Answer:
a and c are functions b is not
Step-by-step explanation:
a and c are both functions
while b, is not
The school cafeteria sells three different types of sandwiches: chicken, turkey,
and roast beef. Chicken sandwiches sell for $3, turkey sandwiches sell for
$3.50, and roast beef sandwiches sell for $4. The cafeteria makes 400
sandwiches in total, and, if all sandwiches are sold, the cafeteria will take in
$1375. If the cafeteria makes the same number of chicken sandwiches as it
does turkey sandwiches, how many of each type of sandwich does the school
make? (Hint: Write one equation for the number of sandwiches, one equation
for to amount of money all the sandwiches cost, and an equation that show the
number of chicken and turkey sandwiches are equal.)
No
Answer:
Number of chicken sandwiches = 150
Number of turkey sandwiches = 150
Number of roast beef sandwiches= 100
Step-by-step explanation:
We are told the school cafeteriat makes and sells 3 different types of sandwiches which are; chicken, turkey and roast beef.
Let chicken be x, turkey be y and roast beef be z.
We are told they make 400 sandwiches in total.
Thus;
x + y + z = 400
However, we are told that the cafeteria makes same number of chicken and turkey sandwiches.
Thus, x = y
Thus;
Total is now;
x + x + z = 400
2x + z = 400 - - - (eq 1)
Now,we are told that chicken, turkey and roast beef sandwiches are sold for $3, $3.5 and $4 respectively. Also that the total amount realized from sales is $1375.
Thus;
3x + 3.5y + 4z = 1375
Since x = y. Thus;
3x + 3.5x + 4z = 1375
6.5x + 4z = 1375 - - - (eq 2)
Let's make z the subject in eq 1.
Thus;
z = 400 - 2x - - - (eq 3)
Putting 400 - 2x for z in eq(2) gives us;
6.5x + 4(400 - 2x) = 1375
6.5x + 1600 - 8x = 1375
1600 - 1375 = 8x - 6.5x
225 = 1.5x
x = 225/1.5
x = 150
Putting 150 for x in eq 3 gives;
z = 400 - 2(150)
z = 400 - 300
z = 100
Since x = y. Then y = 150
PLZ need serious HELP! No fake or dumb answers
Find the intersection point for the following linear functions.
f(x) = 2x + 3
g(x) = -4x − 27
A. (5,-7)
B. (5,13)
C. (-5,-10)
D. (-5,-7)
Answer:
D) (-5, - 7)
Step-by-step explanation:
Because both lines intersect, they must share a point (have same x and y coordinates).
[tex]2x + 3 = - 4x - 27[/tex]
[tex]2x = - 4x - 30[/tex]
[tex]6x = - 30[/tex]
[tex]x = - 5[/tex]
Substite x for - 5 in any of the equations to find the y coordinate.
[tex]y = 2( - 5) + 3 [/tex]
[tex]y = - 10 + 3[/tex]
[tex]y = - 7[/tex]
The x coordinate for the intersection point is - 5 and the y coordinate is - 7. The intersection point is (-5, - 7)
(8x^4-64x^3+3x-28) / (X-8)
Answer:
[tex]8x^{3}+3-\frac{4}{x-8}[/tex]
Step-by-step explanation:
Set up the synthetic division using the coefficients of the numerator and the root in the denominator. Divide using the rules for synthetic division.
Some helppppp!!!!! I’m having trouble
I really need help with this can I please get some help
Answer:
no thxxxx
Step-by-step explanation:
Help me ASAP major grade
Answer:
$5.58
Step-by-step explanation:
Because divide 12 by 67:
67 ÷ 12 = 5.58
5.58 is the answer
Hope this helped! Pls Brainliest!
Answer:
$5.58
Step-by-step explanation:
$67.00÷12=$5.58
Hope this helps!
If the slope of the line is -4, find y when (2,y) and (3,8).
Answer:
y=12
Step-by-step explanation:
8=-4*3 +b
8=-12=b
20=b
y=-4x=20
-4*2 is -8+20 is 12
(2,12)
I need an answer for this ASAP thanks.
