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2 years ago

How do I solve this and put it in interval notation?

Mathematics

1 answer:

goblinko [34]2 years ago

8 0

You cannot take the square root of a negative number so the radicals must be greater than or equal to-1.
9-10x≥0
-10x≥-9
x≤9/10

{x|x≤-10}

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Find a vector 3 units long in the opposite direction from v = 〈3, 1,-4).

lutik1710 [3]

Unit vector along the direction v = <3,1,-4> is :

$\hat{v} = \dfrac{3i + j -4k}{\sqrt{3^2 + 1^2 + 4^2}}\\\\\hat{v} = \dfrac{3i + j -4k}{5.1}$

So, unit vector opposing the $\hat{v}$ is :

$\hat{v'} = -\hat{v}\\\\\hat{v'} = -( \dfrac{3i + j -4k}{5.1})\\\\\hat{v'} = \dfrac{-3i - j +4k}{5.1}$

so, vector of magnitude 3 units in opposite direction from v is :

$\vec{V} = 3\hat{v'}\\\\\vec{V} = \dfrac{3}{5.1}( -3i -j+4k)$

Hence, this is the required solution.

5 0

3 years ago

Write the ratio as a fraction in lowest terms. 22 to 11 1/2

fiasKO [112]

Answer:

22/1 & 23/2

Step-by-step explanation:

3 0

2 years ago

Given the line below. Write the point-slope form of the given line that passes through the points (0, 3) and (4, 0). Identify (x

jeka57 [31]

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~{{ 0}} &,&{{ 3}}~) 
% (c,d)
&&(~{{4}} &,&{{ 0}}~)
\end{array}
\\\\\\
% slope = m
slope = {{ m}}\implies 
\cfrac{\stackrel{rise}{{{ y_2}}-{{ y_1}}}}{\stackrel{run}{{{ x_2}}-{{ x_1}}}}\implies \cfrac{0-3}{4-0}\implies -\cfrac{3}{4}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-3=-\cfrac{3}{4}(x-0)$

4 0

3 years ago

At a local pizza place, the cost of a large cheese pizza is $13.99. Each additional topping is $1.25. The Tigerd family orders a

juin [17]

Answer:

$18.99

Step-by-step explanation:

Step 1: Take the per topping amount ($1.25) and multiply it by the amount of toppings (4). $1.25x4=$5

Step 2: Add your toppings total ($5) to the base pizza cost ($13.99). $13.99+$5=$18.99

8 0

2 years ago

How do you solve for the x ?

Maru [420]

Answer:

x = -8

Step-by-step explanation:

these angles are vertical, therefore they are equal

x + 78 = 70

x = -8

4 0

2 years ago