Answer:
x=2
y=-3
Step-by-step explanation:
2x+y = 1
3x+2y = 0
Multiply the first equation by -2
-4x-2y = -2
Add this to the second equation
-4x-2y = -2
3x+2y = 0
-------------------
-x = -2
Multiply by -1
x = 2
Now find y
2x+y = 1
2(2) +y = 1
4 +y = 1
Subtract 4 from each side
y = 1-4
y = -3
Answer: y = -2x + 1
Solution to the system: (2,-3)
Step-by-step explanation:
2x + y = 1
3x + 2y = 0
We can solve this using substitution
The first thing that we're going to want to do is solve for y in the first equation
Solve for y
2x + y = 1
Subtract 2x from both sides
y = 1 - 2x
We now have the two equations
y = -2x + 1 and 3x + 2y = 0
The next step in solving the system is to plug in the expression of y ( -2x + 1) into the second equation
3x + 2y = 0
Substitute -2x + 1 for y
3x + 2(-2x + 1) = 0
Now solve for x
Distribute the 2 to the -2x and 1
2 * -2x = -4x
2 * 1 = 2
We now have 3x - 4x + 2 = 0
Combine like terms
-x + 2 = 0
Add x to both sides
2 = x
Now to find the value of y we substitute the value of x into one of the equations and solve for y
2x + y = 1
x = 2
2(2) + y = 1
Multiply
4 + y = 1
Subtract 4 from both sides
y = -3
The solution to the system is (2,-3)
And we are done!
The function f(t) = 3 - t shows the cost of an ice cream sundae ($) with a different number of toppings (t). What is the slope of the function?
Answer:
-1
Step-by-step explanation:
are you sure this is the right equation ? it would mean that the more toppings the cheaper the ice cream.
but as it is written, the slope is -1.
the slope of a line is always the factor of the variable in the equation.
it is the ratio of y/x indicating how many units y is changing for a given change of x.
in our example here, if x changes 1 unit to the right (+1), then y changes 1 unit down (-1).
so, -1/+1 = -1
The slope of the function f(t) = 3 - t is -1
What is function?"It defines a relation between input and output values."
What is the slope of the function?"It is the rate of change of the dependent variable of the function with respect to that of the independent variable."
For given question,
We have been given a function f(t) = 3 - t
We need to find the slope of the function.
[tex]m=\frac{d}{dt}f(t)\\\\ m=\frac{d}{dt}( 3 - t)\\\\m=-1[/tex]
Therefore, the slope of the function f(t) = 3 - t is -1
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factorize: x² + 6x + 5-4y - y²
Answer:
below
Step-by-step explanation:
that is the procedure above
The factorized form of x² + 6x + 5 - 4y - y² is:(x + 1)(x + 5) - (4y + y²)
To factorize the expression x² + 6x + 5 - 4y - y², group the terms and factor them separately.
Rearranging the terms
(x² + 6x + 5) - (4y + y²)
Now let's factor each group separately:
1. Factoring x² + 6x + 5:
The quadratic expression x² + 6x + 5 can be factored into two binomial factors. We look for two numbers that multiply to give 5 and add up to 6 .
These numbers are 1 and 5:
(x + 1)(x + 5)
2. Factoring -4y - y²:
The terms -4y - y² have a common factor of -1.
Factoring out -1 gives
-1(4y + y²)
Combining the factorization of both groups
(x + 1)(x + 5) - 1(4y + y²)
Therefore, the factorized form is (x + 1)(x + 5) - (4y + y²).
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need some help with this
Answer:
y=4x-7
Step-by-step explanation:
here,
the equation of straight line in slope intercept form is;
y=mx+c
( m= slope
c= y-intercept )
soo..
the question has asked for slope 4 i.e. m=4
and y- intercept -7 i.e. c= -7
now.
the required equation is
y= 4x-7
mark me brainliest and follow me ... please
2/5(1/3x-15/8)-1/3(1/2-2/3x)
Answer:
[tex]\frac{16}{45}x-\frac{11}{12}[/tex]
Step-by-step explanation:
We are given that an expression
[tex]\frac{2}{5}(1/3x-15/8)-\frac{1}{3}(1/2-2/3x)[/tex]
We have to find the equivalent expression.
