(a) Type an equation and (b) solve. Type the answers in the spaces provided. In the basketball championship game, the Falcons had three fewer than twice as many Bears players. If the Falcons had 11 players, how many players were on the Bears? (Use b as the variable.) (a) (b) Bears:

Step-by-step explanation:

Given

x² - 9x + 20

= x² - ( 4 + 5) x + 20

= x² - 4x - 5x + 20

= x ( x - 4) - 5 ( x - 4)

= (x - 4)(x - 5)

Hope it will help you :)

Answer:

x^2 -9x+20

Step-by-step explanation:

........

Answer:

0.07017

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

(12x+1))+(5x-3)=117

conbine like terms

17x-2=117

     +2 +2

17x=119

/17    /17

x=7

Answer:

C.

Step-by-step explanation:

Answer:

Second number line represents the [X-5]=1.

Step-by-step explanation:

Given : [X-5]=1 .

To find : Which number line represents the solutions to [X-5]=1.

Solution : We have given that [X-5]=1.

We can se the value x-5 is inside the modulus it may be positive or negative.

So, we will do it by both cases.

1) (x - 5) = 1

On adding by 5 both sides.

x = 1+5 = 6

x = 6.

2) if -(x-5) = 1

remove parenthesis

-x +5 = 1

On subtracting by 5 both side

-x = -4

On dividing by -1 both side

x = 4.

So , x = 4, 6.

Therefore , the second number line represents the [X-5]=1.

Answer:

D

Step-by-step explanation:

27÷3=9

9514 1404 393

Answer:

  c  4 times

Step-by-step explanation:

If the side lengths of the original triangle are AB, BC, and CA, then those of the dilated triangle are 4AB, 4BC, 4CA.

The sums of these are the perimeters.

  P = AB +BC +CA

  perimeter of XYZ = 4AB +4BC +4CA = 4(AB +BC +CA) = 4P

The perimeter of XYZ is 4 times the perimeter of ABC.

Answer: The answer is 18 feet

Answer:

(i) The distance between B and C is approximately 552.9 m

(ii) ∠ACB is approximately 40.49°

(iii) The bearing of C from B is approximately 184.49°

(iv) The shortest distance from A to BC is approximately 331.155 m

Step-by-step explanation:

The given parameters are;

The length of segment AB = 370 m

The length of segment AC = 510 m

The bearing of B from A = 68°

The bearing of C from A = 144°

(i) From the bearing of B from A = 68° and the bearing of C from A = 144°, we have;

∠BAC = 144° - 68° = 76°

∠BAC = 76°

Let A represent ∠BAC, c represent segment AB, b represent segment AC, and a represent segment BC, by cosine rule, we have;

a² = b² + c² - 2·b·c·cos(A)

By substituting the known values, we get;

a² = 510² + 370² - 2 × 510 × 370 × cos(76°)

a² ≈ 397000 - 91301.3234 ≈ 305698.677

BC = a ≈ √(305,698.677) ≈ 552.9

The distance between B and C, BC ≈ 552.9 m

(ii) By sine rule, we have;

a/(sin(A) = b/(sin(B)) - c/(sin(C))

Therefore;

552.9/(sin (76°)) = 370/(sin(C))

sin(C) = 370/(552.9/(sin (76°))) ≈ 0.649321

C = arcsine(0.649321) ≈ 40.49°

∠C = ∠ACB ≈ 40.49°

(iii) Angle ∠B = ∠ABC = 180° - 76° - 40.49° ≈ 63.51°

The bearing of A from B = 360° - (180° - 68°) = 248°

Therefore, the bearing of C from B ≈ 248° - 63.51° ≈ 184.49°

(iv) The shortest distance from A to BC = 370 m × sin(63.51°) ≈ 331.155 m

Answer:

Step-by-step explanation:

this is a difference of two squares.. so you need a changing sign in the two parenthesis  ( - ) ( + )  like that form  and you'll need two 5  and two 8   each with an x and y   sooo  B looks pretty good

Answer:

4 gallon = 16 quarts

Step-by-step explanation:

Consider the provided information.

