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larisa [96]
3 years ago
15

22=7+3x please explain. I think you do -22 on both sides

Mathematics
2 answers:
aliina [53]3 years ago
7 0
No, 22 should stay on its own side but x needs to be alone. so start on the 7+3x side and get 22 alone.                  
22=7+3x  should start with subtracting seven instead of 22 then dividing by 3 and you will find the answer

Jet001 [13]3 years ago
3 0
22=7+3x
22-7 = 3x
15=3x
15/3=x
5=x
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A laundry basket contains 10 socks, of which 2 are red. What is the probability that a randomly selected sock will be red? Write
algol13

Answer:

you get a pair of red socks. There are 10 socks in the drawer, and 2 are red. Therefore the probability that the first one will be red is 2/10 = 1/5.

Step-by-step explanation:

3 0
2 years ago
Which is the best estimate for the product of 3,826.301 × 175.6?
dem82 [27]
If you round 3,826.301 and 175.6 to the nearest hundred you will get 3,800 and 200.

Multiply 3,800 * 200 = 760000

760,000 rounded to the nearest hundred thousand is 800,000.

The best estimate for the product 3,826.301 × 175.6 is B. 800,000. 
7 0
3 years ago
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f(x) = −16x2 + 24x + 16 Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points) WILL GIVE BRAINLIEST
castortr0y [4]

Answer:

Step-by-step explanation:

f(x) = −16x2 + 24x + 16 = 0 can be reduced to -2x^2 + 3x + 2 = 0 and then to 2x^2 - 3x - 2 = 0.  Solve this for x using the quadratic formula:

The discriminant is b^2 - 4ac = (-3)^2 - 4(2)(-2) = 9 + 16 = 25.

Therefore the roots are:

     -(-3) ± √25        3 ± 5

x = ----------------- = ------------  =>  x = 2 and x = -1/2

           2(2)                  4

The x-intercepts are points:  (2, 0) and (-1/2, 0)

Because the coefficient of the x^2 term is negative, this graph opens down and the vertex represents a maximum.

To graph this function, find and plot the vertex.  It is exactly halfway between the x-intercepts, that is, at x = 1 1/4, for which the y value is 21:

vertex and maximum at (5/4, 21)

Finally, find the y-intercept.  Let x = 0; we find that y = 16.  The y-intercept is 0, 16)

We now have four points on the graph and know where the maximum is.  Plot this max (5/4, 21) and the x-intercepts (2, 0) and (-1/2, 0), and finally the y-intercept.  Draw a smooth curve through these points, remembering that the graph is symmetrical about the axis of symmetry x = 5/4.

3 0
2 years ago
The hypotenuse of a right triangle is twice the length of one of its legs. Th length of the other leg is three feet. Find the le
IgorLugansk [536]
Let
x----> the length side of the hypotenuse
y----> the length side of the <span>unknown leg

we know that
x=2*y----> equation 1
applying the Pythagoras Theorem
x</span>²=y²+3²-----> equation 2

substitute equation 1 in equation 2
[2*y]²=y²+3²----> 4*y²-y²=9-----> 3*y²=9----> y²=3
y=√3 ft
x=2*y----> x=2*√3 ft

the answer is
<span>the lengths of the three sides are
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7 0
3 years ago
Write g(x) = 40x 4x2 in vertex form. Write the function in standard form. Factor a out of the first two terms. Form a perfect sq
Furkat [3]

The specified function's vertex form is g(x) = 4(x+5)^2 - 100

<h3>What is vertex form of a quadratic equation?</h3>

If a quadratic equation is written in the form

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

then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)

<h3>What is a perfect square polynomial?</h3>

If a polynomial p(x) can be written as:

p(x) = [f(x)]^2

where f(x) is also a polynomial, then p(x) is called as perfect square polynomial

For the considered case, the polynomial specified is;

g(x)  = 40x + 4x^2

  • Case 1: Converting to vertex form

g(x)  = 40x + 4x^2\\g(x) = 4(x^2 + 10) = 4(x^2 + 10 + 25 -25)\\g(x) = 4(x^2 + 10 + 25) - 100 = 4(x+5)^2 - 100\\

Thus, the vertex form of the considered polynomial is g(x) = 4(x+5)^2 - 100

  • Case 2: Converting to standard form

Standard form of a quadratic polynomial is ax^2 + bx + c

Thus, we get: the considered polynomial in standard form as:

g(x) = 4x^2 +40x

  • Case 3: Factoring the first two terms of polynomial

g(x) = 40x + 4x^2 \\g(x) = 4x(10 + x)

  • Case 4: Forming a perfect square trinomial

The considered polynomial has only two terms, therefore, its not a trinomial.

Thus,  the specified function's vertex form is g(x) = 4(x+5)^2 - 100

Learn more about vertex form of a quadratic equation here:

brainly.com/question/9912128

3 0
2 years ago
Read 2 more answers
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