find the value of x, y, and z

Answer:

1st

Vertex

we have

f(x)=x²-18x+88

let

y=x²-18x+88

comparing above equation with ax²+bx+c

we get

a=1

b=-18

c=88

now

vertex(x,y)=(-b/2a,f(-b/2a))

x=(18/2×1)=9

y=f(9)=9²-18×9+88=7

SO

VERTEX(X,Y)=(9,7)

=

#1

x coordinate of vertex

y coordinate

Option C.

#2

y intercept

(0,-36)

x inetercepts

(12,0)U(-3,0)

#3

Find dy/dx

f'(x)=0<=>x=3/2

For increasing

For decreasing

F(x) is increasing on (-oo,3/2)

F(x) is decreasing on (3/2,oo)

Answer:

[tex](3x-4)(5x+2)[/tex]

Step-by-step explanation:

Answer:

2a + b/4

Step-by-step explanation:

The expression is the sum of two terms (2a + b/4)

The first term is the product (Multiply) of 2 and a (2a)

The second term is the quotient (Divide) of b and 4 (b/4)

Answer:

18

Step-by-step explanation:

Option (A) 1 foot by 2 feet and option (C)  2 feet by 1 foot satisfy the perimeter given. Thus options A and C are correct.

"A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles".

For the above situation,

The length of the rectangle be 'l'

The breadth of the rectangle be 'b'

Perimeter of the rectangle, P = 2(l+b)

Option A : 1 foot by 2 feet

Here, l = 1 feet and b = 2 feet

⇒ [tex]P=2(l+b)[/tex]

⇒ [tex]P=2(1+2)\\[/tex]

⇒ [tex]P=6[/tex]

This perimeter is equal to the perimeter of the rectangle. Thus option A is correct.

Option B : 1 foot by 5 feet

Here, l = 1 and b = 5 feet

⇒ [tex]P=2(1+5)[/tex]

⇒ [tex]P=12[/tex]

This perimeter is not equal to the perimeter of the rectangle. Thus option B is not correct.

Option C :  2 feet by 1 foot

Here, l = 2 and b = 1 feet

⇒ [tex]P=2(2+1)[/tex]

⇒ [tex]P=6[/tex]

This perimeter is equal to the perimeter of the rectangle. Thus option C is correct.

Option D : 2 feet by 4 foot

Here, l = 2 and b = 4 feet

⇒ [tex]P=2(2+4)[/tex]

⇒ [tex]P=12[/tex]

This perimeter is not equal to the perimeter of the rectangle. Thus option D is not correct.

Option E :  3 feet by 3 feet

Here, l = 3 and b = 3 feet

⇒ [tex]P=2(3+3)[/tex]

⇒ [tex]P=12[/tex]

This perimeter is not equal to the perimeter of the rectangle. Thus option E is not correct.

Option F : 4 feet by 2 feet

Here, l = 4 and b = 2 feet

⇒ [tex]P=2(4+2)[/tex]

⇒ [tex]P=12[/tex]

This perimeter is not equal to the perimeter of the rectangle. Thus option F is not correct.

Option G : 5 feet by 1 foot

Here, l = 5 and b = 1 feet

⇒ [tex]P=2(5+1)[/tex]

⇒ [tex]P=12[/tex]

This perimeter is not equal to the perimeter of the rectangle. Thus option G is not correct.

Hence we can conclude that option (A) 1 foot by 2 feet and option (C)  2 feet by 1 foot satisfies the perimeter given. Thus options A and C are correct.

Learn more about the rectangle here

https://brainly.com/question/4074407

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Answer:

adults = 52

children = 108

Step-by-step explanation:

two equations can be derived from the question

x + y = 160 equation 1

2x + 5y = 476   equation 2

x = number of children

y = number of adults

multiply equation 1 by 2

2x + 2y = 320  equation 3

subtract equation 1 from 2

3y = 156

y =52

substitute for y in equation 1

x + 52 = 108

x = 160 - 52 = 108

Answer: All I'm seeing is a blank screen I'm sorry can you try it again?

Answer:

nice black screen i like it

Answer:

14.14

Step-by-step explanation:

please find attached a diagram showing the stick and the jar

the length of the longest stick can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

10² + 10²

100 + 100 = 200

determine the square root of 200

= 14.14

Answer: x<=24

Step-by-step explanation:

Data: x/4<=6 and to find the answer, we have to find(Isolate) x

x/4(4)<=6(4) which is x<=24

Since we have found x, we have our answer which is x<=24

I hope this helps!

Answer:

Step-by-step explanation:

The formula of a distance between two points:

[tex]A(x_A;\ y_A);\ B(x_B;\ y_B)\\\\|AB|=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}}[/tex]

We have:

[tex]A(-4;\ 9);\ B(5;\ -3)\\\\|AB|=\sqrt{(5-(-4))^2+(-3-9)^2}=\sqrt{9^2+(-12)^2}=\sqrt{81+144}\\\\=\sqrt{225}=15[/tex]

Answer:A

Step-by-step explanation: A is 8d+d, and since d=1, 8d,+1d is equal to 9d

Answer:

y = - 7 and x = 5

Step-by-step explanation:

10x + 7y - 5x - 7y = 1 + 24

5x = 25

5x ÷ 5 = 25 ÷ 5

x = 5

- 5(5) - 7y = 24

- 25 - 7y = 24

- 25 + 25 - 7y = 24 + 25

- 7y = 49

- 7y ÷ - 7 = 49 ÷ - 7

y = - 7

Answer:

YES!

