The table shows ordered pairs of the function y = 16 + 0.5x
Which ordered pair could be the missing values represented by (x, y)?
a) (0, 18)
b) (5, 19.5)
c) (8, 20)
d) (10, 21.5)
Answers
the answer is C (8,20)
Answer:
c) (8, 20)
Step-by-step explanation:
We must plug in the given value of x in the function and confirm that the value of y that is returned to us is the correct one.
a) (0, 18)
[tex]x=0,y=18[/tex]
[tex]y = 16 + 0.5(0)=16+0=16[/tex]
the values for y do not match, so it is not a solution.
b) (5, 19.5)
[tex]x=5,y=19.5[/tex]
[tex]y = 16 + 0.5(5)=16+2.5=18.5[/tex]
again, the values for y do not match so it is not a solution.
c) (8, 20)
[tex]x=8,y=20[/tex]
[tex]y = 16 + 0.5(8)=16+4=20[/tex]
For this option, the values of y do match, so (8, 20) are the missing values.
Related Questions
Which of the following is the statement of the triangle inequality theorem?
A. The sum of the measures of any two angles of a triangle is greater than the measure of the third angle.
B. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
C. The longest side of a triangle is opposite the largest angle.
D. The largest angle of a triangle is between the two longest sides.
Answers
we know that
The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side
so
Let
a,b,c------> the length sides of a triangle
The theorem states that three conditions must be met
case 1)
[tex] a+b > c [/tex]
case 2)
[tex] a+c > b [/tex]
case3)
[tex] c+b > a [/tex]
therefore
the answer is the option
B. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
A bag cost 10.50 but you get 20 percent off how much is the bag now?
Answers
Which is
$10.50×.2=$8.40
A fast food restaurant sells between 164 and 328 hamburgers per day. If the company profits $82.00 per 82 hamburgers sold, approximately how much does the company profit in one year from hamburgers?
PLZZZZZZ HELPPPP
Answers
the formula for finding the area of a circle is a equals pi r square. solve the formula for r.
Answers
Area=pi.r^2
r^2=Area/pi
r= square root of Area/pi
The width of a square-based storage tank is 3m less than its height. The tank has a capacity of 20 m3. If the dimensions are integer values in metres, what are they?
Answers
The volume of a rectangle is: V = w * l * h (w - width, l - length, h - height)
A rectangle is square based, so: w = l
V = w * w * h = w² * h
The width of a square-based storage tank is 3m less than its height: w = h - 3
V = 20 m³
w² * h = 20
(h - 3)² * h = 20
(h² - 2 * h * 3 + 3²) * h = 20
(h² - 6h + 9) * h = 20
h² * h - 6h * h + 9 * h = 20
h³ - 6h² + 9h = 20
h³ - 6h² + 9h - 20 = 0
h * h² - 5h² - h² + 5h + 4h - 4*5 =0
(h * h² - 5 * h²) - (h * h - 5h) + (4*h - 4*5) =0
h²(h - 5) - h(h - 5) + 4(h - 5) = 0
(h - 5)(h² - h + 4) = 0
We have that one solution is:
h - 5 = 0
h1 = 5
Other two solutions are:
h² - h + 4 = 0
Quadratic equation is: ax² + bx + c = 0
[tex]h_{2,3} = \frac{-b+/- \sqrt{ b^{2}-4ac } }{2a} = \frac{-(-1)+/- \sqrt{ (-1)^{2}-4*1*4 } }{2*1} = \frac{1+/- \sqrt{1-16} }{2} = \\ \\ = \frac{1+/- \sqrt{-15} }{2} = \frac{1+/- \sqrt{-1*15} }{2} = \frac{1+/- \sqrt{-1} * \sqrt{15} }{2}= \frac{1+/- i\sqrt{15} }{2} \\ \\ h_2 = \frac{1+ i\sqrt{15} }{2} \\ \\ h_3 = \frac{1- i\sqrt{15} }{2}[/tex]
The only integer value is h1 = 5 m
h = 5 m
w = h - 3 = 5 - 3 = 2 m
Volume = x(x)(x + 3) = x^3 + 3x^2 = 20
x^3 + 3x^2 - 20 = 0
x = 2
Therefore, the dimension of the tank is 2 m by 2 m by 5 m
The formula for rate is r=d/t . Solve for d.
Answers
d/t=r
d=r.t
you have: [tex]r= \frac{d}{t} [/tex]
You want to solve for d->>> to isolate d multiply both sides by t...
[tex]t*r =\frac{d}{t} *t[/tex]
[tex]t*r=d[/tex]
Thus, your answer.
Give 9.7814 correct to the nearest whole number
Answers
because you're rounding
Final answer:
9.7814 rounded to the nearest whole number is 10, as the first digit after the decimal point is 7, which requires rounding up.
Explanation:
To find the nearest whole number to 9.7814, we need to look at the first digit after the decimal point. Since this digit is 7 (which is equal to or greater than 5), we round up the number. Rounding up changes 9.7814 to the next whole number, which is 10.
