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4 years ago

Three-fourth of x is added to the product of 7 and q. Translate as algebraic expression

Mathematics

2 answers:

Elden [556K]4 years ago

5 0

Answer:

$7q + \frac{3}{4}x$

Step-by-step explanation:

$\begin{array}{rcl}\text{Product of 7 and q} & = & 7q\\\\\text{Three-fourths of x} & = & \frac{3}{4}x \\\\\text{Three fourths of x added to product of 7 and q} & = & 7q + \frac{3}{4}x \\\\\end{array}$

Softa [21]4 years ago

4 0

Answer:

3/4x + (7 × Q)

∆

That's an x not multiplication

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verify that the fucntion satisfies the three hypotheses of rolles theorem on the given interval . then find all numbers c that s

Ghella [55]

The roots of the polynomial x^3 − 2x^2 − 4x + 2 are:

x1 = 0.42801

x2 = −1.51414

x3 = 3.08613

x1 and x2 are in the desired interval [-2, 2]

f'(x) = 3x^2 - 4x - 4

so we have:

3x^2 - 4x - 4 = 0

x = ( 4 +- √(16 + 48) )/6

x_1 = -4/6 = -0.66

x_ 2 = 2

According to Rolle's theorem, we have one point in between:

x1 = 0.42801 and x2 = −1.51414

where f'(x) = 0, and that is x_1 = -0.66

so we see that Rolle's theorem holds in our function.

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3 years ago

a string is 14.9 meters long and needs to be cut into smaller pieces of 0.52 meter each. what is the greatest number of pieces y

alex41 [277]

Answer:

28 pieces

Step-by-step explanation:

14.9 ÷ 0.52 = 28.653

8 0

3 years ago

Read 2 more answers

Please help! 30 points!

Rashid [163]

Answer: $64.2^{\circ}$

Step-by-step explanation:

According to the cosine rule

$\cos C=\dfrac{a^2+b^2-c^2}{2ab}$

Here, $a=83, b=111, c=165,\ C=180^{\circ}-\theta$

Putting values

$\Rightarrow \cos (180^{\circ}-\theta)=\dfrac{83^2+111^2-165^2}{2\times 83\times 111}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{6889+12321-27225}{18426}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{-8015}{18426}=-0.4349\\\\\Rightarrow 180^{\circ}-\theta=\cos^{-1}(-0.4349)=115.77^{\circ}\\\Rightarrow \theta=64.23\approx 64.2^{\circ}$

So, the ship turns by $64.2^{\circ}$ north of west

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3 years ago

Use the following graph of the function f(x) = −3x4 − x3 + 3x2 + x + 3 to answer this question: What is the average rate of chan

Alinara [238K]

the average rate of change is just the slope from (0,f(0)) to (1,f(1))

find f(0) and f(1)

$f(0)=-3(0)^4-(0)^3+3(0)^2+0+3=3$

$f(1)=-3(1)^4-(1)^3+3(1)^2+1+3=-3-1+3+1+3=3$

slope from (0,3) to (1,3) is rise/run=(3-3)/(0-1)=0/-1

the average rate of change from x=0 to x=1 for f(x) is 0

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3 years ago

a single die is rolled one time. Find the probability of rolling a number greater than 4 or less than 3.

Fynjy0 [20]

Answer

The probability of rolling a number of 2 is 1/6 (16.667%)

The probability of rolling a number of 3 is 2/6 (33.33%)

The probability of rolling a number 4 is 3/6 (50%)

The probability of rolling a number 5 is 4/6 (66.667%)

Explanation:
I’m not sure what you were trying to look for. So I put the probability for numbers 2,3,4, and 5. Your welcome, have a great day/night!.

6 0

3 years ago