Answer:
Option (A)
Step-by-step explanation:
From the table attached,
Independent variable 'x' is will be represented by the distance from Metro area.
Similarly, dependent variable 'y' will be on y-axis.
Scatter plot relating the distances of various cities from the metro area (x) to the population of the cities (y) will be represented by the ordered pair as (x, y).
Set of ordered pairs to be plotted,
[(1, 300), (5, 275), (10, 208), (15, 135), (20, 108)]
Therefore, graph given in Option (A) will be the answer.
f(x)=-x^2+x+14
Find f(2)
The answer is 20
Step-by-step explanation:
-2^2=4
x=2
4+2+14
6+14
20
Problem 1:
1. Define the variable:
1. Trini needs more than 51
cubic feet of soil to top up
his raised garden. Each bag
of soil contains 1.5 cubic
feet. Write and solve an
inequality to find how many
bags of soil Trini needs.
2. Write the inequality:
5 times b greater than 51
3.
Solve the inequality
4. Interpret the solution
Answer:
1) The variable is x
2) [tex]1.5x > 51[/tex] Solving the inequality we get x>34
3) [tex]5b > 51[/tex], solving the inequality we get b>10.2
Step-by-step explanation:
1. Define the variable:
The variable is x
2) Trini needs more than 51 cubic feet of soil to top up his raised garden. Each bag of soil contains 1.5 cubic feet. Write and solve an inequality to find how many bags of soil Trini needs.
[tex]1.5x > 51[/tex]
Solving the inequality
[tex]x>\frac{51}{1.5}\\x>34[/tex]
Solving the inequality we get x>34
3) Write the inequality:
5 times b greater than 51
[tex]5b > 51[/tex]
4) Solving the inequality
[tex]5b > 51\\b>\frac{51}{5}\\b>10.2[/tex]
So, solving the inequality we get b>10.2
The prime factorization of
is 24 x 5
Answer:
5 x 24 = 120
120 pf= 2 x 2 x 2 x 3 x 5
or the answer is
2^3 x 3 x 5
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
Find the area of the trapezoid.
bı = 5, b2 = 7, h = 4
The area is
square units
Answer:
24 square units
Step-by-step explanation:
The table contains data on the number of people visiting a historical landmark over a period of one week. Which type of function best models the relationship between the day and the number of visitors?
A. A quadratic function with a positive value of a
B. A square root function
C. A linear function with a positive slope
D. A quadratic function with a negative value of a
Hence , it is to be quadratic function where a has to be less than zero.
Given that ,
The table contains data on the number of people visiting a historical landmark over a period of one week.
We have to find,
The relationship between the day and the number of visitors.
According to the question,
[tex]y = a\sqrt{x} + b[/tex]
And where x = no. of days = 1
y = no. of visitors = 45
45 = a [tex]\sqrt{1}[/tex] + b
45 = a + b
And When x = 2 and y = 86
86 = [tex]a\sqrt{2} + b[/tex]
Solving the equation for the values of a and b.
From equation 1
45 - a = b
Put the value of b in equation 2
86 = [tex]a\sqrt{2}[/tex] + 45 - a
86 - 45 = [tex]a \sqrt{2} - a[/tex]
41 = a ([tex]\sqrt{2} - 1[/tex] )
[tex]a = \frac{41}{\sqrt{2} - 1 }\\\\a = \frac{41}{0.41}[/tex]
a = 100
Put the value of a = 100
45 = 100 + b
45 - 100 = b
b = -55
The required equation is y = 100[tex]\sqrt{x}[/tex] -55.
When x = 4
[tex]y = 100\sqrt{2} - 55\\\\ y = 100 ( 1.4 ) - 55\\\\y = 140 - 55\\\\y = 85[/tex]
And when x = 5
[tex]y = 100\sqrt{5} - 55\\\\y = 223.5 - 55\\\\y = 168.60[/tex]
y = 168 ( approx )
Therefore, 168 ≠ 158
Since the function rises less and less in later stage , it can not be a first order function.
So, it is to be quadratic function where a has to be less than zero.
