solve for a 3a−(10+5a)=54

Answer:

[tex]x=\pm \sqrt{3}[/tex]

Step-by-step explanation:

Consider the given polynomial is

[tex]P(x)=x^2-3[/tex]

We need to find the zeros of the given polynomial.

Now,

[tex]P(x)=0[/tex]

[tex]x^2-3=0[/tex]

Add 3 on both sides.

[tex]x^2=3[/tex]

Taking square root on both sides.

[tex]x=\pm \sqrt{3}[/tex]

Therefore, zeros of the polynomial P(x) are [tex]-\sqrt{3} \text{ and }\sqrt{3}[/tex].

To verify the relationship, put [tex]x=\sqrt{3}[/tex] in P(x).

[tex]P(\sqrt{3})=(\sqrt{3})^2-3=3-3=0[/tex]

Put [tex]x=-\sqrt{3}[/tex] in P(x).

[tex]P(-\sqrt{3})=(-\sqrt{3})^2-3=3-3=0[/tex]

Since P(x)=0 for both values, therefore relationship verified.

Answer:

102.88 m

Step-by-step explanation:

Pythagorean Theorem:

a²+b²=c²

48²+91²=c²

2304+8281=10585

c²=10585

Square both sides

c= 102.88

How far the players ran:

102.88 m

Answer:

Hello There!

`~~~~~~~~~~~~~~~~~~~~~

(x + 3) - 2(4 + x) + 5x - 4 =

4x - 9

Step-by-step explanation: Simplify the expression.

Hope this helped you. Brainliest would be nice!

Answer:

4x -9

Step-by-step explanation:

First, expand it by multiplying (x+4) with -2.

(x + 3) - 2(4 + x) + 5x - 4

= x + 3 - 8 - 2x + 5x - 4

Then, collect like terms. Add up the coefficient of x, and the whole numbers separately.

= x - 2x +5x + 3 -8 -4

= 4x -9

When nothing can further be simplified, you get the answer.

Answer:

1) Formula for experimental probability:

Experimental Probability = [tex]\frac{No.OfFavourableOutcomes}{No.OfPossibleOutcomes}[/tex]

2) Any performance or a random experiment is called a trial.

Answer:

Step-by-step explanation:

The given information is expressed as

Side effect no side effect total

Adult 7 43 50

Children 22 28 50

Total 29 71 100

Probability is expressed as

Number of favorable outcomes/number of total outcomes

For the probability that an adult has side effects,

Total number of outcomes = 50

Number of favorable outcomes = 7

Probability that an adult has side effects = 7/50 = 0.14

For the probability that a child has side effects,

Total number of outcomes = 50

Number of favorable outcomes = 22

Probability that an adult has side effects = 22/50 = 0.44

Therefore, it is more likely that a child has side effects compared to an adult

Answer: The given information is expressed asSide effect no side effect totalAdult 7 43 50Children 22 28 50Total 29 71 100Probability is expressed as Number of favorable outcomes/number of total outcomesFor the probability that an adult has side effects, Total number of outcomes = 50Number of favorable outcomes = 7Probability that an adult has side effects = 7/50 = 0.14For the probability that a child has side effects, Total number of outcomes = 50Number of favorable outcomes = 22Probability that an adult has side effects = 22/50 = 0.44Therefore, it is more likely that a child has side effects compared to an adult

Step-by-step explanation:

Answer:

0.79

Step-by-step explanation:

This value is the most opposite of the value above R, meaning that there is an association between the variables.

Answer:

.79

Step-by-step explanation:

Bc y not

Answer:

0.07%

Step-by-step explanation:

This equation is solving for what percentage of 100 kg is 0.07 kg.

1. Set up the equation

[tex]\frac{0.07}{100}[/tex] = [tex]\frac{x}{100}[/tex]

0.07 kg out of 100 kg is equal to x out of 100 because x represents the percentage and percentages are out of 100.

2. Solve by cross multiplying

100x = 7

3. Solve for x by dividing both sides by 100

x = 0.07

The answer is 0.07%

Answer:

Step-by-step explanation:

Feel pleasure to help u..

Answer:

A. 1,885 cm³

Step-by-step explanation:

[tex]V=\pi r^{2} \frac{h}{3}[/tex]

[tex]\pi 15^{2} \frac{8}{3}[/tex]

15²=225

[tex]\frac{8}{3} =2.67[/tex]

3.14 x 225 = 706.5

706.5 x 2.67 = 1884.96

Answer:

Step-by-step explanation:

Given the expression  (x-5) and (x-4)

The product of the two factors can be expressed as follows

[tex]= (x-5) (x-4)\\=x(x-4)-5(x-5)\\[/tex]

Opening brackets we have

[tex]=x^2-4x-5x+25[/tex]

Collecting like terms we have

[tex]=x^2-9x+25[/tex]

Answer:

x can take any value and are viable in this situation if and only if it is a positive number

Step-by-step explanation:

We know that the area of a rectangle is given by:

A = x * y

So if we replace we have:

12 ≤ x * y ≤ 36

We divide by y, and we have:

12 / y ≤ x ≤ 36 / y

Which means that the value of x depends on y, that is to say if y is worth 1, the inequality would be:

 12 ≤ x ≤ 36

In the event that y is equal to 2:

 12/2 ≤ x ≤ 36/2

 6 ≤ x ≤ 18

Which means, that depending on y, x can take any value and are viable in this situation if and only if it is a positive number.

