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lara [203]
3 years ago
13

Consider the function , f(x)=4x-5 what is the domain value that correspond to an output of f(x) = 11

Mathematics
1 answer:
kati45 [8]3 years ago
6 0

Answer:

x = 4

Step-by-step explanation:

given f(x) = 11 then equate f(x) = 11 and solve for x

4x - 5 = 11 ( add 5 to both sides )

4x = 16 ( divide both sides by 4 )

x = 4 ← value of x in the domain


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What is the lateral area of the pyramid
Mkey [24]

Answer:

43.75 ft²

Step-by-step explanation:

s_l = (l√(w/2)² + h²) + (w√(l/2)² + h²)

l & w become 3.5, and h becomes 6.

<em />s_l<em> </em>= (3.5√(3.5/2)² + 6²) + (3.5√(3.5/2)² + 6²)

<em>Step 1:Because this is a square pyramid, what you see above essentially becomes what you see below.</em>

<em />s_l = 2(3.5√(3.5/2)² + 6²)

<em>Step 2: Divide 3.5 by 2 to get 1.75.</em>

<em />s_l<em> </em>= 2(3.5√1.75² + 6²)

<em>Step 3: Square both 1.75 and 6 to get 3.0625 and 36 respectively.</em>

s_l = 2(3.5√3.0625 + 36)

<em>Step 4: Add 3.0625 and 36 to get 39.0625.</em>

<em />s_l = 2(3.5√39.0625)

<em>Step 5: The square root of 39.0625 is 6.25.</em>

<em />s_l<em> </em>= 2(3.5 * 6.25)

<em>Step 6: Multiply 3.5 by 6.25 to get 21.875.</em>

<em />s_l = 2(21.875)

<em>Step 7: Multiply 2 by 21.875 to get 43.75.</em>

<em />s_l = 43.75 ft²

The lateral area of this pyramid is 43.75 ft².

<em />

<em />

3 0
2 years ago
If Peter withdrew $47.27 from the bank and deposited $598, how would his bank account change? (Indicate how much his account wou
fredd [130]

Answer:

Since we do not know the balance we should start with, a general answer:

b_{new} = b_{old} + \sum_{i} d_{i} - \sum_{j} w_{j} \\

598 - 47,27 = 550,73, assuming b_old was 0$ for your example

Step-by-step explanation:

b stands for balance (old - before any deposits or withdrawals, new after all done)

d for deposits

w for withdrawals

5 0
2 years ago
Sven got a $150 gift card function A(n) 150 12.30n gives the amount of money left on the gift card after n number of visits to t
lorasvet [3.4K]

Answers:

1. The n-intercept is 12. That means after 12 visits the amount of money on the gift car is $0.  

2. The A(n)-intercept is 150. Before the visits, the amount of money on the gift car is $150.


Solution:

Amount of money on the gift card after n number of visits: A(n)=$150-$12.50 n

A(n)=150-12.50 n

1. n-intercept

A(n)=0→150-12.50 n =0

Solving for n: Subtracting 150 both sides of the equation:

150-12.50 n-150 = 0-150

-12.50 n = -150

Dividing both sides of the equation by -12.50:

(-12.50 n) / (-12.50) = (-150) / (-12.50)

n=12

The n-intercept is n=12; for n=12→A(12)=0. Point (n, A(n))=(12,0)


2. A(n) intercept

n=0→A(0)=150-12.50 (0)

A(0)=150-0

A(0)=150

The A(n) intercept is 150; for n=0→A(0)=150. Point (n, A(n))=(0,150)

8 0
3 years ago
Will mark brainliest. Please help ASAP
pantera1 [17]

Answer:

1/4000

1 milimeter on paper means 4000 in real

5 0
2 years ago
James and Bethany Morrison are celebrating their 10th anniversary by having a reception at a local reception hall. They have bud
ddd [48]

Answer: See Below

Step-by-step explanation:

Create the equation:

$34 times the number of people plus the $50 cleaning fee has to be less than or equal to $3500

Or

34p + 50 <= 3500

34p <= 3450

p <= 101.470588....

We can have a part of a person attending the reception so we have to drop the remainder/decimal. Therefore the most amount of people that can attend the party and stay within budget is 101.

7 0
3 years ago
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