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3 years ago

12

Each week, Tasha saves 65% of the money she earns babysitting and spends the rest. This week she earned $40. How much money did

she save than spend this week?

1 answer:

Norma-Jean [14]3 years ago

8 0

65% of 40 = 26(saved)
40-26=14(spent)
26-14=12
=$12

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−6 <3n+9 <21. whats the solution

tester [92]

We have

$-6 < 3n+9 < 21$ .

From this we have system of inequality

$-6 < 3n+9 \\3n+9 < 21$

We have to simplify both inequalities

$3n+9 > -6 \Longrightarrow n > -5 \\3n+9 < 21 \Longrightarrow n < 4$

So we can conclude that

$n > -5 \wedge n < 4 \Longrightarrow x\in(-5,4)$

Hope this helps.

5 0

3 years ago

How many points does the given equation have in common with the x-axis and where is the vertex in relation to the x-axis. y=x^2-

Fudgin [204]

Answer:

1. It has two points in common with the x-axis.

2. The vertex in relation to the x-axis is at $x=6$

Step-by-step explanation:

The points that the equation has in common with the x-axis are the points of intersection of the parabola with the x-axis.

To find them, substitute y=0 and solve for "x":

$y=x^2-12x+12\\0=x^2-12x+12$

Use the Quadratic formula:

$x=\frac{-b\±\sqrt{b^2-4ac}}{2a}\\\\x=\frac{-(-12)\±\sqrt{(-12)^2-4(1)(12)}}{2(1)}\\\\x_1=10.89\\\\x_2=1.10$

It has two points in common with the x-axis.

To find the vertex in relation to the x-axis, use the formula:

$x=\frac{-b}{2a}$

Substituting values, you get:

$x=\frac{-(-12)}{2(1)}\\x=6$

3 0

2 years ago

The directex of Y=1/8x^2 is?

nexus9112 [7]

$\bf \textit{parabola vertex form with focus point distance}\\\\
\begin{array}{llll}
(y-{{ k}})^2=4{{ p}}(x-{{ h}}) \\\\
\boxed{(x-{{ h}})^2=4{{ p}}(y-{{ k}})} \\
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ({{ h}},{{ k}})\\\\
{{ p}}=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\
-------------------------------\\\\
y=\cfrac{1}{8}x^2\implies (y-0)=\cfrac{1}{8}(x-0)^2\implies 8(y-0)=(x-0)^2
\\\\\\
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so... if you notice, the vertex is at h,k and that'd be the origin, 0,0

so...since the directrix is "p" units from the vertex, so it'd be 2 units from 0,0

now, the parabola has an equation with a positive leading term's coefficient, namely the 1/8 is positive, thus, the parabola is opening upwards, and the directrix is "outside" the parabola, so is below the vertex

that puts the directrix 2 units below 0,0

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3 years ago

A company's stock began the day at $25.28 per share. That price drops by $1.16 each hour. A. What is the price per share afte

grandymaker [24]

Answer: A.) $19.48

B.) -$1.40

C.) The sign in B, the negative, means that if the price of the share were to continue dropping, then it will become negative.

Step-by-step explanation:

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3 years ago

Find the surface area of the sphere with the given dimension. Leave your answer in terms of pi.

Brrunno [24]

The surface area of the sphere:
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2 ) Diameter of 14 cm:
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3 years ago