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ch4aika [34]
2 years ago
13

Z(q) = 4q + 1/2...The zoomster function z used in space flight engineering is defined above. If, for some number u, z(u + 1/2) =

1/2, then what is the value of u ?
Mathematics
1 answer:
Westkost [7]2 years ago
5 0

We are given the equation:

<span>Z(q) = 4q + ½    ---> 1</span>

The equation for z(u + 1/2) is obtained by substituting q with u + ½ in the equation, therefore we can say that:

<span>q = u + ½          ---> 2</span>

Substituting this value into equation # 1:

Z = 4 (u + ½) + ½ = z (u + 1/2) 

4 u + 2 + ½ = z (u + 1/2) 

<span>Since it was given that   z (u + 1/2)  = ½     then,</span>

4 u + 2 + ½ = ½

4 u + 2.5 = 0.5

4 u = -2

u = -1/2         (ANSWER)

 

 

<span> </span>

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PLEASE ANSWER ASAP WILL MARK BRAINLIEST
katrin2010 [14]

Answer:

48 hats and 104 shirts

Step-by-step explanation:

These are the equations you build from the problem:

h + s = 152

8.50h + 12s = 1656

This is how I solved them:

s= 152-h

8.5h + 12(152-h) = 1656

8.5h + 1824 - 12h = 1656

Solve for h

h= 48

Put this into first equation (h +s = 152) to get s

8 0
2 years ago
Read 2 more answers
The speed of sound is approximately 340 m / s. How long will it take for the sound to travel from the batter to a spectator who
iris [78.8K]
The first answer is 3/34 sec and the second answer is 15/34 sec.

Set up a proportion for these problems.  For the first question,
340/1 = 30/x

Cross multiply:
340*x = 1*30
340x = 30

Divide both sides by 340:
340x/340=30/340
x = 30/340 = 3/34

For the second question,
340/1 = 150/x

Cross multiply:
340*x = 150*1
340x=150

Divide both sides by 340:
340x/340 = 150/340 
x = 150/340 = 15/34
4 0
2 years ago
Adele also must choose between leather or cloth seats for her vehicle. Leather seats come in three color choices; brown, black,
Marina86 [1]
So we have
2 choices for cloth
3 choices for leather
2 choices for cloth

we have to multiply each individually
we just add them
3 leather+2 cloth=5 choices

she is wrong
because the asnwer is 5
9 0
2 years ago
Read 3 more answers
Let e1= 1 0 and e2= 0 1 ​, y1= 4 5 ​, and y2= −2 7 ​, and let​ T: ℝ2→ℝ2 be a linear transformation that maps e1 into y1 and maps
Furkat [3]

Answer:

The image of \left[\begin{array}{c}4&-4\end{array}\right] through T is \left[\begin{array}{c}24&-8\end{array}\right]

Step-by-step explanation:

We know that T: IR^{2}  → IR^{2} is a linear transformation that maps e_{1} into y_{1} ⇒

T(e_{1})=y_{1}

And also maps e_{2} into y_{2}  ⇒

T(e_{2})=y_{2}

We need to find the image of the vector \left[\begin{array}{c}4&-4\end{array}\right]

We know that exists a matrix A from IR^{2x2} (because of how T was defined) such that :

T(x)=Ax for all x ∈ IR^{2}

We can find the matrix A by applying T to a base of the domain (IR^{2}).

Notice that we have that data :

B_{IR^{2}}= {e_{1},e_{2}}

Being B_{IR^{2}} the cannonic base of IR^{2}

The following step is to put the images from the vectors of the base into the columns of the new matrix A :

T(\left[\begin{array}{c}1&0\end{array}\right])=\left[\begin{array}{c}4&5\end{array}\right]   (Data of the problem)

T(\left[\begin{array}{c}0&1\end{array}\right])=\left[\begin{array}{c}-2&7\end{array}\right]   (Data of the problem)

Writing the matrix A :

A=\left[\begin{array}{cc}4&-2\\5&7\\\end{array}\right]

Now with the matrix A we can find the image of \left[\begin{array}{c}4&-4\\\end{array}\right] such as :

T(x)=Ax ⇒

T(\left[\begin{array}{c}4&-4\end{array}\right])=\left[\begin{array}{cc}4&-2\\5&7\\\end{array}\right]\left[\begin{array}{c}4&-4\end{array}\right]=\left[\begin{array}{c}24&-8\end{array}\right]

We found out that the image of \left[\begin{array}{c}4&-4\end{array}\right] through T is the vector \left[\begin{array}{c}24&-8\end{array}\right]

3 0
2 years ago
Mary spent $45 at the mall. She bought lunch for $9. She bought 3 shirts at
oee [108]

Answer:

x = 12

Step-by-step explanation:

If Mary spent $45 altogether,

then she bought lunch for $9

so our equation now is

$45 = $9 + 3x

It is 3x because he bought 3 shirts and we used x because we didnt

now how much the price of those shirts were

$45 = $9 +3x

$45 - $9 = 3x

$45 - $9 = $36

$36 = 3x

$36 / 3 = 12

x = 12

Please mark this answer as the brainliest

4 0
2 years ago
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