How wide is the gate

Answer:

A The answer is A

Step-by-step explanation:

Answer:

x > 20

Step-by-step explanation:

-4x + 62 < -18

Add subtract 62 from both sides

-4x < -80

We can flip the sign and take away the negatives if both sides are negative.

4x > 80

Divide both sides by 4

x > 20

(1).

f(x) = |x − 5| + 3

f(2) = |2 − 5| + 3 = |−3| + 3 = 3 + 3 = 6

(2).

f(x) = 8 − 3|x + 2|

f(−6) = 8 − 3|−6 + 2| = 8 − 3|−4| = 8 − 3·4 = 8 −  12 = − 4

(3).

For f(x) = |x − h| + k the turning point is (h, k), so:

f(x) = |x − 2| + 3   ⇒  the turning point is: (2, 3)

The value of f (2) will be;

⇒ f(2) = 6

The value of f (- 6) will be;

⇒ f(-6) = 4

The turning point of the graph will be;

⇒ (2, 3)

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;

1) The function is,

⇒ f(x) = |x−5| + 3

2) The function is,

⇒ f(x) = 8 - 3 |x+ 2|

3) The function is,

⇒ f(x) = |x−2| + 3

Now,

1) The function is,

⇒ f(x) = |x−5| + 3

Put x = 2;

⇒ f (2) = |2 - 5| + 3

⇒ f (2) = 3 + 3

⇒ f(2) = 6

2) The function is,

⇒ f(x) = 8 - 3 |x+ 2|

Put x = - 6;

⇒ f (- 6) = 8 - 3 |- 6 + 2|

⇒ f (-6) = 8 - 3 × 4

⇒ f(-6) = 8 - 12

⇒ f (- 6) = - 4

3) The function is,

⇒ f(x) = |x−2| + 3

We know that;

Turning point of the function f (x) = |x - h| + k are (h, k)

So, By comparing we get;

The turning point of the graph of f(x) = |x−2| + 3 are (2, 3).

Thus, The value of f (2) will be;

⇒ f(2) = 6

The value of f (- 6) will be;

⇒ f(-6) = 4

The turning point of the graph will be;

⇒ (2, 3)

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Answer:

i think 15 kid and 18 aduits

Step-by-step explanation:

Answer:

800 children’s ticket were sold and 400 adult tickets were sold

Step-by-step explanation: using elimination

variables-

amount of children’s ticket sold: C

amount of adult tickets sold: A

equations-

A+C=1200

5A+11C=10,800

solving-

(A+C=1200) -5 —> -5A-5C=-6000

5A+11C= 10,800

use elimination on those two equation and you get C=800, A=400.

to check you plug in the numbers into one of the equations, doesn’t matter which one.

Answer:

$1,173,226,826  

Step-by-step explanation:

The estimate of the increase in dollars earnings is the difference between this year's earnings and last year's earnings. In other words, the increase in earnings is the excess of current year's earnings over last year's earnings as computed below:

increase in earnings=this year's earnings-last year's earnings

this year's earnings=$3,632,859,678

last year's earnings=$2,459,632,852

increase in earnings=$3,632,859,678-$2,459,632,852

increase in earnings=$ 1,173,226,826  

Answer:

2

Step-by-step explanation:

Answer:

Quadrant IV..............

Answer:B

Step-by-step explanation:

Answer:

[tex]a_c=4.17\ m/s^2[/tex]

Step-by-step explanation:

Centripetal Acceleration

It's the acceleration of an object moving in a uniform circular motion that pushed the object toward the center.

Its magnitude can be calculated as follows:

[tex]\displaystyle a_c=\frac{v^2}{r}[/tex]

Where:

v = tangential speed

r  = radius of the circle

The ball is tied to a string describing a circular motion with a radius of r=1.5 m. The tangential speed is v=2.5 m/s, thus the acceleration is:

[tex]\displaystyle a_c=\frac{2.5^2}{1.5}[/tex]

[tex]\displaystyle a_c=\frac{6.25}{1.5}[/tex]

[tex]\mathbf{a_c=4.17\ m/s^2}[/tex]

Answer:

a) y = 400(0.75) ^x

b) Exponential Decay

Step-by-step explanation:

An adult can take 400 mg of ibuprofen. Each hour, the amount of ibuprofen decreases by 25%.

a. Write an equation of this exponential situation for the total amount of ibuprofen, y, in terms of the number of hours, x.

This situation above is an exponential decay situation.

The forms is given as

y = a(1 - r) ^x

Where

y = the total amount of ibuprofen

a = initial amount of ibuprofen = 400mg

r = Decay rate = 25%

x = Time in hours

Hence, the Equation is written as

y = 400(1 - 0.25) ^x

y = 400(0.75)^x

b. Does this situation represent exponential growth or decay? Explain how you know

This situation represents an exponential decay because we are told in the question that each hour, the amount of ibuprofen DECREASES by 25%. Decrease in this context means Decay.

Answer:

3rd one

Step-by-step explanation:

look t the form x equals up to a diviser

Answer:

b=1

Step-by-step explanation:

Subtract 2 from both sides

b=1

Answer:

Step-by-step explanation:

3 = 2 - b

B + 3 = 2

b = 2 - 3 = - 1

Answer:

its A my bro mark me brainleist please

Step-by-step explanation:

Answer:

There is no diagram for our observation. Please refine your question next time.

Step-by-step explanation:

Answer:

yellow

Step-by-step explanation:

Answer:

ajfbgaulfgsuidglml

Step-by-step example:

9514 1404 393

Answer:

  8 cm²

Step-by-step explanation:

A 45° sector is (45°)/(360°) = 1/8 of the circle, so its area is ...

  (1/8)(64 cm²) = 8 cm² . . . . area of sector

Answer:  k = 3

Step-by-step explanation:

1

Combine multiplied terms into a single fraction

4

.

5

+

1

.

5

Answer:

Thr33

Step-by-step explanation:

3

Answer:

It falls in the integer category. The attached picture is a chart if you want to specify a number in a category.

Hope this helps :)

Answer:

As a fraction = [tex]\dfrac{30}{100}[/tex]

As a decimal = 0.3

Step-by-step explanation:

Recall that: The total yard of a football field = 100 yards

Tritan played in a football game he caught the ball at the goal line and ran forward 30 yards before he was tackled,

As a fraction;

Tristan run can be represented as = number of run from goal-line/ total length of the field

= [tex]\dfrac{30}{100}[/tex]

As a decimal= 0.3

Answer:

do u go to dutchtown

Step-by-step explanation:c

Answer:

Factor 25v3−40v2+35v−56

25v3−40v2+35v−56

=(5v−8)(5v2+7)

Answer:

(5v−8)(5v2+7)

Answer:

Yes

Step-by-step explanation:

Every x value has one y-value.

Answer:

yes

Step-by-step explanation:

yes it is because each of the x has a unique y

9 has 9

7 has 4

1 has 2

2 has 6

5 has 0

Answer:

455.1 cm²

Step-by-step explanation:

The two containers have the following;

Large container

Volume : 3456 cm³

Surface area : 1024 cm²

Small container

Volume : 1458 cm³

Surface area : ?

If the two containers are mathematically similar then first find the volume scale factor

Volume of large/ volume of small

3456/1024 = 3.375

Length scale factor will be cube root of volume scale factor

∛3.375 = 1.5

Area scale factor is a square of the length scale factor

=1.5² = 2.25

=Surface area of the small container will be :

Larger area = 2.25 * small area

1024 = 2.25 * small area

1024/2.25 = small area

Surface area of the smaller container 455.1 cm².

Answer:

D they both are correct, because it is reflected equally from both coordinates.

Step-by-step explanation:

The total score for the basketball game was 50 points.

Percentage is a part of the whole number. It is denoted by % sign.

1 %= 1/100.

Given that,

Points scored by Marco in basketball game = 20

Also, points scored by Marco is 40% of the total score,

Implies that,

40% = 20

1 % = 20 / 40

To determine total score, find value of 100%,

100 % = (20 / 40) x 100

          = 50

The total score for the basketball game was 50.

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Answer:

5. 36d¹⁰/6d⁵ = 6d⁵

6. [(4³)²]² = 4⁷

7. 5³•7⁵•10/5•7⁴ = 5²•7• 10

8. (2²)⁷ = 2⁹

9. (8v⁹)⁵ = 8⁵V¹⁴

Step-by-step explanation:

When solving questions having indices, we follow certain rules in Mathematics

a) a^b/a^c = a^b-c

b) (a^b)^c = a^b+ c

Hence:

5. 36d¹⁰/6d⁵ =

(36/6)^d^10-5 = 6d⁵

6. [(4³)²]²

= (4)^3 + 2+ 2 = 4⁷

7. 5³•7⁵•10/5•7⁴

= (5)^3-1 • (7) ^5-4• × 10

= 5²•7•10

8. (2²)⁷

= (2)^2 + 7

= 2⁹

9. (8v⁹)⁵

= 8⁵•v^9+5

= 8⁵v¹⁴