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2 years ago

13

A coordinate grid with a line labeled negative 3 x plus StartFraction one-half EndFraction y equals negative 3 and passes throug

h the points (1, 0) and (0, negative 6).
What value of b will cause the system to have an infinite number of solutions?

y = 6x – b

–3x + StartFraction one-half EndFractiony = –3

b =

2
4
6
8

2 answers:

natali 33 [55]2 years ago

5 0

Answer:

its option C, 6

Step-by-step explanation:

tensa zangetsu [6.8K]2 years ago

3 0

Answer: C

Step-by-step explanation:

Given that the line -3x + y/2 = -3 passes through the points (1, 0) and (0, -6).

First rearrange the equation

-3x + y/2 = -3

Y = 2( 3x - 3 )

Y = 6x - 6 ..... (1)

Also, the slope of points (1, 0) and (0, -6). Will be

M = ( -6 - 0 )/( 0 - 1 )

M = -6/-1

M = 6

Using general linear equation

Y = MX + C

Let Y = 0 and X = 1

0 = 6(1) + C

C = -6

Substitutes C back into the equation

Y = 6x - 6 ...... (2)

The value of b that will cause the system to have infinitely many number of solutions is 6

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Which of the following functions describes the sequence 4, –2, 1, –12, 14, . . .? A. f(1) = 4, f(n + 1) = –2f(n) for n ≥ 1 B. f(

AlekseyPX

Answer: D. $f(1) = 4,\ \ f(n+1)=\dfrac{-1}{2}f(n)$

Step-by-step explanation:

The given sequence: $4, -2,1,\dfrac{-1}{2},\dfrac14,....$

Here, first term: $f(1)=4$

Second term: $f(2)=-2$

Third term : $f(3)=\dfrac{-1}{2}$

It can be observed that it is neither increasing nor decreasing sequence but having the common ratio.

Common ratio: $r=\dfrac{f(2)}{f(1)}=\dfrac{-2}{4}=\dfrac{-1}{2}$

So, $f(n+1)=\dfrac{-1}{2}f(n)$ [as in G.P. nth term= $a_{n+1}=ar^n$ ]

Hence, correct option is D. $f(1) = 4,\ \ f(n+1)=\dfrac{-1}{2}f(n)$

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1 year ago

Tran has a credit card with a spending limit of $2000 and an APR (annual percentage rate) of 12%. During the first month, Tran c

MAXImum [283]

Step-by-step explanation:

Given data:

Tran has a credit card with a spending limit of $2000 and an APR (annual percentage rate) of 12%.

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Here 0.01 because it is 1 month tax.

300 is remaining amount as Tran used $450 but paid $150.

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2 years ago

z+w−3 6z−10w =k =8 consider the system of equations above, where kkk is a constant. for which value of kkk are there i

Reptile [31]

Our system is the following :
$z+w-3=k\\
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1 year ago

Rachel measured the lengths of a random sample of 100 screws. The mean length was 2.9 inches, and the population standard deviat

MaRussiya [10]

Answer:

z = 10

Step-by-step explanation:

The value of the z-statistic is given by:

$z = \frac{X - \mu}{s}$

In which:

X is the measured value.

$\mu$ is the expected value.

$s = \frac{\sigma}{\sqrt{n}}$ is the standard deviation of the sample. $\sigma$ is the standard deviation of the population.

In this question:

The mean length was 2.9 inches, and the population standard deviation is 0.1 inch.

This means that $\mu = 2.9, \sigma = 0.1$

Random sample of 100 screws.

This means that n = 100.

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8 0

1 year ago

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Serga [27]

Answer:

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Step-by-step explanation:

Length of Photo = 4in

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Unknown:

Value of X = ?

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Follow these steps:

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Since the photo is a rectangle; area of photo:

Area of photo = 4in x 3in = 12in²

For the area of the ad;

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Width of ad = 3 + x

Given that,

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Using the almighty formula where

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x = $\frac{-b (+/-) \sqrt{b^{2} } - 4ac}{2a}$

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x = 1.4 or -8.4

therefore the answer is 1.4in

x is 1.4in

4 0

1 year ago