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olga nikolaevna [1]
3 years ago
13

Two functions are shown in the table below.

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
8 0

Answer:

(d)\ x = 4

Step-by-step explanation:

Given

f(x) = -x^2 + 4x + 12

g(x) = x + 8

Required

Find x such that: f(x) = g(x)

This gives:

-x^2 + 4x + 12 = x+8

Collect like terms

-x^2 + 4x -x + 12 -8=0

-x^2 + 3x +4 =0

Expand

-x^2 + 4x - x+4 =0

Factorize

x(x - 4) - 1(x-4) = 0

Factor out x - 1

(x- 1)(x - 4)=0

Solve:

x =1\ or\ x = 4

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manu took a loan of Rs 5000 for one year at 12%per annum compounded quarterly .How much he has to pay after one year.​
Shkiper50 [21]

Answer:

Amount pay after one year for compounded quarterly = Rs 5627.54

Step-by-step explanation:

Given as,

Manu took loan of Rs 5000 , So, Principal = Rs 5000

The rate of interest applied = 12% per annum compounded quarterly

The loan took for period of year = one

Now from the compounded method :

For compounded quarterly

Amount = principal (1 + \frac{Rate}{4\times 100})^{4\times Time}

Or, Amount = Rs 5000 (1+ \frac{12}{4\times 100})^{4}

Or, Amount = 5000 (\frac{103}{100})^{4}

Or, Amount = 5000 × 1.1255

∴ Amount = Rs 5627.54

Hence , The amount which Manu pay after one year at 12% per annum compounded quarterly is Rs 5627.54  Answer

5 0
3 years ago
It costs Edgar $2.65 one way to ride the bus to work. He uses the bus to go to and from work fourdays per week. He buys a bottle
Viktor [21]

Answer:

Ambitious

In this case, you have to multiply the price of the one way journey ($2.65) by 8 (as this is the number of individual journeys made in one week. It's gives you $21.20. As he has 1 bottle of water at $1.45 each day for four days, you have to multiply these together, giving you $5.80 You then have to add together $21.20 and $5.80, giving you $27. Therefore, it costs Edgar $27 a week

Step-by-step explanation:


8 0
3 years ago
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3*10^-1/2*10^2 standard form
Musya8 [376]
Can you like show a picture because I don’t understand what you tryna ask
6 0
3 years ago
Simplify the following math expression: 5+4(6-3)+4/2
lesantik [10]

Answer:

29

you have to solve the brackets first(6-3=3)

Then solve the division (4/2=2)

lastly the addition (5+4=9)

so we have 9×3=27

27+2=29.

3 0
2 years ago
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a walking path across a park is represented by the equation y=-2x-7. A new path will be built perpendicular to this path.The pat
jonny [76]

Answer:

The equation that represents the new path is y=(1/2)x-2

Step-by-step explanation:

step 1

Find the slope of the give line

we have

y=-2x-7

so

the slope m is equal to

m=-2

step 2

Find the slope of the perpendicular line to the given line

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal of each other

so

we have

m=-2 -----> slope of the given line

therefore

The slope of the perpendicular line is equal to

m=1/2

step 3

With m=1/2 and the point (-2,-3) find the equation of the line

y-y1=m(x-x1)

substitute

y+3=(1/2)(x+2)

y=(1/2)x+1-3

y=(1/2)x-2 -----> equation that represent the new path

8 0
3 years ago
Read 2 more answers
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