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3 years ago

3) 8p + 7q = 432 -7=-qhow can I solve this with substitution?

Mathematics

1 answer:

Bess [88]3 years ago

6 0

Answer:

p=1, q=5. (1, 5).

Step-by-step explanation:

8p+7q=43

2-7=-q

------------------

-q=-5

q=5

--------

8p+7(5)=43

8p+35=43

8p=43-35

8p=8

p=8/8=1

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In a study of brand recognition, 795 consumers knew of Amazon, and 10 did not. Use these results to estimate the probability tha

Rzqust [24]

Answer:

The probability that a randomly selected consumer will recognize Amazon is 0.988.

Step-by-step explanation:

The data given in the question is

Total number of consumers = 795 + 10 = 805

Consumers who knew of Amazon = 795

Consumers who did not know of Amazon = 10

The formula for calculating probability of an event A is:

P(A) = No. of favourable outcomes/Total no. of possible outcomes

P(Recognize Amazon) = No. of Consumers who knew Amazon/Total no. of consumers

P(Recognize Amazon) = 795/805

= 0.98757

P(Recognize Amazon) ≅ 0.988

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3 years ago

Which system of equations is graphed below?

algol [13]

(Pls give brainliest! :D)

Answer:

B

Step-by-step explanation:

You know that the graph intercepts at the point of (4,-2)

Where x = 4 and y = -2.

This means that whenever you plug a value of x in the equation it should give the value of y.

For example when you plug x= 4 into the equation (B), it should look like this.

4- y = 6, solving for y gives us the value negative 2.

This means that it does give us this point, however, as the graph shows us, both lines meet at the point which means that both equation should give us this point.

If we substitute x = 4 in the second equation of b, we should be able to get 3(4) + 4y = 4. Solving for y gives us -2.

Hope this helps!

-Yumi

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3 years ago

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Find the quotient. -22s^4t -8st /2st

kicyunya [14]

Answer:

-11s^3 -4

Step-by-step explanation:

( -22s^4t -8st) /2st

Separate into parts

-22s^4t / 2st -8st /2st

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3 years ago

Please help me I will give you the brain thing and extra points. (image below) 21/30

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I think it would maybe be 35 or 45.

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3 years ago

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(A)using geometry vocabulary, describe a sequence of transformations that maps figure P (-1,2)(-1,4) (-4,2) (-4,4) onto figure Q

andrey2020 [161]

Before we proceed on determining the transformation happening on this problem, it's better to see first the location of the figure by drawing it in a cartesian coordinate plane. We have

If we observe the figures and the coordinates of the plot, we can see that there is a difference of 1 on the x coordinates of P and y coordinates of Q. Therefore, the first transformation that we consider here is the movement of figure P by 1 unit to the left. We have

$\begin{gathered} P_1=(-1-1,2_{})=(-2,2) \\ P_2=(-1-1,4)=(-2,4) \\ P_3=(-4-1,2)=(-5,2) \\ P_4=(-4-1,4)=(-5,4) \end{gathered}$

This transformation changes the location of figure P into

The next transformation will be the rotation of the red dotted figure on the figure above by 90 degrees counterclockwise. With this transformation, the coordinates will transform as

$P_{ccw,90}=(-y,x)$

Hence, for the rotation, we have the new coordinates.

$\begin{gathered} P_1^{\prime}=(-2,-2) \\ P_2^{\prime}=(-4,-2) \\ P_3^{\prime}=(-2,-5) \\ P_4^{\prime}=(-4,-5) \end{gathered}$

The transformed image, which is represented as NMPO, will now be at

For the last transformation, we will be reflecting the figure NMPO over the y axis. This changes the coordinates as

$P_{\text{rotation,y}-\text{axis}}=(-x,y)$

We now have the new coordinates:

$\begin{gathered} P^{\doubleprime}_1=(2,-2)=Q_1_{}_{} \\ P_2^{\doubleprime}=(4,-2)=Q_3 \\ P_3^{\doubleprime}=(2,-5)=Q_2 \\ P_4^{\doubleprime}_{}=(4,-5)=Q_4_{} \end{gathered}$

As you can see, they have the same coordinates as figure Q.

The mapping rules for the sequence described above are as follows:

First transformation (moving one unit to the left (x-1,y))

$\begin{gathered} P_1(-1,2)\rightarrow P_1(-1-1,2)\rightarrow P_1(-2,2) \\ P_2(-1,4)\rightarrow P_1(-1-1,4)\rightarrow P_2(-2,4) \\ P_3(-4,2)\rightarrow P_1(-4-1,2)\rightarrow P_3(-5,2) \\ P_4(-4,4)\rightarrow P_1(-4-1,4)\rightarrow P_4(-5,4) \end{gathered}$

Second transformation (rotation counter clockwise (-y,x))

$\begin{gathered} P_1(-2,2)\rightarrow P^{\prime}_1(-2,-2)_{} \\ P_2(-2,4)\rightarrow P^{\prime}_2(-4,-2) \\ P_3(-5,2)\rightarrow P^{\prime}_3(-2,-5)_{} \\ P_4(-5,4)\rightarrow P^{\prime}_4(-4,-5)_{} \end{gathered}$

Third Transformation (reflection over y-axis (-x,y))

$\begin{gathered} P^{\prime}_1(-2,-2)\rightarrow P^{\doubleprime}_1(-(-2),-2)\rightarrow P^{\doubleprime}_1=(2,-2)=Q_1 \\ P^{\prime}_2(-4,-2)\rightarrow P^{\doubleprime}_1(-(-4),-2)\rightarrow P^{\doubleprime}_1=(4,-2)=Q_3 \\ P^{\prime}_3(-2,-5)\rightarrow P^{\doubleprime}_1(-(-2),-5)\rightarrow P^{\doubleprime}_1=(2,-5)=Q_2 \\ P^{\prime}_4(-4,-5)\rightarrow P^{\doubleprime}_1(-(-4),-5)\rightarrow P^{\doubleprime}_1=(4,-5)=Q_4 \end{gathered}$

7 0

2 years ago

3) 8p + 7q = 432 -7=-qhow can I solve this with substitution?​

3) 8p + 7q = 432 -7=-qhow can I solve this with substitution?