Use the graph that shows the solution to f(x)=g(x). f(x)=1+2x/x g(x)=2+x What is the solution to f(x)=g(x)?

Answer:

Original angle = 122*

Supplementary angle = 58*

Step-by-step explanation:

A supplementary angle is one of two angles that make up 180*

If one angle is 30*, its supplementary angle is 150*. 30 + 150 = 180.

So in this case we have two angles, the original and the supplementary angle. The original angle is 64* more than the supplementary angle. The key word is MORE.

The formula to figure it out would look like this:  x + (x + 64) = 180

x is the supplementary angle

x + 64 is the original angle (64 MORE than its supplementary angle)

180 is the total measure of the two angles because they are supplementary and we know that supplementary angles always equals 180* when added together.

Take the formula and do a little algebra.

x + (x + 64) = 180

Subtract 64 from both sides

x + x = 116

Combine the x's

2x = 116

Divide both side by 2

x = 58

Remeber we know that the original angle is 64 more than the supplementary angle, so we'll add the 64 to the value of x and we get 122.

x + 64 = 122

Check our work:

x + (x + 64) = 180

58 + 58 + 64 = 180

Given :

⠀

To Find :

⠀

Solution :

Now,

⠀

According to the Question :

⠀

[tex]\longrightarrow\qquad \sf{{x + (x + 64) {}^{ \circ} = {180}^{ \circ} }}[/tex]

⠀

[tex]\longrightarrow\qquad \sf{{x + x + 64 {}^{ \circ} = {180}^{ \circ} }}[/tex]

⠀

[tex]\longrightarrow\qquad \sf{{2x + 64 {}^{ \circ} = {180}^{ \circ} }}[/tex]

⠀

[tex]\longrightarrow\qquad \sf{{2x = {180}^{ \circ} - 64 {}^{ \circ}}}[/tex]

⠀

[tex]\longrightarrow\qquad \sf{{2x = {116}^{ \circ} }}[/tex]

⠀

[tex]\longrightarrow\qquad \sf{{x = \dfrac{{116}^{ \circ}}{2} }}[/tex]

⠀

[tex]\longrightarrow\qquad \mathfrak{\pmb{{x = {58}^{ \circ} }}}[/tex]

⠀

Therefore,

⠀

Henceforth ,

Answer:

25

Step-by-step explanation:

Answer:

answer: 361.88

Hope that helps!

Answer: 18°

Step-by-step explanation:

Complementary angles are the angles that when we add them together, the value will equal 90°.

In this question, we've to add both angles and equate them to 90°. This will be:

(2x - 4) + (5x + 17) = 90

2x - 4 + 5x + 17 = 90

Collect like terms

2x + 5x = 90 + 4 - 17

7x = 77

x = 77/7

x = 11

Angle A will be:

= (2x-4)

= 2(11) - 4

= 22 - 4

= 18°

Step-by-step explanation:

1. make the denominators the same.

10/15+3/15= 13/15

Answer:

70

Step-by-step explanation:

Ok so we first add 4.75 and 5.25. 4.75+5.25=10. So 10 hours each day so 10 x 7 = 70. 70 hours in 7 days

Answer:

i would say it is either 30 or 35

Step-by-step explanation:

7/2=3.5

so you would round it down to 3 or keep it that

and 4.75+5.25=10

3(10)=30 and 3.5(10)=35

If it's every two days.

Answer:

7234.56 km³

Step-by-step explanation:

Volume = 4/3(πr³)

Volume = 4/3(3.14 * 1728)

Volume = 4/3(5425.92)

Volume = 7234.56

Units = km³

7234.56 km³

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

[tex]8^{\frac{4}{3}} = \sqrt[3]{8^4} = \sqrt[3]{(2^3)^4} = \sqrt[3]{2^{3*4}} = 2^4 = 16[/tex]

Answer: C (16).

[tex]2\sqrt{6} - 6\sqrt{54} = 2\sqrt{6} - 2 * 3 * \sqrt{6} * \sqrt{9} = 2\sqrt{6}(1-3\sqrt{9}) = 2\sqrt{6}(1-3*3) = 2\sqrt{6}(1-9)=2*\sqrt{6}*(-8) = -16\sqrt{6}[/tex]

1.

[tex] \sqrt[3]{8^{4} } [/tex]

2.

[tex]2 \sqrt{6} - 6 \sqrt{54} \\ 2 \sqrt{6} - 6 \sqrt{9 \times 6} \\ 2 \sqrt{6} - 18 \sqrt{6} \\ - 16 \sqrt{6} [/tex]

Answer:

r = 8.5 inches

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

17 pi = 2 * pi *r

Divide each side by 2 pi

17 pi / ( 2pi) = 2 * pi r/ ( 2 pi)

17/2 = r

8.5 = r

The answer is 8.5 inches.

Answer:

6 Packs

Step-by-step explanation:

Since he needs 46 cookies, he will have to buy 46/8 which is 5.75 packs. But since the packs are sold in whole, not fractions, he buys a ceil approximation of the packs which is 6, because if he buys 5, it will not be enough.

Answer:

Step-by-step explanation:

from the pic

cos(30deg) = 4√3 / y = √3 / 2

y = 4 * 2 = 8

sin(30deg) = x/y = 1/2

x = y/2 = 8/2 = 4

ans is x = 4, y = 8

Answer:

Step-by-step explanation:

As the given triangle is a right-angled triangle,

tan(30degree) = x / (4√3) = 1/√3

x = 4

sin(30degree) = x / y = 1/2

y = 8

Answer:

Step-by-step explanation:

A fraction consists of two parts the top number and the bottom one.

Think of the top number as the count and the bottom as the size indicator. So you have:

countsize indicator −−−−−−−−−−→proper names numeratordenominator

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Consider the action example of dividing 3 into 6.

We can do this division directly because their size indicators are the same. That is, we have: 61÷31. People do not normally write it this way but it is correct.

To directly divide the counts the size indicator must be the same

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

So we need to see how many of 18 will fit into 34

We can not do this directly in one operation as the size indicators are not the same.

Lets make the size indicators (denominators) the same

Multiply by 1 and you do not change the value but

1 comes in many forms.

[34×1]÷18 → [34×22]÷18

[3×24×2]÷18 → 68÷18

Now that the size indicators (denominators) are the same we can just divide the counts (numerators)

countsize indicator→[68÷18]=6÷1=6

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

I could explain more showing the connection between this and the shortcut method but what I have shown you will do for now.

Answer:

Mean = 3.5

Step-by-step explanation:

The given data is :

4.5,5, 3.5, 2, 2.5

We need to find the mean of the given data.

We know that,

Mean = sum of observations/total no. of observations

Here,

Total no. of observations = 5

Sum of observations = 4.5 + 5+ 3.5+ 2+ 2.5 = 17.5

Mean,

[tex]m=\dfrac{17.5}{5}\\\\m=3.5[/tex]

Hence, the mean of the data set is equal to 3.5.

Answer:

x + y > 15

10x + 5y < 100

we will put it in terms of y

y > 15 - x

and

5y < 100 - 10x

y < 20 - 2x

-TheUnknownScientist

Answer:

3 x 3^6

Step-by-step explanation:

I hope this helps >3.

Which expression is not equal to the expression shown?

3³ ÷ 3⁻⁴

Let's first solve all the equations and then check which equation is not equal to equation given in question.

⇒ 3³ ÷ 3⁻⁴ = 3³⁻⁽⁻⁴⁾

⇒ 3³⁺⁴ = 3⁷ = 2,187

⇒ 3⁻³ ÷ 3⁴ = 3⁻³⁻⁴

⇒ 3⁻⁷ = 0.000457

⇒ 3 × 3⁶ = 3⁷

⇒ 3⁷ = 2,187

⇒ 3⁷ ÷ 3⁰ = 3⁷ ÷ 1

⇒ 3⁷ ÷ 1 = 2,187

⇒ 3³ × 3⁴ = 3³⁺⁴

⇒ 3⁷ = 2,187

From the calculation of above equations, We have found that only Equation 2 ( option 1 ) 3⁻³ ÷ 3⁴ is not equal to Equation 1 ( question ) 3³ ÷ 3⁻⁴

Therefore, 3⁻³ ÷ 3⁴ ≠ 3³ ÷ 3⁻⁴

Hence, Option 1 is the correct answer.

Answer:

Step-by-step explanation:

hi

Answer:

12.9x-9

Step-by-step explanation:

add 5.3x and 7.6x

Answer:

12.9x-9

Step-by-step explanation:

First you have to combine the like terms which are 5.3x + 7.6x= 12.9x. Then you just rewrite the equation 12.9x-9. You just leave the 9 by it self because there's no other like terms.

More examples -

5.3x+−9+7.6x

Combine Like Terms:

=5.3x+−9+7.6x

=(5.3x+7.6x)+(−9)

=12.9x+−

Answer:

(x+3)(x+2)

Step-by-step explanation:

f(x)=x²+5x+6=x²+2x+3x+6=x(x+2)+3(x+2)=(x+3)(x+2)

[tex] {x}^{2} + 5x + 6[/tex]

[tex] {x}^{2} + 2x + 3x + 6[/tex]

[tex]x(x + 2) + 3(x + 2)[/tex]

[tex](x + 3)(x + 2)[/tex]

[tex]S_\square = 8 * 8 = 64\\S_\triangle = \frac{ah}{2} = \frac{8*3}{2} = 4 * 3 = 12\\S = S_\square - S_\triangle = 64 - 12 = 52[/tex]

Answer: 52.

Answer:

Area of Plane Shapes-

1. Triangle Area = ½ × b × h b = base h = vertical height

2. Square Area = a2 a = length of side

Step-by-step explanation:

The surface area of a solid object is a measure of the total area that the surface of the object occupies. The mathematical definition of surface area in the presence of curved surfaces is considerably more involved than the definition of arc length of one-dimensional curves, or of the surface area for polyhedra (i.e., objects with flat polygonal faces), for which the surface area is the sum of the areas of its faces. Smooth surfaces, such as a sphere, are assigned surface area using their representation as parametric surfaces. This definition of surface area is based on methods of infinitesimal calculus and involves partial derivatives and double integration. Surface area is the total amount of space that all of the surfaces of an object take up. It is the sum of the area of all the surfaces of that object.[1] Finding the surface area of a three-dimensional shape is moderately easy as long as you know the correct formula. Each shape has its own separate formula, so you'll first need to identify the shape you’re working with. Memorizing the surface area formula for various objects can make calculations easier in the future. Here are a few of the most common shapes you might encounter.

1

Define the formula for surface area of a cube.

2

Measure the length of one side.

3

Square your measurement for a.

4

Multiply this product by six.

Answer:

The height of the arch at its center is 250/9 or about 27.78 feet.

Step-by-step explanation:

We can write an equation to model the parabolic arch.

Let the left-most point of the arch be the origin (0, 0).

Since the bridge has a span of 100 feet, the right-most point must be (0, 100).

We can use the factored form of a quadratic:

[tex]y=a(x-p)(x-q)[/tex]

Where p and q are the x-intercepts.

Our x-intercepts are x = 0 and x = 100. Hence:

[tex]y=ax(x-100)[/tex]

At a point 40 feet from the center, the height of the arch is 10 feet.

The center is x = 50. So, a point 40 feet from the center can be either x = 10 or x = 90.

So, for instance, when x = 10, y = 10. Substitute and solve for a:

[tex]10=10a(10-100)[/tex]

So:

[tex]\displaystyle a=-\frac{1}{90}[/tex]

The same value will result if we let x = 90 and y = 10.

Hence, our equation is:

[tex]\displaystyle y=-\frac{1}{90}x(x-100)[/tex]

The height of the arch at its center will be when x = 50. Hence:

[tex]y(50)=\displaystyle -\frac{1}{90}(50)((50)-100)=\frac{250}{9}\approx 27.78\text{ feet}[/tex]

Answer:

30

Step-by-step explanation:

I think I cant tell what it says

An equivalent expression of (33 x 66) - 3 is 2175.

The abbreviation PEMDAS is used to indicate the sequence of steps to be taken when resolving expressions with multiple operations. P is for "parentheses," E is for "exponents," M is for "multiplication," D is for division, A is for addition, and S is for subtraction.

Given:

We have an expression,

(33 x 66) - 3.

Solving further by using PEMDAS,

33 x 66 = 2178

Now,

(33 x 66) - 3,

= 2178 - 3

= 2175

Therefore, the solution is 2175.

To learn more about the PEMDAS;

https://brainly.com/question/36185

#SPJ2

Answer:

Ix + 2I - 5 = -(x - 1)*(x - 3)

Step-by-step explanation:

In the graph, we can see two functions a red one, f(x), and a blue one, g(x)

And the equation would be f(x) = g(x)

The red one is an absolute value function, we can see that the vertex is at x = -2 and at y = -5, and it has a slope equal to 1.

Remember that for an absolute value equation with a vertex (a, b) is:

f(x) = Ix - aI + b

Then in this case, the absolute value equation is:

f(x) = Ix - (-2)I - 5

f(x) = Ix + 2I - 5

The blue equation is a quadratic equation, with roots 1 and 3, and we can see that it opens down, so the leading coefficient is negative.

Remember that for a quadratic equation with roots a and b, with leading coefficient A is:

g(x) = A*(x - a)*(x - b)

Then in this case the quadratic equation is something like:

g(x) = -N*(x - 1)*(x - 3)

Then the equation will be something like:

f(x) = Ix + 2I - 5 = g(x) = -N*(x - 1)*(x - 3)

Ix + 2I - 5 = -N*(x - 1)*(x - 3)

The only option that has this shape is the first option (the top one) such that N = 1, then:

Ix + 2I - 5 = -(x - 1)*(x - 3)

is the correct option.

Answer:

D.

Step-by-step explanation:

You pass 3x to the other side so you get 4y = -16 - 3x

to clear y you divide both sides by 4

y = (-16-3x )/ 4

you can simplify this so it so it gives us

y = -4 - 3/4x

Answer:

2 21 degree angles

Step-by-step explanation:

An isosoles triangle has two congruent angles and every triangle's sum of interior angles equals 180 degrees. 138*2>180, so the 138 degree angle cannot be congruent to any of the other angles. Therefore:

180=138+2x

42=2x

21 degrees=x