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3 years ago

Day 1 =1 rose, day2 = 6 roses How many on day 34?

Mathematics

1 answer:

Readme [11.4K]3 years ago

3 0

204, because each day 6 goes up, so 34 x 6 = 204. Hope this helps :)

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Passing through (-2,1 ) and perpendicular to 4x + 7y + 3 = 0.

Lunna [17]

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

========================================

Let

$k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2$

========================================

We have the equation of a line in a general form (Ax + By + C = 0)

Convert it to the slope-intercept form:

$4x+7y+3=0$ subtract 7y from both sides

$4x+3=-7y$ divide both sides by (-7)

$-\dfrac{4}{7}x-\dfrac{3}{7}=y\to m_1=-\dfrac{4}{7}$

Therefore

$m_2=-\dfrac{1}{-\frac{4}{7}}=\dfrac{7}{4}$

We have the equation:

$y=\dfrac{7}{4}x+b$

Put the coordinates of the point (-2, 1) to the equation, and solve for b :

$1=\dfrac{7}{4}(-2)+b$

$1=-\dfrac{7}{2}+b$ multiply both sides by 2

$2=-7+2b$ add 7 to both sides

$9=2b$ divide both sides by 2

[te]x\dfrac{9}{2}=b\to b=\dfrac{9}{2}[/tex]

Finally:

$y=\dfrac{7}{4}x+\dfrac{9}{2}$ - slope-intercept form

Convert to the general form:

$y=\dfrac{7}{4}x+\dfrac{9}{2}$ multiply both sides by 4

$4y=7x+18$ subtract 4y from both sides

$0=7x-4y+18$

6 0

3 years ago

Evaluate 3^2 + (5-2) X 4 - 6/3

muminat

Answer:

The result is 19

Step-by-step explanation:

$3^{2} + (5-2)x4 - 6/3$

Step 1: Parenthesizing (5-2)=3

$3^{2} + 3x4 - 6/3$

Step 2: Exponentiation $3^{2}=9$

$9 + 3x4 - 6/3$

Step 3: Multiplication and division 3x4=12 and 6/3=2

$9 + 12 - 2$

Step 4: Addition and subtraction 9+12=21, and 21-2=19

21-2

The operations are ordered from highest to lowest in the order:

1. Parenthesizing,

2. Factorial,

3. Exponentiation,

4. Multiplication and division,

5. Addition and subtraction.

Hope this helps!

6 0

3 years ago

Read 2 more answers

Help me I need help ASAP pls

Tresset [83]

Answer:

Step-by-step explanation:

-37/4

5 0

3 years ago

Read 2 more answers

Set up an equation to show (×+2)×5=y

Masteriza [31]

5x+10 = y

Subtract 10 from both sides.

5x = y - 10

Divide both sides by 5.

x = 1/5y - 2

Plugin 1/5y - 2 for the y.
5(1/5y - 2)
1 - 10 + 10 = y

1 = y

Your Answer(s)
y = 1
x = 1/5y - 2

4 0

4 years ago

10. The bill (including parts and labor) for the repair of an oven was $142. The cost

Lubov Fominskaja [6]

Total cost=$142

cost of parts=$62

cost paid for labour=$142-$62=$80

According to question,

》cost of labour per hr=$32

which can be written as,

》cost of labour/time=$32

Use cross multiplication,

》time=cost of labour/32

Since cost of labour is 80,

Time=80/32

=2.5hrs

6 0

3 years ago