[tex]\frac{2}{5}(\frac{1}{3}x-\frac{15}{8})-\frac{1}{3}(\frac{1}{2}-\frac{2}{3}x)[/tex]
[tex]\frac{2}{5}\times \frac{1}{3}x-\frac{2}{5}\times \frac{15}{8}-\frac{1}{3}\times \frac{1}{2}-\frac{1}{3}\times (-\frac{2}{3}x)[/tex]
Using the the property
[tex]a\cdot (c-b)=a\cdot c-a\cdot b[/tex]
[tex]\frac{2}{5}(1/3x-15/8)-\frac{1}{3}(1/2-2/3x)[/tex]
[tex]=\frac{2}{15}x-\frac{3}{4}-\frac{1}{6}+\frac{2}{9}x[/tex]
[tex]=\frac{6x+10x}{45}+\frac{-9-2}{12}[/tex]
[tex]=\frac{16}{45}x-\frac{11}{12}[/tex]
[tex]\frac{2}{5}(1/3x-15/8)-\frac{1}{3}(1/2-2/3x)=\frac{16}{45}x-\frac{11}{12}[/tex]
Please help. I need it
Answer:
angle c = 32.204°
5.
MULTIPLE CHOICE: There are 15 pieces of fruit in a bowl and 6 of them are apples.
What percentage of the pieces of fruit in the bowl are apples?
a.
0.06%
b.
0.4%
C.
6%
d.
40%
Answer:
d
Step-by-step explanation:
alr, 15 fruits total, 6 are apples.
6/15 = 2/5
2/5 is also the same as 40% or 0.4, therefore the option is d.
go to gauthmath's sub reddit if needing more help ^^
Do not round your answer. Type in the number with the decimal. 15% of 25 is
Answer:
to add on to what the other dude said its 4
Step-by-step explanation:
Is the data set "color of the coal taken from a rail car" quantitive or qualitative? If it is quantitative is it descents or continuous?
A quantitative , discrete
B quantitative continuous
C qualitative
D neither
Answer:
It's A.)
Step-by-step explanation:
97 percent of 245m what is the answer
Answer:
multiply them
Step-by-step explanation:
trust me on this one i love using that hack
Given that PQ/ST = QR/TU= RS/US, select the postulate or theorem that you can use to conclude that the triangles are similar.
Answer: SSS Similarity Theorem (Choice A)
This is because we have three pairs of corresponding sides that form the same ratio, as shown by the given equation PQ/ST = QR/TU = RS/US.
That equation is basically the shorthand version of PQ/ST = QR/TU and QR/TU = RS/US combined together as one.
write a formula that describes the value of an initial investment of $100 that loses value at a rate of 8% per year compounded continuously
Answer:
[tex]A = 100(.92)^{t}[/tex]
Step-by-step explanation:
Logan was going to go to
Disneyland in America so he got
$450 from the bank. Then he
changed my travel plans, to go to
Eurodisney in Paris. How many
Euros will he have to spend?
Exchange Rate
GBP to Dollars £1: $1.50
GBP to Euros £1: €1.38
At a coffee shop, the first 100 customers'
orders were as follows.
Small
Large
Medium
Hot
un
48
22
Cold
8
12
5
5
What is the probability that a customer ordered
a large given that he or she ordered a cold
drink?
Rounded to the nearest percent, [? ]%
Answer:
people who ordered a cold drink=
[tex]8+12+5=25[/tex]
people who ordered a large cold drink= 5
[tex]probability= \frac{5}{25}[/tex] [tex]=\frac{1}{5}[/tex]
[tex]=\frac{1}{5} \times100=20~\%[/tex]
[tex]Answer: 20\%[/tex]
-----------------------
Hope it helps...
