Answer:
b) y = 3x + 1
y = x+1
Step-by-step explanation:
Select all the systems of equations that have exactly one solution.
a)
y = 3x + 1
y = 3x + 7
y - 3x = 1.... Equation 1
y - 3x = 7...... Equation 2
We solve using Elimination
We Subtract Equation 2 from 1
(y - y ) - (3x - 3x) = 7 - 1
0 = 6
b) y = 3x + 1...... Equation 1
y = x +1...... Equation 2
x = y - 1
We substitute y - 1 for x in Equation 1
y= 3(y - 1) + 1
y = 3y - 3 + 1
y - 3y = -3 + 1
-2y = -2
y = -2/-2
y = 1
Solving for x
x = y - 1
x = 1 - 1
x = 0
x = 0, y = 1,
The Equations in b) have only one solution
c) x+y=10
x = 10 - y
2x+2y=20
We substitute
2(10 - y) + 2y = 20
20 - 2y + 2y= 20
-2y + 2y = 20 - 20
0 = 0
It has no solution
d) x+y=10.... Equation 1
x+y=12..... Equation 2
We solve using Elimination
We Subtract Equation 2 from 1
x - x + y - y = 12 - 10
0 = 2
Find the diagonal of a rectangular solid if the length is 44 inches, the width is 32 inches, and the height is 26 inches.
Answer:
d≈60.3
Step-by-step explanation:
pls help me on this question :-
Answer:
We conclude that the rule for the table in terms of x and y is:
y = 3x+2Step-by-step explanation:
The table indicates that there is constant change in the x and y values, meaning the table represents the linear function the graph of which would be a straight line.
We know the slope-intercept form of the line equation
y = mx+b
where m is the slope and b is the y-intercept.
Taking two points
(-2, -4)(-1, -1)Finding the slope between (-2, -4) and (-1, -1)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-2,\:-4\right),\:\left(x_2,\:y_2\right)=\left(-1,\:-1\right)[/tex]
[tex]m=\frac{-1-\left(-4\right)}{-1-\left(-2\right)}[/tex]
[tex]m=3[/tex]
We know that the y-intercept can be determined by setting x = 0 and finding the corresponding y-value.
Taking another point (0, 2) from the table.
It means at x = 0, y = 2.
Thus, the y-intercept b = 2
Using the slope-intercept form of the linear line function
y = mx+b
substituting m = 3 and b = 2
y = 3x+2
Therefore, we conclude that the rule for the table in terms of x and y is:
y = 3x+2What property is this? -5 + 5 = 0
Answer:
Inverse Property of Addition
Step-by-step explanation:
Any problems that will go into the inverse property of addition must equal 0. In this case, the equation above shows two of the same numbers with opposite signs in which that will equal to zero.
If 1 Euro is equivalent to $1.475 in US dollars, then approximately how many Euros would $50 U S be worth?
Answer:
33.89
Step-by-step explanation:faci regula de 3 simpla
1 euro....... 1,475 usd
X euro....... 50 USD => x = 50/1.475 = 33,89
It costs $320 for a a camping trip. It costs $50 to park your vehicle for the entire trip and $90 per day for the camping site How many days was the camping trip?
Answer:
3 days
Step-by-step explanation:
320-50 = 270
270/90 = 3
PLEASE HElp with math ... please and thank you
Answer:
y = -1/5x + 2
Step-by-step explanation:
y = mx + b
m (slope) = -1/5
b (y-intercept) = 2
y = -1/5x + 2
The ratio of a larger rectangle to a smaller rectangle is 2:1. If the perimeter of the smaller rectangle is 15 ft, what is the perimeter of the larger rectangle?
Answer:
perimeter of the larger rectangle would be 30, since the ratio of the larger rectangle is double the ratio of the small rectangle, you would have to double the peri. of the small rect. to get the peri. of the large rect.
Which of the following equations is equivalent to 4.37p + 7.5 = -6.092?
A. 437p + 75 = -6092
B. 437p + 750 = -6092
C. 437p + 750 = -692
D. 4370p + 7500 = -6092
Answer:
D
Step-by-step explanation:
Claire and Malia are training for a race.
a. Claire runs 10 km in 1 hour. How many kilometers does she run in half an hour? in 2 1/2 hours?
b. Malia runs 5 miles in 1 hour. How many miles does she run in half an hour? in 2 1/2 hours?
c. On Tuesday, Claire and Malia both ran for 2 1/2 hours. Who ran the farther distance?
