Solve the system of equations
Answer:
x = -2 and y = -21
Step-by-step explanation:
Given equations are :
[tex]y=15x+9\ .....(1)\\\\y=\dfrac{x}{2}-20\ ....(2)[/tex]
From equation (1) and (2)
[tex]15x+9=\dfrac{x}{2}-20\\\\15x-\dfrac{x}{2}=-20-9\\\\\dfrac{29x}{2}=-29\\\\x=-2[/tex]
Put the value of x in equation (1)
y = 15(-2) + 9
= -30 + 9
y = -21
So, the solution of the equations are (-2,-21).
Consider the two functions below. Which one of these functions is linear? What is its equation? Enter any answers to two decimal places.
How many times greater is the value of the 3 in 230,716 than the value of the 3 in 23,716?
Answer:30000
Step-by-step explanation:
Because it is not in the thousand place again it is in the tens of thousand place so the numbers at the back just make them zero
Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. lim x → 0 x 8x 8x − 1
Answer:
1/log8
Step-by-step explanation:
Given the limit of the function
Lim x → 0 x•8^x/8^x − 1
Plug in the value of x
= 0•8^0/8^0-1
= 0(1)/1-1
= 0/0 (indeterminate)
Apply l'hosipitals rule:
Lim x → 0 d/dx(x•8^x)/d/dx(8^x − 1)
= Lim x → 0 (x•8^xlog8+1(8^x))/8^xlog8
Plug in the value of x:
= 0•8^0log8+8^0/8^0log8
= 0•1(log8)+1/1•log8
= 0(log8)+1/log8
= 0+1/log8
= 1/log8
Hence the limit of the function is 1/log8
Three triangles are shown.
The measure of the exterior angle shown is represented by x in each triangle. Which of the following represents the correct order of the triangles from least to greatest, if the order is based on x?
R S T
T R S
T S R
S R T
Answer:
it dont show the pic btw
Step-by-step explanation:
A square tile measuring 4 in. by 4 in. weighs 6 oz. Find the weight, in pounds, of a package of 144 such tiles.
Answer:
[tex]144 \ tiles = 864\ oz[/tex]
Step-by-step explanation:
Given
Dimension: 4 by 4
Weight: 6 oz
Required
Determine the weight of 144 of the tiles
From the question, we have that:
[tex]1\ tiles = 6\ oz[/tex]
Multiply both sides by 144
[tex]144 * 1\ tiles = 6\ oz * 144[/tex]
[tex]144 \ tiles = 864\ oz[/tex]
Rosa spent $11.52 on 8 candy necklaces for each of her two friends. How much did each necklace cost?
A:0.72$
B:0.75$
C:0.89$
D:1.72$
Answer:
A. 0.72
Step-by-step explanation:
We take the amount spent on the necklaces and divide that by the amount she bought. So that would be $11.52/8. When we divide this, we get 1.44, and since this is not an option, I went and divided it by the two friends to get 0.72. So I believe A. would be the answer.
The cost for each necklace is given as $0.72.
How to calculate the cost per item?In order to calculate the cost of one item, divide the total cost of items by the total number of items.
It is also called the unit rate of that item.
Total money spent on 8 neckless is $11.52.
The number of friends Rosa has 2.
Then, total number of necklaces is 8 × 2 = 16
Now, the cost of each necklace can be calculated as,
Total cost of necklace ÷ Number of necklace
= $11.52 ÷ 16
= $0.72
Hence, the cost of each necklace for each of the friends is $0.72.
To know more about cost per item click on,
https://brainly.com/question/20489295
#SPJ2
What is the missing value in the table?
A. 14
B. 15
C. 17
D. 18
Answer: A. 14
Step-by-step explanation: It’s going by even numbers
Which choice shows the product of 22 and 49
22 • 49 = 968
22 + 49 = 71
(22)(49) = 1078
22 x 49 = 978
Product of 22 and 49 is
(22)(49) = 1078
Option C
Given :
the product of 22 and 49
Explanation :
We need to find which option is correct to find product of 22 and 49
Product mean multiplying the numbers
so we need to multiply 22 and 49
22
49
----------
198
88
-------------
1078
So the product of 22 and 49 is 1078
(22)(49)=1078
Option C is correct
Learn more : brainly.ph/question/4746687
can anyone give me the answer to these questions? :)
Answer:
13.(8p-13)
14.(5y+1)
15.(11x+12)
Step-by-step explanation:
13. So combine like terms and then you get your answer
14. Same concept as question 13, just combine like terms
15. Also this is combining like terms and it’s pretty straight forward 3x+2x+x+5x=11x and 10+2=12
what number is 40% of 200
Answer:
80
Step-by-step explanation:
40% of 200 = 0.40 *200 = 80
Answer:
The answer is 80%
Step-by-step explanation:
Step 1- Use a caculator
Step 2- Type the question in the caculator
Step 3- Get your answer
Josh bought 2 pairs of jeans for $25.60 each and some shirts for $15.30 each. If he spent a total of $112.40,
many shirts did Josh buy?
Answer:
5 shirts
Step-by-step explanation:
2 pairs of jeans $25.60
$112.40-$25.60=$86.80
if each pair of T-shirts cost $15.30
$15.30 times 5=$76.50
$86.80 - $76.50=$10.30
so John bought 5 shirts however he got some many left $10.30
Solved for U
43=5u - 17
Answer:
U=12
Step-by-step explanation:
1. Add 1717 to both sides.
43+17=5u
43+17=5u
2. Simplify 43+1743+17 to 6060.
60=5u
60=5u
3. 60/5=u
4. simplify 60/5 to 12
5. Switch sides! and theres ur answer! U=12 Hope this helped!! :)
Which equation can be used tº find B in the triangle below?
Answer:
tanB=8/6
Step-by-step explanation:
on 20 of 22 Which equation describes the line with slope 8 that contains the point (-3, -6)? O A. y + 3 = 8(x+6) O B. y-3 = 8(x-6) c. y - 6 = 8(x-3) O D. y + 6 = 8(x + 3)¹
Answer:
Hi, I just wanted to say that I got this question a few days ago on my test!
I haven't gotten my grade yet and I dont know if I got it right but I hope you figure it out! Best of luck to you!
The equation of a line in point slope form is :
Y - y1 = m(x -x1)
M is the slope given as 8
Y1 and x1 are the x and y values of the given point:
Y - (-6) = 8(x - (-3))
Rewrite as:
Y + 6 = 8(x + 3)
The answer is D
On Sunday, chara ran 6 more miles than he did on Saturday. If he ran m miles on Saturday, which expression represents how many miles chara ran on Sunday?
A. 6m
B. m + 6
C.6 - m
D. m - 6
Answer:
Is A supposed to be 6 x m or no??
Step-by-step explanation:
8. A haircut is $120, how much is a 15% tip? *
Answer:
18
Step-by-step explanation: 120 times 0.15
Answer:
$18
Step-by-step explanation:
To work out 15% using a calculator:
0.15 multiplied by 120 which is 18
To work out 15% without a calculator:
10% of 120 is 12. (Just remove the last number whenever you want to get 10% or add it on as a decimal if it's greater than 0. e.g. 10% of 40 is 4 but 10% of 48 is 4.8)
To add the 5% divide 12 by 2 which is 6.
Add the 10% to the 5% to get the 15%.
12+6=18
A band expects to put 12 songs on their next CD. The band writes and records 25% more songs than they expect to put on the CD. During the editing process, 80% of the songs are removed. How many songs will there be on the final CD?
Answer:
3 songs
Step-by-step explanation:
25% more songs: 12 x 1.25 = 15
80% removed: 15 x 0.2 = 3
Researchers studying the relationship between honesty, age, and self-control conducted an experiment on 160 children between the ages of 5 and 15. The researchers asked each child to toss a fair coin in private and to record the outcome (white or black) on a paper sheet, and said they would only reward children who report white. Half the students were explicitly told not to cheat and the others were not given any explicit instructions. Differences were observed in the cheating rates in the instruction and no instruction groups, as well as some differences across children's characteristics within each group.
Required:
Identify the population of interest in the study.
Answer:
The population of interest in this study is:
children between the ages of 5 and 15.
Step-by-step explanation:
In research methodology, the population of interest is the comprehensive group of individuals, institutions, objects, and so forth who possess some common characteristics that are the interest of the researchers. In our example, the researchers are studying the relationship between honesty, age, and self-control. The common characteristic of the group in this case is the age group between the ages of 5 and 15. This characteristic distinguishes the children of this age group from other individuals, institutions, objects, and so forth.
Help me! I’ll mark you brainly!
Use FOIL to expand and simplify:
Anthony's Locker:
A = (x + 4)(x + 2)
= x^2 + 2x + 4x + 8
= x^2 + 6x + 8 ft^2 (H)
Anthony's Math Book:
A = (x + 6)(x - 3)
= x^2 - 3x + 6x - 18
= x^2 + 3x - 18 in^2 (V)
Anthony's Lunch Box:
A = (x - 9)(x - 2)
= x^2 - 2x - 9x + 18
= x^2 - 11x + 18 in^2 (L)
Anthony's Desk:
A = (x - 5)(x + 2)
= x^2 + 2x - 5x - 10
= x^2 - 3x - 10 ft^2 (M)
Answer: What did he sayyyy
Step-by-step explanation:
I do not know hahaha
One leg of the picnic table in Ruth’s backyard is One-half of a centimetre too short, causing the table to wobble. Ruth grabs 3 quarters, each of which are 7 over 40 of a centimetre thick, for a total thickness of 21 over 40 to put under the table leg.
Which statement is true?
The 3 quarters are not thick enough to fill the gap because StartFraction 21 over 40 EndFraction is less than one-half.
The 3 quarters are not thick enough to fill the gap because 21 over 40 is greater than one-half.
The 3 quarters are too thick to put under the table leg because 21 over 40 is less than one-half.
The 3 quarters are too thick to put under the table leg because 21 over 40 is greater than one-half.
Answer:The 3 quarters are not thick enough to fill the gap because StartFraction 21 over 40 EndFraction is less than one-half.
Step-by-step explanation:
2. The standardized verbal scores of students entering a large university are normally distributed with a mean
of 600 and a standard deviation of 80. Find the percent of scores that are:
Answer:
w
Step-by-step explanation:
1 point
1) Determine whether the graph represent a function."
The relation is a function.
The relation is not a function.
Answer:
function i think
Step-by-step explanation:
55% of ADM students like salad
Answer:
what is the question
Step-by-step explanation:
Write the following number as an improper fraction:
-12 2/3
-38/ 3
Step-by-step explanation:
hope it helps!
....
The radius of a circle is 11.4 find the circumference to the nearest tenth
Answer:
71.6
Step-by-step explanation:
c= 2(pi)r
c= 2(3.14)(11.4)
c=71.592
c= 71.6
please!!! help me which one is ???
Answer:
The answer is 150 degrees because you add 100 to the 50.
Step-by-step explanation:
A school with 340 students produces trash that fills 1,190 tall trash cans per week. If each student produces the same amount of
trash, approximately how many trash cans does each student fill per week?
If MN is a midsegment triangle ABS, find the values of x and y. (picture attached
Answer:
f
Step-by-step explanation:
Factor 343x^12 – 125y^27
Answer:
(7x - 3) • (49x2 + 21x + 9)
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
73x3 - 27
STEP
2
:
Trying to factor as a Difference of Cubes:
2.1 Factoring: 343x3-27
Theory : A difference of two perfect cubes, a3 - b3 can be factored into
(a-b) • (a2 +ab +b2)
Proof : (a-b)•(a2+ab+b2) =
a3+a2b+ab2-ba2-b2a-b3 =
a3+(a2b-ba2)+(ab2-b2a)-b3 =
a3+0+0-b3 =
a3-b3
Check : 343 is the cube of 7
Check : 27 is the cube of 3
Check : x3 is the cube of x1
Factorization is :
(7x - 3) • (49x2 + 21x + 9)
Trying to factor by splitting the middle term
2.2 Factoring 49x2 + 21x + 9
The first term is, 49x2 its coefficient is 49 .
The middle term is, +21x its coefficient is 21 .
The last term, "the constant", is +9
Step-1 : Multiply the coefficient of the first term by the constant 49 • 9 = 441
Step-2 : Find two factors of 441 whose sum equals the coefficient of the middle term, which is 21 .
-441 + -1 = -442
-147 + -3 = -150
-63 + -7 = -70
-49 + -9 = -58
-21 + -21 = -42
-9 + -49 = -58
For tidiness, printing of 12 lines which failed to find two such factors, was suppressed
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored