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REY [17]
3 years ago
13

Please help. Cleary show what the slope and y-intercept are for each problem. An explanation would be nice, but I'm not going to

require it.

Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
6 0

Answer:

7: Slope: -2/3

8: y-intercept: (0,6)

9: Slope: -2

10: y-intercept: (0,4)

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  PLZZZZZZZ HELPP  Which ordered pair is the solution to the system of equations? {y=2x−15} {4x+3y=−5} (5, −5) (4, −7) (0, 6) (7
Sophie [7]

solution is (4, - 7 )

given the equations

y = 2x - 15 → (1)

4x + 3y = - 5 → (2)

substitute y = 2x - 15 into (2)

4x + 3(2x - 15) = - 5

4x + 6x - 45 = - 5

10x - 45 = - 5 ( add 45 to both sides )

10x = 40 ( divide both sides by 10 )

x = 4

substitute x = 4 into (1) for corresponding value of y

y = (2 × 4 ) - 15 = 8 - 15 = - 7

solution is (4, - 7 )


8 0
3 years ago
Help help math math math
Morgarella [4.7K]
The answer is x = 8

thank u
7 0
2 years ago
Read 2 more answers
2. <br> Find the area of the region bounded by the graphs of y = -x2 + 3x + 4 and y = 4. (5 points)
Kipish [7]

Answer:

4.5 sq. units

Step-by-step explanation:

area = -⅓x³+3/2 x² ] 0 to 3

= -⅓(3)³+ 3/2 (3)² -0

= -9 + 27/2

= -9 + 13.5

= 4.5 sq. units

8 0
3 years ago
Nick bought a new car.
ira [324]

Using an exponential function, it is found that it takes 5.42 years for the car to halve in value.

<h3>What is an exponential function?</h3>

A decaying exponential function is modeled by:

A(t) = A(0)(1 - r)^t

In which:

  • A(0) is the initial value.
  • r is the decay rate, as a decimal.

In this problem, the car depreciates 12% a year in value, hence r = 0.12 and the equation is given by:

A(t) = A(0)(0.88)^t.

It halves in value at t years, for which A(t) = 0.5A(0), hence:

A(t) = A(0)(0.88)^t

0.5A(0) = A(0)(0.88)^t

(0.88)^t = 0.5

\log{(0.88)^t} = \log{0.5}

t\log{0.88} = \log{0.5}

t = \frac{\log{0.5}}{\log{0.88}}

t = 5.42.

It takes 5.42 years for the car to halve in value.

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

9 0
1 year ago
Geometry, please answer question ASAP
mestny [16]

Answer:

C

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanC = \frac{opposite}{adjacent} = \frac{AB}{BC} = \frac{c}{a} , then

C = tan^{-1} (\frac{c}{a} )

7 0
3 years ago
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