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4 years ago

Which values for a b will create infinitely many solutions?

Mathematics

1 answer:

Stels [109]4 years ago

3 0

Answer:

Step-by-step explanation:

Given the 2 equations

4x - Ay = 15 → (1)

- 4x + 6y = B → (2)

The system will have infinitely many solutions if the equations are equal

Multiply (2) by - 1

4x - 6y = - B

Equations are now equal, thus equate coefficients of relevant terms

- Ay = 6y ⇒ A = - 6

- B = 15 ⇒ B = - 15

Thus A = - 6, B = - 15 → D

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Max points!! help please!!! tyyyyy

krek1111 [17]

Answer:

b. 70

Step-by-step explanation:

The Binomial Coefficient can be used to calculate the number of ways objects can be arranged.

<u>Binomial Coefficient</u>

$\displaystyle \rm \binom{n}{r} \: = \:^{n}C_{r} = \frac{n!}{r!(n-r)!}$

The exclamation mark "!" placed after a number means factorial and indicates to multiply all whole numbers from the given number down to 1.

Example: 4! = 4 × 3 × 2 × 1

The Binomial Coefficient gives us the number of ways of picking "r" unordered outcomes from "n" possibilities.

As there are 8 friends ⇒ n = 8.

As each car takes 4 friends ⇒ r = 4.

Substitute these values into the formula:

$\begin{aligned} \implies \displaystyle \rm \binom{8}{4} \: = \:^{8}C_{4} & = \rm \frac{8!}{4!(8-4)!}\\\\ & = \rm \dfrac{8 \times 7\times 6\times 5\times 4\times 3\times 2\times 1}{4\times 3\times 2\times 1\times 4\times 3\times 2\times 1}\\\\ & = \rm \dfrac{8 \times 7\times 6\times 5}{4\times 3\times 2\times 1}\\\\ & = \rm \dfrac{1680}{24}\\\\ & = \rm 70\end{aligned}$

Learn more about the binomial coefficient here:

brainly.com/question/27802390

brainly.com/question/27800539

6 0

1 year ago

Read 2 more answers

Please help me i will give Brainly

Degger [83]

Answer:

Step-by-step explanation:

$\frac{3x + 5}{2x + 7}$ = 5

do cross multiplication

3x + 5 = 5(2x + 7)

3x + 5 = 10x + 35

5 - 35 = 10x - 3x

-30 = 7x

-30/7 = x

20 A

since there are 7 angles given it means that the polygon is heptagon as heptagon has 7 sides.

sum of interior angle of heptagon = (n-2)*180

(7-2)*180

5*180

900

Now ,

110 + 90 + 150 + 102 + 110 + 170 + x = 900

732 + x = 900

x = 900 - 732

x = 168 degree

20 B

since 5 angles are given it means that the polygon is pentagon as pentagon has 5 sides.

sum of interior angles of a pentagon = (n-2)*180

(5-2)*180

3*180

540 degree

Now ,

110 + 95 + 120 + 114 + x = 540

465 + x = 540

x = 540 - 465

x = 75 degree

let one rational number be x

according to the question,

1/7 * x = 2

x/7 = 2

do cross multiplication

x = 14

6 0

3 years ago

Solve the compound inequality.<br> x+3<0 or 5x>−10

IgorC [24]

Answer:

$x + 3 < 0 \: \: or \: \: 5x > - 10 \\ \\ x < - 3 \: \: or \: \: x > - 2 \\ \\ { \boxed{ \: \: - 3 < x < - 2 \: \: }}$

5 0

3 years ago

Read 2 more answers

Simplify 6m2n3 – 3m3n2 + 8m2n3 + 12m3n2

NISA [10]

Hello! Hope I can assist you.

Let us simplify some terms first!

$6m\cdot \:2n\cdot \:3 \ \textgreater \ 36mn$
$3m\cdot \:3n\cdot \:2 \ \textgreater \ 2\cdot \:3^2mn$
$8m\cdot \:2n\cdot \:3 \ \textgreater \ 48mn$
$12m\cdot \:3n\cdot \:2 \ \textgreater \ 72mn$

$36mn-2\cdot \:3^2mn+48mn+72mn$

From here, group like terms
$36mn-2\cdot \:3^2mn+48mn+72mn$

$\mathrm{Add\:similar\:elements:}\:36mn+48mn+72mn=156mn$
$156mn-2\cdot \:3^2mn$

$2\cdot \:3^2mn \ \textgreater \ 2\cdot \:9mn \ \textgreater \ 18mn$

$156mn-18mn$

$\mathrm{Add\:similar\:elements:}\:156mn-18mn=138mn$

Hope this helps!

6 0

3 years ago

A number cube is rolled once. Answer these questions below?

Yakvenalex [24]

Answer:

1/2

Step-by-step explanation:

1) the sample space is 1 through 6

2) numbers less than 4 on the number cube 1, 2, and 3 3#s

total amount of #s is 6

probability = numbers less than 4/total amount of #s:

3/6

1/2

6 0

3 years ago