Graph the first six terms of a sequence where a1 = -10 and d = 3

Answer:

1: B

2: A

3: D

4: C

Step-by-step explanation:

In order to find the unit rate you have to divide the first number by the second number. You divide the first number because it is the gallons you are trying to find PER minute. In this case you are dealing with fractions which means you have to multiply the first number by the reciprocal of the second number.

Example 1:

3/4 ÷ 1/2

3/4 x 2/1

= 3/2

= 1 1/2

Example 2:

1 1/2 ÷ 1/2

3/2 ÷ 1/2

3/2 x 2/1

= 6/2

= 3

Answer:

=6x−3

Step-by-step explanation:

Let's simplify step-by-step

4x+3(2x−1)−4x

Distribute:

=4x+(3)(2x)+(3)(−1)+−4x

=4x+6x+−3+−4x

Combine Like Terms:

=4x+6x+−3+−4x

=(4x+6x+−4x)+(−3)

=6x+−3

Answer:

6x - 3

Step-by-step explanation:

4x + 3(2x - 1) - 4x

Distribute, multiply every term inside the parenthesis by the term outside of it,

4x + (3)(2x) + (3)(-1) - 4x

Simplify,

4x + 6x - 3 - 4x

Simplify further, combine like terms,

6x - 3

Answer:

(2,10) (4,20) (6,30) (8, 40)

Step-by-step explanation:

every minute, the pool fills up with 5 gallons.

if you look at the points, you will see a pattern

Answer:

area of rectangle : 180 sq ft

area of triangle : 30 sq ft

area of entire composite figure : 210 sq. ft

Step-by-step explanation:

rectangle : 15*12= 180

triangle : 15*4=60 /2 = 30

entire : 180 + 30 = 210

Answer: (x+3)^2+(y-4)^2=49

The answer is b :)

Step-by-step explanation:

Answer:

Factored expression:  -15 (2x + 1)

Answer:

The value of the car decreased by 16 percent.

Step-by-step explanation:

First I divided 15,540 by 18,500, and I got .84. Then, I subtracted .84 from 1, and got .16. Then I turned .16 into a percent, and got 16%.

Answer:

QR ≈ 5.7 ft

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos29° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{QS}{QR}[/tex] = [tex]\frac{5}{QR}[/tex] ( multiply both sides by QR

QR × cos29° = 5 ( divide both sides by cos29° )

QR = [tex]\frac{5}{cos29}[/tex] ≈ 5.7 ( to the nearest tenth )

Answer:

No i does not well it will be 0,5 or any other number but the x wont change

Step-by-step explanation:

Answer:

[tex]AC=5[/tex]

Step-by-step explanation:

From the question we are told that:

Dimensions

[tex]AD=4\\BD=6[/tex]

Generally the equation for these similar right triangle is mathematically given by

[tex]\frac{AC}{AB}=\frac{AB}{AD}=\frac{BC}{BD}[/tex]

[tex]\frac{AC}{AB}=\frac{AB}{AD}[/tex]

Where

[tex]AD=x[/tex]

[tex]AC=x+4[/tex]

Therefore

[tex]AB^2=x(x+4)[/tex]

Generally the Pythagoras equation for [tex]\triangle[/tex]ADB is mathematically given by

[tex]AB^2=BD^2+AD^2[/tex]

[tex]x(x+4)=4+x^2[/tex]

[tex]x(x+4)-(4+x^2)=0[/tex]

[tex]x^2+4x)-(4+x^2)=0[/tex]

[tex]4x-4=0[/tex]

[tex]x=1[/tex]

Therefore

[tex]AC=x+4[/tex]

[tex]AC=1+4[/tex]

[tex]AC=5[/tex]

Answer:

[tex]\left[\begin{array}{ccc}1&2\\6&7\end{array}\right]\cdot \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}0\\-10\end{array}\right][/tex]

Step-by-step explanation:

The system of equation in matrix form is defined by following vector formula:

[tex]\vec A \cdot \vec x = \vec b[/tex] (1)

Where:

[tex]\vec A[/tex] - Matrix of coefficients.

[tex]\vec x[/tex] - Column vector of variables.

[tex]\vec b[/tex] - Column vector of results.

If we know that [tex]x + 2\cdot y = 0[/tex] and [tex]6\cdot x + 7\cdot y = -10[/tex], then the system of equations in matrix form is:

[tex]\vec A = \left[\begin{array}{ccc}1&2\\6&7\end{array}\right][/tex], [tex]\vec x = \left[\begin{array}{ccc}x\\y\end{array}\right][/tex], [tex]\vec b = \left[\begin{array}{ccc}0\\-10\end{array}\right][/tex]

Then,

[tex]\left[\begin{array}{ccc}1&2\\6&7\end{array}\right]\cdot \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}0\\-10\end{array}\right][/tex]

9514 1404 393

Answer:

  54 cm²

Step-by-step explanation:

Each of the 6 faces of the cube has an area that is ...

  A = s² = (3 cm)² = 9 cm²

Then the area of the cube is ...

  6 × 9 cm² = 54 cm²

Answer:

Answer:

54 cm²

Step-by-step explanation:

Each of the 6 faces of the cube has has an area that is ...

Then the area of the cube is ...

Answer:

Step-by-step explanation:

Answer:

Lower and upper quartiles(B)

Step-by-step explanation:

Answer:

10.50

Step-by-step explanation:

16.50-6

Answer:

B) 16x² - 40x + 25

Step-by-step explanation:

1) Use square differences: (a - b)² = a² - 2ab + b².

[tex](4x)^{2} - 2 \times 4x \times 5 + {5}^{2} [/tex]

2)Use Multiplication Distributive Property: (xy)^a = x^a y^a.

[tex] {4}^{2} {x}^{2} - 2 \times 4x \times 5 + {5}^{2} [/tex]

3) Simplify 4² to 16.

[tex]16 {x}^{2} - 2 \times 4x \times 5 + {5}^{2} [/tex]

4) Simplify 5² to 25.

[tex]16 {x}^{2} - 2 \times 4x \times 5 + 25[/tex]

5) Simplify 2 × 4x × 5 to 40x.

[tex] {16x}^{2} - 40x + 25[/tex]

Thus, the Anwer is Option B) 16x² - 40x + 25 .

Answer:

1.) Hypotenuse.

The hypotenuse is the longer side.

2.)Leg

Answer:

1.) Hypotenuse

2.) Leg

Step-by-step explanation:

The legs or bases of a triangle are the sides connected to the right angle.

The hypotenuse is the side across from the right angle and is always the longest side.

Answer:

B. 68 square cm

Step-by-step explanation:

0.5 x 6 x 5 = 15

5 x 7 = 35

9 x 2 = 18

15+35+18 =68

Answer:

r=1.681793,−1.681793

Step-by-step explanation:

Answer:

a=0

b=-8

c=-16

d=0

e=-3

f=-6

Step-by-step explanation:

Answer:

x = 20

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the angles in the triangle and equate to 180

2x + x + 30 + 90 = 180

3x + 120 = 180 ( subtract 120 from both sides )

3x = 60 ( divide both sides by 3 )

x = 20

Answer:

3 m

Step-by-step explanation:

sum the parts of the ratio, 1 + 2 + 5 = 8 parts

Divide the length by 8 to find the value of one part of the rope

24 m ÷ 8 = 3 m ← value of 1 part of the ratio

Thus the shortest piece is 3 m

The required length of the shortest piece is 3 meters.

Given that,
A rope 24m long is divided into three pieces in a ratio of 1:2:5. The length of the shortest piece in meters is​ to be determined.

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Here,
let the required proportion is equal to x,
then,

x + 2x + 5x = 24
8x = 24
x = 3

Now the lengths
x = 3 meter
2x = 6 meter
5x = 15 meter

Thus, the required length of the shortest piece is 3 meters.

Learn more about Ratio here:

brainly.com/question/13419413

#SPJ5

Answer:

Its C

Step-by-step explanation:

Answer:

1.2 miles

Step-by-step explanation:

Morning laps = 3.5 laps

Evening laps = 1 lap

Total miles jogged = 5.4 miles

Total laps made = (3. 5 + 1) = 4.5 miles

Number of miles per laps covered :

Total miles jogged / number f lapses hugged around pond.

= 5.4 miles / 4.5

= 1.2 miles

Therefore, number of miles per round around the pond is 1.2 miles

Answer:

24

Step-by-step explanation:

Answer: Equals 24! Have a great day!

Answer:

It's 28

Step-by-step explanation