For more information about quadratic equation click the link given below.https://brainly.com/question/2263981
Simplify the expression. (−0.75x − 5) − (6.5x + 5.4)
Answer:
−7.25x−10.4
Step-by-step explanation:
Let's simplify step-by-step.
−0.75x−5−(6.5x+5.4)
Distribute the Negative Sign:
=−0.75x−5+−1(6.5x+5.4)
=−0.75x+−5+−1(6.5x)+(−1)(5.4)
=−0.75x+−5+−6.5x+−5.4
Combine Like Terms:
=−0.75x+−5+−6.5x+−5.4
=(−0.75x+−6.5x)+(−5+−5.4)
=−7.25x+−10.4
the rectangle below is being enlarged by a scale factor of 3.5. what is the area of the new drawing?
Answer:
122.5^2
Step-by-step explanation:
3.5 x 2 = 7
3.5 x 5 = 17.5
7 x 17.5 =122.5 ft^2 (a=hl^2)
The value of a certain car after one year was $13,595. The value of the same car after 3 years was $11,095. Find the slope and explain what it means.
Answer:
-1250/1 or -1250
This tells us that the car depreciated in value by $1250 every year.
Step-by-step explanation:
11,095-13,595= -2500
This is the value that the car has depreciated over 2 years (from the first year to the third year)
Since we need to find the slope we divide this value by two.
That value would be -1250
Since the value is negative, we know the car has depreciated in value. We also now know that it depreciated in value by $1250 every year
Hope this helps!
In right triangle DEF, ∠E is a right angle, m∠D=26∘, and DF=4.5.
sin26∘≈0.44
cos26∘≈0.90
tan26∘≈0.49
What is the measurement of EF?
If necessary, round your answer to two decimal places, like this: 42.53
what are the intercepts for 7x - 5 = 4y -6
Answer:
The x-intercept is -1/7 and the y-intercept is 1/4
Step-by-step explanation:
Hope this helps!!
Answer:
x-intercept(s): [tex](-\frac{1}{7} ,0)[/tex]
y-intercept(s): [tex](0,\frac{1}{4})[/tex]
Step-by-step explanation:
Shelby mixes a 25% bleach solution with 5 cups of a 10% bleach solution, resulting in a 20% bleach solution. The table shows the amount of each solution used. A table titled Bleach Solution showing Cups, Bleach concentration, and Total. The first row shows 10 percent Bleach with 5, 0.10, and 0.5. The second row shows, 25 percent bleach, with x, 0.25, and 0.25 x. The third row shows Mixture, with 5 plus x, 0.20, and 3. What is the value of x? 1 3 10 24 Mark this and ret
Answer: 10
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
help pleaseee and explain!!
Answer:
D
Step-by-step explanation:
Its an abs value so you have to solve twice. Once for d - 3.5 < or equal to 1.5 which equals 5. You also have to solve for d - 3.5 > or equal to -1.5 which equals 2. So on the graph it has to be less than 5 and greater than 2 so you just connect the two and draw the line over the numbers in between the 2 and 5.
plz help hurry i will mark brainlest!!!!!!!!!!!!
Which expressions are equivalent to 6 Superscript 16? Check all that apply.
(6 Superscript 0 Baseline) Superscript 16
(6 Superscript 8 Baseline) Superscript 8
(6 Superscript negative 4 Baseline) Superscript negative 4
(6 Superscript negative 2 Baseline) Superscript negative 8
(6 Superscript negative 1 Baseline) Superscript 16
(6 Superscript 8 Baseline) squared
Answer:
3rd, 4th, and 6th options are correct
Step-by-step explanation:
took the test
Answer:
The answer above is correct it is the 3rd, 4th, and 6th options.
_____________________________________Also how do you add pictures?
PLEASE HELP, MARKING BRAINLIEST!!!!
Which congruence statement do the triangles show?
A. SAS
B. AAS
C. ASA
D. SSS
E. HL
F. Not enough information
Answer:
side angle side SAS because it includes one angle and two sides.
Step-by-step explanation:
not sure but
Help pwease :( will give brainliest.
Answer:
a. $7
b. $x
c. $20
d.$5y
e.$x + $5y
What is -4.5 = 1.5 - x
Answer:
x=6
Step-by-step explanation:
Which number on the number line is 4 less than 6?
