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3 years ago

Which of the following is the function for the graph below and shows the end behavior of the function as x ⟶ +∞?

Mathematics

2 answers:

sladkih [1.3K]3 years ago

6 0

The simplest solution:

y - intercept of the function on the graph is (0; 6).

Only function f(x) = (4x^2 - 7x - 2)(2x - 3) has that y-intercept

f(0) = (4 · 0² - 7 · 0 - 2)(2 · 0 - 3) = (-2)(-3) = 6

Other functions have y - intercept equal (0; -6).

f(0) = (0 ... - 2)(0 + 3) = (-2)(3) = -6 or f(0) = (0 ... + 2)(0 - 3) = (2)(-3) = -6

Grace [21]3 years ago

5 0

The end behaviour is f(x) ---> +∞ because the end of the graph rises to the right so its either B or C

The roots of B are -0.25, 1.5 and 2

( because 4x^2 - 7x - 2 = (4x + 1)(x - 2) and 2x - 3 = 0) ) and these values agree with the graph

Answer is B

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Please please please help!! i need this asap and i have no where else to go!

nadezda [96]

1   1   1       2
2 -3   1 -11 -2R1 + R2 → R2
-1 2 -1 8 R1 + R3 → R3

1 1 1 2
0 -5 -1   -15    R2 ⇔ R3
0 3 0    10

1 1 1 2
0 3 0     10    -R3
0   -5   -1 -15

1 1 1 2
0 3 0     10    1/3 R2
0    5    1    15

1 1 1 2    -R2 + R1
0 1 0     10/3    -5R2 + R3
0    5    1    15

1 0 1 -4/3
0 1 0     10/3    -R3 + R1
0    0    1     -5/3

1 0 0    1/3
0 1 0     10/3
0    0    1     -5/3

Therefore, x = 1/3, y = 10/3, z = -5/3

7 0

3 years ago

Read 2 more answers

Part c

ehidna [41]

The probability that the first slice of the cake will have the marble exists

7/66.

<h3>How to determine the probability using parts A and B?</h3>

Part A of the question demands that the volume of the cake be

estimated.

The volume of the cake exists, $$V=\pi(\frac{d}{2} )^{2} h \\$

$$&V=\pi(\frac{9}{2} )^{2} * 4$

$$V=81 \pi$

The part B of the question requires that the volume of each cut be

computed

The volume of each cut exists, V = 27

To estimate the required probability

We simply divide the volume of each cut by the volume of the cake.

$$P=\frac{27}{81 \pi}$

$$P=\frac{1}{3 \pi}$

Expand $\pi$

$$&P=\frac{7}{3 * 22} \\$

$$&P=\frac{7}{66}$

Therefore, the probability that the first slice of the cake will contain the

marble exists at 7/66.

To learn more about probability refer to:

brainly.com/question/24756209

#SPJ4

4 0

2 years ago

The weight of a boy was 15kg last year. If his weight increases by 3kg this year, find the percentage increase in his weight.

WARRIOR [948]

This year = 18kg
18 x .3= 5.4
The percentage change would be 5.4%. If it needs to be rounded by the nearest tenth, then it would be 5%.
I’m pretty confident this is the answer but I’m not 100% sure. I hope this helps!

4 0

2 years ago

3.75<br>divided by 25<br>round off to the nearest rand

sattari [20]

Answer:

0.15 is the answer

Step-by-step explanation:

7 0

2 years ago

Neal opened a savings account 11 years ago with a deposit of $2,335.69. The account has an interest rate of 4.3% compounded dail

Vinvika [58]

Answer: $1,412.52

Step-by-step explanation:

Formula to calculate the accumulated amount if <em>P</em> principal invested for <em>t </em>years at a rate of interest <em>r</em> that compounded daily is given by:-

$A=P(1+\dfrac{r}{365})^{365t}$

Given: P= $2,335.69

r= 4.3%= 0.043

t= 11 years

Then,

$A=2335.69(1+\dfrac{0.043}{365})^{365\times11}\\\\=2335.69(1+0.000117808219178)^{4015}\\\\=2335.69(1.000117808219178)^{4015}\\\\= 2335.69(1.6047566747)\\\\=3748.09044309\approx3748.21\\\\\Rightarrow\ A=\$3748.21$

Interest earned = A-P

= $3748.21- 2335.69.

= $1412.52

Hence, Neal earned $1,412.52 as interest.

8 0

3 years ago