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3 years ago

A line has a slope of and a y-intercept of −5.

2 answers:

8 0

A is wrong because the Y-Intercept: = −13/3

B is correct because y=2/3x-5

c is correct because 6y=4x-30

and lastly D is correct because .(y+3)=2/3(x-3)

Luden [163]3 years ago

6 0

Answer choice A is incorrect as it is missing the variable 'x' in it.

Let's test answer choice B.

y = mx + b

m is the slope
b is the y-intercept

m = 2/3
b = -5

y = (2/3)x - 5

B is one of the answers.

Let's test answer choice C.

6y = 4x -30

y = (4/6)x - 30/6
y = (2/3)x - 5

Answer choice C is also correct.

Let's test answer choice D now.

y = (2/3)x - 5
Plug in (3,-3)
-3 = (2/3)(3) - 5
-3 = 2 - 5
-3 = -3
This is correct, so therefore D is also one of the answers.

Your answer is B, C and D.

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How many roots does 2x^2-7x-5=0 have

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3 years ago

WHAT IS 6 MULTIPLIED 6 + 2 +1

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3 years ago

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What is the following is the solution to the equation 25^(z+2) = 125

maksim [4K]

First, rewrite the equation $25^{z+2} = 125$ with the base equal to 5. Note that:

$25=5^2;$
$125=5^3;$
$25^{z+2}=(5^2)^{z+2}=5^{2\cdot (z+2)}.$

Then

$5^{2\cdot (z+2)}=5^3.$

Since the bases are equal, you have that powers are equal too:

$2\cdot (z+2)=3,\\ \\2z+4=3,\\ \\2z=3-4,\\ \\2z=-1,\\ \\z=-\dfrac{1}{2}.$

Answer: $z=-\dfrac{1}{2}.$

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4 years ago

the sum of the speeds of two trains is 721.6 miles per hour. if the speed of the first train is 8.4 mph faster than that of the

olya-2409 [2.1K]

Subtract the faster speed:

721.6 - 8.4 = 713.2

Divide by 2 trains:

713.2/2 = 356.6

The slower train is going 356.6 miles per hour.

The faster train is going 356.6 + 8.4 = 365 miles per hour.

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3 years ago

El jardinero de un parque planta flores siguiendo cierto patrón. En la primera fila planta 4 flores, en la segunda 7 y así suces

nevsk [136]

Answer:

a) Para $i = 4$ , hay 13 flores en la fila 4.

b) Para $i = 7$ , hay 22 flores en la fila 7.

c) La fila 11 tiene 34 flores.

Step-by-step explanation:

De acuerdo con el enunciado, cada fila tiene tres flores más que la fila inmediatamente anterior, significando que se puede determinar el número de flores de cada fila mediante una serie aritmética:

$n = 4+3\cdot (i-1)$ , $i \ge 1$ (1)