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olya-2409 [2.1K]
4 years ago
14

Enter the value for x that makes an equation 16= -4(x-1) +4 true

Mathematics
1 answer:
lions [1.4K]4 years ago
6 0

Answer:

-2

Step-by-step explanation:

16= -4(x-1)+4

16 - 4 = -4x + 4

12 = -4x + 4

12 - 4 = -4x

8 = -4x

x = 8 ÷ -4

x = -2

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What is the 214 term in the sequence 7,10,13,16?
mixer [17]
We can figure this out using the explicit formula.

f(n)=f(1)+d(n-1)

n represents the term we are looking for.
f(1) represents the first term in the sequence, which in this case, is 7.
d represents the common difference, which in this case, is +3.

f(n) = 7 + 3(n - 1)
f(n) = 7 + 3n - 3
f(n) = 4 + 3n

Now, we can input 214 for n and solve.

f(214) = 4 + 3(214)
f(214) = 4 + 642
f(214) = 646

The 214th term in this sequence is 646.
5 0
4 years ago
2 cars c and d started to move to each other car c was 118 miles from Boston car d was 256 miles from Boston car c was going twi
Vadim26 [7]

Answer:

131.3 miles

Step-by-step explanation:

The two cars are moving from different directions. The total distance between the two cars = 118 miles + 256 miles = 374 miles.

Let us assume that the two cars meet at point O, let the distance between car c and O be d₁, the distance between car d and point O be d₂, hence:

d₁ + d₂ = 374 miles       (1)

Let speed of car d be x mph, therefore speed of car c = 2x mph (twice of car d). If it take the cars t hours to meet at the same point, hence

For car c:

2x = d₁/t

t = d₁ / 2x

For car d;

x = d₂/t

t = d₂/ x

Since it takes both cars the same time to meet at the same point, therefore:

d₁/2x = d₂ / x

d₁ = 2d₂

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Solving equation 1 and 2 simultaneously gives d₁ = 249.3 miles, d₂ = 124.7 miles

Therefore the distance from point of meet to Boston = 249.3 - 118 = 131.3 miles

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k0ka [10]

Answer:

25.13 square meters

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The formula for finding the circumference of a circle is πd or pi times the diameter

Diameter = 8 meters

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3.14 times 8 = 25.13

4 0
3 years ago
Complete the statement for the equation y =-1/2x-1/2
RUDIKE [14]

Answer:

i will answer but what do you trying to find ?

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