Answer:
[tex]\left \{ {{5x-3y=-8} \atop {xy=12}} \right.\\\\<=>\left \{ {{5x=3y-8} \atop {xy=12}} \right.\\\\<=>\left \{ {{5x=3y-8} \atop {5xy=60}} \right.\\\\<=>\left \{ {{5x=3y-8} \atop {(3y-8)y=60}} \right.\\\\<=>\left \{ {{5x=3y-8} \atop {3y^{2}-8y -60=0}} \right.\\\\<=>\left \{ {{5x=3y-8} \atop {3y^{2}-18y+10y-60 =0}} \right.\\\\\\<=>\left \{ {{5x=3y-8} \atop {3y(y-6)+10(y-6)=0}} \right.\\\\<=>\left \{ {{5x=3y-8} \atop {(3y+10)(y-6)=0}} \right.\\\\[/tex]
<=> 5x = 3y - 8
3y + 10 = 0 or y - 6 = 0
<=> 5x = 3y - 8
y = -10/3 or y = 6
+) with y = -10/3 => 5x = -10 - 8 <=> 5x = -18 <=> x = -3.6
+) with y = 6 => 5x = 3.6 - 10 = 8 <=> x = 8/5 = 1.6
Step-by-step explanation:
Find f(x) where
f(x) = 3x+2/x
Answer:
[tex] \huge f ^{-1}(x) = -\frac{ 2}{3 - x} [/tex]Step-by-step explanation:
to understand thisyou need to know about:inverse functionPEMDASgiven:[tex]f(x) = \frac{3x + 2}{x} [/tex]to find:[tex] {f}^{ - 1} (x)[/tex]tips and formulas:inverses of common function
[tex] + < = > - [/tex][tex] \times < = > \div [/tex][tex] \frac{1}{x} < = > \frac{1}{y} [/tex][tex]x ^{n} < = > \sqrt[n]{y} [/tex]let's solve:[tex]step - 1 : define[/tex][tex]f(x) = \frac{3x + 2}{x} [/tex][tex]step - 2 : solve[/tex][tex]substitute \: y \: for \: f(x) \\ y = \frac{3x + 2}{x} [/tex][tex]interchange \: x \: and \: y \: and \: swap \: the \: sides \: of \: the \: equation\\ \frac{3y + 2}{y} = x[/tex][tex]multiply \: both \: sides \: of \: the \: equation \: by \: y \\ \frac{3y + 2}{y} \times y = x \times y \\ 3y + 2 = xy[/tex][tex]move \: the \: constant \: and \: the \: expression \: to \: the \: right \: and \: left \: hand \: sides \: and \: change \: its \: sign \: respectively \\ 3y - xy = - 2[/tex][tex]factor \: out \: y \: from \: the \: expression \\ (3 - x)y = - 2[/tex][tex]divide \: both \: sides \: by \: 3 - x \\ \frac{(3 - x)y}{(3 - x)} = \frac{ - 2}{3 - x} [/tex][tex] y = \frac{ - 2}{3 - x} [/tex][tex] \therefore \: f ^{-1}(x) = -\frac{ 2}{3 - x} [/tex]
please help me
The measure of an exterior angle of a triangle is 40°. What is the sum of the measures of the corresponding remote interior angles?
Answer:
40 degrees
Step-by-step explanation:
Because there are 180 interior angles in a triangle, you need one of the sides. If an angle's exterior is 40 degrees, we know that the interior angle is 140 degrees. This means that the sum of the other interior angles have to be 40 as 180-140 is 40.
If an angle's exterior is 40 degrees, we know that the interior angle is 140 degrees. This means that the sum of the other interior angles have to be 40 as 180-140 is 40°.
What are Triangle theories?A triangle is the smallest polygon with three sides and three interior angles.Theorem 1: The Sum of Angles property of a triangle states that the sum of the interior angles of a triangle is 180°.Theorem 2: If you lengthen one side of a triangle, the resulting exterior angle is the sum of the two opposite interior angles of the triangle.A exterior angle equals the sum of his two other angles in the triangle, so the sum of the angles in the triangle is 180 degrees. In other words, the other two angles of the triangle (which together make up the exterior angle) must be combined with the third angle to make a 180 degree angle.40 degrees is the sum of the measures of the corresponding remote interior angles.
Because there are 180 interior angles in a triangle, you need one of the sides. If an angle's exterior is 40 degrees, we know that the interior angle is 140 degrees. This means that the sum of the other interior angles have to be 40 as 180-140 is 40°.
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A dressmaker needs to cut 4-inch pieces of ribbon from rolls of ribbon that are 9 feet in length. How many 4-inch pieces can the dressmaker cut from 10 of these rolls of ribbon?
