Answer:
1 + 1 equals 2.
Step-by-step explanation:
When you take one of something, and you add it to another 1 of something, then you get 2 of something.
What single percentage change is equivalent to a 13% decrease followed by a 19% decrease?
A number of squares are connected in a row to form a rectangle. The table shows the relationship between the number of squares, x, and the
perimeter, y, of the rectangles they form
Select all the true statements about this relation.
Answer:
✅The table can be represented by the equation, [tex] y = 4x + 4 [/tex]
✅The relation is a function.
✅The graph of the function is linear.
Step-by-step explanation:
✍️The first statement: The table can be represented by the equation, [tex] y = 4x + 4 [/tex].
To check if the first statement is correct let's find the equation that can represent the table by finding the slope (m) and y-intercept (b).
Using two pairs, (1, 8) and (2, 12),
Slope = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 8}{2 - 1} = \frac{4}{1} = 4 [/tex].
Substitute, x = 1, y = 8, and m = 4 into y = mx + b to solve for b.
Thus:
8 = (4)(1) + b
8 = 4 + b
Subtract 4 from each side
8 - 4 = b
4 = b
Plug in the values of b and m into y = mx + b.
Thus, the equation that represents the table would be:
[tex] y = 4x + 4 [/tex].
✅Therefore, the first statement is correct.
✍️The second statement: The graph of the function is non-linear.
This is NOT TRUE because the equation of the function, [tex] y = 4x + 4 [/tex], represents the equation of a linear graph in the slope-intercept form. When graphed, it will give us a straight line.
✍️The Third statement: The relation is a function.
This is TRUE because each input value (x-value) has exactly one output value (y-value).
✍️The Fourth statement: The rate of change is NOT constant.
This standby is NOT TRUE.
The rate of change is the slope (m) that we have calculated above to be 4. Between any two pairs, the rate of change remains 4.
Therefore, this statement is not correct.
✍️The Fifth statement: The graph of the function is linear.
This is TRUE. As stated earlier, from the equation generated, it is safe to say that the equation represents graph of a linear function. The graph will be a straight line graph.
The true statements are:
(a) The equation of the function is [tex]\mathbf{y = 4x +4}[/tex](c) The relation is a function(e) The graph is linear(a) The equation of the function
Start by calculating the slope (m)
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 -x_1}}[/tex]
So, we have:
[tex]\mathbf{m = \frac{12 - 8}{2 -1}}[/tex]
[tex]\mathbf{m = 4}[/tex]
The equation is then calculated as:
[tex]\mathbf{y = m(x -x_1) + y_1}[/tex]
So, we have:
[tex]\mathbf{y = 4(x -1) + 8}[/tex]
[tex]\mathbf{y = 4x -4 + 8}[/tex]
[tex]\mathbf{y = 4x +4}[/tex]
Hence, this statement is true
(b) The graph is nonlinear
Because of (a) above, the graph is linear
Hence, this statement is false
(c) The relation is a function
A linear relation is a function
Hence, this statement is true
(d) The rate of change is not constant
Because of (a) above, the rate of change is constant
Hence, this statement is false
(e) The graph is linear
Because of (a) above, the graph is linear
Hence, this statement is true
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Ryan has three consecutive scores for math. The sum of these scores is
264. Find his three math scores.
Answer:
88(%)
Step-by-step explanation:
So! We know Ryan has 3 consecutive scores or 3 of the same scores in a row, so we are going to divide 264 by 3!
264 ÷ 3 = 88
So, Ryan got an 88% 3 times!
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Write a linear function f with the given values. f(0) = -2,f(4) = -3
А
f(x) = {x+5
B f(x) = x
c f(x) = x-5
D f(x) = 2x - 5
Answer:
f(x) = [tex]-\frac{1}{4}[/tex] x - 2
Step-by-step explanation:
Slope of the line: m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )
f(x) = mx + b (b - is y-intercept)
(0, - 2) Coordinates of y-intercept
(4, - 3)
m = [tex]\frac{-3+2}{4-0}[/tex] = [tex]-\frac{1}{4}[/tex]
f(x) = [tex]-\frac{1}{4}[/tex] x - 2
Which would you simplify in order to evaluate the expression when the value of the variable is 2?
