Answers
Answer:
Please find below. Fill in the table with the values of y given below.
Step-by-step explanation:
For question 5, you should substitute the different values of x into the equation y =x^2 +4
So, when
x = -3, y = (-3)^2 +4 = 9+4 = 13
x = -2, y = (-2)^2 +4 = 4+4 = 8
x = -1, y = (-1)^2 + 4 = 1+4 = 5
x = 0, y = 0^2 + 4 = 4
x = 1, y = 1^2 +4 = 1+4 = 5
x = 2, y = 2^2 +4 = 8
x = 3, y = 3^2 + 4 = 13
x = 4, y = 4^2 + 4 = 20
For question 6, you need to find the nth term or a formula of y in terms of x.
For this, find the common difference between each of the consecutive values of y.
This is 5
So, the start if our equation is going to be ‘y = 5x’
Now, to find the ‘+c’ part, can be calculated by substituting the value of y when x = 1 into the y = 5x
So,
y = 5x + c
13 = 5 + c
Rearrange the find that c = 8
Therefore, the nth term formula = 5x + 8
Hope this helps
Related Questions
Isabel has ridden 16 miles of a bike course. The course is 80 miles long. What percentage of the course has Isabel ridden so far?
Answers
Answer:
20%
Step-by-step explanation:
Divide 16 by 80 and you get 0.2 as an answer and to get a percent you move the decimal 2 places to the right to fet 20%
Isabel has completed 20 percent of the race of 80 miles.
What is the percentage?A percentage is a quantity or ratio that, in mathematics, represents a portion of one hundred. It is one method for illustrating a relationship between two integers that has no dimensions.
Given, Isabel has ridden 16 miles of a bike course. The course is 80 miles long. From the general formula of percentage:
For the percentage, we have to divide the value by the total value and then multiply the result by 100.
percentage of the course has Isabel ridden so far = (16/80) * 100
percentage of the course has Isabel ridden so far = 1/5*100
percentage of the course has Isabel ridden so far = 20%
Therefore, Isabel has ridden 20 percent of the course which is 80 miles.
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Umm ... NO FILES/LINKS !!!
Answers
You can set up a proportion where
2/9 = ?/42
Cross multiply so 42 x 2 = 84
Then divide so 84/9 = your answer
Answer:
189.
Step-by-step explanation:
I divided 42 by 2 and got 21..
Then, I multiplied 21 by 9 and got 189!
Vicky cut a string into 4 equal pieces. She started with a string that was 5.4 inches long. How many inches long was each piece that Vicky cut?
Answers
Answer: 1.35 inches
hope this helps
Rachel ran 3 miles when she was training for a race. How many feet did she run?
Answers
Answer:
15,840 i did this in test and got 100%
Step-by-step explanation:
The total feet ran by Rachel is given by the equation A = 15,840 feet
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the total miles ran by Rachel be A = 3 miles
Now , the value of 1 mile = 5,280 feet
Substituting the values in the equation , we get
The distance of 3 miles in feet = 3 x value of 1 mile
On simplifying the equation , we get
The distance of 3 miles in feet = 3 x 5,280
The distance of 3 miles in feet = 15,840 feet
Therefore , the distance ran by Rachel A = 15,840 feet
Hence , the equation is A = 15,840 feet
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A(n) __value is any 2-value of a function that makes the y-value undefined.
1. excluded
2. discontinuous
3. quadratic
4. rational
Answers
Answer:
rational
Step-by-step explanation:
its so because they fit equaly
a recipe uses 10 cups of flour. you can only measure using 2/3 cups.
How many 2/3 cups are needed for the recipe?
Answers
Ok so I am not exactly sure if you want to know how many whole cups can be added or simply how many 2/3 cups make up 10, but heres what I found.
So to find how many 2/3 is in 10 cups you simply have to divide
10/(2/3) = 15
So 10 cups of flour is 15 (2/3) cups of flour.
Hope this helps :)
help i don't understand this!!
Answers
Answer:
30 cm
Step-by-step explanation:
If it is 78°F in Memphis and -14°F
in Junaeu, what is the temperature
difference between the two cities?
Answers
Answer:
There is a 92°F difference between the two cities.
Step-by-step explanation:
Since you are finding the difference of temperatures between the two cities, you need to subtract -14 from 78. It looks like 78-(-14). Since you are subtracting a negative number, the equation becomes 78+14. 78+14 is 92.
Find the value of y,
96
66
Answers
Answer:
the answer is y=48
Step-by-step explanation:
you divide the arc by 2 if it's an inscribed angle
Answer: 48
Step-by-step explanation: 96/2
3/4 ft= blank inches
Answers
3/4 feet = inches
rewrite 4 x 4 x 4 x 4 As a exponent
rewrite A x A x A as an exponent
Answers
Answer:
Step-by-step explanation:
[tex]4^4\\A^3[/tex]
Answer:
[tex]4^{4}[/tex] and [tex]A^{3}[/tex]
Step-by-step explanation:
What is the answer help plz
Answers
Answer:
2. 77.9
Step-by-step explanation:
I think its that i looked up the formula sorry if im wrong
Select one or more expressions that together represent all solutions to the equation your answer should be in radians sin(x) = -.25
Answers
Answer:
-0.25268 rad + 2πn , 3.394273 rad + 2πn
≈ - π /12 + 2πn, π + 2πn
Step-by-step explanation:
sin( x ) = -0.25
x = sin^-1 ( -25 )
The solutions of the equation sin( x ) = -0.25 are :
X = -0.25268rad + 2πn , 3.394273rad + 2πn
≈ - π /12 + 2πn, π + 2πn
Write the decimal as a fraction or mixed number in lowest terms.
1.01 plz no links
Answers
Answer:
1/100
Step-by-step explanation:
Hope it helps
Please brainliest
Calculate the discriminant f(x)=x2-4x+7
Answers
Answer:
Option 1,3,4,6 are correct
Explanation
Step-by-step explanation:
we have formula for discriminant that is D=b^{2} -4acD=b
2
−4ac
when D>0 the roots are real and unequal
when D= 0 roots are real and equal
and when D< 0 roots are imaginary or not real and unequal
In 1st equation: x^2+6x+8x
2
+6x+8
a=1,b=6,c=8 on substituting the values in the formula we will get
D=6^2-4(1)(8)=4 > 0D=6
2
−4(1)(8)=4>0 hence real and unequal roots.
In 2nd equation:x^2+4x+8x
2
+4x+8
a=1,b=4,c=8 on substituting values in formula
D=4^2-4(1)(8)=-16 < 0D=4
2
−4(1)(8)=−16<0 so roots are not real
In 3rd equation x^2-12x+3x
2
−12x+3
a=1,b=-12,c=3 on substituting values
D=D=(-12)^2-4(1)(3)=132 > 0D=(−12)
2
−4(1)(3)=132>0 roots are real and unequal
In 4th equation: x^2+4x-1x
2
+4x−1
a=1,b=4,c=-1 on substituting the values
D= 4^2-4(1)(-1)=20 > 0D=4
2
−4(1)(−1)=20>0 real roots
In 5th equation:5x^2+5x+45x
2
+5x+4
a=5,b=5,c=4 on substituting the values
D=5^2-4(5)(4)=-55 < 0D=5
2
−4(5)(4)=−55<0 roots are not real
In 6th Equation: x^2-2x-15x
2
−2x−15
a=1,b=-2,c=-15 on substituting the values
D=(-2)^2-4(1)(-15)=64 > 0D=(−2)
2
−4(1)(−15)=64>0 roots are real
Identify the image of ∆XYZ for a composition of a 300° rotation and a 60° rotation, both about point Y.
HElppppppp 10 mins left
Answers
Answer:
First Image is the orginal image of ∆XYZ, and the second is the composition of a 300° rotation and a 60° rotation (360°)
The image of ∆XYZ for a composition of a 300° rotation and a 60° rotation, both about point Y is 360°
What is trigonometry?Trigonometric ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.
various ratios are:-
sin=perpendicular/hypoteneusecos=base/hypotenusetan=perpendicular/base (tan30°)=5/bcot=base/perpendicularsec=hypotenuse/basecosec= hypotenuse/perpendicularThe ratios of sides of a right-angled triangle with respect to any of its acute angles are known as trigonometric.
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PLEASE HELP!!
What is the volume of this rectangular
prism?
A. 40 2/9 in.
B. 46 2/9 in.
C. 56 8/9 in
D. 92 4/9in.
Answers
Answer:
A. 40 2/9
Step-by-step explanation:
If I first multiply the whole numbers, so 2 x 5 x 4 that would equal 40. Next you can multiply the fractions, so 2/3 x 1/3 that equals 2/9. So the answer is 40 2/9
Find the values of x
and y that make these triangles congruent by the HL Theorem.
X = 2, Y = 1
X = 3, y = 2
X=1, y = 2
X = 2, y = 3
Answers
9514 1404 393
Answer:
(b) x = 3, y = 2
Step-by-step explanation:
In order for the triangles to be congruent by the HL theorem, the hypotenuses must be congruent:
3y = x+3
and the corresponding legs must be congruent:
y +1 = x
__
We can solve this set of equations by substituting for x:
3y = (y +1) +3
2y = 4 . . . . . . . .subtract y
y = 2 . . . . . . . . .divide by 2
2+1 = x = 3 . . . substitute for y in the equation for x
The solution is (x, y) = (3, 2).
Identify slope (m) and y-intercept (b): 4y - 3x = 4*
1. m = 4/3 b = 4
2. m = 3/4 b = 1
3. m=-3 b = 4
4. m = 3/4 b = 4
Answers
Answer:
2.
Step-by-step explanation:
y = 3/4x +1
m = 3/4 b = 1
hope this helps
what is -2.4x + 9 + 8x + 4.2 = 58
Answers
Answer:
X=8
Step-by-step explanation:
Three of the flowers in the bouquet are lilies. There are a dozen flowers total. What percent of the flowers were lilies?
Answers
Answer:
25%
Step-by-step explanation:
A sphere and a right cylinder have the same radius and volume. The cylinder has a height of 6 centimeters. Find the radius.
cm
Answers
Answer:
I think 4.5 cm.
Step-by-step explanation:
Hope that may be right.
What is the median for the data set below?
Answers
to which sets of numbers dose-1/4 belong. select each correct answer.
A. rational numbers
B. irrational numbers
C. real numbers
D. integers
Answers
Answer:
Rational.
Step-by-step explanation:
Natural numbers are numbers 1 through infinite.
Whole numbers are numbers 0 through infinite.
Integers are negative numbers (No decimals nor fractions)
Rational numbers are fraction/decimal numbers (can be negative).
Irrational numbers are squared numbers.
Real numbers includes all of the above mentioned.
Hope this helps.
Answer:
A. rational numbers
Step-by-step explanation:
-1/4 belongs to rational number
How many litres will be needed if 250 ml
Answers
Answer:
0.25 liter
Step-by-step explanation:
Element X is a radioactive isotope such that every 28 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 50 grams, how much of
the element would remain after 11 years, to the nearest whole number? I will give brainly for it
Answers
Answer:
38
Step-by-step explanation:
In a school with 2,000 students, 250 are athletes. Of those athletes, 120 lift weights in addition to participating in their primary sport. Thirty-seven athletes lift weights as their primary sport. The newspaper wants to select five athletes at random from the school to interview. What is the population size?
A.) 37
B.) 120
C.) 250
D.) 2,000
Answers
Answer:
c
Step-by-step explanation:
Two tanks are being filled. Tank 1 is being filled at a rate of 3/4 gallon per 2/3minute
Tank 2 is filling at a rate of 5/8gallon per 1/2minute. Which tank is filling faster?
Answers
Answer:
Tank 2 filling faster
Step-by-step explanation:
Tank 1 filling at 1 1/8 gallons per minute (3/4 ÷ 2/3)
Tank 2 filling at 1 1/4 gallons per minute (5/8 ÷ 1/2)
There is a bag filled with 5 blue and 6 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 of the same colour?
Answers
Pi approx A cylinder has a height of 20 yards and a diameter of 18 yards . What is its volume ? Use 3.14 and round your answer to the nearest hundredth .
Answers
Answer:
5086.8 cubic yards
Step-by-step explanation:
Given data
Height = 20yards
Diamter= 18 yards
Radius= 9 yards
The expression for the volume of a cylinder is given as
V=πr^2h
substitute
V=3.14*9^2*20
V=3.14*81*20
V=5086.8 cubic yards
