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3 years ago

Factor completely 2x2 + 9x + 4.

Mathematics

2 answers:

scZoUnD [109]3 years ago

5 0

Answer:

(2x + 1)(x + 4)

Step-by-step explanation:

2x^2+9x+4

Middle factor split needs to equal 8

2x^2+8x+x+4

2x(x-4)(1(x+4)

(x+4)(2x+1)

Elden [556K]3 years ago

3 0

Answer:

(2x + 4) ( x +1 ) are factors .

Step-by-step explanation:

Given : 2x² + 9x + 4.

To find : Factor.

Solution : We have given that 2x² + 9x + 4.

On factoring 2x² + 8x + 1x + 4.

Taking common 2x from first two terms and 1 from last two terms .

2x ( x +4 ) +1 (x +4 ).

On grouping

(2x + 4) ( x +1 ).

Therefore , (2x + 4) ( x +1 ) are factors .

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What is the average rate of change from x= -1 to x = 1 ?

Masteriza [31]

Answer:

-2

Step-by-step explanation:

The average rate of change on an interval is ...

average rate of change = (amount of change)/(width of interval)

= (-3 -1)/(1 -(-1)) = -4/2 = -2

The average rate of change between (-1, 1) and (1, -3) is -2.

3 0

4 years ago

Read 2 more answers

The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean tempera

Bond [772]

Answer:

There is sufficient evidence to support the claim that the mean temperature is different from 42 deg

Step-by-step explanation:

From the given information, we are being told that:

The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean temperature, μ, of 42°F

i. e mean μ = 42

The owner of the brewery does not agree with the refrigerator manufacturer, and claims he can prove that the true mean temperature is incorrect.

Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion in nontechnical terms.

From above;

The null and the alternative hypothesis can be computed as:

$\mathbf{H_o : \mu = 42} \\ \\ \mathbf {H_1 : \mu \neq 42}$

Here , the hypothesis test of the claim is the alternative hypothesis.

The conclusion based on the decision rule: is to reject the null hypothesis

∴

The conclusion in non technical terms is that :

There is sufficient evidence to support the claim that the mean temperature is different from 42 deg

4 0

3 years ago

Which points are on the graph of g(x) = (1/5)^x

11111nata11111 [884]

Answer:

A) The point( -1 , 5) is satisfies the given graph $g(x) = (\frac{1}{5} )^{x}$

B) The point( 3 , 1/125) is satisfies the given graph $g(x) = (\frac{1}{5} )^{x}$

Step-by-step explanation:

Explanation:-

Given graph

y = $g(x) = (\frac{1}{5} )^{x}$

Put the point ( -1 , 5)

Put y =5 and x =-1

$5 = (\frac{1}{5} )^{-1} = 5$

The point( -1 , 5) is satisfies the given graph

ii)

Given graph

y = $g(x) = (\frac{1}{5} )^{x}$

$\frac{1}{125} = (\frac{1}{5} )^{3} = \frac{1}{125}$

The point( 3 , 1/125) is satisfies the given graph $g(x) = (\frac{1}{5} )^{x}$

7 0

3 years ago

The perimeter of a rectangle is 61 feet. The length is 5 more than twice the width. What is the length and width?

DochEvi [55]

Answer:

Length = 22 feet Width= 8.5 feet

Step-by-step explanation:

Perimeter= 61

Let Width= x

Length= 2x+5

Perimeter= 2l + 2w

61= 2(2x+5) + 2x

61 = 2(2x+5+x)

61/2 = 3x+5

30.5 -5 = 3x

25.5 = 3x

25.5/3 =x

x= 8.5

Hence, width = 8.5 feet

Then, the length = 2x+5 = 2(8.5) +5 = 22 feet

Hope this helps!

6 0

3 years ago

During one waiters shift he delivered 13 appetizers, 17 entrées, and 10 desserts what percentage of the dishes he delivered were

Triss [41]

Question

During one waiters shift he delivered 13 appetizers, 17 entrées, and 10 desserts what percentage of the dishes he delivered were: A. Desserts B. Appetizers C. entrees

Answer:

A)Desserts = 25 %

B)Appetizers = 32.5 %

C)Entrées = 32.5 %

Step-by-step explanation:

Given:

Number of appetisers = 13

Number of entrees = 17

Number of desserts = 10

A. percentage of the dishes he delivered were Desserts

Percentage of Desserts = $\frac{\text{ Number of dessert}}{\text{ total number of dishes}} \times 100$