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8090 [49]
3 years ago
11

Which expression is equivalent to 4(5 - 2D)​

Mathematics
1 answer:
expeople1 [14]3 years ago
6 0

Answer:20-8D, if that is an option

Step-by-step explanation:

You might be interested in
50 Points!
Advocard [28]
Well, 50 points total given, 25 points per user  and 13 bonus for brainliest

anyway


1.
add them equations, the y's will cancel
x+2y=4
<span>3x-2y=4 +</span>
4x+0y=8

4x=8
divide by 4 both sides
x=2
sub back
x+2y=4
2+2y=4
minus 2
2y=2
divide 2
y=1
x=2
y=1
(x,y)
(2,1) is solution


2.
the solution is where they intersect
multiply 2nd equation by 2 and add to first
4x-14y=6
<span>-4x+14y=-6 +</span>
0x+0y=0
0=0
infinite solutions

that is because they are actually the same line
the solutions are (x,y) such that they satisfy -2x+7y=-3 or 4x-14y=6 (same equaiton)
infinite solutions



3.
multiply first equation by 2 and add to first
4x+2y=-6
<span>1x-2y=-4 +</span>
5x+0y=-10

5x=-10
divide by 5 both sides
x=-2
sub bac
x-2y=-4
-2-2y=-4
add 2
-2y=-2
divide by -2
y=1

x=-2
y=1
(x,y)
(-2,1)


4.
coincident means they are the same line
so

we see that we have to multiply 4 by 2 to get 8
multiply top equation by 2
8x+10y=16
8x+By=C
B=10 and C=16


5.
a. false, either 0, 1, or infinity solutions
change the word 'two' to 'one' or 'zero' or 'infinite', or change 'can' into 'can't'

b.false
 'sometimes' to 'always'

c. true

d. false, change 'sometimes' to 'always'


EC
total cost=150
TC=childC+adultC
TC=3c+5a
150=3c+5a


40 tickets, c+a
40=c+a

the equations are
150=3c+5a and
40=c+a

eliminate
multiply 2nd equaton by -3 and ad to first one

150=3c+5a
<span>-120=-3c-3a +</span>
30=0c+2a

30=2a
divide by 2
15=a

sub back
40=c+a
40=c+15
minus 15
25=c

25 children tickets and 15 adult tickets were sold


ANSWERS:

1.
(2,1) is solution

2.
infinite solutions

3.
(-2,1)

4.
B=10 and C=16

5.
a. false,
change the word 'two' to 'one' or 'zero' or 'infinite', or change 'can' into 'can't'

b.false
 'sometimes' to 'always'

c. true

d. false, change 'sometimes' to 'always'

EC
the equations are
150=3c+5a and
40=c+a
25 children tickets and 15 adult tickets were sold
7 0
3 years ago
Read 2 more answers
A random sample of ten professional athletes produced the following data where x is the number of endorsements the player has an
lukranit [14]

ŷ= 1.795x +2.195 is the equation for the line of best fit for the data

<h3>How to use regression to find the equation for the line of best fit?</h3>

Consider the table in the image attached:

∑x = 29,  ∑y = 74, ∑x²= 125, ∑xy = 288,  n = 10 (number data points)

The linear regression equation is of the form:

ŷ = ax + b

where a and b are the slope and y-intercept respectively

a = ( n∑xy -(∑x)(∑y) ) / ( n∑x² - (∑x)² )

a  = (10×288 - 29×74) / ( 10×125-29² )

  = 2880-2146 / 1250-841

  = 734/409

  = 1.795

x' =  ∑x/n

x' = 29/10 = 2.9

y' = ∑y/n

y' = 74/10 = 7.4

b = y' - ax'

b = 7.4 - 1.795×2.9

  = 7.4 - 5.2055

  = 2.195

ŷ = ax + b

ŷ= 1.795x +2.195

Therefore,  the equation for the line of best fit for the data is ŷ= 1.795x +2.195

Learn more about regression equation on:

brainly.com/question/29394257

#SPJ1

3 0
1 year ago
Help on how to figure this out
MakcuM [25]
6/3 = 6 divided by 3
= 2

12/6= 12 divided by 6
= 2

3 0
3 years ago
What would be 12% of 40
weeeeeb [17]

Hello,

Answer:

4,8

Step-by-step explanation:

<u>what would be 12% of 40 ? </u>

12% × 40 = 12/100 × 40 = 0,12 × 40 = 4,8

3 0
2 years ago
Sales tax in one state is 9%. What is the amount of tax on a $30.95 purchase?
Mars2501 [29]

Answer:

27850

Step-by-step explanation:

9/100 = x/30.95

9 x 30.95 = 278.5

278.5 x 100

3 0
3 years ago
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