Solve for x.
5(х – 10) = 30 — 15х
x = 1
x = 4
х = 5
х = 8

Answer:

Each face of an octahedron is an equilateral triangle. An octahedron is a three-dimensional solid (polyhedron) that has eight faces.

Step-by-step explanation:

Please mark brainliest and have a great day!

Answer:

Step-by-step explanation:

^3√x is improperly formed.  I'd guess you meant "the third root of x," which looks like ∛x.  Note that Brainly's workspace has built-in math symbols.  Try them out by clicking on the Greek letter omega (below).

The domain of f(x) = ∛x is "all real numbers."

Answer:

the domain is the "All real numbers"

First option is correct.

Step-by-step explanation:

We have been given the function [tex]f(x)=\sqrt[3]{x}[/tex]

Domain is the set of x values for which the function is defined.

Here, for the given function, we can take any x values. For each real values of x, the cube root function is defined.

Therefore, the domain is the "All real numbers"

First option is correct.

Answer:

fragrance A $26

fragrance B $24

Fragrance A has the greater unit rate

Step-by-step explanation:

To find the price of fragrance A , take the price and divide by the number of bottle

$78/3 bottles = $26 per bottle

To find the price of fragrance A , we can look at the graph and find the price for 1 bottle on the x axis and go up until we hit the red line.  The value of y is 24 dollars

If the functions f(x) = 7 + 4x and g(x) =1/2x then the value of  (f/g)(5) is 270, option D is correct.

A relation is a function if it has only One y-value for each x-value.

The given functions are f(x) = 7 + 4x and g(x) =1/2x

We have to find the value of (f/g)(5)

We know that from properties of functions

(f/g)(a)=f(a)/g(a)

So let us find f(5) and g(5)

f(5)=27

g(5)=1/10

(f/g)(5)=27/(1/10)

=27×10

=270

Hence, if the functions f(x) = 7 + 4x and g(x) =1/2x then the value of  (f/g)(5) is 270, option D is correct.

To learn more on Functions click:

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The sum of the interior triangles in a triangle is 180, so if we add all the angle measures together, we should get 180. Therefore, we can make an equation like this,

[tex]110-2x+x+50+5x-40=180[/tex]

Simplify this.

[tex]4x+120=180[/tex]

[tex]4x=60[/tex]

[tex]x=15[/tex]

Now we can find each angle measure.

[tex]110-2x[/tex]

[tex]110-2(15)[/tex]

[tex]110-30[/tex]

[tex]80[/tex]

[tex]x+50[/tex]

[tex]15+50[/tex]

[tex]65[/tex]

[tex]5x-40[/tex]

[tex]5(15)-40[/tex]

[tex]75-40[/tex]

[tex]35[/tex]

So the angle labeled [tex]110-2x[/tex] is the largest angle in the triangle.

Answer:

x=15

biggest angle is 110-2x

Step-by-step explanation:

Answer:

y = -20

Step-by-step explanation:

5 + y = -15

Subtract 5 from both sides to isolate y.

y = -15 - 5

y = -20

Hello!

Answer:

[tex]\boxed{y=-20}\checkmark[/tex]

The answer should have a negative sign.

Step-by-step explanation:

First, you switch sides.

[tex]y+5=-15[/tex]

Then, you subtract by 5 both sides.

[tex]y+5-5=-15-5[/tex]

Finally, you simplify.

[tex]-15-5=-20[/tex]

[tex]y=-20[/tex], which is our answer.

Hope this helps!

Thanks!

Have a nice day! :)

-Charlie

For this case we have a function of the form [tex]y = f (x)[/tex], where:

[tex]f (x) = - x ^ 2 + 1[/tex]

We must evaluate the function for [tex]x = -3[/tex]

Then we have to replace:

[tex]f (-3) = - (- 3) ^ 2 + 1\\f (-3) = - 9 + 1[/tex]

Different signs are subtracted and the sign of the major is placed:

[tex]f (-3) = - 8[/tex]

ANswer:

[tex]f (-3) = - 8[/tex]

Answer:

Law of Cosines

Angle A = 45°

Angle B = 51°

Angle C = 84°

Step-by-step explanation:

Law of sines is used when we are given

a) two angles and one side or

b) two sides and non-included angle

Law of cosines is used when we are given

a) three sides or

b) two sides and included angle

In the given question we are given three sides so, Law of Cosines will be used to solve the triangle.

Law of Cosines is:

[tex]a^2 = b^2 + c^2 -2bccos A\\b^2 = a^2 + c^2 -2accos B\\c^2 = a^2 + b^2 -2abcosC[/tex]

We will find the three angles A ,B and C of the triangle using above formula.

a= 10, b=11, c=14

Putting values and finding angle A

[tex]a^2 = b^2 + c^2 -2bccos A\\(10)^2 = (11)^2 + (14)^2 -2(11)(14)cosA\\100 = 121 + 196 -308cosA\\100 = 317 -308 cosA\\100-317 = -308cosA\\-217/-308  = cos A\\0.704 = cos A\\=> A = cos ^{-1}(0.704)\\A= 45[/tex]

Now finding angle B

[tex]b^2 = a^2 + c^2 -2ac cos B\\(11)^2 = (10)^2 + (14)^2 - 2(10)(14)cosB\\121 = 100+196 - 280cosB\\121 -296 = -280cosB\\-175/-280 = cosB\\0.625 = cosB\\=> B = cos^{-1} (0.625)\\B = 51[/tex]

Now finding angle C

[tex]c^2 = a^2 + b^2 -2abcosC\\(14)^2 =(10)^2 + (11)^2 -2(10)(11)cosC\\196 = 100+121 -220cosC\\196 -221 = -220cosC\\-25/-220 = cos C\\0.11 = cosC\\=> C = cos^{-1}(0.11)\\C= 84[/tex]

Answer:

Law of Cosines; A ≈ 45.2°, B ≈ 51.3°, C ≈ 83.5°

Step-by-step explanation:

First you must bring 6 to the other side of the equation so it equals zero. To do this subtract 6 to both sides

20p^2+33p+16 - 6=6​ - 6

20p^2+33p+10=0

Use the quadratic equation to solve this (image of the quadratic equation is below)

Remember that quadratic functions are set up like so:

[tex]ax^{2} +bx +c = 0[/tex]

That means that in this equation...

a = 20

b = 33

c = 10

^^^Plug these numbers into the quadratic equation and solve...

[tex]\frac{-33+/-\sqrt{(33)^{2}-4(20)(10)}}{2(20)}[/tex]

[tex]\frac{-33 +/-\sqrt{1089-800}}{40}[/tex]

[tex]\frac{-33+/-\sqrt{289} }{40}[/tex]

[tex]\frac{-33+/-17}{40}[/tex]

Keep in mind that +/- is ±

[tex]\frac{-33+17}{40}[/tex] ---> -2/5 ---> -0.4

[tex]\frac{-33-17}{40}[/tex] ---> -5/4 ---> - 1.25

Hope this helped!

~Just a girl in love with Shawn Mendes

[tex]\bf \cfrac{\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}{\underset{4}{\begin{matrix} 8 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}}\times \cfrac{\stackrel{1}{\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}}{\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}\implies \cfrac{1}{4}[/tex]

[tex]4\cdot3\cdot2=24[/tex]

Answer:

A) No B) The relation f(8) C) x = 3

Step-by-step explanation:

A) In mathematics, a function is a relation between sets that associates to every element of a first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers.

B) Lets name the upper table outputs "g(x)", so

[tex]g(8) = 8 \: \: and \: \: f(8) = 8 \times 8 - 5 = 64 - 5 = 59[/tex]

[tex]\: 59 > 8 \: \: therefore \: \: f(8) > g(8)[/tex]

C)

[tex]f(x) = 19 \: \: and \: \: f(x) = 8x - 5 \\ 8x - 5 = 19 \\ 8x = 19 + 5 \\ 8x = 24 \\ x = 24 \div 8 \\ x = 3[/tex]

Answer:

C. Third option

Step-by-step explanation:

C is the correct answer, because linear function describes a function in which the y values form a geometric sequence.

Hope this helps!

Answer:

f(1) = 1

Step-by-step explanation:

A function can have only one value of y for a given value of x.

Thus, if f(1) = 5, we cannot have f(1) = 1.

We can have f(2) =1 and f(5) = 5, because these are values of y for different values of x,

The first diagram below is the graph of a function, because there is only value of y that corresponds to a given value of x.

The second diagram is not the graph of a function, because there are two values of y that correspond to a given value of x.

However, the top semicircle and the bottom semicircle separately are graphs of functions, because they each have only value of y that corresponds to a given value of x.

Final answer:

The statement that could not be true for a function f(x) where f(1) = 5 is any claim that f(x) takes a different value than 5 for any x within the domain [0, 20], where f(x) is described as a horizontal line. Therefore, if f(1) = 5, it must be true that f(x) = 5 for all x in [0, 20].

Explanation:

If f(x) is a function and f(1) = 5, then it indicates that when we input 1 into the function f, we get the output of 5. The question asks which statements could not be true based on this piece of information and additional details regarding the nature of function f. The provided information suggests that the graph of f(x) is horizontal for 0 ≤ x ≤ 20, which means the output value of f(x) is the same for any input value x within that domain.

Likewise, we can determine some possible characteristics of f(x) based on the nature of continuous functions. Adding a constant to f does not affect the derivative, so despite the value of f at x = 1 being 5, we cannot deduce the exact form of f but can infer its behavior around that point. It is essential to note that when a function is defined as a continuous horizontal line within a certain domain, its value is constant across that domain. As a result, if f(1) = 5 for the function f(x) = a horizontal line on the interval [0, 20], it implies that f(x) must be 5 for all x in that interval.

Therefore, any statement that implies the function has a different value than 5 for any x in [0, 20] cannot be true. For instance, if there were a claim that f(2) ≠ 5 or that f(x) is not defined for some x within the interval where it is supposed to be a horizontal line, such a statement would be false given the function's described behavior.

The correct answer would be C. 2x^2+7x-4. Hope this helps! :)

Answer:

B.  44.2 cm3

Step-by-step explanation:

we know that

If the cross-sectional area parallel to the bases of the two figures above is the same at every level

then

the area of the base of the triangular pyramid is the same that the area of the base of the cone

step 1

Find the area of the base of the pyramid

[tex]A=(1/2)[6*4.8]=14.4\ cm^{2}[/tex]

step 2

Find the volume of the cone

The volume of the cone is equal to

[tex]V=\frac{1}{3}Bh[/tex]

we have

[tex]B=14.4\ cm^{2}[/tex]

[tex]h=9.2\ cm[/tex]

substitute

[tex]V=\frac{1}{3}(14.4)(9.2)[/tex]

[tex]V=44.2\ cm^{3}[/tex]

Answer:

0.500.

Step-by-step explanation:

f(x) = 1/16 ^ 1/4

Now 16 ^1/4 = ⁴√16

= 2

so f(x) = 1/2

= 0.500.

Answer:

$2,615 i did the math

Answer:

D Subtraction Property of Equality

Step-by-step explanation:

Whenever we subtract the same number of expression from both sides of the equation, the equality remains the same.

Reason A.  - Consecutive Interior Angles

Reason B.  - Substitution Property of Equality

Reason C.  - Subtraction Property of Equality

The Property of equality that accurately completes Reason B in the figure and flowchart proof is the Addition Property of Equality (A).

The property of equality that accurately completes Reason B in the figure and flowchart proof is the Addition Property of Equality (A).

The Addition Property of Equality states that if you add the same number to both sides of an equation, the equality is still preserved. In other words, if A + B = B + A, you can add the same number to both sides to obtain A + B + C = B + A + C, where C is any number.

In the given figure and flowchart proof, the equation A + B = B + A represents the Addition Property of Equality, and by applying this property, we can conclude that Reason B should be completed with the Addition Property of Equality (A).

Answer:

The equation can be written as

x+3y=6

To graph, you need to create a table for values of x with corresponding values of y that satisfy the equation

Sample points that solve the equation could be;

(-3,3),(3,1) and (-9,5)

From the graph attached, the three points are;

Answer:

x=6

Step-by-step explanation:

2x+4=16

-4       -4

2x+4-4=16-4

2x=12

/2   /2

2x/2=12/2

x=6

Answer:

x=6

Step-by-step explanation:

2x+4 = 16

Subtract 4 on each side

2x+4-4 = 16-4

2x = 12

Divide each side by 2

2x/2 = 12/2

x = 6

Answer:

11.59 units²

Step-by-step explanation:

Step 1 : Determine radius

From reading the graph, looks like the radius is approx 3.2 units

Alternatively,  calculate the radius:

the height of the triangle AOB = 1 unit, 1/2 base of triangle AOB = 3 units.

Using Pythagorean theorem, hypotenuse OB of a right angle triangle,

= √(1² + 3²) = √10 = 3.16 (pretty close to our estimate above)

Area of major sector,

= [tex]\frac{210}{360}[/tex] * area of full circle

= [tex]\frac{210}{360}[/tex] * 2πr

= [tex]\frac{210}{360}[/tex] * 2π (3.16)

= 11.59 units²

Answer:

33?

Step-by-step explanation:

Answer:

Step-by-step explanation:

We are given:

2x + 5 - 3x = 8(x + 1)

We can start with several things. First, we can combine the x terms on the left side of the equation, and apply the distributive property on the right side of the equation.

5 - x = 8x + 8

Now, we can add x to both sides, and subtract 8 from both sides to isolate the variable.

5 - x = 8x + 8

-8 + x  + x -8

We end up with:

9x = -3

By dividing both sides by 9, we get x = [tex]-\frac{1}{3}[/tex].

If you want to check your answer, just plug x in!

2([tex]-\frac{1}{3}[/tex]) + 5 - 3([tex]-\frac{1}{3}[/tex]) = 8([tex]-\frac{1}{3}[/tex] + 1)

[tex]-\frac{2}{3}[/tex] + 5 + 1 = [tex]-\frac{8}{3}[/tex] + 8

[tex]-\frac{2}{3}[/tex] + [tex]\frac{18}{3}[/tex] = [tex]-\frac{8}{3}[/tex] + [tex]\frac{24}{3}[/tex]

[tex]\frac{16}{3}[/tex] = [tex]\frac{16}{3}[/tex]

As you can see, [tex]\frac{16}{3}[/tex] = [tex]\frac{16}{3}[/tex] as a result of having x = [tex]-\frac{1}{3}[/tex].

First you must distribute the 8 to the numbers inside the parentheses

2x + 5 - 3x = 8 (x + 1)

2x + 5 - 3x = 8*x + 1*8

2x + 5 - 3x = 8x + 8

Now you must combine like terms (let's first start with the like terms on the left side). This means the numbers with the same variables must be combined...

-3x + 2x = -x

so...

-x + 5 = 8x + 8

Now you must combine like terms by combining -x with 8x. To do this first add 1x to both sides (what you do on one side you must do to the other). Since x is negative on the left side, addition (the opposite of subtraction/negative) will cancel it out (make it zero) from the left side and bring it over to the right side.

-x + x + 5 = 8x + x + 8

0 + 5 = 9x + 8

5 = 9x + 8

Now bring 8 to the left side by subtracting 8 to both sides (what you do on one side you must do to the other). Since 8 is being added on the right side, subtraction (the opposite of addition) will cancel it out (make it zero) from the right side and bring it over to the left side.

5 - 8 = 9x + 8 - 8

-3 = 9x

Next divide 9 to both sides to finish isolating x. Since 9 is being multiplied by x, division (the opposite of multiplication) will cancel 9 out (in this case it will make 9 one) from the right side and bring it over to the left side.

-3/9 = 9x/9

x = [tex]\frac{-1}{3}[/tex]

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

See explanation

Step-by-step explanation:

ASA Postulate (Angle-Side-Angle):

If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

Consider triangles XYB and ZYA. In these triangles

By ASA Postulate, triangles XYB and ZYA are congruent. Congruent triangles have congruent corresponding sides, so

BX≅AZ

[tex]\rm \overline{AZ} \cong \overline{BX}[/tex]

Please refer the below solution.

Step-by-step explanation:

Given :

[tex]\rm \angle X \cong \angle Z[/tex][tex]\rm \angle Y \;is\;common[/tex]

[tex]\rm \overline{XY} \cong \overline{ZY}[/tex]

Solution :

According to ASA (Angle Side Angle) postulate:

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then both the triangles are congruent.

Now, consider triangle XBY and ZAY

[tex]\rm \angle X \cong \angle Z[/tex]

[tex]\rm \overline{XY} \cong \overline{ZY}[/tex]

[tex]\rm \angle Y \; is \; common[/tex]

According to ASA postulate triangle XBY and ZAY are congruent. And congruent triangles have congruent corresponding sides, therefore

[tex]\rm \overline{AZ} \cong \overline{BX}[/tex]

For more information, refer to the link given below

https://brainly.com/question/10629211?referrer=searchResults

Answer:

5

Step-by-step explanation:

Answer:

the answer is five

Step-by-step explanation:

because

Answer:

36° and 54°

Step-by-step explanation:

We are given that one of the small angles of a right angled triangle is 18 less than twice the measure of the other small angle.

We are to find the measure of both angles.

Assuming [tex]x[/tex] to be the other small angle, 8 less than twice the measure of the other small angle = [tex]2x-18[/tex].

Summing all three angles up ti get:

[tex]x+(2x-18)+90=180[/tex]

[tex]3x=180-90+18[/tex]

[tex]3x=108[/tex]

[tex]x=\frac{108}{3}[/tex]

x = 36°

So other angle will be [tex]2(36)-18=[/tex] 54°.

Answer:

36° and 54°

Step-by-step explanation:

let x be one of the smaller angles, then the other smaller angle is 2x - 18 ( 18 less than twice the other )

Since it is a right triangle then the sum of the 2 smaller angles equals 90, so

x + 2x - 18 = 90

3x - 18 = 90 ( add 18 to both sides )

3x = 108 ( divide both sides by 3 )

x = 36

One angle = 36°

the other angle = (2 × 36) - 18 = 72 = 18 = 54°

ANSWER

[tex]w = 50.5[/tex]

[tex]l = 88.5[/tex]

EXPLANATION

The basketball court has a rectangular shape.

The perimeter of this court is calculated using the formula

[tex]P=2(l + w)[/tex]

It is given that,the court has a perimeter of 278ft. Let the width of the court be 'w' units, then the length is "w+38"

The perimeter then becomes:

[tex]2(w + 38+ w) = 278[/tex]

[tex]2w + 38= 139[/tex]

[tex]2w = 139 - 38[/tex]

[tex]2w = 101[/tex]

[tex]w = 50.5[/tex]

[tex]l = 50.5 + 38 = 88.5[/tex]

Check

[tex]P = 2(88.5 + 50.5)[/tex]

[tex]P = 2(139) = 278[/tex]