The image of the function is missing, you can see it at the end of the answer.

For a rectangle of length L and width W, the area is given by:

A = L*W

We will find that the solution is: 3/2 ≤ x ≤ 11/2

Here we have:

L = 3

W = 2x + 1

Then the area equation is:

A = 3*(2x + 1) = 6x + 3

And we also have the inequality:

12 ≤ A ≤ 36

Replacing A with the equation we get:

12 ≤ 6x + 3 ≤ 36

Now we solve this for x:

12 - 3 ≤ 6x ≤ 36 - 3

9  ≤ 6x  ≤ 33

Now we divide both sides by 6.

9/6 ≤ x ≤ 33/6

3/2 ≤ x ≤ 11/2

If you want to learn more, you can read:

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Answer:

Hello!

____________________

5+(−4)= 1

Step-by-step explanation: Simplify the expression.

Hope this helped you!

Answer:

5+(-4)=1

Step-by-step explanation:

Hey there! :)

Answer:

SA = 144 cm².

Step-by-step explanation:

Find the surface area by calculating the areas of each of the lateral sides and bases:

In this instance, the bases are triangles, so the formula A = 1/2(bh) will be used:

Bases:

A = 1/2(bh)

A = 1/2(4·3)

A = 1/2(12)

A = 6 cm².

There are two bases, so:

6 × 2 = 12 cm²

Find the areas of the lateral sides using A = l × w:

5 × 11 = 55 cm²

4 × 11 = 44 cm²

3 × 11 = 33 cm²

Add up all of the areas:

12 + 55 + 44 + 33 = 144 cm².

Answer:

144 cm^2

Step-by-step explanation:

So, first find the area of the triangle. To find that you need to use the formula A = bh ÷ 2 (Area = base x height ÷ 2)

A = (4)(3) ÷ 2

A of triangle = 6

Since there are 2 triangles, you need to multiply the area by 2, which equals 12.

To find the area of the rectangles, you need to use the formula A = lw (Area = length x width)

For the first rectangle,

A = 11 x 5

A = 55

For the second rectangle,

A = 4 x 11

A = 44

For the third rectangle,

A = 3 x 11

A = 33

Now, you need to add the areas of the triangles and rectangles together to get your surface area.

12 + 55 + 44 + 33 = 144cm^2

So, the surface area of the triangular prism is 144 cm^2.

Answer:

a). 3a² + 17a - 1

b). 4y (7y-6)

Step-by-step explanation:

in the second question, we find a number that can divide 28 and 24 without a remainder, which is 4

Answer:

P(black) = 0.2

Step-by-step explanation:

Total number of rings

= 6 yellow + 11 blue + 3 black

= 20 rings.

P(black) = #black/#all = 3/20 = 0.15

Most people would round 0.15 to the nearest tenth as 0.2

It is not desirable in this cas to round to the tenth due to the 33% round-off error, but, what can you do.

Answer:

x=-1/9; -1/9; (-1/9,0)

(each one is a different way to write the answer)a

Step-by-step explanation:

Zeros of a function are when the y-value of a point on a graph is equal to 0. Plugging in 0 for y in this equation of the function we get 0=-9x-1, which we can solve by adding 9x to both sides of the equation to get 0+9x=-9x+9x-1, or 9x=-1, and divide both sides by 9 to get x=-1/9

Answer:

m=3, n=5

Step-by-step explanation:

(3+√5)² = (3+√5)(3+√5) =

3² + 3√5 + 3√5 + √5·√5 = 9 + 6√5 + 5 = 14+6√5

Answer:

14 problems worth 5 points and 15 problems worth 2 points

Is the correct answer

Step-by-step explanation:

The solution are;

⇒ x = 14

⇒ y = 15

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The system of equation for given condition is;

⇒ x + y = 29, 5x + 2y = 100

Now,

Since, The system of equation for given condition is;

⇒ x + y = 29   ..(i)

⇒ 5x + 2y = 100  ..(ii)

Solve both the equation, we get;

⇒ 5x + 5y = 145

Subtract from (ii), we get;

⇒ 5y - 2y = 145 - 100

⇒ 3y = 45

⇒ y = 15

And, x + y = 29

x + 15 = 29

x = 29 - 15

x = 14

Thus, The solution are;

⇒ x = 14

⇒ y = 15

Learn more about the mathematical expression visit:

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Answer:

3/10

3/10

Step-by-step explanation:

0,1,2,3,4,5,6,7,8,9 are in a box

odd primes are 3 and 5 and 7  ( 1 is neither prime nor composite)

There is a total of 10 numbers

P( odd prime) = number of odd primes / total = 3/10

perfect squares greater than 0 are 1,4,9

P( perfect squares) = number of perfect squares / total = 3/10

Answer: 3/10(the first one)

Step-by-step explanation: So, prefect squares are numbers that are divisible by two numbers multiplied by them selves, 1 is 1 x 1 4 is 2 x 2 and 9 is 3 x 3 so 3 numbers out of 10 from 0 to 9 are perfect squares! Hope this helps, 15402256.

Hey there! :)

Answer:

B. 0

Step-by-step explanation:

On the graph, the line is a horizontal line. This means that there is no change in the y-value across the domain.

Thus, the graph has a slope of 0.

Answer:

B. 0

Step-by-step explanation:

Use the following formula to solve for slope:

m (slope) = (y₂ - y₁)/(x₂ - x₁)

Let:

(x₁ , y₁) = (0 , -2)

(x₂ , y₂) = (2 , -2)

Plug in the corresponding numbers to the corresponding variables:

m = (-2 - (-2))/(2 - 0)

Simplify:

m = (-2 + 2)/(2 - 0)

m = 0/2 = 0

B. 0 is your slope.

~

Answer:

q= 5

Step-by-step explanation:

Geometric mean of two term p and q is = [tex]\sqrt{pq}[/tex]

we have

p = √7​

geometric mean = √35

Thus, using the formula of geometric mean

√35 = √7​*q

[tex]\sqrt{35} = \sqrt{7q} \\[/tex]

squaring both sides

[tex]\sqrt{35}^2 = \sqrt{7q} ^2\\=>35 = 7q\\=> q = 35/7 = 5[/tex]

Thus, q= 5

Answer:

e=15.8

Step-by-step explanation:

Well we use the law of cosines

e^2=11^2+6^2-2(11)(6)cos(134)

[tex]e^{2} =121+36-132cos134\\e^2=157-132cos143\\e^2=248.694....\\e=15.8[/tex]

Answer:

15.8

Step-by-step explanation:

Using Cosine rule

a² = b²+c²-2bcCos A

a = e

b = 11

c = 6

A = 134°

e² = 11²+6²-2•11•6 × Cos 134

" = 121+36 -132× -0.69466

" = 157 + 91.69512

" = 248.69512

e² = 248.6951

e = (248.6951)½

e = 15.7701

nearest tenth = 15.8

Answer:

x=70

z=20

y=30

Step-by-step explanation:

first find x: the sum of straight angle is 180

x+110=180

x=180-110=70

now find z: the sum of the angles of triangle is 180:

x=70, right angle=90

z+70+90=180

find y:

y+110+40=180

y=180-150=30

z=180-160=20

Answer:

x=70 degrees, y= 30 degrees, z=20 degrees

Step-by-step explanation:

110+x=180 => straight angle def.

180-110+40=y => def. of angles in triangle

x( 70 degrees) +90+z=180, z= 20 => angles in triangle

Answer: (2,5)

Step-by-step explanation:

To find the x coordinate of the vertex, you will set  x-2=0 and solve for x

x-2=0

 +2  +2

x = 2  

Now since we know the vertex has an x coordinate of 2 we have to solve for y by plotting in the x value.

y= 1/2(2-2)^2 + 5

y = 0 +5

y =5

(2,5)

Answer:

162°

Step-by-step explanation:

This is a hexagon, so the sum of the angle measures will be 720°

Add up the measures

40x=720

Divide

X=18

Multiply by 9 to find angle of D

9*18=162

The measure of the interior angle at vertex D is 162°. Hence, option B. is the right choice.

Polygons are closed plane figures formed by the intersection of 3 or more non-collinear line segments.

The sum of interior angles of an n side polygon = (n-2)180°.

We are given a 6 side polygon ABCDEF.

∴ n = 2.

The sum of interior angles of polygon ABCDEF = (6-2)180° = 4*180° = 720°.

The angles are 2x, 9x, 2x, 9x, 9x, and 9x.

Their sum = 2x + 9x + 2x + 9x + 9x + 9x = 40x.

This sum = The obtained sum

or, 40x = 720°

or, x = 720°/40 = 18°.

∴ Interior angle at vertex D = 9x = 9*18° = 162°. Hence, option B. is the right choice.

Learn more about Polygons at

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Answer:

16

Step-by-step explanation:

father's age=46

half of father's age=46/2=23

Xiao's age=15

so when Xiao is half of her father age =23-15=8

then add 8 to his sister's age

so 8+8=16

hope its was helpful<3<3

plz rate the answer

Answer:

His sister will be 16 year old

Step-by-step explanation:

46/2 = 23

15-8=7

23-7=16

Answer:

a) About 2261.95

b) $11.94

Step-by-step explanation:

a) The lateral area of a cone can be calculated via A=πrl

b) Simple do 2261.95/400 and round to the nearest 1 to get 6.  Then multiply 6 by 1.99 to get 11.94

Hope it helps <3