Answer:
2
Step-by-step explanation:
6-4=2
Answer:
2
Step-by-step explanation:
2 is the answer
Using the following uniform density curve, answer the question.
What is the probability that the random variable has a value between 4.1 and 7.4?
0.5375
0.4125
0.2875
0.6625
Answer:
The answer is "0.4125"
Step-by-step explanation:
[tex]\to 7.4 -4.1= 3.3 (0.125)= 0.4125[/tex]
The most Julius can afford to pay per year in mortgage payments is $11,500,
and his credit score is currently 463. According to the following table for a
$150,000 mortgage, by how many points would he need to improve his credit
score in order to take a mortgage for $150,000?
Answer:
212 points
Step-by-step explanation:
He can only afford $11500 per year so divide that by 12, gets you 958 so he’s in the 675-699 range subtract 675- his current credit score to get the number of points he will need.
PLEASE HELP ME (20 POINTS)
Answer:
Not always.
Step-by-step explanation:
https://brainly.com/question/18051242?referrer=fromSearch
Which angles are alternate interior angles?
Answer:
kjm and lmj
Step-by-step explanation:
Answer:
A) Angle KJM and Angle LMJ
Step-by-step explanation:
Alternate Interior Angles are Interior Angles lying in the opposite side of the transversal.
As JM is the transversal.
The Interior Angle in pair with Angle KJM is Angle LMJ
Molly and Cody are selling pies for a school fundraiser. Customers can buy apple pies and
pumpkin pies. Molly sold 1 apple pie and 13 pumpkin pies for a total of $160. Cody sold 14
apple pies and 7 pumpkin pies for a total of $140. What is the cost each of one apple pie and one
pumpkin pie?
Answer:
12 dollars and 6
Step-by-step explanation:
12 divided by 160 = 12
Find the distance between (8,3) and (0, -3).
The distance is:
Answer:
(8,3) = {4,5,6,7}
(0,3) = {1,2}
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
Using the distance formula, you would get this answer.
Distance formula: square root of (2−1)^2 + (2−1)^2
write an equation to represent the linear relationship in the table
Answer:
-1/2
Step-by-step explanation:
please help im being timed
jeremy recived a bill with a balance due of $25.60. after an error was corrected, the new balance due was 1/4 of the original balance due, what is his new balance due
Answer:
6.40$
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLEIST
Choose the value to make the equation true.
70.9 divided by = 7.09
1
10
100
1,000
Answer:
10
Step-by-step explanation:
I hope this helped!
Answer:
10
Step-by-step explanation:
70.9 ÷ 7.09 = 10
-TheUnknownScientist
Which has a slope of -2?
Answer:
The answer would be line be because it goes down 2 and forward one.
Students had two options for lunch, either a taco salad or a hot dog.
The ratio of taco salads to hot dogs is 3:1.
If a total of 80 lunches were served, how many were hot dogs?
Answer:
ok, so the answer would be 27 hot dogs and 53 tacos salads
Step-by-step explanation:
To anybody who is really good at math can you click on the image and answer the 4 questions please and thanks!
Answer:
1) Wallmart
2)16 Oz
3)You woluld save 7 cent per pound by choosing the 11 lbs turkey.
4)You would save $2.00 per notebook. You would save $10.00 buy buying 5.
Step-by-step explanation:
You divide the price by size.
Exaple:
3.99/12
Help please!!!!!! And explain ur answer.. I will mark as BRAINLIEST.
Answer:
The total earning of commission on sales of 85, 000 will be:
[tex]3500+1050=4550[/tex]
Step-by-step explanation:
Total sales earning = 85,000As salesperson earns 5% commission the first 70,000.
[tex]\frac{5}{100}\:\times \:70\:000=3500[/tex]
As the salesperson earns 7% commission on the sales over 70,000.
As 15000 is the sales earning on which he will get commission 7%.
Because
85,000 - 70,000 = 15000So the 7% earning of salesperson will on 15000 will be:
[tex]\:\frac{7}{100}\:\times \:15\:000=1050[/tex]
Therefore, the total earning of commission on sales of 85, 000 will be:
[tex]3500+1050=4550[/tex]