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irina1246 [14]
2 years ago
10

K(x) k(-3) 2x^2-5x+3

Mathematics
1 answer:
valentina_108 [34]2 years ago
6 0

Answer:

When k(x) is 2x² - 5x + 3, k(-3) = 36.

Step-by-step explanation:

k(x) = 2x² - 5x + 3

Substitute the input of x.

k(-3) = 2(-3)² - 5(-3) + 3

Square -3.

k(-3) = 2(9) - 5(-3) + 3

Multiply 2 and 9.

k(-3) = 18 - 5(-3) + 3

Multiply -5 and -3.

k(-3) = 18 + 15 + 3

Add 18 and 15.

k(-3) = 33 + 3

Add 33 and 3.

k(-3) = 36.

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Which equation does NOT represent a proportional relationship between two variables with the constant of proportinality of? 1/2
Dimas [21]

Answer:

(D) y=x+\frac{1}{2}

Step-by-step explanation:

Two variables x and y are proportionally related  if they can be written in the form y=kx, where k is the constant of proportionality.

From the given options, if k=\frac{1}{2}

(B)y=\frac{1}{2}x is of the form y=kx

(C)y=\frac{3}{6}x is of the form y=kx with k=\frac{1}{2} as \frac{3}{6}=\frac{1}{2} in its lowest form.

(C)y=0.5x is of the form y=kx with k=\frac{1}{2} as 0.5=\frac{1}{2} in fractional form.

On the Contrary,

In Option D, y=x+\frac{1}{2} does not represent a proportional relationship between x and y. The constant of proportion is supposed to be a product of x.

6 0
3 years ago
PAINTING Lisa is painting a fence that is 26 feet long and 7 feet tall. A gallon of paint will cover 350 square feet. Write and
skelet666 [1.2K]
First we need to find the area of the fence, since paint covers square feet and squared units refers to area.  The area of the fence is 26 x 7, which is 182 sq ft.  If one gallon of paint will cover 350 sq ft, your proportion will look like this, with gallons of paint on top and square feet on the bottom. \frac{1}{350} = \frac{x}{182}.  Cross multiply to get 350x = 182 and x = .52, just a bit over a half of a gallon of paint.
7 0
2 years ago
PLS ANSWER ASAP!!!!!<br> Simplify 5^-4/5^3
Alekssandra [29.7K]

Answer:

None on the above.

Step-by-step explanation:

Here’s what I got:

1/5^-1.

3+(-4)=-1

5^-4/5^3 = 1/5^-1

5 0
2 years ago
A 14​-foot ladder is placed against a vertical wall of a​ building, with the bottom of the ladder standing on level ground 9 fee
timama [110]

Answer:

10.7 feet

Step-by-step explanation:

The ladder, the ground and the wall form the shape of a right angled triangle as shown in the image below.

The hypotenuse of the triangle is 14 feet (length of ladder)

The base of the triangle is 9 feet long (the distance from the base of the ladder to the wall)

We need to find the height of the triangle. We can apply Pythagoras rule:

hyp^2 = a^2 + b^2

where hyp = hypotenuse

a = base of the triangle

b = height of the triangle

Therefore:

14^2 = 9^2 + b^2\\\\196 = 81 + b^2\\\\b^2 = 196 - 81 = 115\\\\b = \sqrt{115} \\\\b = 10.7 feet

The wall reaches 10.7 feet high.

3 0
3 years ago
How to reduce into simpler terms.?
Sveta_85 [38]

Answer:

The simplest form of the fraction \frac{45}{100}  is  \frac{9}{20}.

i.e.

\frac{45}{100}=\frac{9}{20}

Step-by-step explanation:

Here are some simple observations regarding how to reduce a fraction into simpler terms:

  • A fraction is reduced to lowest or simplest terms by finding an equivalent fraction in which the numerator and denominator are as small as possible.
  • In order to reduce a fraction to lowest or simplest terms, divide the numerator and denominator by their (GCF). Note that (GCF) is also called Greatest Common Factor .

So, lets take a sample fraction and reduce into simpler terms.

Considering the fraction

\frac{45}{100}

\mathrm{Find\:a\:common\:factor\:of\:}45\mathrm{\:and\:}100\mathrm{\:in\:order\:to\:cancel\:it\:out}

\mathrm{Greatest\:Common\:Divisor\:of\:}45,\:100:\quad 5

\mathrm{Factor\:out\:}5\mathrm{\:from\:the\:numerator\:and\:the\:denominator}

45=5\cdot \:9\mathrm{,\:\quad }100=5\cdot \:20

so

\frac{45}{100}=\frac{5\cdot \:\:9}{5\cdot \:\:20}

\mathrm{Cancel\:the\:common\:factor:}\:5

     =\frac{9}{20}

Therefore, the simplest form of the fraction \frac{45}{100}  is  \frac{9}{20}.

i.e.

\frac{45}{100}=\frac{9}{20}

4 0
3 years ago
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