8.9/2
8.9 + 2
8.9(2)
(8.92)
Answer:
C. 8.9(2)Happy to help!
Answer:
C
Step-by-step explanation:
I am having problem in these:-
1)There are two cylinders - cylinder A and cylinder B. Both the cylinders have equal volume,
Cylinder A has a nadius of 3 m and height 7 m. Cylinder B has a height of 21 m. Calculate the radius of Cylinder B, in
om (Take =22/7)
2)A rectangular tank has dimension 12 cm by 18 cm by 20cm. There is a solid cylindrical tube in the tank that has a
volume of 320 cm"3. How much water can the tank hold?
Answer:
1) The cone's volume is 1/3 the volume of the cylinder with the same base.
Step-by-step explanation:
i dont know number 2 even though this is 5th grade math lol
The zeros of a quadratic function are 1 and 7. To which factored quadratic expression is this function related?
The factored quadratic expression is this function related is to be considered as the (x - 1) and (x-7).
Calculation of the factored quadratic expression:Since The zeros of a quadratic function are 1 and 7.
So,
if we do
(x - 1) = 0
x = 1
And,
(x- 7) = 0
x = 7
Based on this, we can say that The factored quadratic expression is this function related is to be considered as the (x - 1) and (x-7).
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Follow these steps to construct a triangle to represent the given information:
Draw a ray in the direction S 20° E from point P. Create a circle with radius 43.5. (Note that you'll be scaling down all the distances in miles by a factor of 10: 435 ÷ 10 = 43.5.) Label the point where the circle intersects the ray as C (Cali).
Draw a ray in the direction S 81° E from P. Mark an arbitrary point on this ray, and label it S.
Create a line through point S that is parallel to the north-south line through P.
Using the line passing through point S, draw a ray that is S 53° W.
Move point S along line PS until the ray S 53° W from S passes through point C. This position of S locates San Cristobal.
Paste a screenshot of your construction in the space below.
Answer:
i have to write something here so reading this is a waste of time.
A triangle can be constructed by different means such as:
A, B, C - angles or vertices.a, b, c - sides opposite to A,B,C, respectively, or their lengths.ha, hb, hc - altitudes (or sometimes heights) to the sides a,b,c.What is a Triangle?This refers to the plane figure that has three sides and angles.
Hence, we can see that in order to construct a triangle, they can be done by different means and the construction cannot be done for you, but the other means can include:
ma, mb, mc - medians to the sides a,b,c.la, lb, lc - bisectors of the angles A, B, C.Read more about triangles here:
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Please help!!!!! Urgent!!!!!
g(x) = 32
X + 5
Given:
g(4)
Answer:
g(4)=7
Step-by-step explanation:
1/2(4) = 2
2+5 = 7
g(4)=7
The first three terms of the binomial expansion of (2 – ax)" are 64 – 16bx +100bx?.
Find the value of each of the integers n, a and b.
Ans: n=6, a=5, b=60
Answer:
n = 6, a = 5, b = 60
Step-by-step explanation:
In a binomial function (a + b)ⁿ expression that represents the terms,
(a + b)ⁿ = [tex]\sum_{k=0}^{n}\binom{n}{k}a^{n-k}b^k[/tex]
By this formula,
1st term = [tex]\binom{n}{0}a^{n-0}b^0[/tex] = aⁿ
2nd term = [tex]\binom{n}{1}a^{n-1}b^1[/tex] = [tex]n.a^{n-1}b^1[/tex]
3rd term = [tex]\binom{n}{2}a^{n-2}b^2[/tex] = [tex]\frac{n(n-1)}{2}.a^{n-2}.b^2[/tex]
For the binomial expansion initial 3 terms of (2 - ax)ⁿ = 64 - 16bx + 100bx²
Terms of (2 - ax)ⁿ = [tex]2^n+n(2)^{n-1}(-ax)+\frac{n(n-1)}{2}(2)^{n-2}(-ax)^2[/tex]
= [tex]2^n-n(2)^{n-1}(ax)+n(n-1)(2)^{n-3}(a^2x^2)[/tex]
Comparing the terms of both the expansions,
1st term
2ⁿ = 64
2ⁿ = 2⁶
n = 6
2d term
[tex]n(2)^{n-1}(ax)=16bx[/tex]
[tex]6(2)^{6-1}(a)=16b[/tex]
192a = 16b
b = 12a -----(1)
3rd term
[tex]n(n-1)2^{n-3}(a^2x^2)=100bx^2[/tex]
[tex]6(6-1)2^{(6-3)}(a^2)=100b[/tex]
[tex]30(2)^3(a^2)=100b[/tex]
240a² = 100b
b = 2.4a² -----(2)
From equation (1) and (2),
b = 12a = 2.4a²
a = [tex]\frac{12}{2.4}=5[/tex]
From equation (1)
b = 12a = 60
Therefore, n = 6, a = 5, b = 60
10(y-8)=8 what is y please help
Answer:
okay i dont have a answer but use Math-way its awsome! just type the queation it will give u a answer!
