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Elis [28]
3 years ago
14

The sum of the digits of a three-digit number is 6. The hundreds digit is twice the units digit, and the tens digit equals to th

e sum of the other two. Find the number.
Mathematics
1 answer:
wlad13 [49]3 years ago
6 0

Answer:

231

Step-by-step explanation:

231

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What is the axis of symmetry for the graph of y – 4x = 7 – x2
eimsori [14]

we know that

The equation in vertex form of a vertical parabola is equal to

y=a(x-h)^{2}+k

where

(h,k) is the vertex of the parabola

and the axis of symmetry is equal to the x-coordinate of the vertex

so

x=h -----> equation of the axis of symmetry

In this problem we have

y-4x=7-x^{2}

Convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

y-7=-x^{2}+4x

y-7=-(x^{2}-4x)

Complete the square. Remember to balance the equation by adding the same constants to each side

y-7-4=-(x^{2}-4x+4)

y-11=-(x^{2}-4x+4)

Rewrite as perfect squares

y-11=-(x-2)^{2}  

y=-(x-2)^{2}+11  

the vertex is the point (2,11)

therefore

<u>the answer is</u>

The axis of symmetry is

x=2

see the attached figure to better understand the problem

5 0
4 years ago
Read 2 more answers
Will the opposite of a number always, sometimes, or never be greater than the number itself? Explain your reasoning. Provide an
aksik [14]

Step-by-step explanation:

The negative of a number may sometimes be greater than the number itself.

The negative of a negative number is positive which will give a greater number than the number itself. But the negative of a positive number is negative which is smaller than the number itself

Let us take a few examples

-(-1) = 1,    1>-1

-(1) = -1,    1>-1

5 0
3 years ago
What is 12% of 507<br> OA. 6<br> OB.<br> 7<br> O c.<br> 10<br> OD<br> 12
mamaluj [8]
10 and I know this because I just looked it up hopefully you have a great rest of ur day
4 0
3 years ago
Coli bacteria double in population every thirty minutes. The initial population is 85. What is the population after three hours?
vodka [1.7K]
After 3 hours: 5,440
after a day: 23,925,400,000,000,000
8 0
3 years ago
Enter the ordered pair for the vertices for Rx-axis(QRST).
mash [69]

Given:

The vertices of a polygon QRST are T(-2, 3), Q(1, 5), R(3, -1) and S(0, 0).

To find:

The vertices for R_{x-axis}(QRST).

Solution:

The rule R_{x-axis}(QRST) represents refection of polygon QRST across the x-axis.

If a figure is reflected across the x-axis, then

(x,y)\to (x,-y)

Using this rule, we get

T(-2,3)\to T'(-2,-3)

Q(1,5)\to Q'(1,-5)

R(3,-1)\to R'(3,1)

S(0,0)\to S'(0,0)

Therefore, the vertices for R_{x-axis}(QRST) are T'(-2, -3), Q'(1, -5), R'(3, 1) and S'(0, 0).

7 0
3 years ago
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