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solniwko [45]
3 years ago
14

Determine the equivalent system for the given system of equations.

Mathematics
1 answer:
balandron [24]3 years ago
6 0

Answer:

B

Step-by-step explanation:

4x-5y=2 ...(1)

10x-21y=10   ...(2)

(1)+2(2)  gives

24x-47y=22

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Helppppppppppp !!!!!!!!!!!!!!!!!!!!!!
trapecia [35]
Answer: y = (1/2)x + 2

Explanation
4 0
2 years ago
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5. The shape of a dome can be modeled by the equation h = - 2 d 2 + 100 where h is the height (in feet) of the dome from the flo
klasskru [66]

Answer:

5. When the dome is 50 feet high, the distance from the center is 5 feet

6. The equation that model the price y of an x-mile long ride is given as follows;

y = 0.1×x + $3.00

7. The discriminant is < 0; The equation has no real root

8. f(3) = 68

9. The equation representing the translation of the line f(x) = 7·x + 3 down 4 units is f(x) = 7·x + 7

Step-by-step explanation:

5. The given equation for the shape of the dome is presented as follows;

h = -2·d² + 100

Where;

h = The height of the dome (in feet)

d = The distance from the center

Therefore, we have;

When h = 50, d is found as follows;

h = -2·d² + 100

50 = -2·d² + 100

50 - 100 = -2·d²

-50 = -2·d²

∴ 2·d² = 50

d² = 50/2 = 25

d = √25 = 5 feet

Therefore when the dome is 50 feet high, the distance from the center is 5 feet

6. The given rate the cab charges per mile, x = $0.10

The rate the cab charges as flat fee = $3.00

Therefore, the price, y a person traveling by cab for x miles is given by the straight lie equation as y = m·x + c,

Where;

m = the slope or rate which in this case = $0.1/hour

c = A constant term which in this case = $3.00

Therefore

y = 0.1×x + $3.00

The equation that model the price y of an x-mile long ride is y = 0.1×x + $3.00

7. The discriminant, b² - 4·a·c  of the quadratic equation is (-4)² - 4×3×6 = -56

which is < 0, the equation has no real root

8. Given f(x) = 7·x² + 5

f(3) = 7 × (3)² + 5 = 68

f(3) = 68

9. The equation representing the translation of the line f(x) = 7·x + 3 down 4 units is given as follows;

Down 4 units is equivalent to subtracting 4 from the y-coordinate value, therefore, we have;

f(x) - 4= 7·x + 3

f(x) = 7·x + 3 + 4

f(x) = 7·x + 7

The equation representing the translation of the line f(x) = 7·x + 3 down 4 units is f(x) = 7·x + 7

4 0
3 years ago
Bigger flags are used at the start of a race. How many
MAVERICK [17]

Answer:

49.45

Step-by-step explanation:

because if u take 10.10 +20.15+19.20 = 49.45

3 0
3 years ago
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Can you please help me out?
larisa86 [58]

Answer:

- 3.5229

Step-by-step explanation:

Using the rules of logarithms

logx + logy = log(xy)

log_{10} 10^{n} = n

Given

log_{10} 3 ≈ 0.4771, then

log_{10} 0.0003

= log_{10} (3 × 10^{-4} )

= log_{10} 3 + log_{10} 10^{-4}

≈ 0.4771 - 4

≈ - 3.5229 ( to 4 dec. places )

8 0
3 years ago
Side AB is 18, Side AC is 9, Side BC is 5. Find the SinA. Give your answer in fraction and decimal form.
Sladkaya [172]

Input data

In any right triangle, the sine of an angle x is the length of the opposite side (O) divided by the length of the hypotenuse (H). In a formula, it is written as 'sin' without the 'e':

\begin{gathered} \sin A=\frac{5}{18} \\ \sin A=0.277 \end{gathered}

7 0
9 months ago
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