Answer: hello ima say first off Malia is my name lucky me my name is being used but for more serious matters... hope this helpssss
b)Claire runs 10km in 1 hour. In 2-1/2 hours, she runs (2-1/2 x 10) = 25 km.
c) Malia runs 5 miles in 1 hour
Step-by-step explanation:
Answer this question
Answer:
Step-by-step explanation:
1. Eggs are sold at a price of P 105.00 per dozen.
Rate = [tex]\frac{1}{105}[/tex]
2. The carpentry job can be done by 3 carpenters in 4 days.
Rate at which each carpenter works = [tex]\frac{4}{3}[/tex] = 1[tex]\frac{1}{3}[/tex] days
This shows that each carpenter worked for an average of 1.3333 days to complete the job.
3. Five tickets are sold at P 600.00
The price for one ticket = [tex]\frac{600}{5}[/tex]
= 120
One ticket is sold for P 120.00.
4. The dollar's rate is P 52.00.
This implies that;
1 dollar = P 52.00
dollar rate = [tex]\frac{1}{52}[/tex]
5. The ratio of water to milk in the recipe is 1 to 4.
This implies that to 1 measure of water, 4 measures of milk is used in the recipe.
rate = [tex]\frac{1}{4}[/tex]
What is the answer to y=x^2+6x+5
Answer:
-5 and -1
Step-by-step explanation:
Factoring, we get y = (x+5)(x+1)
So x = -5 or -1
Or, you could've used the quadratic formula, thought it is slower.
Please help me! ( Please) will mark brainiest
Answer:
Option 2
Step-by-step explanation:
Option 2,all the given sets have their members occuring
Please answer correctly !!!!!!!!!! Will
Mark Brianliest !!!!!!!!!!
Answer:
JP = 36
Step-by-step explanation:
Answer:
36 length unit
Step-by-step explanation:
if p is the centroid
then JP = ⅔ JN
then JP = ⅔ × 54 = 36 length unit
Height in meters 15 30 45 60 75 90 105
Distance in kilometers 13.833 19.562 23.959 27.665 30.931 33.833 36.598
1. Determine a function that could be used to model the data in the table.
Make sure to use h for height and d for distance.
2. If the balloon is 800 meters high, what is the farthest distance that you would be able to see? Round answer to the nearest whole number
3. Round answer to the nearest whole number
A building is 16 km away. What height does the balloon have to rise for the building to be visible?
Step-by-step explanation:
....................
Helllppppppppppp plsssss
-2(3b - 8) + 12b
Please answer
Answer:6b+16
Step-by-step explanation:
Answer:
6b + 16
Step-by-step explanation:
-2(3b - 8) + 12b --> Question
-6b + 16 + 12b --> Distributed -2 to the parenthesis
(-6b + 12b) + 16 --> Combined Like Terms
6b + 16 --> Simplified
Hope this answered your question! <3
how can 5(3+2) be expressed using distributive property
Answer:
5(3) 5(2)
Step-by-step explanation:
You would use the distributive property by doing
5(3) 5(2)
15 + 10
25
From the following integers, which integer is the largest?
-2, 4, 6, -7
How do you know?
Answer:
6 is the largest -7 is the smallest
Step-by-step explanation:
There were 12 boys and 20 girls in a chorus. What is the ratio of boys to girls? 3 : 8 5 : 8 3 : 5 5 : 3
Answer:5 : 3
Step-by-step explanation:
Answer:
12:20
Step-by-step explanation:
12 boys: 20 girls
Look at question 5 not the other ones and just answer please
how do you factor 3y^3 - y^2 -9y + 3
Answer:
(3y - 1)(y - √3)(y + √3)
Step-by-step explanation:
Factor by grouping.
