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Igoryamba
3 years ago
8

Show steps to solve these systems of equations using the substitution method:

Mathematics
1 answer:
scoray [572]3 years ago
5 0
Step 1. 5x-4(-3x+5)=-3
step 2. distribute 5x+12x-20=-3
step 3. combine like terms 17x-20=-3
step 4. add 20 17x=17
step 5. divide 17 x=1
step 6. fill x in first equation y=-3(1)+5
step 7. combine y=2
x=1 y=2

step 1. fill in for y -3x-3(-5x-17)=3
step 2. distribute -3x+15x+ 51=3
step 3. combine 12x+51=3
step 4. minus 51 12x= 48
step 5. divide by 12 x= 4
step 6. fill in x to find y y=-5(4)-17
step 7. combine y=-20-17
y=-37 x=4
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Pls help to solve this ​
Marysya12 [62]

Answer:

\underline{ \underline{  \pink{\large{ \tt{ \: S \:T \: E \: P \:  -  \: BY \:  -  \: S \: T \: E \: P \: \:  E\: X\: P \: L \: A \:N\: A \: T \: I \: O \: N}}}}}:

Q. Find the range and coefficient of range of the data :

  • 100 , 200 , 400 , 600 , 900

⇾ Solution :

  • largest value ( L ) = 900 & smallest value ( S ) = 100

We know , Range is the difference between the largest and smallest value. By definition ,

1. Range = Largest value - Lowest value = 900 - 100 = \boxed{ \sf{800}}

2. Coefficient of range =\large{ \tt{ \frac{L - S}{L + S} =  \frac{900 - 100}{900 + 100 }  =  \boxed{ \tt{0.8}} }}

Q. If f ( x ) = 9x - 8x and x belong to { 0 , 4 , 3 ,5 }. Find the range.

⇾ Solution:

When x = 0 , f ( 0 ) = 9 × 0 - 8 × 0 = 0

When x = 4 , f ( 4 ) = 9 × 4 - 8× 4 = 4

When x = 3 , f ( 3 ) = 9 × 3 - 8 × 3 = 3

When x = 5 , f ( 5 ) = 9 × 5 - 8 × 5 = 5

  • Range = { 0 , 4 , 3 , 5 )

♨ Hope I helped! ♡

☃ Have a wonderful day / night ! ✎

☂ \mathfrak{Carry \: On \: Learning}

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

3 0
3 years ago
Consider the density curve below. A density curve is plotted on an x y coordinate plane. The curve is a diagonal line segment wh
Komok [63]

Answer:

0.625

Step-by-step explanation:

1/2(.5+.75)(1)

6 0
3 years ago
Read 2 more answers
Show ALL your work. @100 POINTS + BRAINLYEST + 5 STARS AND LIKE<br><br>Find MG. ∆EGF~∆EML.
Afina-wow [57]

Answer:

MG = 56

Step-by-step explanation:

The triangles EML and EGF are similar thus the ratios of corresponding sides are equal, that is

\frac{EM}{EG} = \frac{EL}{EF} , and substituting values

\frac{16}{5x+2} = \frac{28}{126} ( cross- multiply )

28(5x + 2) = 2016 ( divide both sides by 28 )

5x + 2 = 72 ( subtract 2 from both sides )

5x = 70 ( divide both sides by 5 )

x = 14

Thus

EG = 5x + 2 = 5(14) + 2 = 70 + 2 = 72

Hence

MG = EG - EM = 72 - 16 = 56

4 0
3 years ago
What is the circumference of a circle with an area of 50.24? Use 3.14 for pi.
kow [346]

Answer:

The answer is 200.96 cm^2.

2*3.14*r=50.24

=>r=50.24/6.28

=>r=8 cm

Thus area = 3.14*r*r

= 3.14*8*8

=200.96 cm^2

Step-by-step explanation:

4 0
4 years ago
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