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2 years ago

3. find the domain and range of a) 3x-2y+7=0i think in y-intercept form it is y=3/2x + 7/2

Mathematics

1 answer:

bekas [8.4K]2 years ago

3 0

$3x-2y+7=0\\\\The\ slope-intercept\ form:\\\\2y=3x+7\ \ \ \ \ /:2\\\\y=\frac{3}{2}x+\frac{7}{2}\\\\The\ domain:x\in\mathbb{R}\\\\The\ range:y\in\mathbb{R}$

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Hiro is creating a smaller scaled replica of a triangular canvas.

brilliants [131]

Answer:

AB= AC times AE/AD

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

In this problem

AB/AC=AE/AD

solve for AB

AB=(AC)(AE)/AD

3 0

3 years ago

Read 2 more answers

It would be appreciated if there could be an explanation along the answer

soldi70 [24.7K]

Answer:

i think probably 80°

Step-by-step explanation:

PQ = RS

2x+3 = 4x-3

x = 3

PTQ = RTS

9y-3x-1 = 5x+7y-5

2y-8x = -4

y-4x = -2

y-4(3) = -2

y-12 = -2

y = -2+12

y = 10

so PTQ = 9y-3x-1

9(10)-3(3)-1

90-9-1

80°

8 0

1 year ago

The school production of Our Town' was a big success. For opening night. 434 tickets were sold. Students paid $4.00 each, while

Alex73 [517]

Answer:

286 students attended

148 non students attended

Step-by-step explanation:

Given

$Tickets = 434$

$Students = \$4.00$

$Non-Students = \$6.00$

$Total = \$2032.00$

Solving (a): Number of students

Represent students with S and non students with N

So:

$S + N = 434$ --- (1)

$4S + 6N = 2032$ --- (2)

Make N the subject of formula in (1)

$N = 434 - S$

Substitute 434 - S for N in (2)

$4S +6(434 - S) = 2032$

Open Bracket

$4S + 2604 - 6S = 2032$

Collect Like Terms

$4S - 6S = 2032 - 2604$

$-2S = -572$

Divide through by -2

$S = 286$

<em>Hence; 286 students attended</em>

Solving (b):

Recall that

$N = 434 - S$

$N = 434 - 286$

$N = 148$

<em>148 non students attended</em>

4 0

2 years ago

What is the value of n in the equation –1/2(2n + 4) + 6 = –9 + 4(2n + 1)?

ioda

Answer:

Step-by-step explanation:

$-\dfrac{1}{2}(2n-4)+6=-9+4(2n+1)\qquad\text{use the distributive property}\\\\\left(-\dfrac{1}{2}\right)(2n)+\left(-\dfrac{1}{2}\right)(-4)+6=-9+(4)(2n)+(4)(1)\\\\-n-2+6=-9+8n+4\qquad\text{combine like terms}\\\\-n+(-2+6)=8n+(-9+4)\\\\-n+4=8n-5\qquad\text{subtract 4 from both sides}\\\\-n=8n-9\qquad\text{subtract}\ 8n\ \text{from both sides}\\\\-9n=-9\qquad\text{divide both sides by (-9)}\\\\n=1$

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2 years ago

Round 4.645 to the nearest whole number! Please explain step by step to get marked

Gemiola [76]

Step-by-step explanation:

to round 4.645 to the nearest whole number consider the tenths’ value of 4.645, which is 6 and equal or more than 5. Therefore, we have to round up: the whole number part of 4.645, 4, increases by 1 to 5, and the decimal point and all digits (.645) are removed.

4.645 rounded to the nearest whole number = 5

5 0

2 years ago