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2 years ago

3

Mathematics

1 answer:

yuradex [85]2 years ago

4 0

9514 1404 393

Answer:

B) y = (x -7)(4x +3)

Step-by-step explanation:

For zeros p and q, factors of the function are (x -p) and (x -q).

For the given zeros, the factors are (x -7) and (x -(-3/4)). By multiplying the latter by 4, we can eliminate the fraction.

y = (x -7)(4x +3)

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Which explains whether or not the function represents a direct variation?

s2008m [1.1K]

Answer:

The function represents a direct variation

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a linear direct variation the line passes through the origin and the constant of proportionality k is equal to the slope m

Let

$A(0,0)$ ------> the line passes through the origin

$B(2,10)$

Find the value of k------> substitute the value of x and y

$y/x=k$ -----> $k=10/2=5$

$C(4,20)$

Find the value of k------> substitute the value of x and y

$y/x=k$ -----> $k=20/4=5$

$D(6,30)$

Find the value of k------> substitute the value of x and y

$y/x=k$ -----> $k=30/6=5$

$E(8,40)$

Find the value of k------> substitute the value of x and y

$y/x=k$ -----> $k=40/8=5$

The value of k is equal in all the points of the table and the line passes through the origin

therefore

The function represents a direct variation

the equation of the direct variation is equal to

$f(x)=5x$

4 0

3 years ago

Read 2 more answers

Factor. (6x+4) 3(2x+1) 3x + 2 2(3x+2) 2(x+2)

jok3333 [9.3K]

Answer:

2(3x+2) is your answer because you factor out 2. The number 2 is a factor of both 6 and 4 (2*3=6 and 2*2=4).

5 0

2 years ago

MATH :(( how do the chart?? <img src="https://tex.z-dn.net/?f=%20-%20x%20%20%5E%7B2%7D%20%20-%209%20%5Cgeqslant%200" id="T

siniylev [52]

Answer:

<h2>no solution</h2>

Step-by-step explanation:

$-x^2-9\geq0\qquad\text{change the signs}\\\\x^2+9\leq0\\\\\text{the parabola}\ x^2\ \text{is op}\text{en up and shifted 9 units up. Therefore is whole}\\\text{over the x-axis (only positive values)}.\\\\\bold{CONCLUSION}:\\\\\bold{no\ solution}$

5 0

3 years ago

Figure EFGHK as shown below is to be transformed to figure E′F′G′H′K′ using the rule

MAVERICK [17]

9514 1404 393

Answer:

(a) (4, 8)

Step-by-step explanation:

Apply the transformation rule to the coordinates of point H.

(x, y) → (x +8, y +5)

H(-4, 3) → H'(-4 +8, 3 +5) = H'(4, 8)

4 0

2 years ago

Tests for tuberculosis like all other diagnostic tests are not perfect. QFT-G is one of such tests for tuberculosis. Suppose tha

Sauron [17]

Answer:

the probability of an adult getting a NEG result and truly having tuberculosis is 0.0127

Step-by-step explanation:

S = the adult really has tuberculosis.

S' = complement of S = the adult does not has tuberculosis.

POS = the test gives a positive result

P(S)= 0.05

P(POS | S)=0.746

P(NEG | S')= 0.7653

this is an intersection because the "and" word

P(NEG ∩ S) = P(NEG| S)*P(S)=(1-P(POS | S))*P(S)=(1-0.746)*0.05=0.0127

6 0

2 years ago