Answer:
44/5 or 8.8 or 880%
–13x − 15y = –18
to slope intercept form
Answer:
y= - 13/15x + 6/5
Step-by-step explanation:
explain how to get the slope equation for (1,2) and (3,8)
Answer:
8-2/3-1
Step-by-step explanation:
slope equation is y2-y1 over x2-x1 so in that case you would put on top the 8-2 and then for the bottom you would put the 3-1
determine triangle type?
Answer:
scalene obtuse
Step-by-step explanation:
all sides are different and it has an angle 90 or greater
Answer:
Scalene obtuse I guess?
please i need this answer
What is the range of the quadratic function graphed below?
Answer:
x
Step-by-step explanation:
he domain of a quadratic function in standard form is always all real numbers, meaning you can substitute any real number for x. The range of a function is the set of all real values of y that you can get by plugging real numbers into x.
Answer:
The range is y [tex]\geq 1[/tex].
Step-by-step explanation:
The graph is shifted up 1 unit, so the range will be everything positive after 1. Anything below 1 would not be in the range.
#teamtrees #WAP (Water And Plant)
The Coney Island Boardwalk is 2.7 miles long. A person jogged at the average speed of 6 mph. How long will it take the person to walk the boardwalk to the end and back?
Answer:0.9
Step-by-step explanation:
The speed of an object is defined as the ratio of distance travelled by it to the time taken. It will take a person 0.9 hours to walk end and back .
What is Speed?Speed is the ratio of distance and time. It is a measure of how fast or slow an object is moving. A high speed object takes less time to travel the same distance as compared to a low speed object.
Given length of island is 2.7 miles.
Speed of the person is 6 mph.
Thus total length for travelling end and back 2.7 + 2.7 =5.4 miles.
Time taken = distance/speed
Therefore, time taken by the person is given as, time is 5.4/6 = 0.9 hours.
Hence, the person will have to take 0.9 hours to walk island end and back.
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Two individuals heterozygous for gene Q produced gametes by meiosis, then mated and fertilized one egg. What is the probability that both the egg and sperm will carry the recessive allele?
Answer:
0.25
Step-by-step explanation:
Following the law of segregation which states that only one of the two gene copies noticeable in an organism is diffused to each gamete (egg or sperm cell) and gene allocation is random.
A heterozygous gene for Q = Qq
If these two individuals mate and produce gametes by meiosis,
The probability that both the egg and sperm will carry the recessive allele is determined as follows:
Qq × Qq
Q q
Q QQ Qq
q Qq qq
The probability that both the egg and sperm will carry the recessive allele qq is 25% or 0.25
Max is a professional table organizer. For today’s event, he brought square tables. A single square table can seat 4 people, one at each side, as in the first picture below. If Max joins 2 tables along a side, as in the picture, he can seat 6 people. How many people can Max seat with even more tables?
Answer:
The function would be 2(t)+2 where t is the number of tables. So, the answer in a form of a table would look like this:
Tables People
1 4
2 6
3 8
4 10
5 12
Step-by-step explanation:
Khan Academy
Is 13 a solution to the compound inequality “x > 5 OR x < 10”
Answer:
no
Step-by-step explanation:
x is greater than 5 in this case, but it is not less than 10.
Answer:
13 > 5 is the solution
Step-by-step explanation:
because 13 is greater than 5
and 13 < 10 is not true because
10 is not greater than 13
A student received a 76% on an exam. If there were 20 questions on the exam, which ratio would show the number of questions answered correctly to the
total number of questions? A. 20:15 B. 5:20 C. 15:20 D. 20:5
Answer:
A
Step-by-step explanation:
You are shopping for your holiday feast. The price for
a turkey at Walmart is $12.62 for 10.7 pounds. The
cost for a turkey at Kroger is 8.45 for 8.5 pounds.
