Given g(x) = -x + 4, find g(5).

Answer:

x = -1

Step-by-step explanation:

14x + 2 = 9x -3

Transpose

14x -9x = -3 -2

5x = -5

x= -5/5

x = -1

Answer:

x = -1

Step-by-step explanation:

[tex]14x+2=9x-3\\\\5x+2=-3\\\\5x=-5\\\\x=-1[/tex]

Step-by-step explanation:

Let's say we have (m*x+d)², with m and d representing constant values (a number). If we expand, we can see that

(m*x+d)² = (m*x+d) * (m*x+d) = m²*x²+2*m*x*d + d². Matching that up with

ax²+bx+c, the value multiplied by x² in our factored perfect square is m² (so m²=a), the value multiplied by x is 2md ( so 2md = b), and the constant is d².

Going back to the problem, we want to see how the values of a and c correspond with a perfect square trinomial. In our perfect square of (m*x+d)², our resulting trinomial has m² = a and d² = c. This points to the fact that a must be a square of something (for example, if a = 1, √1=1, so this works) as well as c if they are part of a perfect square trinomial. If a and c are both squares of other numbers, then it is possible that ax²+bx+c is a perfect square trinomial. If they are not, then it is not possible

Answer:

Step-by-step explanation:

The most obvious answer is the line y = 1.

In this question first you should find profit amount by using formula and you should use profit amount in profit percentage formula then you should calculate it

Answer:

1 feet = 12 inch

so, 3 feet = 36 feet

therefore, 3 feet is greater than 30 inch

Answer:

Yes, 3o inches is greater than 3 feet

Step-by-step explanation:

this is simplify? I think it's simplify so I can give you an answer

Answer:

8.98π = 28.22 in^2.

Step-by-step explanation:

Area of the whole circle = πr^2 = 7^2 * π

= 49π

So the area of sector MOR

= (66/360) * 49π

= 8.98π = 28.22 in^2.

Answer: x = -10

Step-by-step explanation:

Given

3x / 5 = -6

Multiply 5 on both sides

3x / 5 × 5 = (-6) × 5

3x = -30

Divide 3 on both sides

3x / 3 = (-30) / 3

x = -10

Hope this helps!! :)

Please let me know if you have any questions

Step-by-step explanation:

3x/5 = - 6

first take 5 to the right: 3x = - 6×5

3x = -30

then divide 3 on both sides

3x/3 = -30/3

x = - 10

I hope this answers your questions.

Answer:

m=-9/7

Step-by-step explanation:

Answer:

we have to convert that question centimeters to meters

Step-by-step explanation:

I think all are going to be less as you change all of them.

Answer:

15.81 = ?

Step-by-step explanation:

Since this is a right triangle we can use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

9^2 + 13^2 = ?^2

81 +169 = ?^2

250 = ?^2

Taking the square root of each side

sqrt(250) =?

15.8113883= ?

To the nearest 100th

15.81 = ?

Answer:

Using Pythagorean theorem:- [tex]a^{2} +b^{2} =c^{2}[/tex]

a= 13

b= 9

c= ? ( length)

[tex]13^{2} +9^{2} =?^{2}[/tex]

[tex]13^{2} =169[/tex]

[tex]9^{2} =81[/tex]

[tex]169+81=?^{2}[/tex]

[tex]250=?^{2}[/tex]

[tex]\sqrt{250}=15.811[/tex]

[tex]?=15.81[/tex]

OAmalOHopeO

Step-by-step explanation:

here's the answer to your question

Answer:

Step-by-step explanation:

The basic 30-60-90 triangle ratio is:

Side opposite to 30° angle is : x

Side opposite to 60° angle is : x √3

Side opposite to 90° angle is : 2x

From the diagram we learn that

x√3 = 10

[tex]x = \frac{10}{\sqrt{3}}=\frac{10*\sqrt{3} }{\sqrt{3}*\sqrt{3}}\\\\x=\frac{10\sqrt{3}}{3}= 5.77\\[/tex]

∠T = 30°, Side opposite to ∠T is AC = 5.77

∠A = 90°, side opposite to ∠A is TC = 2x = 2*5.77 = 11.54

Answer:

number of child tickets sold on saturday is 21

number of adult tickets sold on saturday is 42

Step-by-step explanation:

Let's assume

number of child tickets sold on saturday is x

number of adult tickets sold on saturday is y

On saturday, twice as many adult tickets as child tickets were sold

so, we get

child admission is $6.30 and adult admission is $9.60

a total sales of $535.50

we get

now, we can plug y=2x

now, we can solve for x

now, we can find y

so,

number of child tickets sold on saturday is 21

number of adult tickets sold on saturday is 42.........Answer

Answer:

3.39

Step-by-step explanation:

divide 10.17 by 3 to get the size of each section

Answer:

m<D = 170°

Step-by-step explanation:

In a pentagon, the angles add up to 540°. This means the sum of <A, <B, <C, <D, and <E add up to that, and we can write an equation:

m<A + m<B + m<C + m<D + m<E = 540°

We are already given the measures of all the angles except D, so we can substitute them in:

87° + 125° + 63° + m<D + 95° = 540°

Now, we can simplify and solve for <D:

m<D + 370° = 540°

m<D = 170°

Answer:

(a square +7a+12) ÷(a+3)

You can use the distributive property to multiply:

( y )( y² - 2y + 4 ) + ( 2 )( y² - 2y + 4) =

y³ - 2y² + 4y + 2y² - 4y + 8 =

y³ + 8

The -2y² and the 2y² cancel each other, and the 4y and -4y cancel each other out!

Answer:

[tex]\sf{}[/tex]

Step-by-step explanation:

a+10 = 90

a = 90-10

a = 80

therefore a = b

b = 80

Answer:

Angles are : 40 , 50

Step-by-step explanation:

Sum of complementary  angles are 90

a + a + 10 = 90

 2a + 10 = 90

         2a = 90 - 10

        2a = 80

          a = 80/2

a = 40

a + 10 = 40 + 10 = 50

Angles are : 40 , 50

Answer:

see below

Step-by-step explanation:

5^2  means 5*5  not 5*2

5^2 = 5*5 = 25  not 10

Answer:

5*5 = 25

bobby mistake is doing 5*2 = 10

Step-by-step explanation:

Answer:

To calculate the vertex you can use the vertex form ( i searched about the vertex and found it) but i don't know how to use it so i used another method.

The vertex is where the function inverts (y values) so it is going to be or a maximum or a minimum of the function. To calculate the min/max you derivate the function and then equal it to zero.

1) y  = -3x^2 -12x -10

the derivative of y is y' = -6x -12 = -6(x+2)

y'=0 <=>  -6(x+2) = 0 <=> x+2=0 <=> x=-2

y(-2) = -3(-2)^2 -12*(-2) -10 = 2

So the vertex is the point (-2,2) .

Because the slope of the equation is negative that means that the vertex is going to be the maximum , so the maximum is (-2,2) .

To find another 4 points you just have to pick values of x and replace them in the equation y  = -3x^2 -12x -10  to find y.

2) y = -2x^2 -12x -16

Do the same thing we did in point 1

y'= -4x-12 = -4(x+3)

y'=0 <=>  -4(x+3) = 0 <=> x+3=0 <=> x=-3

y(-3) = -2(-3)^2 -12*(-3) -16 = 2

So the vertex is the point (-3,2) .

[tex]\\ \sf \longmapsto 1+6+(-8)[/tex]

[tex]\\ \sf \longmapsto 1+6+(-8)[/tex]

[tex]\\ \sf \longmapsto 1+6-8[/tex]

[tex]\\ \sf \longmapsto 7-8[/tex]

[tex]\\ \sf \longmapsto -1[/tex]

option c is correct

Answer:

=1±33√4

Step-by-step explanation:

Answer:

[tex]x =\frac{1+/-\sqrt{33} }{4}[/tex]

Step-by-step explanation:

It wouldn't let me put the symbol in the equation but +/- is just the same thing as ±

This answer is correct on edmentum/plato

Answer:

I think The choose C. 15

Step-by-step explanation:

wv=40

vG=20 =ST

PT=25

ST²+SP²=PT² —> 20²+SP²=25 —> 400+SP²=625

PS²=225 —> SP=15 in

I hope I helped you^_^

The value of SP is 15 inch.

The well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

Given:

VW=40

VG=20 =ST

and, PT=25

Now, using pythagoras theorem

ST²+SP²=PT²

20²+SP²=25

400+SP²=625

PS²=225

SP=15 in

Learn more about pythagoras theorem here:

https://brainly.com/question/343682

#SPJ5

Answer:

Let's first find the slope.

-13 - (-8) /  2-1

-5/1

-5

The slope is -5.

The y intercept, or where the line crosses the y=axis, is equal to -3.

So, the equation is y=-5x-3

Let me know if this helps!

Using Pythagorean theorem

[tex]\\ \sf\longmapsto P^2=H^2-B^2[/tex]

[tex]\\ \sf\longmapsto P^2=11^2-9^2[/tex]

[tex]\\ \sf\longmapsto P^2=121-81[/tex]

[tex]\\ \sf\longmapsto P^2=40[/tex]

[tex]\\ \sf\longmapsto P=\sqrt{40}[/tex]

[tex]\\ \sf\longmapsto P=6.2cm[/tex]

Step-by-step explanation:

Given,

Hypotenuse = 11 cm

Base (One of the given leg) = 9 cm

Therefore,

According to Pythagoras Theorem,

[tex] {base}^{2} + {height}^{2} = {hypotenuse}^{2} [/tex]

[tex] = > {(9)}^{2} + {height}^{2} = {(11)}^{2} [/tex]

[tex] = > {height}^{2} = {(11)}^{2} - {(9)}^{2} [/tex]

[tex] = > {height}^{2} = 121 - 81[/tex]

[tex] = > {height}^{2} = 4 0[/tex]

[tex] = > height = \sqrt{40} [/tex]

=> height = 6.3245553203

When rounded to nearest tenth,

=> height = 6.3

Hence,

Required length of other leg is 6.3 (Ans)

Answer:

B = 135

Step-by-step explanation:

An octagon has 8 equal sides, and in total is 1080 degrees. Each angle is 135 degrees which adds up to 1080. Or:

135 × 8 = 1080.

Hope this helped.

Answer:

d

Step-by-step explanation:

Quantity of paint used = (2/3) of (1/2)

      [tex]=\frac{2}{3}*\frac{1}{2}\\\\=\frac{1}{3}[/tex]

Quantity left in the can = [tex]\frac{1}{2}-\frac{1}{3}[/tex]

   [tex]= \frac{1*3}{2*3}-\frac{1*2}{3*2}\\\\=\frac{3}{6}-\frac{2}{6}\\\\=\frac{1}{6}[/tex]