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Gnesinka [82]
3 years ago
7

Consider f(x) = 1.8x – 10 and g(x) = −4.

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
8 0

Answer:

Part 1) The equation that can be used is 1.8x-10=-4

Part 2) The input or x-value is x=10/3

Step-by-step explanation:

we have

f(x)=1.8x-10

g(x)=-4

To find the solution of the system of equations equate f(x) and g(x)

f(x)=g(x)

substitute

1.8x-10=-4 -----> equation that can be used  to find the input value at which    f (x ) = g (x )

Solve for x

Adds 10 both sides

1.8x=-4+10

1.8x=6

Divide by 1.8 both sides

x=6/1.8

Remember that

1.8=18/10

substitute

x=6/(18/10)

x=60/18

Simplify

x=10/3

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56 6 repeating when rounded to the nerest .1 is 56.7
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3 years ago
Find the height of the triangle by applying formulas for the area of a triangle and
lina2011 [118]

Answer:

Step-by-step explanation:

a= 12 mm ; b = 16 mm  ; c = 18 mm

s = (a + b+c)/2

=\dfrac{12 + 16 + 8}{2}\\\\= \dfrac{36}{2}\\\\= 18\\\\

s -a =  18 -  12 = 6 mm

s  -b = 18 - 16 = 2 mm

s  -c = 18 - 8 = 10 mm

area = \sqrt{s(s -a)(s-b)(s-c)}

       = \sqrt{18*6*2*10}\\\\= \sqrt{2160 }\\\\=46.47\\\\=46 \ mm^{2}\\

\dfrac{1}{2}* \ base * \ height = 46\\\\\dfrac{1}{2}*16* \ height = 46\\\\height = \dfrac{46*2}{16}\\\\

  = 5.75

Height = 5.8 mm

8 0
2 years ago
Read 2 more answers
Candace has $20 more than Amar. Their combined money totals $95. Write a system of equations represents this situation
STALIN [3.7K]

Answer:

Candace has $57.5 and Amar has $37.5.

Step-by-step explanation:

x+(x+20)=z

x+20=y

x+y=z

--------------

2x+20=95

2x=95-20

2x=75

x=75/2

x=37.5

37.5+20=y=57.5

5 0
3 years ago
Read 2 more answers
If x=3 then solve the equation: y=10x×10x-7×-12
NNADVOKAT [17]
The answer is y = 545. 
7 0
3 years ago
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A school debate team has four girls and six boys. A total of four of the team members will be chosen to participate in the distr
alex41 [277]
Procedure:

1) calculate the number of diferent teams of four members that can be formed (with the ten persons)
2) calculate the number of teams tha meet the specification (two girls and two boys)
3) Divide the positive events by the total number of events: this is the result of 2) by the result in 1)

Solution

1) the number of teams of four members that can be formed are:

10*9*8*7 / (4*3*2*1) = 210

2) Number of different teams with 2 boys and 2 girls = ways of chosing 2 boys * ways of chosing 2 girls

Ways of chosing 2 boys = 6*5/2 = 15
Ways of chosing 2 girls = 4*3/2 = 6

Number of different teams with 2 boys and 2 girls = 15 * 6 = 90

3) probability of choosing one of the 90 teams formed by 2 boys and 2 girls:

90/210 = 3/7
 
7 0
3 years ago
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