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3 years ago

I need helping solving -3z+7=-7-10z

Mathematics

2 answers:

Tpy6a [65]3 years ago

8 0

-3z + 7 = -7 - 10z

Add 10z to both sides

7z + 7 = -7

Subtract 7 from both sides

7z = -14

Divide by 7

Z = -2

xz_007 [3.2K]3 years ago

3 0

-3z+7=-7-10z -3z+10z=-7-7 7z=-14 (divide both sides by 7) z=-2

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Last year, Deshaun had $20,000 to invest. He invested some of it in an account that paid 9% simple interest per year, and he inv

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Answer:

the amount Deshaun invested in an account that paid 9% interest = $9,000

the amount Deshaun invested in an account that paid 5% interest = $11,000

Step-by-step explanation:

Let x = the amount Deshaun invested in an account that paid 9% interest

Let y = the amount Deshaun invested in an account that paid 5% interest.

Thus;

x + y = 20,000 - - - - (eq 1)

Now, After one year, he received a total of $1440 in interest. Thus;

0.09x + 0.05y = 1440

Multiply each term by 100 to give;

9x + 5y = 144000 ---- (eq 2)

Making x the subject in equation 1,we have;

x = 20,000 - y

Putting 20,000 - y for x in eq 2,we have;

9(20,000 - y) + 5y = 1440

180000 - 9y + 5y = 144000

180000 - 4y = 144000

180000 - 144000 = 4y

36000 = 4y

Divide both sides by 4 to give;

y = 36000/4

y = $9,000

x = 20,000 - 9000

x = $11,000

7 0

3 years ago

A doctor gives a patient a 6060% chance of surviving bypass surgery after a heart attack. if the patient survives the surgery,

DENIUS [597]

Let BS be the event that the patient survives bypass surgery. Let H be the event that the heart damage will heal. Then P(BS) = 0.60, and also we have a conditional probability: GIVEN that the patient survives, the probability that the heart damage will heal is 0.5, that is P(H|BS) = 0.5 We want to know P(BS and H). Using the formula of the conditional probability: P(H and BS) = P(H|BS)·P(BS) = (0.6)(0.5) = 0.3

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3 years ago

NEED HELP Find values for a, b, c, and d so that the following matrix product equals the 2X2 identity matrix. Explain or show ho

ehidna [41]

We want to find the values of a, b, c, and d such that the given matrix product is equal to a 2x2 identity matrix. We will solve a system of equations to find:

b = 1
a = -1
c = -2
d = -1

<h3>Presenting the equation:</h3>

Basically, we want to solve:

$\left[\begin{array}{cc}-1&2\\a&1\end{array}\right]*\left[\begin{array}{cc}b&c\\1&d\end{array}\right] = \left[\begin{array}{cc}1&0\\0&1\end{array}\right]$

The matrix product will be:

$\left[\begin{array}{cc}-b + 2&-c + 2d\\a*b + 1&a*c + d\end{array}\right]$

Then we must have:

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This means that:

b = 2 - 1 = 1

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We also need to have:

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we know the value of b, so we just have:

a*1 + b = 0

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Now the two remaining equations are:

-c + 2d = 0

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Replacing the value of a we get:

-c + 2d = 0

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Isolating c in the first equation we get:

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Replacing that in the other equation we get:

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Then:

c = 2d = 2*(-1) = -2

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So the values are:

b = 1
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If you want to learn more about systems of equations, you can read:

brainly.com/question/13729904

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aivan3 [116]

...every number between 1 and 50 is an integer

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Alenkinab [10]

Answer:

g(x)=3(x+3)^2-8

Step-by-step explanation:

You can solve by using these acronyms.

H. orozontal.

I. nside.

O. pposite.

Meaning that a horozontal translation would be written inside the parenthesis and the poopsite sigh you would usually (Ex. Left is usually negitave but in this case it is positive).

The other acronym is,

V. erticle.

O. utside.

S. ame.

Meaning for a vrerticle translation the number would go on the outside of the parenthesis and tha sign would be normal (Ex. Negitave would be left and positive would be right).

For this one use H.I.O sinse you are moving on a horozontal plain. You are only working with the (x-2) nothing else matters.

Since you are moving left the number will move up 3 hence the O.

<h2><u>This transformation leaves you with g(x)=3(x+3)^2-8</u></h2>

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3 years ago