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1 year ago

-3x + 2c = -3, solve for x

Mathematics

1 answer:

xxMikexx [17]1 year ago

6 0

Answer:

x=2c/3+1

Step-by-step explanation:

Subtract 2c from both sides.

−3x=−3−2c

The equation is in standard form.

−3x=−2c−3

Divide both sides by −3.

-3x/-3=-2c-3/-3

Dividing by −3 undoes the multiplication by −3.

x=-2c-3/-3

Divide −3−2c by −3.

x=2c/3+1

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The coordinates of the vertices of △PQR are P(1, 4) , Q(2, 2) , and R(−2, 1) . The coordinates of the vertices of △P′Q′R′ are P′

butalik [34]

ANSWER

The correct answer is option B

EXPLANATION

When we analyse carefully we can see that PQR is mapped on to P'Q'R' by the rule

$(x,y)\rightarrow (-x,y)$

$P(1,4)\rightarrow P'(-1,4)$

$Q(2,2)\rightarrow Q'(-2,2)$

$R(-2,1)\rightarrow R'(2,2)$

That is to say the x-coordinates are negated. Hence y-axis is the mirror line.

Since reflection is a rigid motion, the two triangles are congruent. That means the two triangles PQR and P'Q'R' are equal in all respect.

See graph in attachment.

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2 years ago

Mr.wilkins deposited $2,500 in a new account at his bank . •the bank pays 6.5% interest compounded annually on this account •mr.

WARRIOR [948]

Answer:

Step-by-step explanation:

$2,662.50

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2 years ago

Lynn works as a part-time vendor selling necklaces for $15 each and bangles for $10 each. She needs to earn a minimum of $300 pe

timofeeve [1]

A,B,C,D i.e. all statements are true!

Step-by-step explanation:

According to question, Lynn works as a part-time vendor selling necklaces for $15 each and bangles for $10 each. She needs to earn a minimum of $300 per week to cover her expenses. The inequality for above scenario will be :

$15x + 10y\geq 300$ where, x is number of necklaces & y is number of bangles.

Lynn will meet her goal if she sells 12 bangles and 12 necklaces. i.e. x=12 and y=12 , putting values inequality : $15(12) + 10(12) = 300$ which follows inequality . True statement!

Lynn will meet her goal if she sells 20 bangles and 6 necklaces.

putting values inequality : $15(6) + 10(20) = 290$ which follows inequality . True statement!

Lynn will meet her goal if she sells 6 bangles and 12 necklaces. putting values inequality : $15(12) + 10(6) = 240$ , which follows inequality . True statement!

Lynn will meet her goal if she sells 2 bangles and 18 necklaces.putting values inequality : $15(18) + 10(2)=290$ , which follows inequality . True statement!

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1 year ago

Read 2 more answers

A marketing firm is considering making up to three new hires. Given its specific needs, the management feels that there is a 50%

IRISSAK [1]

Answer:

a) 0.9

b) Mean = 1.58

Standard Deviation = 0.89

Step-by-step explanation:

We are given the following in the question:

A marketing firm is considering making up to three new hires.

Let X be the variable describing the number of hiring in the company.

Thus, x can take values 0,1 ,2 and 3.

$P(x\geq 2) = 50\%= 0.5\\P(x = 0) = 10\% = 0.1\\P(x = 3) = 18\% = 0.18$

a) P(firm will make at least one hire)

$P(x\geq 2) = P(x=2) + P(x=3)\\0.5 = P(x=2) + 0.18\\ P(x=2) = 0.32$

Also,

$P(x= 0) +P(x= 1) + P(x= 2) + P(x= 3) = 1\\ 0.1 + P(x= 1) + 0.32 + 0.18 = 1\\ P(x= 1) = 1- (0.1+0.32+0.18) = 0.4$

$\text{P(firm will make at least one hire)}\\= P(x\geq 1)\\=P(x=1) + P(x=2) + P(x=3)\\ = 0.4 + 0.32 + 0.18 = 0.9$

b) expected value and the standard deviation of the number of hires.

$E(X) = \displaystyle\sum x_iP(x_i)\\=0(0.1) + 1(0.4) + 2(0.32)+3(0.18) = 1.58$

$E(x^2) = \displaystyle\sum x_i^2P(x_i)\\=0(0.1) + 1(0.4) + 4(0.32) +9(0.18) = 3.3\\V(x) = E(x^2)-[E(x)]^2 = 3.3-(1.58)^2 = 0.80\\\text{Standard Deviation} = \sqrt{V(x)} = \sqrt{0.8036} = 0.89$