Before you try that problem, answer the question below.
How many inches of ribbon does the dressmaker have, in total?
Answer:
she has 90 feet of ribbon in total and she can cut 270 pieces
Step-by-step explanation:
there's 108 inches in 9 feet
108/4=27
now you have 10 rolls so multiply
27x10=270 ribbons
you have 10 rolls of 9 feet to make ribbons
10x9=90 feet
Answer:
1080 inches
Step-by-step explanation:
Dad gave Cindy and her friends five dollars to share equally at the vending machine.
If there was a total of 8 children, how much money did each child receive?
Use a drawing, numbers, and words to show your thinking. Represent your answer as a fraction.
Answer:
Each child received .62 cent ($4.96) and there were .04 cent left over
Shelter A has 500 beds and is 90% occupied. Shelter B is 60% occupied, the ratio of beds in Shelter A to Shelter B is 15:16
Answer:
800 bedsStep-by-step explanation:
Shelter A has 500 beds and is 90% occupied.
Number of occupied beds:
500*0.9 = 450The ratio of beds occupied in Shelter A to Shelter B is 15:16
450/x = 15/16x = 450*16/15x = 480Number of occupied beds in Shelter B is 480 which is 60% of total. Total number of beds is:
480/0.6 = 800Answer:
Answer:there are 900 beds in shelter B
Step-by-step explanation:
Shelter A has a capacity of 300 beds and is 80% occupied. This means that the number of beds in Shelter A that would be
80/100 × 300 = 0.8 × 300 = 240 beds.
Let x represent the capacity of Shelter B. Shelter B is 45% occupied. It means that number of beds in Shelter B that would be occupied is
45/100 × x = 0.45 × x = 0.45x beds.
Total occupancy of shelter A and shelter B would be
240 + 0.45x
The ratio of the occupancy of shelter A to shelter B is 16:27
Total ratio of occupancy = 16 + 27 = 43
Therefore
27/43 × (240 + 0.45x) = 0.45x
27(240 + 0.45x) = 0.45x × 43 = 19.35x
6480 + 12.15x = 19.35x
6480 = 19.35x - 12.15x = 7.2x
x = 6480/7.2 = 900
Step-by-step explanation:
What do you add to 4 2/7 to make 7
Pls I need answers ASAP plssssss
A new savings account is opened with $400 and gains 3% every year. What is the exponential function? *
Answer: $397 every year
Step-by-step explanation:
Please help this is due soon!!
Answer:
The cosine of A is equal to [tex]\frac{3\sqrt{58}}{58}\\[/tex]
Step-by-step explanation:
Cosine is is calculated as adjacent over hypotenuse. The line adjacent to A is 3 in length.
So we can say that the cosine is equal to 3/√58, but need to multiply it by √58 / √58 to ensure we have a non-radical denominator
[tex]A = \frac{3}{\sqrt{58}}\\A = \frac{3\sqrt{58}}{58}\\[/tex]
What is the approximate value of 0, is cos0=8/15?
A)58
B)32
C)28
D)62
E)48
Answer:
A)58 degrees
Step-by-step explanation:
You can find the answer by taking the arccos of 8/15. This would give you approximately 57.77 which rounds up to 58.
Identify the sampling designs that use voluntary response sampling. Check all that apply.
A pharmaceutical company advertises for subjects to participate in an online survey about insulin pumps for diabetics.
An online poll is created for sports fans to vote on the winner for the Super Bowl.
Each employee is given a mandatory survey to complete about health benefits.
After each customer service call, callers are asked to stay on the line to complete a brief satisfaction survey.
A census taker randomly calls homes to gather data about household income and family demographics.
A used car dealer surveys potential customers about the type of car they are interested in so he can plan his future inventory.
The sampling designs that use voluntary response sampling are #1, #2, #4, and#6.
What is sampling?The samples usually represent a "subset of Manageable size".
According to the question,
Participating in a online survey, online voting polls, and requesting for others to complete a survey are all sampling designs that use voluntary response samplings.
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Answer:
2,3, and 6
Step-by-step explanation: the other person is wrong i just did it edge 2022
Do the ordered pairs below represent a relation, a function, both a relation and a function, or neither a relation nor a function?
(-1,-7) , (3,-11) , (-1,-13) , (8,-16)
Answer:
yes
Step-by-step explanation:
find the value of y
Answer:
27
Step-by-step explanation:
Solve the following system of equations X – 2y = 14 x + 3y = 9
I really need help please
Answer: Its the second one.
Step-by-step explanation:
You have $20 to spend on taxi fare. The ride costs $5 plus $2.50 per mile. Write an inequality to determine how many miles you can ride for $20.
Answer: Maximum 6 miles
Step-by-step explanation: In total you have $20.
Base fare of taxi is $5.
Per mile cost is $2.50.
Your total cost is where x is the number of miles. Since you're on a budget of maximum $20, the cost should be less than or equal to $20. We can write:
To find how many miles we can write, let's solve the inequality:
.
This means 6 is the maximum number of miles you can ride with $20.
Plz help me pass due :(
Answer:
y=5x-3
Step-by-step explanation:
slope intercept form=y=mx+b
so
2y-10x=-6
2y=10x-6
y=5x-3
jim has 5 pair s of pants, 3 shirts, and 2 hats, how many different ways can he dress?
Answer:
3?
Step-by-step explanation:
help pls!! I appreciate it
Answer:
4/3v + 4 = 8
Step-by-step explanation:
The second option is the correct one because you will combine the like terms first.
Hope this helps, thank you !!
Can someone help me with this question please
I’ll mark as brainliest.
Answer:
0.006 inches of rain
Step-by-step explanation:
0.003 multiplied by 2 equals 0.006
Answer:
0.006
Step-by-step explanation:
y = 0.003x
x = minutes of rainfall
y = 0.003(2)
y = 0.006
0.006 inches
PLEASE HELP THE ME THIS IS THE LAST QUESTION IN THE ASSIGNMENT PLEASE QUICK MATHHHHH
Answer:
3.35 km
Step-by-step explanation:
→ Divide the total distance by the number of laps
26.8 ÷ 8 = 3.35 km
A married couple and their children buy tickets to a ball game. The tickets cost 25 dollars apiece, but each of their children gets a 20 percent discount. How much, in dollars, must the family pay for tickets?
Please help with my math
Answer:
Step-by-step explanation:
These triangles are similar triangles, so there is a number that you can multiply the sides of TUV to find the side lengths of QRS. looking at the triangle, the similar sides are RS being similar to UV and RQ being similar to UT.
If RS~UV, then there is a ratio between them. 54/36=1.5. The ratio is 1.5.
RQ~UT, and by a factor of 1.5, so divide RQ by the scale factor. 24/1.5=16. UT=16=x+5.
x+5=16, subtract 5 from both sides.
x=11
please help!!! geometry homework.
There is 135 of masking tape on a roll. Henry has 6 rolls. How many feet of masking tape does he have in all?
Find the smaller of 2 consecutive integers, x, if the sum of the smaller and 4 times the larger is 44.
Answer:
8
Step-by-step explanation:
Find the smaller of 2 consecutive integers, x, if the sum of the smaller and 4 times the larger is 44.
Two consecutive integers are represented as:
Smaller integer = x ,
Larger Integer = x + 1
If the sum of the smaller and 4 times the larger is 44
x + 4(x + 1) = 44
x + 4x + 4 = 44
5x + 4 = 44
5x = 44 - 4
5x = 40
x = 40/5
x = 8
Therefore, the smaller of 2 consecutive integers which is x = 8
I need help solving this practice question. You have to state if the triangles are SSS, SAS, AA or if the triangles are equal.
Answer:
SSS
Step-by-step explanation:
if two of the sets of angles show they are congruent then the third set of angles must be congruent too. There are no sides showing they are congruent either.
sarita's father's age is 49 years his age is 4 years more than three times Sarita age find the present age of Sarita
Answer:
15years
Step-by-step explanation:
Let the present age of sarita be x
Sarita father age = 49years
If his father age is 4 years more than three times Sarita age, this is expressed as;
49 = 3x + 4
Sind x
3x = 49-4
3x = 45
x = 45/3
x = 15
hence present age of sarita is 15years
Cameras R Us has a sale for 25% off camera bags, which is a discount of $20. To find the original cost of the camera bag, Tara creates the following diagram.
A 2-column table with 6 rows. Column 1 has entries 20 percent, 20 percent, 20 percent, 20 percent, 20 percent, Total 100 percent. Column 2 has entries 25 dollars, 25 dollars, 25 dollars, 25 dollars, 25 dollars, blank total.
What errors did Tara make in her diagram? Check all that apply.
There should be 5 rows labeled 20%.
The 25 should be for each percent, not dollar amounts.
The percents do not add up to a whole of 100%.
There should be 4 columns of 25% that each equal $20.
Answer:Its B. and D.
Step-by-step explanation:
Answer:
heyyyyyyyyyyyyyyy
Step-by-step explanation:
7 = x/9 x =___ help
Answer:
x = 63
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable. (Also sorry I'm answering all these questions these are just some of my favorite math problems lol.)
Santos cuts a length of ribbon into 2-inch long pieces. He has enough ribbon to make 10 pieces. What is the total length of the ribbon that Santos has? Use the equation x/2=10.