Have a great day!!
The probability that the customer ordered a large given that he or she ordered a cold drink is 5%.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Given the order of the first 100 customers in a coffee shop.
Number of customers who ordered a large which is also a cold drink = 5
Total number of customers = 100
Probability = Number of desired outcomes / Total number of outcomes
Substituting,
Probability = 5 / 100 = 0.05 = 5%
Hence the required percent is 5%.
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Write the next thee numbers in each number pattern. Describe the pattern.
a) 2, 4, 3, 6, 5, 10, 9, 16, …
b) 7, 5, 8, 6, 9, 7, 10, …
Answer:
a) 2, 4, 3, 6, 5, 10, 9, 16, ...
Step-by-step explanation:
Help me to do this question plz plz plz
Answer:
Unknown
Step-by-step explanation:
You need to reduce the fractions the best you can and solve from there :) not to sure tho I am only 13
What is the order of rotational symmetry for the figure?
Answer:
it should be 3
Step-by-step explanation:
I hope this help
The 4 answer it gives
X=-3
X=-1
X=1
X=3
Answer:
x=3
Step-by-step explanation:
If we look at the point of intersection on the graph they intersect at point (3,-1) but x=3 and y=-1 therefore x=3.
A school in Delhi has its own flag, which is rectangular and divided into 4 rows and 6 columns. The word ‘SCHOOL' is inscribed in the first row, ‘FLAG' in the fourth row, and a purple coloured rhombus is in the middle
The question is incomplete. The complete question is :
A school in Delhi has its own flag, which is rectangular and divided into 4 rows and 6 columns. The word ‘SCHOOL’ is inscribed in the first row, ‘FLAG’ in the fourth row, and a purple colored rhombus is in the middle, as shown in the given figure.
Based on this picture of the school flag, answer the following questions:
(a) What fraction of the flag has the purple rhombus?
Solution :
From the figure, the total number of squares in the flag of 4 rows and 6 columns are : 4 x 6 = 24 blocks
The purple colored rhombus is made on the half of the 4 blocks.
i.e. [tex]$\frac{1}{2} \times 4 = 2\ \text{blocks}$[/tex]
Therefore, the fraction of the flag that has the purple rhombus is :
[tex]$=\frac{2}{24}$[/tex]
[tex]$=\frac{1}{12}$[/tex]
PLEASE DO THIS ASAP! MUST SHOW WORK!
NO LINKS
Answer:
P = 64 meters
Step-by-step explanation:
P = 2(l+w)
l = 14 and w = 18
P = 2(14+18)
P = 2( 32)
P = 64 meters
Perimeter of rectangle = 2 ( L + B )
L represents length of rectangle. B represents breadth of rectangle. So ,L = 14 metersB = 18 metersNow , Substuting the valuesPerimeter of rectangle = 2 ( 14 + 18 )
Perimeter of rectangle = 2 ( 32 )
Perimeter of rectangle = 64 meters.
ILL GIVE BRAINLEST!!! An ice cream shop sold a combined total of 429 ice cream cones in the flavors of
chocolate or vanilla. They sold 105 more chocolate cones than vanilla. How many vanilla
ice cream cones did they sell?
Answer:
They sold 162 vanilla cones.
Step-by-step explanation:
429-105=324
324/2=162
162+105=267 (chocolate)
267(chocolate)+162(vanilla)=429(total)
Find the equation of the line:
Answer:
y = -1/4x - 2
Step-by-step explanation:
y = -1/4x - 2
y = -4(x + 6)(x - 8)
How do you write this in standard form?
Answer:
[tex]y = -4x^2 + 8x + 192[/tex]
Step-by-step explanation:
Hi there!
