Which of the following equations is equivalent to 6.87p + 9.2 = -7.056?

The leading digit cannot be zero and the number must be a multiple of 3

HACTEHA [7]

111 is a number that works. 0 is not the leading digit, and the number is divisible by 3.

111/3 = 37

6 0

3 years ago

Use technology to solve for x. 3^x - 4= 6x - 7

Anuta_ua [19.1K]

Answer:

$x=1,1$

Step-by-step explanation:

$3x^2 - 4= 6x - 7$

For the given equation :

Making the coefficients of x to L.H.S

$3x^2-6x-4+7$ $=0\\$

$3x^2-6x+3=0$

Taking 3 as common from the above equation

$x^2-2x+1=0$

Splitting the equation to make factors

$x^2-x-x+1=0$

Taking common from the equation:

$x(x-1)-1(x-1)\\(x-1)(x-1)=0$

Equating 'x' to zero

$x=1,1$

4 0

3 years ago

Help me with math questions urgent Thanks

aleksandrvk [35]

Answer: x = 2.65, y = 3.81

Step-by-step explanation:

ABC similar to PQR

1) Find the ratio of corresponding sides

2) Use that ratio to find values for x & y

1) Side AB = 2.76cm & Side PR = y cm

Side BC = x cm & Side RQ = 3.66 cm

Side CA = 3 cm & Side QP = 4.14 cm (both lengths given)

Can match 3 to 4.14 & ratio of sides in ABC to PQR= 3 /4.14

Length of sides ABC = 3/4.14 times the length of sides PQR

2) x = (3 / 4.14) * 3.66 = 2.65

Now solve for y, ABC to PQR: 2.76 = (3 / 4.14) (y )

equality property (both sides) & inverse operation to isolate y : . 2.76 ÷ (3 / 4.14) = (3 / 4.14 ) ÷ (3 / 4.14) (y)

2.76 * (4.14 / 3) = 3 / 4.14 * (4.14 / 3) (y)

(2.76 * 1.38 ) = 3.81 = y

Scale Factor Method: Determine the Multiplier

Small to Big or Big to Small ➜ Be sure not to switch

7 0

3 years ago

Paula, linda and aaron make handmade cards

sergiy2304 [10]

Answer:

Linda makes 72 more handmade cards than Paula

Step-by-step explanation:

First you need to find out how many handmade cards Linda makes by making a proportion.

The first ratio is 3 to 2 and since we are trying to find out how many cards Linda makes, it will be represented by x.

3 to 2 represents how many Linda makes to how many Aaron makes so the second ratio will be x to 72 since that's how many cards Aaron made.

Now you can put it into a proportion:

3/2 = x/72

Next you have to do Cross Product Property to find x

So 3*72 = 216

2*x = 2x

2x = 216

Now divide 2 by itself and then by 216 to find what x equals.

2/2 = 1

216/2 = 108

So Linda makes 108 handmade cards.

Now we need to find how many cards Paula made.

The ratio for how many Paula makes to how many Linda makes is 1 to 3

Since we are trying to figure out how many Paula made we need to represent it with x.

The second ratio will be x to 108 since 108 is how many cards Linda made.

Now you can put it into a proportion:

1/3 = x/108

Then you need to do Cross Product Property to find x

So 1*108 = 108

3*x = 3x

3x = 108

Now we need to divide 3 by itself to isolate x and then divide 3 by 108 to find what it equals.

3/3 = 1

108/3 = 36

So Paula makes 36 handmade cards.

Since the question is asking for how many more does Linda make than Paula you need to subtract 108 and 36.

So 108 - 36 = 72

Linda makes 72 more handmade cards than Paula.

8 0

4 years ago

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G(x)= √x+3 help plsss

const2013 [10]

Answer:

All real values of x such that x ≥-3

Step-by-step explanation:

g(x) = sqrt(x+3)

A sqrt must be greater than or equal to zero

sqrt (x+3) ≥ 0

Square each side

x+3≥ 0

Subtract 3 from each side

x ≥-3

The restrictions on x are x ≥-3

That means the domain is x ≥-3

All real values of x such that x ≥-3

8 0

3 years ago

Read 2 more answers