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m_a_m_a [10]
3 years ago
7

Which of the following is not a solution of the equation y=3x−4 ?

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
6 0

Answer:

(-1, -1) is not a solution to the system

Step-by-step explanation:

Y = 3x - 4.             Substitute the points for x and y

2 = 3(2) - 4

2 = 2  solution

y = 3x - 4

-4 = 3(0) - 4

-4 = -4 solution

y = 3x - 4

8 = 3(4) - 4

8 = 8   solution

y = 3x - 4

-1 = 3(-1) - 4

-1 = -7 not solution

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A rectangle sand box has a length of 5 and 1/3 feet and a width of 3 and 3/4 feet. What is the perimeter?
Varvara68 [4.7K]

Answer:

Perimeter of rectangle = ⇒ 18\frac{1}{6} feet

Step-by-step explanation:

Given:

Length of a rectangular sand box = 5\frac{1}{3}\ feet

Width of the box = 3\frac{3}{4}\ feet

Perimeter of a rectangle = 2(l+w)

where l represents length of rectangle and w represents width of the rectangle.

Substituting values given for length and width.

Perimeter of sand box = 2(5\frac{1}{3}+3\frac{3}{4})\ feet

Simplifying by adding fractions:

⇒  2(5+3+\frac{1}{3}+\frac{3}{4})\ feet (Adding whole numbers and fractions separately)

⇒  2(8+\frac{1}{3}+\frac{3}{4}) feet

Whole number 8 can be written as \frac{8}{1}

⇒  2(\frac{8}{1}+\frac{1}{3}+\frac{3}{4}) feet

To add fractions we take LCD for the denominators 3,4,1.

LCD for 3 and 4 = 12 as its the least common multiple of 3,4,1.

Making denominators =12 by multiplying numerator an denominator with the corresponding numbers

⇒  2(\frac{8\times 12}{1\times 12}+\frac{1\times 4}{3\times 4}+\frac{3\times 3}{4\times 3}) feet

⇒  2(\frac{96}{12}+\frac{4}{12}+\frac{9}{12}) feet

Then we simply add numerators.

⇒  2(\frac{96+4+9}{12}) feet

⇒  2(\frac{109}{12}) feet

⇒  2\times \frac{109}{12} feet

⇒  \frac{218}{12} feet

Writing fraction as a mixed number by dividing 218 by 12 and writing quotient as whole number and remainder as numerator with divisor as denominator.

⇒ 18\frac{2}{12} feet

Simplifying fractions to simplest form.

⇒ 18\frac{1}{6} feet

Perimeter =⇒ 18\frac{1}{6} feet  (Answer)

5 0
3 years ago
Find a polynomial with a degree of 3 and zeros -3,3,5
Aliun [14]

Answer:

f(x) = x³ - 5x² - 9x + 45

Step-by-step explanation:

Given x = a, x = b are the zeros of a polynomial, then

(x - a), (x - b) are the factors and f(x) is the product of the factors.

Here the zeros are x = - 3, x = 3 and x = 5, thus

(x + 3), (x - 3) and (x - 5) are the factors and

f(x) = (x + 3)(x - 3)(x - 5) ← expand the first pair of factors using FOIL

     = (x² - 9)(x - 5) ← distribute

    = x³ - 5x² - 9x + 45

   

6 0
3 years ago
What are the coordinates of the midpoint of the line segment with endpoints J (-6, 3) and K (4, -2)
GarryVolchara [31]
It’s C. (-1, 0.5). you add the x coordinates and divide by two and then add the y coordinates and divide by two.
6 0
3 years ago
Read 2 more answers
Cual temperatura es mas caliente ( 25°C , 280°K ó 40°F)
Vikki [24]

Answer:

25 Celsius es igual a 77 F, 77 es mas grande que 40 F

Step-by-step explanation:

Espero que la info. ayude

El símbolo de grado no se usa para informar la temperatura usando la escala Kelvin, sino que se indican como Kelvin. El agua hierve a 100 grados Celsius o 212 grados Fahrenheit, o 373,15 Kelvins. El agua se congela a 0 grados Celsius o 32 grados Fahrenheit, o 273,15 Kelvins. El cero absoluto es 0 Kelvin.

7 0
3 years ago
What is the volume of the regular pyramid below?
Nonamiya [84]
The picture in the attached figure

we know that
volume of the regular pyramid=(1/3)*area of the base*height
area of the base=12*12-----> 144 units²
height=71 units
substitute
volume of the regular pyramid=(1/3)*144*71-----> 3408 units³

the answer is
3408 units³

8 0
4 years ago
Read 2 more answers
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