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2 years ago

If the graph of y = |x| is translated so that the point (1, 1) is moved to (1, 4), what is the equation of the new graph?

2 answers:

5 0

Y = |x - 3|You need an equation so that you need to add 3 to get the same value. Changing from 'x' to 'x - 3' requires a value (of the second expression) that is 3 larger than the entry in the first expression.

Step2247 [10]2 years ago

5 0

Y=|x|+3

This can be found by graphing. The slope of this equation is assumed to be 1/1 and the y intercept is assumed to be 0. If this is translated upwards, we can see that when the line has a y-intercept of 3, it crosses the point (1,4).

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Solve for x: 3(x+6)=21. A)1 B) 5 C)9 D) 13

aleksley [76]

Answer:

$\boxed {\boxed {\sf A. \ x=1}}$

Step-by-step explanation:

We are given the equation:

$3(x+6)=21$

We want to solve for x, so we must isolate the variable by performing inverse operations to both sides of the equation.

(x+6) is being multiplied by 3. The inverse of multiplication is division. Divide both sides of the equation by 3.

$\frac {3(x+6)}{3}=\frac{21}{3}$

$(x+6)=\frac{21}{3}$

$(x+6)=7$

Now 6 is being added to x. The inverse operation of addition is subtraction. Subtract 6 from both sides of the equation.

$x+6-6=7-6$

$x=7-6$

$x=1$

We can test our solution by plugging 1 in for x in the original equation.

$3(x+6)=21$

$3(1+6)=21$

$3(7)=21\\21=21$

This checks out (21 is equal to 21) so we know our answer is x=1.

8 0

3 years ago

Read 2 more answers

What is 7.504-2.3792 rounded to the hundred

Liula [17]

Answer:

Step-by-step explanation:

First what we have to do is subtract 7.504 and 2.3792
7.504 - 2.3792 = 5.1248
then what we do is
find the number in the number in the hundreds place 0 and look one place to the to the right for the rounding digit 0.
Round up if this number is greater than or equal to 5 and round down if less than five.

Since zero is less than five we would round down

so our answer is zero

Hope this helps

Hope u get it right

8 0

3 years ago

The length of a rectangle exceeds its breadth by 7cm. if the length is decreased by 4cm and the breadth is increased by 3cm, the

riadik2000 [5.3K]

Answer:

16cm

Step-by-step explanation:

Let the breadth = x

The length exceeds = x + 7

The breadth increased = x + 3

Because it said the length decreased by 4 so, the length would be:

x + 7 - 4 = x + 3

Original area:

We learn that:

area = length * breadth

x*(x+7) = (x+3)*(x+3)

x^2 + 7x = (x+3)^2

x^2 + 7x = x^2 + 6x + 9 (We also learn that (a+b)^2 = a^2 + 2ab + b^2

x^2 - x^2 + 7x - 6x = 9

x = 9 (so the breadth = 9)

The length = x + 7 = 9+7 = 16(cm)

Hope this help you :3

7 0

3 years ago

Find the area of the figure.. Single choice.

-Dominant- [34]

This is 130m squared

7 0

2 years ago

If you have 3/12 of an orange, how many fourths do you have?

Mrac [35]

Answer:

Answer: one fourth

Fourth is a word that used to describe a number value of 1/4. To answer this question, you need to change the number you got (3/12) into x/4 form. To convert 12 into 4, then you need to divide the numerator and denominator with 3. The equation would be (3/3)/(12/3)= 1/4.

To determine how much fourth the number has, you need to divide the result with 1/4. The calculation would be: (1/4)/ (1/4)= one fourth

hope its help

thank you

good day

8 0

3 years ago