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sergey [27]
3 years ago
8

Abigail earned $10.26 for babysitting her cousin for 3 hours. How much did she earn in each hour?

Mathematics
2 answers:
Likurg_2 [28]3 years ago
7 0
Each hour she earns $3.42
scoundrel [369]3 years ago
5 0

Divide total earned by number of hours:

10.26/3 = $3.42

She earned $3.42 per hour

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Solve the differential equation x^3y"'− 3x^2 y" 6xy'−6y = 0.
Anna [14]
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<span> 3.1 </span>    Pull out like factors :

  <span> -3x3y7 + x3y - 6y</span>  =  <span> -y • (3x3y6 - x3 + 6)</span> 

Trying to factor a multi variable polynomial :

<span> 3.2 </span>   Factoring   <span> 3x3y6 - x3 + 6</span> 

Try to factor this multi-variable trinomial using trial and error<span> 

 </span>Factorization fails

<span>Equation at the end of step  3  :</span><span> -y • (3x3y6 - x3 + 6) = 0 </span><span>Step  4  :</span>Theory - Roots of a product :

<span> 4.1 </span>   A product of several terms equals zero.<span> 

 </span>When a product of two or more terms equals zero, then at least one of the terms must be zero.<span> 

 </span>We shall now solve each term = 0 separately<span> 

 </span>In other words, we are going to solve as many equations as there are terms in the product<span> 

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Solving a Single Variable Equation :

<span> 4.2 </span>     Solve  :    -y = 0<span> 

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3 0
3 years ago
Solve for y 16y^2-25=0
Pepsi [2]

Answer:

\large\boxed{x=-\dfrac{5}{4}\ \vee\ x=\dfrac{5}{4}}

Step-by-step explanation:

16y^2-25=0\\\\METHOD\ 1:\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\16=4^2\ \text{and}\ 25=5^2\ \text{therefore we have}\\\\4^2y^2-5^2=0\\\\(4y)^2-5^2=0\\\\(4y-5)(4y+5)+0\iff4y-5=0\ \vee\ 4y+5=0\\\\4y-5=0\qquad\text{add 5 to both sides}\\4y=5\qquad\text{divide both sides by 4}\\\boxed{y=\dfrac{5}{4}}\\\\4y+5=0\qquad\text{subtract 5 from both sides}\\4y=-5\qquad\text{divide both sides by 4}\\\boxed{x=-\dfrac{5}{4}}

METHOD\ 2:\\\\16y^2-25=0\qquad\text{add 25 to both sides}\\\\16y^2=25\qquad\text{divide both sides by 16}\\\\y^2=\dfrac{25}{16}\to y=\pm\sqrt{\dfrac{25}{26}}\\\\y=-\dfrac{\sqrt{25}}{\sqrt{16}}\ \vee\ x=\dfrac{\sqrt{25}}{\sqrt{16}}\\\\\boxed{y=-\dfrac{5}{4}\ \vee\ x=\dfrac{5}{4}}

7 0
3 years ago
Read 2 more answers
Can someone please help me with this multiple choice question?
iVinArrow [24]
1) the small and large triangles are similar, then we can write:

x/24 = 8/18
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and x = 32/3 Or 10 ²/³

2) Δ ABC is similar to Δ EDC Since:

∠A = ∠D = 90°

∠C is common 

8 0
3 years ago
Read 2 more answers
Meiling needs 5 dollars 35 cents to buy a ticket to a show. In her wallet, she finds 2 dollar bills, 11 dimes, and 5 pennies. Ho
Llana [10]

Answer:

no she needs $2.20 more

Step-by-step explanation:

2+ 1.10+.05= $3.15

$5.35 - $3.15 = the answer

5 0
3 years ago
Which equation is a point slope form equation for line AB ?
Jobisdone [24]

For this case we have that by definition, the equation of a line of the point-slope form is given by:

y-y_ {0} = m (x-x_ {0})

Where:

m: It's the slope

(x_ {0}, y_ {0}):It is a point through which the line passes

To find the slope, we need two points through which the line passes, observing the image we have:

(x_ {1}, y_ {1}): (1,6)\\(x_ {2}, y_ {2}): (5, -2)\\m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-2-6} {5-1} = \frac {-8} {4} = -2

Thus, the equation is of the form:

y-y_ {0} = - 2 (x-x_ {0})

We choose a point:

(x_{0}, y_ {0}) :( 5, -2)

Finally, the equation is:

y - (- 2) = - 2 (x-5)\\y + 2 = -2 (x-5)

Answer:

y + 2 = -2 (x-5)

3 0
3 years ago
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