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3 years ago

Solve the linear inequality below. 9x – 8 > 4x + 7

Mathematics

2 answers:

navik [9.2K]3 years ago

7 0

Answer:

9x-4x>7+8

5x > 15

X >3

So the answer is x >3

Anna71 [15]3 years ago

5 0

Answer:

Step-by-step explanation:

9x-4>4x+7

-4x

5x-4>7

5x>11/5

x>2.2

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Amy is pulling a wagon with a force of 30 pounds up a hill at an angle of 25°. Give the force exerted on the wagon as a vector a

Fofino [41]

Answer:

Vector (ordered pair - rectangular form)

$\vec F = (27.189,12.679)\,[lbf]$

Vector (ordered pair - polar form)

$\vec F = (30\,lbf, 25^{\circ})$

Sum of vectorial components (linear combination)

$\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N]$

Step-by-step explanation:

From statement we know that force exerted on the wagon has a magnitude of 30 pounds-force and an angle of 25° above the horizontal, which corresponds to the +x semiaxis, whereas the vertical is represented by the +y semiaxis.

The force ( $\vec F$ ), in pounds-force, can be modelled in two forms:

Vector (ordered pair - rectangular form)

$\vec F = \left(\|\vec F\|\cdot \cos \theta, \|\vec F\|\cdot \sin \theta\right)$ (1)

Vector (ordered pair - polar form)

$\vec F = \left(\|\vec F\|, \theta\right)$

Sum of vectorial components (linear combination)

$\vec {F} = \left(\|\vec F\|\cdot \cos \theta\right)\cdot \hat{i} + \left(\|\vec F\|\cdot \sin \theta \right)\cdot \hat{j}$ (2)

Where:

$\|\vec F\|$ - Norm of the vector force, in newtons.

$\theta$ - Direction of the vector force with regard to the horizontal, in sexagesimal degrees.

$\hat{i}$ , $\hat{j}$ - Orthogonal axes, no unit.

If we know that $\|\vec F\| = 30\,lbf$ and $\theta = 25^{\circ}$ , then the force exerted on the wagon is:

Vector (ordered pair - rectangular form)

$\vec F= \left(30\cdot \cos 25^{\circ}, 30\cdot \sin 25^{\circ}\right)\,[lbf]$

$\vec F = (27.189,12.679)\,[lbf]$

Vector (ordered pair - polar form)

$\vec F = (30\,lbf, 25^{\circ})$

Sum of vectorial components (linear combination)

$\vec F = (30\cdot \cos 25^{\circ})\cdot \hat{i} + (30\cdot \sin 25^{\circ})\cdot \hat{j}\,[N]$

$\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N]$

8 0

2 years ago

What is the domain of y = cos ^-1x?

Bas_tet [7]

Answer:

Step-by-step explanation:

Correct option is

[1,(1+π)

]

f(x)=(1+sec

−1

(x))(1+cos

−1

(x))

Here the limiting component is cos

−1

(x), since the domain of cos

−1

(x) is [−1,1].

Therefore,

f(1)=(1+0)(1+0)

f(−1)=(1+π)(1+π)

=(1+π)

Hence range of f(x)=[1,(1+π)

]

8 0

2 years ago

A TV has a listed price of $690.95 before tax. If the sales tax rate is 8.75%, find the total cost of the TV with sales tax incl

PSYCHO15rus [73]

Answer:

699.7

Step-by-step explanation:

690.95 + 8.75 = 699.7

8 0

2 years ago

NEED HELP ASAP<br><br> Solve the system of equations: <br> Y=3x+5<br> Y=-2x+20

GenaCL600 [577]

Answer:

Step-by-step explanation:

because

4 0

2 years ago

Read 2 more answers

How do you factor x squared minus 100

Alina [70]

Answer:

(x - 10)(x + 10)

Step-by-step explanation:

x² - 100 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

Hence

x² - 100

= x² - 10² = (x - 10)(x + 10)

6 0

2 years ago