3y³ - y² - 9y + 3
= (3y³ - y²) - (9y - 3)
= y²(3y - 1) - 3(3y - 1)
= (3y - 1)(y² - 3)
= (3y - 1)(y - √3)(y + √3)
PLEASE PLEASE SOMEONE HELP. ILL MARK YOU BRAINLY ANSWER ASAP
Answer:
ngl ion even know
Step-by-step explanation:
Please help me thanks please
Answer:
3054
Step-by-step explanation:
4/3 πr³
4/3 × 3.14 × 9³
3054
Yvonne is interested in testing the effectiveness of a new flea medication on dogs, so she divided some dogs with fleas into two groups, group A and group B. She gave group A the flea medication. Should she also give group B the flea medication?
Answer:
a is the correct answer i just took the test
Answer: No, because group B should be rhe control group
Step-by-step explanation:
A company offers premium cable for 39.95 per month plus a one time setup fee. The total cost of 6 months of service is 264.70. Write and solve a linear equation to find the total cost for 2 years of service
Answer:
Total cost = 983.8
Step-by-step explanation:
Monthly charge = 39.95
One time set up fee = x
Number of months = y
Total cost = x + 39.95y
The total cost of 6 months of service is 264.70.
264.70 = x + 39.95(6)
264.70 = x + 239.7
264.70 - 239.7 = x
x = 25
Total cost = 25 + 39.95y
Write and solve a linear equation to find the total cost for 2 years of service
2 years = 24 months
Total cost = 25 + 39.95y
= 25 + 39.95(24)
= 25 + 958.8
= 983.8
Total cost = 983.8
Rahul's monthly income is * 25,000, out of
which he spends 20% on accommodation,
50% on household expenditure, 15% on
transportation and the rest is saved. How
much money does he save?
Answer:
3750
Step-by-step explanation:
25,000 = 100%
20% accomodation
50% household
15% transportation
Saved=100%-20%-50%-15%=15% left saved
15% of 25,000=3750
_______________________________
= 20% + 50% + 15%= 85%= 85% × $25,000 ÷ 100= $21,250= $25,000 - $21,250= $3,750RAHUL SAVES $3,750 EVERY MONTH_______________________________
can somebody help me ?
Answer:
Yes, 4 is the constant of proportionality
Step-by-step explanation:
The constant of proportionality here is the value you multiply x by to get y. if you divide 12/3, 24/6, 36/9, 60/15, the answer to all of those is 4. Because the multiplier is the same for each one they are all proportional.
Bonnie's favorite game at the arcade is Can Em Down. In the game, players earn 7 points for each can they knock down. Bonnie earned 84 points in her best game. Let c represent how many cans Bonnie knocked down. Which equation models the problem?
Answer:
c = (total points earned in best game / points per can knocked down)
c = 12
Step-by-step explanation:
Given that :
Points earned per knockdown = 7
Total points earned in best game = 84
Number of cans knocked down, c
c = (total points earned in best game / points per can knocked down)
c = 84/ 7
c = 12
Hanna has 24 candies. She wants to split all her candies equally into bags to give to her friends. How can she spilt them?
Answer:
Divide
Step-by-step explanation:
Divide 24 into how many friends there are.
Answer:
8 * 3 = 24
Step-by-step explanation:
Gail has $5,500 that she wants to put in a new savings account. She is
considering two banks that are very similar. One difference she notices
are the interest rates:
• Neighborhood Bank - 0.65% interest, compounded weekly
Beautiful Day Bank - 0.65% interest, compounded daily
.
Based on interest, which bank would you suggest Gail pick if she plans to
have her money in the account for 15 years?
Answer: Neighborhood Bank - 0.65% interest, compounded weekly
Step-by-step explanation:
The bank she would suggest Gail pick if she plans to have her money in the account for 15 years is Neighborhood Bank - 0.65% interest, compounded weekly.
How to find the compound interest?If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:
[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]
Given that Gail has $5,500 that she wants to put in a new savings account.
Neighborhood Bank - 0.65% interest, compounded weekly
Beautiful Day Bank - 0.65% interest, compounded daily
Thus, $5,500 x 0.65% = $35.75
$35.75 a day times 360 days = $12870
$12870 times 20 = $257,400.
$257,400 times 20 = $514800 (16.2mil)
Hence, The bank she would suggest Gail pick if she plans to have her money in the account for 15 years is Neighborhood Bank - 0.65% interest, compounded weekly.
Learn more about compound interest here:
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