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2 years ago

10

Click on the graphic to match the equation with its correct graph. y = - x

1 answer:

Lana71 [14]2 years ago

3 0

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The graph of the given equation can be drawn as shown below.

<h3>What is the equation of a line?</h3>

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is constant.

The graph of the given equation can be drawn as shown below.

Learn more about Equation of Line:

brainly.com/question/21511618

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What is 3/4(x2+4x+6)=13x-2

maxonik [38]

Answer:

$x_1=12.65\\\\x_2=0.685$

Step-by-step explanation:

$\frac{3}{4}(x^2+4x+6)=(13x-2)\\\\Multiply\ both\ sides\ by\ 4.\\\\3(x^2+4x+6)=4(13x-2)\\\\3x^2+12x+18=52x-8\\\\3x^2+12x+18-(52x-8)=0\\\\3x^2+12x-52x+18+8=0\\\\3x^2-40x+26=0$

Roots of Polynomial:

$Roots\ are\ polynomial\ ax^2+bx+c=0\\\\x=\frac{-b\pm \sqrt{(b^2-4ac)}}{2a}$

$Here\ a=3,\ b-40,\ c=26\\\\x=\frac{-(-40)\pm \sqrt{(-40)^2-4\times 3\times 26}}{2\times 3}\\\\x=\frac{40\pm\sqrt{1288}}{6}\\\\x_1=\frac{40+\sqrt{1288}}{6}\approx 12.65\\\\x_2=\frac{40-\sqrt{1288}}{6}\approx 0.685$

6 0

3 years ago

Which statement about the quadratic equation below is true?

dmitriy555 [2]

H the equation has x = 4 and x = -4 as it’s only solutions is true

3 0

3 years ago

Read 2 more answers

Are vertical asymptotes determined by inspecting the numerator of a rational equation

Luden [163]

Hello!

Sadly no, vertical asymptotes are determined by setting the denominator of a rational function to zero and then by solving for x.

3 0

3 years ago

im's uncle is 4 times as old as his nephew Jim. In 10 years, Jim's uncle age will be 20 years more than twice Jim's age. How old

faltersainse [42]

Answer:

15 years old.

Step-by-step explanation:

Let Jim's age now be one unit (1u).

His uncle's age now is then 4 units.

Jim's age in 10 years = 1u + 10

Jim's uncle's age in 10 years = 4u + 10

In 10 years, Jim's uncle's age will be 20 years more than twice Jim's age.

Twice Jim's age =

$2(1u + 10) = 2u + 20$

Since Jim's uncle's age is 20 years more than this, we can say that his uncle's age is equal to

$2u + 20 + 20$

which is equal to

$2u + 40$

We found out that Jim's uncle's age in 10 years is 4u+10. Hence

$4u + 10 = 2u + 40$

We subtract 10 from both sides:

$4u = 2u + 30$

Therefore

$2u = 30$

and one unit is 15. Hence, Jim's age now is 15.

7 0

3 years ago

Law of radicals

andrey2020 [161]

Answer:

1) $\sqrt{x^7}=x^{\frac{7}{2}$

2) $\sqrt[3]{y^5}=y^{\frac{5}{3}$

3) $\sqrt[5]{a^{12}}=a^{\frac{12}{5} }$

4) $\sqrt[4]{z^{9}}=z^\frac{9}{4}$

Step-by-step explanation:

1) $\sqrt{x^7}$

We know that $\sqrt{x}=x^{\frac{1}{2}$

So, $\sqrt{x^7}=x^{\frac{7}{2}$

2) $\sqrt[3]{y^5}$

We know that $\sqrt[3]{x}=x^{\frac{1}{3}$

So, $\sqrt[3]{y^5}=y^{\frac{5}{3}$

3) $\sqrt[5]{a^{12}}$

We know that $\sqrt[5]{x}=x^{\frac{1}{5}$

So, $\sqrt[5]{a^{12}}=a^{\frac{12}{5} }$

4) $\sqrt[4]{z^{9}}$

We know that $\sqrt[4]{x}=x^{\frac{1}{4}$

So, $\sqrt[4]{z^{9}}=z^\frac{9}{4}$

6 0

4 years ago