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Anit [1.1K]
3 years ago
15

What is the domain? what is the range? is it functional?

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
4 0
Domain {-4, -2, 1, 2, 4, 5}
Range {-4, -3, -2, 1, 2, 4}

It is functional.
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A scale of the Golden Gate Bridge in San Francisco Bay has
lora16 [44]

Answer:

2520ft

Step-by-step explanation:

Calculation for what is the scale of the model?

Let x will be the span length

Hence,

x= 4200 feet long/20 inches long

x=210

Thus:

1 inch = 210 ft

1 ft = 2520

=2520ft

Therefore the scale of the model will be 2520ft

3 0
3 years ago
Fernando has two equally-sized containers of clay which he is using to build a pyramid-like structure. The finished structure wi
evablogger [386]

Answer:

Fernando does not have enough clay to finish the structure since, the expressions for the volume left are not the same.

Step-by-step explanation:

Let w be the length of the longest slab. Since each slab is 2 inches less than the one beneath it, we have the width of the other 3 slabs as w - 2, w - 2 - 2 = w - 4 and w - 4 - 2 = w - 6 respectively.

Since the base of each slab is a square and has thickness 2 inches, the volume of each slab from largest to smallest is thus 2w², 2(w - 2)², 2(w - 4)² and 2(w - 6)² respectively.

We have that we have half of the container of clay left after forming the first two slabs(which are the bottom-most slabs). Let V be the volume of each clay container. Since we have half left, that is V/2, we have used 2V - V/2 = 3V/2 to make the two bottom-most slabs.

So, 3V/2 = 2w² + 2(w - 2)²

= 2w² + 2(w² - 4w + 4)

= 2w² + 2w² - 8w + 8

= 4w² - 8w + 8

= 4(w² - 2w + 2)   (1)

Also we want to know if V/2 is equal to the volume of the two top-most slabs.

So, V/2 = 2(w - 4)² + 2(w - 6)²

= 2(w² - 8w + 16) + 2(w² - 12w + 36)

= 2w² - 16w + 32 + 2w² - 24w + 72

= 4w² - 40w + 104

= 4(w² - 10w + 26)

From (1) V/2 = 4(w² - 2w + 2)/3 ≠ 4(w² - 10w + 26)

<u>Since the expressions for the remaining volume are not the same, Fernando does not have enough clay to finish the structure.</u>

4 0
3 years ago
For which of the following inequalities is x≥4 a solution.<br> x+3≥1<br> 3x≥1<br> x-3≥1
pychu [463]

Answer:

x - 3 ≥ 1

Step-by-step explanation:

Solving each of the inequalities

x + 3 ≥ 1 ( subtract 3 from both sides )

x ≥ - 2

3x ≥ 1 ( divide each inequality by 3 )

x ≥ \frac{1}{3}

x - 3 ≥ 1 ( add 3 to both sides )

x ≥ 4 ← required solution

5 0
3 years ago
Read 2 more answers
A pencil and ruler cost 1.50 together. The ruler is 1.00 more. How much is pencil
Stella [2.4K]
Ok so the solution which greenrune will (hopefully) correct


total is 1.5
p+r=1.5
rule is 1 more than pencil
r=1+p
sub 1+p for r
p+1+p=1.5
2p+1=1.5
minus 1 from both sides
2p=0.5
divide both sides by 2
p=0.25

pencil=$0.25
3 0
3 years ago
Read 2 more answers
Interger for 6(-7) + (-8).
timama [110]

6 multiplied by negative 7 would be negative 42. Negative 42 added by negative 8 would be negative 34.

5 0
3 years ago
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