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aleksley [76]
3 years ago
6

A bathtub that holds 43 gallons of water contains 18 gallons of water. You begin filling it, and after 5 minutes, the tub is ful

l.
Enter an equation in standard form to model the linear situation.
Mathematics
1 answer:
Wittaler [7]3 years ago
5 0
The tub holds 43 gallons.....it contains 18.....(43 - 18) = 25....so it needs 25 gallons.....after 5 minutes, the tub is full.....so it fills at a rate of 25/5 = 5 gallons per minute

y = 5x + 18....where y is the total gallons and x is the number of minutes
but we need it in standard form....

y = 5x + 18
-5x + y = 18
5x - y = -18 <== standard form
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The difference between the roots of the quadratic equation x2−8x+p=0 is 6. Find p.
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Answer:

p=7

Step-by-step explanation:

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7 0
4 years ago
What is the answer to this problem
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5 0
3 years ago
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F(x)=2x^2-3x+7 evaluate f(-2)
Vilka [71]

Answer:

Step-by-step explanation:

Find two linear functions p(x) and q(x) such that (p (f(q(x)))) (x) = x^2 for any x is a member of R?

Let  p(x)=kpx+dp  and  q(x)=kqx+dq  than

f(q(x))=−2(kqx+dq)2+3(kqx+dq)−7=−2(kqx)2−4kqx−2d2q+3kqx+3dq−7=−2(kqx)2−kqx−2d2q+3dq−7  

p(f(q(x))=−2kp(kqx)2−kpkqx−2kpd2p+3kpdq−7  

(p(f(q(x)))(x)=−2kpk2qx3−kpkqx2−x(2kpd2p−3kpdq+7)  

So you want:

−2kpk2q=0  

and

kpkq=−1  

and

2kpd2p−3kpdq+7=0  

Now I amfraid this doesn’t work as  −2kpk2q=0  that either  kp  or  kq  is zero but than their product can’t be anything but  0  not  −1 .

Answer: there are no such linear functions.

6 0
3 years ago
NEED HELP RIGHT NOW !!!!!!!!!!!!!!!!!!!!!!!!!
kykrilka [37]

\underline{ \boxed{{\huge \frak{ \gray{Answer : }}}}}

\: \: \: \:

\: \: \: \:

\large\sf\begin{gathered} \begin{bmatrix} {2 } \: \:  \:  \:  \: 3 \: \\1 \:  \:  \:  \: 4\\ \end{bmatrix}\end{gathered}  \:  \:  \large = 2 \times 4 + 3 \times 1 \\  \large   = 8 + 3 \\ \underline{ \boxed{  \large\bf\red{= 11}}} ✓

\: \: \: \:

\: \: \: \:

Hope Helps!:)

8 0
2 years ago
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ICE Princess25 [194]
<span>Since the fabric is 36 in. wide, every 36 linear inches (3 feet =1 yard) makes one square yard. The team needed 75 sq yds, thus 3 x 75 = linear feet</span>
6 0
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