rebecka selects one puppy at random, the pet store replaces the puppy with
a puppy of the same breed, then Aaron chooses a puppy at random. Find the probability that they both select a poodle.
The probability is
(Type an integer or decimal rounded to three decimal places as needed.)
Answers
The probability that Rebecka and Aaron both select a poodle is 0.09 or 9/100.
We have,
There are 3 poodles out of 10 puppies, so the probability that Rebecka selects a poodle is 3/10.
After Rebecka selects a poodle and it is replaced with another poodle, there are still 3 poodles out of 10 puppies.
This means,
The probability that Aaron selects a poodle, given that Rebecka selected a poodle, is also 3/10.
Now,
P(both select a poodle) = P(Rebecka selects a poodle) × P(Aaron selects a poodle | Rebecka selected a poodle)
= (3/10) × (3/10)
= 9/100
= 0.09
Therefore,
The probability that Rebecka and Aaron both select a poodle is 0.09 or 9/100.
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Absolute vale of x+2 if x is less than 2
Answers
Answer: The expression for the absolute value of x+2 when x is less than 2 is -(x+2).
Step-by-step explanation: When x is less than 2, x+2 is a negative number. The absolute value of a negative number is its opposite with the negative sign, so the absolute value of x+2 is -(x+2). Therefore, when x is less than 2, the expression for the absolute value of x+2 is -(x+2).
Are the following figures similar?
Trapezoids ABCD and EFGH are shown. Angle A equals 137 degrees, Angle B equals 90 degrees, Angle C equals 90 degrees, Angle D equals 43 degrees, Angle E equals 136 degrees, Angle F equals 90 degrees, Angle G equals 90 degrees, Angle H equals 44 degrees.
Answers
No, the trapezoids are not similar because their corresponding angles do not have the same measures.
The given trapezoids ABCD and EFGH can be analyzed to determine if they are similar. Similarity in geometric figures implies that their corresponding angles are congruent, and their corresponding sides are proportional.
Let's examine the angles of the trapezoids:
In trapezoid ABCD:
Angle A = 137 degrees
Angle B = 90 degrees
Angle C = 90 degrees
Angle D = 43 degrees
In trapezoid EFGH:
Angle E = 136 degrees
Angle F = 90 degrees
Angle G = 90 degrees
Angle H = 44 degrees
By comparing the angles, we can observe that angles B and F are both right angles (90 degrees) in both trapezoids. Additionally, angles C and G are also right angles (90 degrees) in both trapezoids.
However, angles A and E, as well as angles D and H, do not have the same measures. Angle A measures 137 degrees in trapezoid ABCD, while angle E measures 136 degrees in trapezoid EFGH. Similarly, angle D measures 43 degrees in trapezoid ABCD, while angle H measures 44 degrees in trapezoid EFGH.
Since the corresponding angles in the two trapezoids do not have the same measures, we can conclude that trapezoids ABCD and EFGH are not similar.
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Need help with this question. PLS helpppppp
Answers
Answer:
x = 0.39 or
x = -1.72
Step-by-step explanation:
The quadrateic formula is:
\(x = \frac{-b\pm\sqrt{b^2 - 4ac} }{2a}\)
eq: 3x² + 4x - 2
which is of the form ax² + bx + c = 0
where a = 3, b = 4 and c = -2
sub in quadratic formuls,
\(x = \frac{-4\pm\sqrt{4^2 - 4(3)(-2)} }{2(3)}\\\\=\frac{-4\pm\sqrt{16 + 24} }{6}\\\\=\frac{-4\pm\sqrt{40} }{6}\\\\=\frac{-4\pm2\sqrt{10} }{6}\\\\=\frac{-2\pm\sqrt{10} }{3}\\\\=\frac{-2+\sqrt{10} }{3} \;or\;=\frac{-2-\sqrt{10} }{3}\\\\=0.39 \;or\; -1.72\)
- Draw A' the symmetric of A with respect to point O
- Draw A' the symmetric of A with respect to (d)
Answers
Answer:
how am i supposed to answer this? draw a line lol
Step-by-step explanation:
The graph represents a relation where x represents the independent variable and y represents the dependent variable. a graph with points plotted at negative 5 comma 1, at negative 2 comma 0, at negative 1 comma 3, at negative 1 comma negative 2, at 0 comma 2, and at 5 comma 1 Is the relation a function? Explain. No, because for each input there is not exactly one output. No, because for each output there is not exactly one input. Yes, because for each input there is exactly one output. Yes, because for each output there is exactly one input.
Answers
No, the relation is not a function, because for each input there is not exactly one output.
What is graph?A graph is a visual representation of data that shows the relationship between variables or sets of data. It consists of a set of points, called vertices or nodes, which are connected by lines or curves, called edges or arcs. Graphs are commonly used to display numerical information, such as trends, patterns, or relationships, and can be used to analyze and interpret data.
The relation is not a function because for the input x = -1, there are two different output values, y = 3 and y = -2. A function is a relation where each input has exactly one output, but in this case, the input -1 has two different outputs, violating the definition of a function.
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at lunch four friends drink 8 pints of milk. How many fluid ounces is this equal to? 1) 128 FL oz 2)64 FL oz 3)32oz 4) 16 FL oz
Answers
at lunch four friends drink 8 pints of milk. how many fluid ounces is this equal to?
128 FL
Answer:
The answer is choice #1 or 128 Fluid ounces
Step-by-step explanation:
8 pints = 128 oz
The graph shows the savings in Andre's bank account.
Explain what the vertical intercept represents in this situation.
Answers
Answer:
The y-intercept represents the initial (opening) amount in Andre's bank account: $40
Step-by-step explanation:
The y-intercept represents the initial (opening) amount in Andre's bank account: $40
Answer:
The initial amount
Step-by-step explanation:
Let's find equation of line
(0,40)(4,60)Slope
\(\\ \tt\hookrightarrow m=60-40/4=5\)
Equation in point slope form
\(\\ \tt\hookrightarrow y-40=5(x)\)
\(\\ \tt\hookrightarrow y=5x+40\)
a water snake in a well is 30 M below the ground level its lights 20 m upward and then slips down 10 M how far it is from the ground level
\( - 30 - + 20 - - 10\)
Answers
If the water snake is initially 30 meters below the ground level and then climbs 20 meters upward, it will be 30 - 20 = 10 meters below the ground level. However, if it then slips down 10 meters, it will be 10 + 10 = 20 meters below the ground level.