The general rule for rounding to the nearest whole number is:
If the first decimal place is 5 or greater, round up.If the first decimal place is less than 5, round down.Therefore, 9.7814 rounded to the nearest whole number is 10.
13 tenths plus 8 tenths plus 32 hundredths <,> =,to 2.42
Answers
The equation of line KL is y=-1/2x-6. The equation line WX is 7x-14y=-42. Rewrite the equation of line WX in slope-intercept form and determine if the two lines are parallel.
Answers
The equation of line WX in slope-intercept form is,
⇒ y = 1/2x + 3
And, Lines WX and Kl are not parallel lines because its slopes are not equal to each other.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The equation of line KL is,
⇒ y = - 1/2x - 6.
And, The equation line WX is,
⇒ 7x - 14y = - 42
Now,
The equation of line WX in slope-intercept form is,
⇒ 7x - 14y = - 42
⇒ 7x + 42 = 14y
⇒ 14y = 7x + 42
⇒ y = 7x/14 + 42/14
⇒ y = 1/2x + 3
Hence, Slope of equation of line WX is,
⇒ y = 1/2x + 3
⇒ dy/dx = 1/2
⇒ m = 1/2
And, Slope of equation of line KL is,
⇒ y = - 1/2x - 6
⇒ dy/dx = - 1/2
⇒ m = - 1/2
We know that;
Slopes of parallel lines are equal.
Hence, Lines WX and Kl are not parallel lines because its slopes are not equal to each other.
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What is the ratio of julios 22 to jonah 8 points?
Answers
the answer is 11:4
Read the numbers and decide what the next number should be 8,4,2,6,3,2,4.
Answers
The given sequence involves a two-part pattern. One part is halving the previous number and the other part alternates between 4 and 6. Considering the pattern, the next number should be 0.5.
Explanation:The sequence 8,4,2,6,3,2,4 appears to have a pattern. It seems to be a two-part pattern that alternates. The first part, observed in the numbers 8, 2, and 2, is halving (8 divided by 2 is 4, and 2 divided by 2 is 1, and 1 by 2 is 0.5). Then, the second part, observed in 4,6,4, seems to alternate between 4 and 6. So, if the pattern continues, the next number after 4 should be 0.5 from the first part of the pattern.
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The sequence could actually be representing two series - one series is halving the number (8 to 4 to 2) and the other is multiplying each number by 2 (3 to 2 to 4 to 8). Thus, the next number could either be 1 (if we continue the halving series) or 12 (if we continue the multiplying by 2 series).
Explanation:The number sequence provided seems to be made of two different series interwoven. One series is halving each number (8 to 4 to 2), and the other series is multiplying each number by 2 (2 to 4 to 6 to 12).
Therefore, the next number after 8, 4, 2, 6, 3, 2, 4 should be 1 (half of 2) whereas the next number in the second series after 6, 3, 2, 4 should be 12 (four times 3). So, depending on which pattern the sequence is following, the next number could be either 1 or 12.
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What is the prime factorization of 126
Answers
The prime factorization of the number 126 is 2,3,3, and 7.
What is prime factorization?Any number can be represented as a sum of prime numbers by prime factorization. A number with exactly two factors, 1 and the number itself, is said to be a prime number. As an illustration, the prime factorization of 18 is 2,3, and 3.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the number is 126. The prime factorization of the number 126 will be calculated as:-
126 = 2 x 3 x 3 x 7
Hence, the prime factorization of the number 126 is 2,3,3, and 7.
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Explain what the m and b variables represent in the y=mx b equation
Answers
If f(x) is an odd function and the graph of f(x) includes points in Quadrant IV, which statement about the graph of f(x) must be true?
It includes points in Quadrant I.
It includes points in Quadrant II.
It does not include points in Quadrant I.
It does not include points in Quadrant II.
Answers
Answer:
It includes points in Quadrant II.
It does not include points in Quadrant I.
Step-by-step explanation:
Given : If f(x) is an odd function and the graph of f(x) includes points in Quadrant IV.
To find : which statement about the graph of f(x) must be true.
Solution : We have given that f(x) is an odd function is lies in Quadrant IV.
Definition of an odd function: the y-value of the function at negative x is always opposite sign as the y-value of function at opposite x.
Like (x ,-y) or (x , -y)
In odd function x and y values are in opposite sign that mean odd function always lies in Quadrant II and Quadrant IV.
It does not include points in Quadrant I
Therefore, It includes points in Quadrant II.
It does not include points in Quadrant I.
Answer:
includes quad 2
Step-by-step explanation:
Assume the function has an inverse. Without solving for the inverse find the indicated function values: f(x)=x^3+4x-1, (a) f^-1 (-1) (b) f^-1 (4) ...?
Answers
To find the indicated function values of the inverse of a function, substitute the given values into the original function and solve for x.
Explanation:To find the indicated function values of the inverse of the function f(x)=x^3+4x-1, without solving for the inverse function, we substitute the given values into the original function and solve for x.
(a) To find f^-1(-1), we substitute -1 into the function: f(-1)=(-1)^3+4(-1)-1 = -1+(-4)-1 = -6.
(b) To find f^-1(4), we substitute 4 into the function: f(4)=(4)^3+4(4)-1 = 64+16-1 = 79.
A sneaker store salesman had $4,125 in total monthly sales last month. He made $165 in commission from those sales. What is the salesman's commission as a percent of his total monthly sales? Enter your answer in the box. %
Answers
Answer:
Salesman's commission 4% of total monthly sales.
Step-by-step explanation:
A sneaker store salesman had $4,125 in total monthly sales last month.
He made $165 in commission from those sales.
Suppose, it is x% of the total sale.
So, x% of $4125 will be,
[tex]=4125\times \dfrac{x}{100}[/tex]
According to the question it is equal to $165, so
[tex]\Rightarrow 4125\times \dfrac{x}{100}=165[/tex]
[tex]\Rightarrow x=\dfrac{165\times 100}{4125}[/tex]
[tex]\Rightarrow x=\dfrac{16500}{4125}[/tex]
[tex]\Rightarrow x=4\%[/tex]
Therefore, salesman's commission 4% of total monthly sales.
Answer: 4%
Step-by-step explanation:
Due to the fact that the salesman had $4,125 in total monthly sales the previous month, the answer would be 4%
Which equation shows the substitution method being used to solve the system of linear equations?
x – y = 7
x = y + 3
A.
(y + 3) – y = 7
B.
x = (7 – x) + 3
C.
x – (y + 3) = 7
D.
x – y = y + 3
Answers
What did the inventor of the 10 ton truck so often say
Answers
Answer:
This is an equation in which we have to find the slope of the line. We are supposed to draw the line for the two given points.
Step-by-step explanation:
The equation and the graph are solved as:
For graph One: B=(4,4)(1,2) for that m= 2/3. E=(2,0)(-4,4), for this m=-2/3. O=(1,-3)(-3,-4),m=1/4.for Second graph: I=(-1,-3)(2,3), m=2. E=(-4,-3)(-2,-1), m=-2. O=(-3,0)(-1,5),m=5/2. for the third graph:E=(0,2)(5,-1),m=-3/5. D=(5,6)(2,-1), m=7/3.L=(-5,2)(0,-3),m=-1.for the fourth graph: D=(0,0)(2,-6),m=-3. G=(4,5)(-2,4),m=1/6. S=(2,-3)(-5,-3), m=0.Now the Graphical data and the results are attached to the answer, given hope it helps out.
If h(x) = -3x - 10, find h(-3).
Answer
-1
2.3
-19
1
...?
Answers
__________________________________________________________
Explanation:
__________________________________________________________
Given: " If h(x) = -3x − 10, find h(-3). "
So; we plug in "-3" for all values of "x" ; to solve for " h(-3)" ; as follows:
→ h(-3) = -3(-3) − 10 = 9 − 10 = - 1 .
The answer is: " - 1 " .
__________________________________________________________
The hand on a clock shows 6:00pm what is the measure of the angle
Answers
what is 4.09 rounded to the nearest
Answers
What is the square root of 59,005?
Answers
What is the solution to the system of equations?
y = 1.5x – 4
y = –x
a. (–1.6, 1.6)
b. (–1.5, 1.5)
c. (1.5, –1.5)
d. (1.6, –1.6)
Answers
y= 1.5x - 4
-x= 1.5x - 4
1.5x+x=4
2.5x=4
x=1.6
y= -1.6
How many millimeters are in 50 centimeters?
Answers
so, 50x10=500
What number should be added to the expression x^2 + 2x to change it into a perfect square trinomial?
Answers
so x^2 + 2x must be added 1 to become x²+2x+1=(x+1)²
Morgan calculated that he spent 305 minutes doing homework one week and 284 minutes doing homework the next week. How much more time did he spend doing homework the first week?
Answers
What is the solution of the equation?
4p/6+27=39
A. 22
B. 99
C. 4
D. 18
Answers
We simplify the equation to the form, which is simple to understand
4p/6+27=39
Simplifying:
+ 0.666666666667p+27=39
We move all terms containing p to the left and all other terms to the right.
+ 0.666666666667p=+39-27
We simplify left and right side of the equation.
+ 0.666666666667p=+12
We divide both sides of the equation by 0.666666666667 to get p.
p=18
Dayla earns $108.75 for working 15 hours of holiday open rap at this rate how much money will see you earn if she works 18 hours the next week explain
Answers
15 hours to $108.75
1 hour to 108.75/15 = $7.25 per hour
dayla would earn (7.25*18) for the preceding week which $130.50
y times 6 for y = 2/3
Answers
6y = 2/3
y = 2/3*6
y = 2/18
y = 1/9
So, your final answer is 1/9
Hope this helps!
graph the equation. y = 4x - 3