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3 years ago

If (-2, y) lies on the graph of y = 4x, then y = -16 1/16 16

Mathematics

2 answers:

emmasim [6.3K]3 years ago

7 0

Y = 4x
(-2,y).....x = -2

y = 4(-2)
y = -8

Korolek [52]3 years ago

6 0

Answer:

Step-by-step explanation:

(-2, y) lies on the graph of $y = 4^x$

It means for x=-2 we need to find the y =?

means we plug x=-2 in the given equation $y = 4 ^x$

so we get

$y = 4^ (-2)$

$y = \frac{1}{4^2}$

$y = \frac{1}{16}$

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Question 4

astraxan [27]

Answer:

No real roots

Step-by-step explanation:

The given equations are:

$3x-1+2y=0$

$3x^2-y^2+4=0$

We make y the subject in the first equation to get

$y=\frac{1-3x}{2}$

We substitute into the second expression to get:

$3x^2-(\frac{1-3x}{2})^2+4=0$

We expand to get:

$3x^2-\frac{(1-6x+9x^2)}{4}+4=0$

Multiply through by 4 to get:

$12x^2-1+6x-9x^2+16=0$

$3x^2+6x+15=0$

The discriminant is given by $D=b^2-4ac$

$D=3^2-4*12*15$

$D=-711$

Since the discriminant is less than zero, the two curves never intersects.

Therefore the system has no real roots

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kolbaska11 [484]

Answer:

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Step-by-step explanation:

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4 0

3 years ago

Midsegments geometry acellus pls helppfpfpff

Anika [276]

Answer:

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Step-by-step explanation:

The midsegment DF is half the measure of the third side BC , then

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5 0

3 years ago

Categorize the following logical fallacy.

Vlada [557]

Answer:

d. Ad hominem

Step-by-step explanation:

A fallacy can be defined as a mistaken or false belief that are based on illogical arguments or reasoning.

However, a lot of people might actually think it to be true but it isn't. There are various types of fallacy, these include;

I. Black or white.

II. Non sequitur.

III. Appeal to moderation.

IV. Bandwagon.

V. Appeal to authority.

VI. Straw man.

VII. Oversimplification or hasty generalization.

VIII. Appeal to ignorance.

IX. Appeal to pity.

X. Ad hominem.

Ad hominem can be defined as a type of fallacy in which the motive, character, or some other aspect of a person is attacked rather than his or her position.

This ultimately implies that, Ad hominem is typically based on prejudices, emotions, or feelings rather than appealing to reason, intellect or substance.

In this scenario, John Bardeen's research work at the Advanced Institute for Physics has progressed so slowly that even his colleagues call him a plodder. As a result, the speaker concluded that it's prudent at present not to take seriously his current theory on how strings constitute the smallest of subatomic particles. Thus, the logical fallacy described above is an ad hominem because John's slowness in his research work is bone of contention for the speaker rather than analyzing and concentrating on his theory about strings.

3 0

3 years ago

You are estimating the cost of optical sensors based on the resolution of the sensor. You decide to calculate the coefficient of

Mashcka [7]

Answer:

a. 88.70% of the variation in the cost is being explained by the resolution.

Step-by-step explanation:

Given :

Summation of (Yi - Ybar)2 = 147172

Summation of (Yhat - Ybar)2 = 130542

Summation of (Y - Yhat)2 = 16630

The Coefficient of determination (R²) :

Sum of Square regression (SSR) / sum of square TOTAL (SST). It gives the percentage of the dependent variable which can be explained by the regression line.

Cost is the dependent variable in this scenario.

SSR = Summation of (Yhat - Ybar)2 = 130542

SST = Summation of (Yi - Ybar)2 = 147172

Hence,

SSR / SST = 130542 / 147172

R² = 130542 / 147172

R² = 0.8870029 = (0.8870029 * 100%) = 88.7%

3 0

3 years ago