Step-by-step explanation:

You do multiply straight across for ex: 3/4 x 4/3= 12/12=1

For addition you don't but for multiplication you do!

Answer:

Step-by-step explanation:

Let the x be the number of hours after noon.

We have the following equation:

Answer:

Solution given;

A(x1,y1)=(7,4)

B(x2,y2)=(-8,4)

distance AB=?

we have

d=[tex]\sqrt{(x2-x1) ²+(y2-y1) ²}[/tex]

AB=[tex] \sqrt{(-8-7)²+(4-4)²}[/tex]

AB=15 units

the distance between the two points is 15 units.

Answer:

the answer is 33.4 because 33.4 x 2 is 66.8 and you add 1.2 + 1.2 that is 2.4. you add both and you get 69.2. Th answer is 33.4

Step-by-step explanation:

33.4 x 2 (1.2 x 2) + 69.2

brainliest pls.

Answer:

a = 33.4

Step-by-step explanation:

The short sides are both 1.2. You have to take them into account.

P = 2L + 2W

L is arbitrarily chosen to be the long side. The short side is W.

Givens

P = 69.2

L = a

W = 1.2

Solution

69.2 = 2 * 1.2 + 2a

69.2 = 2.4 + 2a

69.2 - 2.4 = 2a

66.8 = 2a                    

66.8/2 = a

a = 33.4

Answer:

5/6 in simpleest form is 5/6

It is already the lowest it can go

Answer:

Step-by-step explanation:

5/ 6  is already in the simplest form. It can be written as 0.833333 in decimal form (rounded to 6 decimal places).

Find the GCD (or HCF) of numerator and denominator

GCD of 5 and 6 is 1

Divide both the numerator and denominator by the GCD

5 ÷ 1

6 ÷ 1

Reduced fraction:  

5/ 6

Therefore, 5/6 simplified to lowest terms is 5/6.

Answer:

995 pounds took the test got it right

Step-by-step explanation:

Answer:

5 pounds

Step-by-step explanation:

% (percent) means 100

0.5% of (1000 pounds)

= 0.5% × (1000 pounds)

= 0.5 ÷ 100 (1000 pounds)

=  5 pounds

Answer:

(2,2)

Step-by-step explanation:

Difference between -2 and 0 is 2 and difference between 4 and 2 is 2

Answer:

difference in y is 6 difference in x is 2

Step-by-step explanation:

Answer:

$180

Step-by-step explanation:

He earns $9 per hour

we should find how much does he earn for 20 hours

20 × 9

= 180

9514 1404 393

Answer:

  line m: 3x -y = 8

Step-by-step explanation:

The dilation scale factor affects only the constant in a linear equation. The scaled lines are parallel to each other, so the slope, or ratio of coefficients, does not change.

3x -y = 4 scaled by a factor of 2 becomes 3x -y = 8.

Answer:

See below

Step-by-step explanation:

Given the above information, we can make the first part to be;

First part = y + 10

Then,

Second part = y

y + 10 : y = 5 : 3

(y + 10) / y = (5) / (3)

Cross multiply,

3y + 30 = 5y

Collect like terms

5y - 3y = 30

2y = 30

y = 15

Therefore, substituting the value of y,

First part = y + 10

First part = 15 + 10

First part = 25

Second part = y

Second part = 15

Number = First part + Second part

Number = 25 + 15

Number = 40

Answer:

the y intercept is (0,29)

Answer:

180-116-30=y

Step-by-step explanation:

Answer:

Step-by-step explanation:

180-116-30=y

Answer:

[tex]\text{C. }(x^3)^{1/5},\\\text{F. }\sqrt[5]{x^3}[/tex]

Step-by-step explanation:

Exponent properties state [tex](a^b)^c=a^{(b\cdot c)[/tex]. Therefore, [tex]{x^{(\frac{3}{5})}=(x^3)^\frac{1}{5}[/tex].

Recall that [tex]a^{(\frac{b}{c})}=\sqrt[c]{a^b}[/tex]. Thus, [tex]x^{(\frac{3}{5})}=\sqrt[5]{a^3}[/tex].

Answer:

Given:

perpendicular [p]=9cm

base[b]=15cm

length[l]=4cm

we have

the volume of this triangular prism=area of traingle. ×length=1/2 p×b×l

=½×9×15×4=270cm³

270cm³ is a required volume.

Answer:

[tex]\displaystyle V _{ \text{prism}} = 270 {cm}^{3} [/tex]

Step-by-step explanation:

we are given a triangular prism

we want to figure out the Volume of the given Prism

remember that,

[tex] \rm\displaystyle V _{ \text{prism}} = [\text{base area}] \times l[/tex]

since the base is triangle the formula of base area should be the formula of the area of a triangle

thus,

[tex] \rm\displaystyle V _{ \text{prism}} = [\frac{1}{2}\times b\times h] \times l[/tex]

substitute

[tex] \rm\displaystyle V _{ \text{prism}} = [\frac{1}{2}\times 9 \times 15]\times 4[/tex]

remove parentheses:

[tex] \displaystyle V _{ \text{prism}} = \frac{1}{2}\times 9\times 15\times 4[/tex]

reduce fraction:

[tex]\displaystyle V _{ \text{prism}} = 9\times 15\times 2[/tex]

simplify multiplication:

[tex]\displaystyle V _{ \text{prism}} = 270[/tex]

hence, the Volume of the given prism is 270cm³

Answer:

X = 70

Step-by-step explanation:

180 - 40 = 140

140/2 = 70

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