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Nat2105 [25]
3 years ago
14

F(x) = 4x + 3. f(5) = 23. Which number is the input?

Mathematics
1 answer:
kolezko [41]3 years ago
6 0

Answer:

B. 5 is the input

Step-by-step explanation:

f(x) = 4x + 3        f(5) = 23             Plug in 5 for x.

f(x) = 4(5) + 3

f(x) = 20 + 3

f(x) = 23

B. 5 is the input

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The picture shows the graphs of the functions expressed by a formula of the following type: y = kx + b.
ollegr [7]

Answer:

line 1: y= 1x+ 2

line 2: y= -1x-0.5

(usually 1 is omitted but I added for clarity)

Step-by-step explanation:

slope (x)= yfinal-yintial/xfinal-xinitial

b= where line intersects y axis

line 1:  (-1,0), (0.5,1.5)

(1.5-0)/(0.5-(-1))

(1.5)/(1.5)

slope= 1x

y=x+ 2

line 2: (-0.5,0), (0.5,-1)

(-1-0)/(0.5-(-0.5))

(-1)/(1)

slope= -1x

y=-x-0.5

7 0
3 years ago
Read 2 more answers
Place the decimal point in the answer to make it correct. Explain your reasoning. 3.9853X8.032856 = 32013341.
horsena [70]
<span>1.       </span><span>The Given problem is to find where to place the decimal point to the product shown below.
3.9853 x 8.032856, notice that the given equation are decimal numbers with both ones place value of the whole number.
Now, given the answer 32013341 without decimal point, let’s find where to put the decimal point.
=> 3.9853 x 8.032856
=> 32.013341
Thus, the decimal point is now located after the 2nd number.  We now have 2 whole numbers with value of tens.

 </span>



5 0
3 years ago
The distance between points (1, 1) and (4, 7) is 6.71. is it true or false
svet-max [94.6K]
To determine whether the statement is true or false, we need to calculate for the distance of the two points. To do this, we can use the pythagorean theorem as follows:

d = √[(y2-y1)^2 + (x2-x1)^2]
d = √[(7-1)^2 + (4-1)^2]
d = √[(6)^2 + (3)^2]
d = 2√13 = 7.21

Therefore, the statement is false.
3 0
3 years ago
A manufacturer wants to construct a box whose base length is 4 times the base width. The material to build the top and bottom co
Nitella [24]

Answer:

width = 1.77845 ft

length = 7.1138 ft

height = 5.691 ft

total cost = $759.09

Step-by-step explanation:

volume = length x width x height

length = 4 width

base of the rectangle = 4 x 1 w = 4w²

72 (volume) = 4w²h

18 = w²h

f(c) = (2 x 4w² x $10) + (2 x wh x $5) + (2 x 4wh x $5)

f(c) = 80w² + 10wh + 40wh

f(c) = 80w² + 50wh

since we need only 1 variable (width), we have to substitute h:

h = 18/w²

f(c) = 80w² + 50w(18/w²) = 80w² + 900/w

f'(c) = 160w + 900/w²

0 = (160w³ + 900)/w²

0 = 160w³ + 900

0 = 20(8w³ + 45)

0 = 8w³ + 45

8w³ = -45

w³ = -45/8

w = ∛-45/8 = -1.77845 and 1.77845

since w cannot be negative, then it must be 1.77845

6 0
3 years ago
Share $72 in the ratio 5:4
nignag [31]

Answer:

Step-by-step explanation:

Let ratio be x

$72=5x+4x

$72=9x

X=$72/9=$8

Required share=5×$8=$40

And 4×$8=$32

4 0
2 years ago
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