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xeze [42]
4 years ago
9

Donna and Emily are sisters. Donna’s age and Emily’s age add up to 31. Donna is 3 years younger than Emily.How old are the two s

isters?
What is the system of equations for this problem and how do I solve it using the elimination method?
Mathematics
1 answer:
pishuonlain [190]4 years ago
3 0

Answer:

donna is 14.5 and emily is 17.5

Step-by-step explanation:


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Y=(3x+7)(8x-5). Find the derivative
lozanna [386]

Answer:

Step-by-step explanation:

use uv rule= uv'+vu'

u=3x+7

u'=3+0=3

v=8x-5

v'=8-0=8

uv= (3x+7)(8)+(8x-5)(3)

=24x+56+24x-15

=48x+41

6 0
3 years ago
Read 2 more answers
The tangent of the graph of y=<img src="https://tex.z-dn.net/?f=e%5E%7Bax%7D" id="TexFormula1" title="e^{ax}" alt="e^{ax}" align
bearhunter [10]

a) The tangent to y=e^{ax} at x=p has slope

y' = ae^{ax} \implies y'(p) = ae^{ap}

and y=e^{ap} at this point. It passes through the origin, so its equation is

y - 0 = ae^{ap} (x - 0) \implies y = ae^{ap} x

It also passes through the point (p,e^{ap}) on the curve, so

y - e^{ap} = ae^{ap} (x - p) \implies y = e^{ap} + ae^{ap} x - ape^{ap}

By substitution,

ae^{ap} x = e^{ap} + ae^{ap} x - ape^{ap} \implies e^{ap} = ape^{ap} \implies ap=1 \\\\ \implies \boxed{p=\dfrac1a}

b) The normal to y=e^{ax} at x=2p has slope

-\dfrac1{y'(2p)} = -\dfrac1{ae^{2ap}} = -1 \implies ae^{2ap} = 1

It follows that

ae^{2ap} = ae^2 = 1 \implies \boxed{a = \dfrac1{e^2} \text{ and } p = e^2}

c) The tangent line equation is then

y = \dfrac1{e^2} e^1 x \implies \boxed{y = \dfrac xe}

7 0
2 years ago
Three concert tickets cost $120. At this rate, what is the cost per ticket?
lora16 [44]

Answer: The answer is $40 per ticket.

Step-by-step explanation: Divide 120 by 3 to get 40. Hope this helps!

4 0
3 years ago
Read 2 more answers
Name the geometric term(s) modeled by each object
anyanavicka [17]

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The geometric term(s) modeled by each object are Hexagon, point, line, line, and plane, respectively.

<h3>What is a line?</h3>

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. A line segment is also a line but the line with finite length and having fixed endpoints.

The geometric term(s) modeled by each object

9. Stop sign ⇒ Hexagon

10. Tip of pin ⇒ Point

11. Strings of a violin ⇒ Line

12. A car antenna ⇒ Line

13. A library card ⇒ Plane

Hence, The geometric term(s) modeled by each object are Hexagon, point, line, line, and plane, respectively.

Learn more about Line here:

brainly.com/question/21511618

#SPJ1

3 0
2 years ago
2. Diana uses 30 grams of coffee beans to make 48 fluid Ounces of coffee. When
trapecia [35]

Answer:

G(62.5)

Step-by-step explanation:

30/48 × x/100=62.5/2.08

to solve x

100÷48=62.5(x)

62.5(x)×30=62.5

Answer is F

4 0
3 years ago
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