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PtichkaEL [24]
2 years ago
7

Drag a description to match each equation.

Mathematics
1 answer:
AnnZ [28]2 years ago
4 0

Given:

The descriptions and equations. The equations are

y=4x

y=x+4

To find:

The correct description for each equation and match them.

Solution:

We know that, "+" is used for more and "×" is used for times.

Additive: y is 4 more than x.

y=x+4

Additive: x is 4 more than y.

x=y+4

Multiplicative: y is 4 times x.

y=4x

Multiplicative: x is 4 times y

x=4y

Therefore, the correct description for the equation y=4x is "Multiplicative: y is 4 times x " and the correct description for the equation y=x+4 is "Additive: y is 4 more than x. "

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The combined area of two squares is 17 square meters. the size of the larger Square are four times as long as the size of the sm
7nadin3 [17]

we are given that ,

The combined area of two squares is 17 square meters.

Area of square=(side)^2

Let the side length of smaller square be x

The size of the larger Square are four times as long as the size of the smaller square

Area \ of  \ smaller \ square \ =x^2

So Area of larger square=4x^2

The combined Area is 17 square meter.

x^2+4x^2=17\\\\5x^2=17\\\\x=\sqrt{\frac{17}{5}}

Hence the smaller square has the side length=\sqrt{\frac{17}{5}}

So the larger square has side length=2\sqrt{\frac{17}{5}}

5 0
3 years ago
The polynomial f(x) leaves a remainder of - 3 and - 7 when divided by (3x - 1) and (x +1) respectively.
olga55 [171]

Step-by-step explanation:

Here, f(x) is the given polynomial.

By remainder Theorem,

When divided by (3x-1),

f(1/3) = -3........(1)

When divided by (x+1),

f(-1) = -7.........(2)

<em>Another</em><em> </em><em>polynomial</em><em> </em><em>is</em><em> </em><em>3</em><em>x</em><em>²</em><em>+</em><em>2</em><em>x</em><em>-</em><em>1</em>

Solving,

3x²+2x-1

= 3x²+3x-x-1

=3x(x+1)-(x+1)

=(3x-1)(x+1)

So

f(x) = (3x-1)(x+1)Qx + (ax+b)

For f(-1),

-7 = -a+b

b= a-7

For f(1/3),

-3 = a/3+b

or, -3 = a/3+a-7

or, 4×3 = 4a

or a = 3

Also, b = 3-7 =-4

Hence, remainder is (3x-4)

7 0
3 years ago
A storage box has a Volume of 56 cubic inches and the base of the box is 4 what is the height of the box?​
ddd [48]

Answer:

56 x 4 =224

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
The graph of a line has a slope of -7 and a y intercept of (0,0). Rewrite the equation in standard form (Ax+By=C) with a positiv
Anna11 [10]

Answer:

the equation of the line is 7x + y = 0 .

Step-by-step explanation:

in the standard form of the line that is Ax +By = C we can write it in the form of

By = C - Ax

y = \frac{-A}{B}x +\frac{C}{B}

which is in the form of y = mx +c

where m is the slope of the line and c is y intercept made by the line.

comparing  y = \frac{-A}{B}x +\frac{C}{B} and  y = mx +c

we get that \frac{-A}{B} =m and \frac{-C}{B} = c

since it is given that slope of the line is -7 therefore m = -7 and c = 0

therefore  \frac{-A}{B} =-7 and \frac{-C}{B} = 0

therefore C = 0 , A = 7 and B = 1

therefore the equation becomes 7x + y = 0

3 0
3 years ago
Help me please and thank you.​
11111nata11111 [884]

Answer:

The constant term is 6

The x³ term has a coeficient of 12

The resulting polynomial has degree 4

7 0
2 years ago
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