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3 years ago

Is 7 a solution for -7 = -56 + 7t yes or no

Mathematics

2 answers:

Neporo4naja [7]3 years ago

5 0

Answer:

yes

Step-by-step explanation:

multiply 7x7 and you will get 49. Then do 49- 56 and you will get -7. So the statement is true.

Dahasolnce [82]3 years ago

5 0

Answer:

Step-by-step explanation:

$\bold{METHOD\ 1:}\\\\\text{Put}\ t=7\ \text{to the equation}\ -7=-56+7t,\ \text{and check equality}\\\\-7=-56+7(7)\\-7=-56+49\\-7=-7\qquad\bold{CORRECT}$

$\bold{METHOD\ 2:}\\\text{solve the equation:}\\\\-7=-56+7t\qquad\text{add 56 to both sides}\\\\-7+56=-56+56+7t\\\\49=7t\qquad\text{divide both sides by 7}\\\\\dfrac{49}{7}=\dfrac{7t}{7}\\\\7=t\to t=7$

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What is the horizontal asymptote of the rational function f(x) = 3x / (2x - 1)?

-BARSIC- [3]

Answer:

Step-by-step explain

Find the horizontal asymptote for f(x)=(3x^2-1)/(2x-1) :

A rational function will have a horizontal asymptote of y=0 if the degree of the numerator is less than the degree of the denominator. It will have a horizontal asymptote of y=a_n/b_n if the degree of the numerator is the same as the degree of the denominator (where a_n,b_n are the leading coefficients of the numerator and denominator respectively when both are in standard form.)

If a rational function has a numerator of greater degree than the denominator, there will be no horizontal asymptote. However, if the degrees are 1 apart, there will be an oblique (slant) asymptote.

For the given function, there is no horizontal asymptote.

We can find the slant asymptote by using long division:

(3x^2-1)/(2x-1)=(2x-1)(3/2x+3/4-(1/4)/(2x-1))

The slant asymptote is y=3/2x+3/4

6 0

3 years ago

Read 2 more answers

Which graph shows a system of equations with no solutions?

podryga [215]

Graph of Parallel lines shows a system of equations with no solutions

Step-by-step explanation:

Consider a set of equations

$7x - 2y = 16\\21x + 6y =24$

If we solve this both equations using any one of the solving method, (Substitution method) then we will get

$7x-2y=16\\7x=16+2y\\x=\frac{16+2y}{7}$

substituting the following x in 2nd equation (21x + 6y = 24) We get

$21(\frac{16+2y}{7} )+6y=24\\3(16+2y)+6y=24\\48+6y+6y=24\\12y=24-48\\y=-\frac{24}{12} \\y=-2$

Put y= -2 in x equation

$x=\frac{16+2(-2)}{7}\\ x=\frac{16-4}{7}\\\x=\frac{12}{7} \\x=1.71$

Comparing these (x,y) values we can understand that they never meet at a point

4 0

2 years ago

what is the coordinate of the vertex of the parabola y-2=1/12(x+10) a. ( 10,-2) b. (-10,2) c. (-2,10) d. (2.-10)

solniwko [45]

Answer:

$y-a= c(x-b)^2$

With the vertex $V= (b,a)$

We see that b = -10 and a = 2 and then the vertes wuld be:

$V= (-10,2)$

And the best option is:

b. (-10,2)

Step-by-step explanation:

For this problem we have the following function:

$y-2 = \frac{1}{2} (x+10)$

And if we compare this expression with the general expression for a parabola given by:

$y-a= c(x-b)^2$

With the vertex $V= (b,a)$

We see that b = -10 and a = 2 and then the vertes wuld be:

$V= (-10,2)$

And the best option is:

b. (-10,2)

4 0

3 years ago

Help, will mark brainliest!! and give 5 stars this is due 2day!!

Leto [7]

11. brother = ???

???- 12 = 14

14+12=26

brother is 26.

12. 21.35 - 8.95 = 12.4

cost of colored pencils = $12.40

13. 37- 8 = 29

14. $95 - $73 = $22

6 0

2 years ago

Suppose James randomly draws a card from a standard deck of 52 cards. He then places it back into the deck and draws a second ca

qwelly [4]

Answer:

1.92%

Step-by-step explanation:

The probability for first case, picking a queen out of deck, will be:

$\frac{4}{52}$

as there will be 4 queens in a deck, one of each suit.

For the second pick, the probability of picking a diamond card, will be:

$\frac{13}{52}$

here the total will remain 52 as he has replaced the first card and not kept it aside and there will be 13 cards in diamond suit (including the three face cards).

Thus the net probability for both cases will be:

$P = \frac{4}{52} * \frac{13}{52}\\ P = \frac{1}{52}\\ P = 0.01923\\P = 1.923\%\\\\P = 1.92\%$

Thus total probability for the combined two cases will be 1.92%

7 0

3 years ago