Which store has the best unit price for Turkey?
Answer:
Price of 1 pound Turkey at Walmart = $1.18 and Price of 1 pound Turkey at Kroger = $0.99
So, Kroger has the best unit price for Turkey.
Step-by-step explanation:
Price of 10.7 pound Turkey at Walmart = $12.62
Price of 8.5 pound Turkey at Kroger = $8.45
We need to find store that provides best unit price for Turkey.
We need to find price of 1 pound of Turkey for each store
Price of 1 pound of Turkey at Walmart:
Price of 10.7 pound Turkey at Walmart = $12.62
Price of 1 pound Turkey at Walmart = $12.62/10.7
Price of 1 pound Turkey at Walmart = $1.18
Price of 1 pound of Turkey at Kroger
Price of 8.5 pound Turkey at Kroger = $8.45
Price of 1 pound Turkey at Kroger = $8.45/8.5
Price of 1 pound Turkey at Kroger = $0.99
So, Price of 1 pound Turkey at Walmart = $1.18 and Price of 1 pound Turkey at Kroger = $0.99
So, Kroger has the best unit price for Turkey.
Write 0.00109 ounces in scientific notation
A hairstylist schedules 14 hour to trim a customer's hair and 16 hour to style the customer's hair. The hairstylist plans to work 3 13 hours each day for 5 days each week. How many appointments can the hairstylist schedule each week if each customer must be trimmed and styled?
Answer:
40 customers
Step-by-step explanation:
Trimming = 1/4 hours
Styling = 1/6 hours
Working hours per day = 3 1/3 hours
Working days per week = 5
Total work time per week :
3 1/3 * 5 = 10/3 * 5 = 50 / 3 hours
Time taken for styling and trimming :
1/4 + 1/6 = (3 + 2) / 12 = 5/12
Number of appointments stylist can schedule each week :
Total work time / time taken per person
(50 / 3) ÷ (5 / 12)
(50 /3) * (12 /5)
(50 * 12) / (3 * 5)
= 600 / 15
= 40
Name the coordinates of the final image of the figure after the given sequence of
transformations.
(x,y)——> (y,-x)——> (-x,y)
9514 1404 393
Answer:
S''(5, -3)T''(1, 0)U''(4, 1)V''(4, 0)Step-by-step explanation:
The end result after the final transformation is ...
(x, y) ⇒ (-x, y)
so, each x-coordinate is negated. The transformed coordinates are ...
S(-5, -3) ⇒ S''(5, -3)
T(-1, 0) ⇒ T''(1, 0)
U(-4, 1) ⇒ U''(4, 1)
V(-4, 0) ⇒ V''(4, 0)
Can someone Help me plz ASAP
Answer:
Please check the explanation.
Step-by-step explanation:
Given the angles of the trapezoid
x°x°1/2x°1/2x°As the sum of angle measure = 360°
i.e.
[tex]x+x+\frac{1}{2}x+\frac{1}{2}x=360[/tex]
[tex]x+x+2\cdot \frac{1}{2}x=360[/tex]
[tex]2x+2\cdot \frac{1}{2}x=360[/tex]
[tex]2x+x=360[/tex]
[tex]3x=360[/tex]
[tex]\frac{3x}{3}=\frac{360}{3}[/tex]
[tex]x=120[/tex]
The value of x = 120°
Hence, the angle measure will be:
x°=120x°=1201/2x°=1/2(120)=601/2x°=1/2(120)=60Therefore, listing the angle measure in order from least to greatest
60°, 60 , 120 , 120°
In a school there are 1500 boys and
some are girls. If the number of boys
are 75%, calculate the number of girls
Answer:
Step-by-step explanation:
If there are 1500 total students.
75% or 1125 are boys
25% or 375 are girls.
send the answer fast plz with process 18 to 23
18. Perimeter of rectangle = 2(l + b)
l = 16m
b = 12m
Perimeter of rectangular park = 2 (12 + 16)
= 24 + 32
= 56m
Perimeter of square park = 56m
(given that, perimeter of rectangular and square park are equal)
Perimeter of square = 4a
4a = 56
a = 56/4
a = 14m
Area of square park = a²
= 14²
= 196m²
6.2 x 0.6 worth 25 points have a good day!
3g-2+7g+8=
What is this
Answer:
10g+6 is the answer
Step-by-step explanation: