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3 years ago

Which number is a solution of the inequality 13.4 < b A. 17 B. 8 C. 10 D. 1

Mathematics

1 answer:

nataly862011 [7]3 years ago

7 0

Answer:

the answer is A: 17, others are all < 13.4

Step-by-step explanation:

only: 17 > 13.4, others are all < 13.4

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Express 16 as a difference of two prime numbers

sasho [114]

16 can be expressed as a difference of two prime numbers in two ways, which is:23 - 7 = 16, 19 - 3 = 16
Among the choices, 16 is expressed as (23 - 7), which is the difference of two prime numbers.

8 0

3 years ago

Write the quadratic function f(x) = (3-x)2 in standard form.

Nitella [24]

Answer:

$y = - 2x + 6$

Step-by-step explanation:

$since \: f(x) = y \\$

then the equation reads:

$y = (3 - x)2 \\ y = 6 - 2x \\$

The standard form of an quadratic function is:

$y = mx + c \\$

So the answer is:

$y = mx + c \\ y = - 2x + 6$

6 0

2 years ago

Use factor trees to find the GCF of 32, 24, and 40.

Lana71 [14]

GCF 32 24    40
^ ^   ^
  2 16 2 12    2 20
^    ^ ^
   2 8 2 6    2 10
   ^ ^ ^
   2 4 2 3    2 5
^
   2 2

(2) (2 & 3) (2 & 5)

8 0

3 years ago

The illuminance of a surface varies inversely with the square of its distance from the light source.If the illuminance of a surf

VashaNatasha [74]

Answer:

Distance between the surface and source of light will be increased by 6 meters.

Step-by-step explanation:

The illuminance of a surface varies inversely with the square of ts distance from the light source.

Let illuminance of the surface = x lumens per square meter

and distance from a light source = y meter.

Now x ∝ $\frac{1}{y^{2} }$

Or $x=\frac{k}{y^{2} }$ [k = proportionality constant]

Now we will find the value of k.

k = xy²

k = 120×(6)²

k = 4320

We have to calculate the distance of the source if illuminance of the surface is 30 lumens per square meter.

$30=\frac{4320}{y^{2}}$

y² = $\frac{4320}{30}$

y² = 144

y = √144 = 12 meters

So the source of the light will be shifted away from the surface = 12 - 6 = 6 meters.

6 0

3 years ago

Branliest offered solve the proportion 12/x=6/7 6x/4=8/12 7/x+13=4/12 y+5/y=10/8

Tju [1.3M]

12/x=6/7 answer: x=14
6x/4=8/12 answer x = 0.4444444444
7/x+13=4/12 answer x=8
y+5/y=10/8 answer y=20

6 0

3 years ago