Standard form: [tex]y=ax^2+bx+c[/tex]
[tex]y = -4(x + 6)(x - 8)[/tex]
Use the distributive property to multiply (x+6) and (x-8)
[tex]y = -4(x(x - 8) + 6(x - 8))\\y = -4(x^2 - 8x + 6x - 48)\\y = -4(x^2 - 2x - 48)[/tex]
Multiply the parentheses by -4
[tex]y = -4x^2 + 8x + 192[/tex]
I hope this helps!
A 12-member jury is to be selected from 15 men and 13 women. Find the probability that this jury has 6 or 7 males.
Answer:
The right solution is "0.5545".
Step-by-step explanation:
According to the question,
The probability of having 6 or 7 males will be:
= [tex]P(6 \ males)+ P(7 \ males)[/tex]
= [tex]\frac{15_C_6\times 13_C_6}{28_C_{12}} + \frac{15_C_7\times 13_C_5}{28_C_{12}}[/tex]
= [tex]\frac{5005\times 1716+6435\times 1287}{30421755}[/tex]
= [tex]\frac{16870425}{30421755}[/tex]
= [tex]0.5545[/tex]
Match the number with its opposite -5.4
What is the explicit formula for the geometric sequence with this recursive formula
Answer:
Hello,
Answer A
Step-by-step explanation:
[tex]a_1=-6\\\\a_2=a_1*(\dfrac{1}{4} )^1\\\\a_3=a_2*(\dfrac{1}{4} )^1=a_1*(\dfrac{1}{4} )^2\\\\\\\\a_n=a_1*(\dfrac{1}{4} )^{n-1}\\\\Answer\ A\\[/tex]
To the nearest tenth of a second, the ball is in the air for s.
Answer:
2.4
Step-by-step explanation:
Took the assignment
Answer:
2.4 seconds is the correct answer.
Step-by-step explanation:
Just completed it.
Triangle ABC is shown below with line DE passing through the center:
Triangle ABC is shown with line DE running horizontally through the center of the figure.
If triangle ABC is dilated by a scale factor of three about the center of the triangle, dilated line D'E' will (6 points)
be parallel to the original line
shift three units to the right
be perpendicular to the original line
pass through points D and E
Answer:
D'E' be parallel to the original line
Step-by-step explanation:
Given
[tex]\triangle ABC[/tex]
Line [tex]DE[/tex]
[tex]k = 3[/tex] -- scale factor
Required
The relationship between [tex]DE[/tex] and [tex]D'E'[/tex]
When [tex]\triangle ABC[/tex] is dilated by a scale factor of 3, [tex]\triangle A'B'C'[/tex] will be three times as big as [tex]\triangle ABC[/tex].
Also:
Line [tex]D'E'[/tex] will be three times as long as [tex]DE[/tex]
Since no further transformation is done on [tex]\triangle ABC[/tex] and line [tex]DE[/tex], then [tex]D'E'[/tex] will be parallel to [tex]DE[/tex]
If 1125 = 3^m × 5^n ;find the value of m and n.
9514 1404 393
Answer:
m = 2
n = 3
Step-by-step explanation:
1125 = 9·125 = 3^2 · 5^3
m = 2
n = 3
_____
Additional comment
Using divisibility rules, you can keep dividing by the obvious factors until the quotient is 1.
1125/5 = 225
225/5 = 45
45/5 = 9
9/3 = 3
3/3 = 1 . . . . . . 5 is a factor 3 times; 3 is a factor 2 times.
Pls help me with this problem
[tex]3x - 8 = 4x - 17 \\ \\ \sf \longmapsto \: 3x + 4x = - 17 + 8 \\ \\ \sf \longmapsto \: 7x = - 9 \\ \\ \sf \longmapsto \: x = \frac{ - 9}{7} [/tex]
Which of the following answer choices correctly expresses the number 64?
A. 4'6
B. 4'5
C. 4'4
D. 4'3
Answer:
4’3
Step-by-step explanation:
Took test
Answer:
4’3
Step-by-step explanation:
