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Question

Identify intervals on which the function is increasing, decreasing, or constant. g(x) = 1 - (x - 7)^2
Select one:
a. Increasing: x < 7; decreasing: x > 7
b. Increasing: x < -7; decreasing: x > -7
c. Increasing: x > 1; decreasing: x < 1
d. Increasing: x < 1; decreasing: x > 1

Solution 1

The answer is A) Increasing: x < 7; decreasing: x > 7

Question

Janet Smith is shopping for a new sport utility vehicle. A portion of the sticker for an SUV is shown. What is the sticker price?

Solution 1

The sticker price will be known once the price of the vehicle is presented. Then there'll be some variables that will represent the sticker price. The question lacks given.

Question

Solve for x in the equation x^2+10+25=35

Solution 1

X^2+10+25=35 if you put all numbers on one side it's:

x^2=35-10-25

x^2=0 square root

x=0

x^2=35-10-25

x^2=0 square root

x=0

Question

What is 644 divide by 8 times 8.

Solution 1

644 divided by (8 x 8) (8x8) equals 61 so 644 divided 61 equals 10.557377049

Solution 2

The answer would be 644 because you divided 8 which would equal 80.5 and then you multiply that by 8 you get 644.

Question

A ________________ event has a 100% chance of occurring. Example: Picking a red ball from a bag of only red balls.

Solution 1

We have been given that probability of the even is 100%. In other words we can say that the probability is 1. **It means that the event will certainly occur.**

Now, we know that the highest value of probability is 1 and lower value is 0.

Mathematically, we can represents it as

If the probability is 0 then the event will never occur.

And if the probability is 1 then event will definitely occur.

Therefore, A **certain** event has a 100% chance of occurring.

Solution 2

Certain event is the answer

Question

**MARKING BRAINLIEST IF RIGHT AND IF YOU SHOW WORK** 3. Use the Fermi process to estimate the number of bricks needed to fill an empty bathtub. Show your work.
My teacher said you can use approximate dimensions of the bricks and bathtub. He said use the easiest ones so that it will be easy to solve.

Solution 1

Bath tub: 60 x 30 x 18

brick: 8 x 4 x 2

fermi process:

(60 x 30 x 18) / (8 x 4x 2)

= 32,400 / 64

= 506.25

estimated as 500 bricks

brick: 8 x 4 x 2

fermi process:

(60 x 30 x 18) / (8 x 4x 2)

= 32,400 / 64

= 506.25

estimated as 500 bricks

Question

Which statement follows from the given theorem? Theorem: The diagonal of a parallelogram divides it into two congruent triangles. A. Diagonals of a parallelogram bisect opposite angles.
B. Consecutive sides of a parallelogram are congruent.
C. Consecutive angles of a parallelogram are congruent.
D. Consecutive angles of a parallelogram are supplementary.

Solution 1

**Answer with explanation:**

**Theorem :** The diagonal of a parallelogram divides it into two congruent triangles.

Properties of parallelogram

1. Opposite sides are equal and parallel.

2. Diagonal bisect each other.

3. Opposite Angles are equal.

If you will look at the first three options

A: Diagonals of a parallelogram bisect opposite angles.→→False**(Alternate angles are equal)**

B: Consecutive sides of a parallelogram are congruent.→→→False**(Opposite sides are congruent)**

C: Consecutive angles of a parallelogram are congruent.→→→False**(Opposite angles are congruent)**

D: **Consecutive angles of a parallelogram are supplementary.→→→→True**

For,any parallelogram, having vertices , A, B and C and D

Opposite sides are parallel, so

1.∠A + ∠B=180°

2.∠C + ∠B=180°

3.∠C+ ∠D=180°

4. ∠A + ∠D=180°

**Option D**

Solution 2

**Answer:**

Opposite sides of a parallelogram are congruent.

**Step-by-step explanation:**

Question

A typist charges $0.90 a page and averages 45 pages per work day. If she works 3 days a week, how much does she earn in a week?

Solution 1

The answer to this problem is 121.5

Question

The path of a rocket ship is given by the parametric equations x(t)=3t and y(t)=4t^2+1, where t is the time in seconds after launch. Where is the ship after 10 seconds? A.) (3,4)
B.) (3,5)
C.) (30,401)
D.) (30,501)

Solution 1

X(t)=3t

y(t)=4t^2+1

Time (seconds):

Where is the ship after 10 seconds?

t=10→Position: Point: P=(x(t), y(t))=(x(10), y(10))=?

t=10→x(10)=3(10)→x(10)=30

t=10→y(10)=4(10)^2+1=4(100)+1=400+1→y(10)=401

Position: P=(x(10), y(10))=(30, 401)

Answer: Option C.) (30, 401)

y(t)=4t^2+1

Time (seconds):

Where is the ship after 10 seconds?

t=10→Position: Point: P=(x(t), y(t))=(x(10), y(10))=?

t=10→x(10)=3(10)→x(10)=30

t=10→y(10)=4(10)^2+1=4(100)+1=400+1→y(10)=401

Position: P=(x(10), y(10))=(30, 401)

Answer: Option C.) (30, 401)

Question

All of the following represent the same expression except _____. -8ab
-8(a)(b)
8 - ab
-8 · a · b

Solution 1

An **expression** is a way of writing a statement with more than two **variables** or **numbers** with **operations** such as addition, subtraction, multiplication, and division.

The **expression** that is **not** **the same** as the rest of the **expressions** is

**8 - ab.**

Option C is the answer.

An **expression** is a way of writing a statement with more than two **variables** or **numbers** with **operations** such as addition, subtraction, multiplication, and division.

Example:

2 + 3x + 4y = 7 is an **expression**.

3x - 5 is an **expression**.

4x + 4 is an **expression**.

4 x 5 - 5x is an **expression**.

We have,

**1) -8ab**

**2) -8 (a) (b) **

= -8ab

**3) 8 - ab**

**4) -8.a.b **

= -8ab

We see that,

All the **expressions** are the **same** **except** the **expression**

**8 - ab**

Thus,

The **expression** that is **not** **same** with the rest of the **expression** is

**8 - ab.**

Option C is the answer.

Learn more about **expressions** here:

#SPJ5

Solution 2

All of them are multiplying except for

8 - ab

looks like subtraction to me

hope that helps

8 - ab

looks like subtraction to me

hope that helps

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