All categories

3 years ago

Question 4 Given: f(x) = -3x – 3 and g(x) = x2 + 5 Find (f - g) ().

Mathematics

1 answer:

Aleonysh [2.5K]3 years ago

5 0

Answer:

We get $\mathbf{(f-g)(x)= -x^2-3x-8}$

Step-by-step explanation:

We are given:

$f(x) = -3x - 3\\ g(x) = x^2 + 5$

We need to find (f-g)(x) (assuming there is x in the bracket, i.e. (f - g) () should be (f-g)(x))

We would simply subtract f(x) and g(x)

$(f-g)(x)\\= -3x-3-(x^2+5)\\Multiply\:minus\:sign\:with\:terms\:inside\:the\:bracket\\=-3x-3-x^2-5\\Combining\:like\:terms:\\=-x^2-3x-3-5\\=-x^2-3x-8$

So, We get $\mathbf{(f-g)(x)= -x^2-3x-8}$

You might be interested in

point r is at (3, 1.3) and point t is at (3, 2.4) on a coordinate grid. the distance between the two points is

Irina18 [472]

Hello,

d=√((1.3-2.4)²+0²)=1.1

7 0

3 years ago

What expressions are equivalent to (a^2-16)(a+4)

Eddi Din [679]

Answer:

[(a)^2-(4^2)](a+4)

Step-by-step explanation:

7 0

3 years ago

In 1943, an organization surveyed 1100 adults and asked, "Are you a total abstainer from, or do you on occasion consume, alc

Fynjy0 [20]

Answer:

We conclude that the proportion of adults who totally abstain from alcohol has changed.

Step-by-step explanation:

We are given that in 1943, an organization surveyed 1100 adults and asked, "Are you a total abstainer from, or do you on occasion consume, alcoholic beverages?"

Of the 1100 adults surveyed, 429 indicated that they were total abstainers. In a recent survey, the same question was asked of 1100 adults and 352 in

Let p = proportion of adults who totally abstain from alcohol.

where, p = $\frac{429}{1100}$ = 0.39

So, Null Hypothesis, $H_0$ : p = 39% {means that the proportion of adults who totally abstain from alcohol has not changed}

Alternate Hypothesis, $H_A$ : p $\neq$ 39% {means that the proportion of adults who totally abstain from alcohol has changed}

The test statistics that would be used here One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of adults who totally abstain from alcohol = $\frac{352}{1100}$ = 0.32

n = sample of adults surveyed = 1100

So, test statistics = $\frac{0.32-0.39}{\sqrt{\frac{0.32(1-0.32)}{1100} } }$

= -4.976

The value of z test statistics is -4.976.

Now, at 0.10 significance level the z table gives critical values of -1.645 and 1.645 for two-tailed test.

Since our test statistics doesn't lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the proportion of adults who totally abstain from alcohol has changed.

4 0

3 years ago

A planter box can hold 3, ft of soil. The area of the base of the box is 24 ft. A sketch of the box is shown.

liraira [26]

Answer:

24 divided by 3= 8

8x3=24 ft

7 0

3 years ago

Plot on a number line 4/7

Serjik [45]

Answer:

It will be over 4 and up 7. 4 spaces on the x axis, and 7 spaces on the y axis, the y axis is vertical. Think that the y has a v in it which stands for vertical

Step-by-step explanation:

5 0

3 years ago

Question 4 Given: f(x) = -3x – 3 and g(x) = x2 + 5 Find (f - g) ().​

Question 4 Given: f(x) = -3x – 3 and g(x) = x2 + 5 Find (f - g) ().