Answer:
ll
Step-by-step explanation:
10. Find the parallel slope: (-2.9) and (1.-3).
writing equations of lines
Step-by-step explanation:
Equation of straight line is y=mx+c
choose any two points on straight line
for me I choose:(-3,11) and (3,-1)
use these two points to find gradient,m.
m= (-1-11)/(3-(-3))
m= -2
now, y=-2x+c
choose any point on the straight line
I choose point (3,-1)
sub the point into the equation to find c
-1=-2(3)+c
c=5
equation: y=-2x+5
If 3/4 the way though the game Sam had 21 points, how many points would he expect to have for a full game? points
Answer:
I'm guessing 28
Step-by-step explanation:
because 3/4 of 21 is 28
On a windmill, the tip of one blade moves in a circular motion. The maximum height is 18 feet and the minimum height is 4 feet. The height of the tip of the blade (in feet) can be modeled by the function h(x)=−14sinx+18 h(x)=−14sinx+18 where x is time in seconds. Use the inverse function to determine how many seconds it will take to make a full rotation for one blade.
A 0.3 second
B 0.6 second
C 1.6 seconds
D 3.2 seconds
Answer:
The correction is D
Step-by-step explanation:
From the question we are told that
The maximum height is [tex]h_m = 18 ft[/tex]
The minimum height is [tex]h_i = 4 ft[/tex]
The function that models the height of the blade is [tex]h(x) =- 14 sin(x) + 18[/tex] here x is time in seconds
Now at maximum height
[tex]18 = - 14 sin(x) + 18[/tex]
=> [tex]-14 sin(x) =0[/tex]
=> [tex]sin(x) =0[/tex]
=> [tex]x =sin^{-1}[0][/tex]
=> [tex]x =0 \ s[/tex]
Now at minimum height
[tex]4 = -14 sin(x) + 18[/tex]
=> [tex]-14 = -14 sin(x)[/tex]
=> [tex]sin (x) = 1[/tex]
=> [tex](x) = sin^{-1}[1][/tex]
=> [tex]x = 1.6 \ s[/tex]
Now this values is the time taken to move from the higher position of the blade to the lower position of the blade
Now it will take this same amount of time to complete the circle
So the total time take is
[tex]x_t = 2 * |x|[/tex]
=> [tex]x_t = 2 * 1.6[/tex]
=> [tex]x_t = 3.2 \ s[/tex]
What is the quotient of -32/8?
Answer:
Hope it help you
Stayhomestaysafe
Plz mark my answer brainliest✍️✍️
Step-by-step explanation:
[tex] - 32 \div8 = - 4[/tex]Answer is -4
REAL NAME - SHRESTH DUBEY
-4 is the Answer.
-32/8 would be -4
Which fractions are equivalent to
-? Check all that apply.
12
Answer:
2/3
24/36
32/48
are all equivalent to 8/12
Answer:
32/48
Step-by-step explanation:
32 divided by 4 is 8
48 divided by 4 is 12
The ratio between earths actual diameter and it’s scaled diameter can be used to find the scaled diameter of the other planets. Earths diameter of 12,756 kilometers is scaled to 3.5 centimeters as shown in the table. Now let’s find the scaled diameter of Mars as an example. Using the calculations shown, Mars diameter of 6,792 would be scaled to 1.9 centimeters. Use this same process to complete the table with the scaled diameters of the other planets. Round each answer to the tenths place.
Answer:
Mercury 1.3, Venus 3.3, Jupiter 39.2, Saturn 33.1, Uranus 14, Neptune 13.6
Step-by-step explanation:
The scaled diameter of each planet is:
Mercury - 1.3 cm
Venus - 3.3 cm
Jupiter - 39.2 cm
Saturn - 33.1 cm
Uranus - 14 cm
Neptune - 13.6 cm
Given,
The ratio between the earth's actual diameter and its scaled diameter can be used to find the scaled diameter of the other planets.
Earth's diameter of 12,756 kilometers is scaled to 3.5 centimeters as shown in the table.
Using the calculations shown, Mars's diameter of 6,792 would be scaled to 1.9 centimeters.
Use this same process to complete the table with the scaled diameters of the other planets.
Round each answer to the tenths place.
What does it mean to be in proportion?If two given ratios are equal we say that the ratios are in proportion.
Example:
1/2 and 4/8 are in proportion.
- 1/2
- 4/8 = 1/2
We have,
Earths diameter = 12,756 km
It is scaled to 3.5 cm
The ratio is:
= 12,756 km /3.5 cm
Since each planet is in proportion with each planet.
We have,
Let the scaled diameter be d.
- Mercury d
12,756 / 3.5 = 4879 / d
d = (4879 x 3.5) / 12756
d = 1.3 cm
- Venus d
12,756 / 3.5 = 12104 / d
d = (12104 x 3.5) / 12756
d = 3.3 cm
- Jupiter d
12,756 / 3.5 = 142984 / d
d = (142984 x 3.5) / 12756
d = 39.2 cm
- Saturn d
12,756 / 3.5 = 120,536 / d
d = (120536. x3.5) / 12756
d = 33.1 cm
- Uranus d
12,756 / 3.5 = 51118 / d
d = (51118 x 3.5) / 12756
d = 14 cm
- Neptune d
12,756 / 3.5 = 49, 528 / d
d = (49528 x 3.5) / 12756
d = 13.6 cm
Thus the scaled diameter of each planet is:
Mercury - 1.3 cm
Venus - 3.3 cm
Jupiter - 39.2 cm
Saturn - 33.1 cm
Uranus - 14 cm
Neptune - 13.6 cm
Learn more about ratios in proportion here:
https://brainly.com/question/26974513
#SPJ2
Match the correct scenario with the correct unit rate format.
1. meters/second
2. $/pound
3. $/ tire
4. people/class
5. miles/gallons
6. calories/serving
Find the product.
[tex](b-9)(b+9)[/tex]
Joyce paid $31.50 for an item at the store that was 55 percent off the original price. What was the original price?
Give your answer to the nearest cent.
The original price of the item was $70 if Joyce paid $31.50 for an item at the store that was 55 percent off the original price.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
Let x be the original price of the item. Then, we can write the equation:
x - 0.55x = 31.50
from the given expression we need to solve the value of x to get the original price if Joyce paid $31.50 for an item at the store that was 55 percent off the original price
Simplifying the given equation, we get:
0.45x = 31.50
Dividing both sides by 0.45, we get:
x = 70
Therefore, the original price of the item was $70.
To learn more about Algebraic expression from given link.
https://brainly.com/question/28884894
#SPJ1
Please help me with this.
Answer:
y = (-1/2)x + 4
Step-by-step explanation:
Slope (m): (-1/2)
down one, right two
y-intercept (b): 4
y = mx + b
The slope-intercept equation if the line is [tex]y=-\frac{1}{2}x+4[/tex]
To find the slope, you must put the 2 points into the slope equation.
[tex]\frac{3-4}{2-0}=\frac{-1}{2}[/tex]
And to find the y-intercept, you must find where the line crosses the y-axis.
(0,4)
3xsquared +13x-10
HELPP PLEASE
Answer:
(x + 5)(3x - 2)
Step-by-step explanation:
Assuming you require the expression factorised.
3x² + 13x - 10
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × - 10 = - 30 and sum = + 13
The factors are + 15 and - 2
Use these factors to split the x- term
3x² + 15x - 2x - 10 ( factor the first/second and third/fourth terms )
= 3x(x + 5) - 2(x + 5) ← factor out (x + 5) from each term
= (x + 5)(3x - 2) ← in factored form
ayudaaaaaaaaaaaaaaaaa
Maya is the manager for the track team. She created a table to compare finish times from the second practice to the first practice.
100 m Dash Finish Time Comparison
Runner
Second practice time compared to first practice time
Joshua
+1.03
Kedwin
–0.97
Leila
–0.95
Miguel
+1.1
Nicole
–0.87
Maya claims that the runners’ order of most improved to least improved is Miguel, Joshua, Nicole, Leila, and Kedwin. Which statement describes whether Maya is correct?
Maya is correct because she compared each digit in the same place value. Miguel added the most time to his sprint so he is most improved.
Maya is incorrect because –0.87 < –0.95 < –0.97. Runners that decrease times are improving, and those that add time are not improving.
Maya is incorrect because 1.1 < 1.03. She should switch the order of Joshua and Miguel because Joshua added more time to his run.
Maya is incorrect because she listed the runners from least improved to most improved. Runners that decreased times are improving, and those that add time are not improving.
Answer:
d
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
its D i took test 2020 edge
Can someone help please ??
Answer:
a)1 , 5 , 9 , 13 , 17, 21 , 25
Suzy's Sculpting gym charges a $10 application fee and $12 per month for membership. Tami's Toning does not charge an application fee, but charges $14 per month for membership. After how many months will the total cost of membership be the same for both gyms?
Answer:
Total cost of membership will be the same for both gyms after 5 months.
Step-by-step explanation:
Given: Suzy's Sculpting gym charges a $10 application fee and $12 per month for membership.
Tami's Toning does not charge an application fee, but charges $14 per month for membership.
To find: After how many months will the total cost of membership be the same for both gyms
Solution:
Let [tex]t[/tex] denotes number of months after which total cost of membership will be the same for both gyms
For Suzy's Sculpting gym,
Total charges [tex]= 10+12t[/tex]
For Tami's Toning,
Total charges [tex]=14t[/tex]
Now solve [tex]10+12t=14t[/tex]
[tex]10+12t=14t\\10=14t-12t\\10=2t\\t=\frac{10}{2}\\ t=5[/tex]
So, total cost of membership will be the same for both gyms after 5 months.
find the value of x that makes the lines parallel 3x-9 2x-1
Answer:
x=8
Step-by-step explanation:
set the equations equal to themselves and solve
3x-9=2x-1
+9 and -2x
x=8
Check:
3(8)-9=2(8)-1
24-9=16-1
15=15
HELP ASAPPPPP PLEASE
Answer:
13. -200, balance on car loans
14. 8, monthly payments
15. linear eqn, y=ax+b
16.values of y will decrease.(although i think the graph will remain linear)
17. as the monthly payment decrease so does the balance on car loan decrease.
(14, -8 ) and (7, -6)
Answer:
-0.28
Step-by-step explanation:
(-6)-(-8)=2.
7-14=-7
2/-7=-0.28
HURRY PLEASE!! I’ll mark you as brainliest
Evan has agreed to mow his neighbor's lawn each week. His neighbor will pay him $15 each week. Evan will
also baby-sit some hours each week for $10 per hour. Evan needs to make at least $100 per week to save for
his own car, but if he makes $200 or more each week his parents will charge him rent. How many hours h
should Evan agree to baby-sit each week to avoid paying rent but still be able to save for his car?
PLEASE HELP!!!!! Sometimes two transformations, one performed after the other, have a nice description as a single transformation. For example, instead of translating 2 units up followed by translating 3 units up, we could simply translate 5 units up. Instead of rotating 20 degrees counterclockwise around the origin followed by rotating 80 degrees clockwise around the origin, we could simply rotate 60 degrees clockwise around the origin. Can you find a simple description of reflecting across the x-axis followed by reflecting across the y-axis?
Answer: A rotation of 180° around the origin.
Step-by-step explanation:
When we have a point (x, y) and we want to reflect it over a given line, the distance between the point and the line remains invariant under the transformation.
This is equivalent as a rotation around a point, the "radius" of the circle that we are creating when we do a rotation is constant.
Now, let's analyze our case:
First a reflection over x-axis, and then a reflection over the y-axis.
This means that if our point starts in quadrant 1 then:
-The reflection over the x-axis will leave our point in quadrant 4.
-The reflection over the y-axis will leave our point in quadrant 3.
Now, if our point stated on quadrant 2.
-The reflection over the x-axis will leave our point in quadrant 3.
-The reflection over the y-axis will leave our point in quadrant 4.
So essentially, these transformations "move" our point to the opposite quadrant, such that the rules of the reflection are applied.
This means that:
The distance between our point and the x-axis does not change.
The distance between our point and the y-axis does not change.
But if the distances to both axes do not change, then the distance between our point and the origin also does not change.
This means that we can find a rotation that is equivalent to this transformation.
So we must look at a rotation that moves our point 2 quadrants.
a rotation that moves our point 2 quadrants will be:
A rotation of 180° around the origin.
Coming in at lunch for extra math help has really paid off! You started out scoring
18 points on each quiz, but your number of points has been increasing 36% per
month for the last 5 months. How many points are you now earning per quiz?
Answer:
83 points.
Step-by-step explanation: