Answer:
Solution: (-4,5)
Step-by-step explanation:
x=16-4y
3x+4y=8
-----
The 1st equation tells you x = 16-4y
---
Substitute that into the 2nd equation
and solve for "y":
3(16-4y)+4y = 8
48 - 12y + 4y = 8
-8y = -40
---
y = 5
---
Solve for "x"
x = 16-4y
x = 16-4*5
x = 16-20
x = -4
The given system of equations has (-4, 5) as its solution.
What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.We have the following system of equations -
x = 16 - 4y
3x + 4y = 8
Now, we can write -
3x + 4y = 8
3(16 - 4y) + 4y = 8
48 - 12y + 4y = 8
40 = 8y
y = 5
Then, we can write -
x = 16 - 20
x = - 4
Therefore, the given system of equations has (-4, 5) as its solution.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
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how do i find the value of x?
Answer:
x = 18 (verified by algebra) ✅Step-by-step explanation:
When we have two similar triangles, we can use a proportion to determine an unknown value.
[tex]\frac{2x + 80}{87} = \frac{80}{60}[/tex]
We will cross multiply to get two equivalent equations that can be solved.
(2x + 80) x 60 = 120x + 4800
We can simplify this by dividing both sides by 24 to get a much simpler equation to work with: 5x + 200.
80 x 87 = 6960
We will also divide this by 24. The answer is 290
5x + 200 = 290
Subtract 200
5x = 90
Divide by 5
x = 18
Now, we can also check to make sure we did everything correctly.
(2(18) + 80) x 60 = 120x + 4800
(36 + 80) x 60 = 120(18) + 4800
116 x 60 = 2160 + 4800
6960 = 6960 ✅
What is the equation of the vertical line through (-8, 5)
Answer:
The equation of the vertical line passing through the point (-8, 5) will be:
[tex]x=-8[/tex]Step-by-step explanation:
As we have to determine the equations for the horizontal and vertical lines passing through the point (-8, 5).
To determine the equation for the vertical line passing through the point (-8, 5), we must observe that the vertical line will always have the same x-value regardless of y-values.
Therefore, the equation of the vertical line passing through the point (-8, 5) will be:
[tex]x=-8[/tex]In a group of 30 students. 8 take Italian, 12 take German wind 3 take both languages. How many students in the group neither take German nor Italian?
x = 7x - 5 = 2x + 5
Answer:
X = 10/9
Step-by-step explanation:
7x - 5 = 2x + 5
7x - 2x = 5 + 5
9x = 10
X = 10/9
PLEASE HELP ASAP!!!!!!! 26 points
If Serena puts $1000 in a savings account that pays 2% interest compounded annualy, how much money will she have in the account after 10 years? (Hint: To find the amount of money after 1 year. multiply by 1.02.)
Answer:
5000
Step-by-step explanation:
1000 ÷ 2 = 500 x 10 = 5000
Answer:
$1221.19Step-by-step explanation:
Formula for compound interest:
A= P(1+r/n)^n x t
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
We know that Serena pays annually meaning yearly (12 months or 1 year)
So after substituting all the numbers in,
A= 1000(1+0.02/12)^(12x10)
We change the rate to 0.02 because we must divide 2% by 100%. And divide the rate by number of times applied per time (n).
DISCLAIMER:
I have not done compound interest questions in a long time but if you want to confirm my answer, go to a calculator site and just input the numbers on there.
IM GIVING BRAINLIEST!!
What two integers between -100 and -20 could be divided to equal 0?
Answer:
0
Step-by-step explanation:
What divided by what equals 0? What divided by what equals 0? Specifically, what positive whole number (X) can you divide by another positive whole number (Y) to get 0? The answer is infinite.
plz, help this do at 9:00
Three customers have accounts owing money. The table shows the account balances.
Which customer owes the least amount of money?
Customer Balance
M. Palmer –$56.72
B. Leftwich –$74.19
R. Jordan –$54.31
M. Palmer
B. Leftwich
R. Jordan
Answer:
B
Step-by-step explanation:
The answer is B no questions GO GO GO SUBTRACTION SIGN MEANS THEY OWE MONEY
PLZ HELP SPEEDY A line has a slope of -2 and a y-intercept of –3. Graph the line using the slope and y-intercept.
Which of the following points lie on this same line?
(–2, 0)
(–1.5, 0)
(–6, 9)
(2, –3)
(3, –9)
(–4, 4)
Answer: (-1.5,0), (-6,9), (3, -9)
Step-by-step explanation:
Given f(x) = 3x^3 - 8x + k, and x – 1 is a factor of f(x), then what is the value
of k?
Answer:
k = 5
Step-by-step explanation:
Given that (x - h) is a factor of f(x) then f(h) = 0
Given (x - 1) is a factor of f(x), then f(1) = 0, that is
3(1)³ - 8(1) + k = 0
3 - 8 + k = 0
- 5 + k = 0 ( add 5 to both sides )
k = 5
The value of k in the polynomial f(x) = 3x³ - 8x + k is 5.
What is a factor of a polynomial?We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
Given, f(x) = 3x³ - 8x + k, and (x - 1) ⇒ x = 1 is a factor of f(x),
∴ If we replace 1 in place x and make f(x) = 0 and equate we will have the value of k.
So, 0 = 3(1) - 8(1) + k.
0 = 3 - 8 + k.
k = 5.
learn more about factor of a polynomial here :
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Given that RHMO is a rhombus, find x, given that m ∠ 3 = 8x - 6
Answer:x = 12
because RHMO is a rhombus => MH⊥RO
=> m∠3 = 90°
⇒ 8x - 6 = 90°
⇔ 8x = 96
⇔ x = 96/8 = 12
Step-by-step explanation:
Please help me I am stressed it is ratio tables
Answer:
1.
1/2/3/4/5/32
3/6/9/12/15/96
2.
1/2/3/4/5/12
8/16/24/32/96
3.
2/4/6/8/10/12
3/6/9/12/15/18
Step-by-step explanation:
ratios are basically in "#:#" form. then put that in a table. remember that for each one of one thing, it is equivalent to another thing. it might be easy to count it. good luck
soooo yea uh i need help :'3
2 1/3 feet :4 1/2 feet
help
[tex]2 \frac{1}{3} : 4 \frac{1}{2} \\ = \frac{7}{3} : \frac{9}{2} \\ = 14:27[/tex]
I need help with this
1.)
Domain:2,2,-8,-9,-3
Range:3,-7,-2,6,-9
2.)
Domain:-2,1,6,-6,1
Range:5,-5,-6,8,6
The Domain is the x-value and the range is the y-value.
Hope this helps!!
which of these statements is true for f(x)=3x9^x
Answer:
a
Step-by-step explanation:
withdraws $ from bank account once each day for days. What integer represents the change in the amount in the account? Use pencil and paper. Find the integer that would represent the change in the amount in the account if deposits $ into bank account once each day for days. Explain the difference between the integer for the withdrawals and the integer for the deposits.
Answer:
a. Sam withdraws $11 from his account. That means his account balance reduces by $11 so the integer is -$11.
He does this 4 times so;
= 4 * -11
= -$44
b. He then deposits $11 once every day for 4 days.
= 4 * 11
= $44
c. The integer for withdrawals is a negative figure to show that the balance was decreasing. The Integer for deposits is positive to show that the balance was increasing.
is the relation a function?
choose correctly
marking brainlist
Answer: D. This relation is not a function because the input 18 has two different outputs, 9 and 24.
Step-by-step explanation: Remember that in order for it to be a function, each input has one output. There can't be 2 x-values because it would immediately cause it to not be a function.
Bailey can put x houses of his holiday miniature village on each of 7 shelves. He also has 10 houses displayed on his buffet. If he wants to display at least 45 of his houses, how many houses must he put on each of the 7 shelves? Write an inequality to represent this situation
Answer:
7x + 10 ≥ 45
Step-by-step explanation:
Given that:
Number of shelves = 7
Number of houses to display on each shelf = x
Number of houses to display = atleast 45 (≥)
Number displayed on buffet = 10
Number displayed on buffet + (number of shelves * number per shelf) ≥ number of houses to display
10 + (7 * x) ≥ 45
7x + 10 ≥ 45
Y: 2y - 3(4y-3) = 9y + 28
Answer:
y = - 1
Step-by-step explanation:
Given
2y - 3(4y - 3) = 9y + 28 ← distribute and simplify left side
2y - 12y + 9 = 9y + 28
- 10y + 9 = 9y + 28 ( subtract 9y from both sides )
- 19y + 9 = 28 ( subtract 9 from both sides )
- 19y = 19 ( divide both sides by - 19 )
y = - 1
Can you help me please
Answer:
(-5, 7)
Step-by-step explanation:
Answer:
(7,-5)
Step-by-step explanation:
the layout of the coordinate point always goes (x-axis, y-axis), aka (x,y).
so, to do this, you first find the line on the x-axis that coordinate "f" falls on, which would be line 7 on the x-axis.
then, you find the line on the y-axis that coordinate "f" falls on, which would be line -5 on the y-axis.
I hope this was helpful, let me know if there's any questions, as well as if you got it correct :)
the first term in a sequence is 3. the term to term rule is add 5. is 97 at term in the sequence? give a reason why.
I'm kind of on a time crunch so please help ASAP. Thank Youuu x
Answer: No it’s not.
Step-by-step explanation: So if to find the next number, you add five, then all of the numbers in the sequence will either end with 8 or 3. (5+3 or 0+3). Therefore 97 is not a term in the sequence.
ASAP WILL MARK BRAINLIEST
Four solutions.
This is an example of a non-linear (this one is quadratic) system with 2 variables. Quadratic equations have 2 roots, this system has two equations that means 4 solutions.
Hope this helps.
A bagel and a slice of pie cost $4. The slice of pie cost $1.60 more than the bagel. How much did the bagel cost
Answer:
$2.04
Step-by-step explanation:
$4-$1.60
Answer:Bro u just saved my life with that answer
Step-by-step explanation:
Hurry please help ASAP !!!
Answer:
vertical angles
Step-by-step explanation:
An architect planned to construct two similar stone pyramid structures in a park. The
figure below shows the front view of the pyramids in her plan, but there is an error in
the dimensions:
Which of the following changes should she make to the length of side AB to correct
her error? (6 points)
1) Change the length of side AB to 2 feet
2) Change the length of side AB to 8 feet
3) Change the length of side AB to 1 foot
4) Change the length of side AB to 4 feet
Answer:
1) Change the length of side AB to 2 feet
Step-by-step explanation:
Given that both structures are similar, it follows that the ratio of their corresponding lengths are equal.
To find out what should be the correct length of AB that she should change to, set up the proportion showing the ratio of 2 corresponding lengths of both structures. Thus:
[tex] \frac{PR}{AC} = \frac{PQ}{AB} [/tex]
We will assume AB is unknown.
PR = 7.5 ft
AC = 2.5 ft
PQ = 6 ft
Plug in the values into the equation
[tex] \frac{7.5}{2.5} = \frac{6}{AB} [/tex]
Cross multiply
[tex] AB*7.5 = 6*2.5 [/tex]
[tex] AB*7.5 = 15 [/tex]
Divide both sides by 7.5
[tex] AB = 2 [/tex]
The architect should change the length of AB to 2 ft
Figure A is a scale image of figure B. What is the value of x?
Answer:
The value of x = 20.
Step-by-step explanation:
Figure B is the scale image of A.
It is clear that:
side 10 of figure A has the image side of 12.5 in figure B.which can be obtained by multiplying 10 with 1.25
i.e.
10*1.25=12.5so the side 16 of figure A must have to be multiplied by 1.25 to get the image the figure B.
so
16*1.25=20Therefore, the value of x = 20.
find the measurement of the angle? will give brainliest
Answer:
98°
Step-by-step explanation:
The two base angles of a parallelogram are always equal and likewise for the two other angles which makes the base 164° combined an 360-164=196° and 196°/2=98°
26) John makes $12 per hour as a lifeguard and $8 per hour at the library.
This summer, he would like to make at least $500 working his two jobs.
Which graph represents the number of hours he must work at each job to
reach his goal?
Answer:
B
Step-by-step explanation:
Brainliest!!
Which of the following angle pairs are supplementary?
A. 40 and 50
B. 111 and 79
C. 36 and 64
D. 111 and 69
Answer:
d
Step-by-step explanation:
BC supplementary means they add up to 180 and answer d adds up to 180
The conference room can hold fewer
than 100 people
Answer:
ok
Step-by-step explanation:
Answer:
Is there any attachments to this question?
Step-by-step explanation:
Tom rented a truck for one day. There was a base fee of $14.95, and there was an additional charge of 73 cents for each mile driven. Tom had to pay $220.81 when he returned the truck. For how many miles did he drive the truck?
Answer:
Tom drove 282 miles.
Step-by-step explanation:
x = number of miles driven
220.81 = 14.95 + 0.73x
-14.95 -14.93
205.86 = 0.73x
/0.73 /0.73
282 = x
Hope this helps!