We need to convert gal into qt

We know that 1 gallon = 4 quarts

Now in the given question, we have 4 gal.

Multiply both the sides by 4

1×4 gallon = 4×4 quarts

4 gallon = 16 quarts

Hence, 4 gallon is equal to 16 quarts.

Answer:

B

Step-by-step explanation:

A triangle always has a degree total of 180. x+y=116 180-116=64 therefore the last angle, angle c, must be 64 degrees.

Answer: B. 64 degrees

Step-by-step explanation:

∠C = 180° - (∠X + ∠Y)

∠C = 180° - (32° + 84°) = 180° - 116° = 64°

Step-by-step explanation:

y = Total number of miles driven

= Number of days * Number of miles per day

= (x) * (300).

Therefore the equation is y = 300x.

When x = 2, y = 300(2) = 600.

The Nguyen family drove 600 miles during the 2 days.

Answer:

-6

Step-by-step explanation:

(-6)(0)-6=-6

I hope this helps you

Answer:

3[tex]\sqrt{3}[/tex] and [tex]\sqrt{7}[/tex]

Step-by-step explanation:

Simplifying surds is similar to collecting like terms in algebra.

If the surds have the same value then collect them by adding/ subtracting their coefficients.

(a)

[tex]\sqrt{3}[/tex] (7 - 2 + 1 - 3)

= [tex]\sqrt{3}[/tex] (3)

= 3[tex]\sqrt{3}[/tex]

(b)

[tex]\sqrt{7}[/tex] (5 + 4 - 8)

= [tex]\sqrt{7}[/tex] (1)

= [tex]\sqrt{7}[/tex]

Answer:

f (8) = 30

Step-by-step explanation:

[tex]f(x)=4x-2\\\\f(8)=4(8)-2\\\\f(8)=32-2\\\\\boxed{f(8)=30}[/tex]

Hope this helps.

Answer: The slope is -1.4

Step-by-step explanation:

m = y2 - y1 / x2 - x1

5 - (-2) / -1 - 4

5 + 2 / -1 - 4

7/-5 (Rise over run)

-1.4 (Slope)

Answer: 7/8

Step-by-step explanation: First you have to multiple 3/4 by 2 so it would be 6/8 and then add it to the 1/8 and it'll be 7/8 correct me if I'm wrong.

Answer:

Addition.

Step-by-step explanation:

you can just use that to figure out how many coins he has. he has a 1.75 add 9.20 and i think thats your answer

Answer:

4x +  -6.03 = 2.07

Step-by-step explanation:

first one:

there are four big white boxes so that equals 4x

6 negative ones so its -6

3 negative 0.1 so its -0.3

add up 06 and -0.3 and that's -6.03

second one:

there are two squares that each equal one so that would be two and add the 7 0.1's and that will be 2.07

Answer:

i belive it is 2:5

Step-by-step explanation:

this is because 2 and 3 represent both the corn and flour the sum is the total

Step-by-step explanation:

152 = 8(3a - 2)

152 = 8 × 3a - 8 × 2

152 = 24a - 16

152 + 16 = 24a

168 = 24a

a = 168/24

a = 7

Answer:

-7

Step-by-step explanation:

152=8(3a-2)

8(3a-2)=152

8(3a-2)/8=(152){8)

3a-2=19

3a-2+2=19+2

3a=21

3a/3=21/3

a=-7

Answer:4 tacos for 3.40 dollars

Step-by-step explanation:

Answer:

f(10) = 20

Step-by-step explanation:

Since the x is defined, you can plug it in, x=10.

Substitute the x with 10, f(10) = 3(10)-10.

Then, simply the equation, f(10) = 20.

Answer:

b=3.464 a=2.121

Step-by-step explanation: