All categories

3 years ago

Algebraic equations

Mathematics

2 answers:

anzhelika [568]3 years ago

7 0

1) 2x + 9 = 2x -5

9 ≠ -5 ; No solution

2) 2x- 1 = x + 3

x = 4; One solution x = 4

3) x + 2 = x + 2

0 = 0; Identity (or all real numbers)

natali 33 [55]3 years ago

7 0

Answer:

1) No solution

2) One solution x = 4

3) All real numbers

Hope this helps :)

You might be interested in

Please help! what is an equation of a parabola with x-intercepts at (2,0) and (-7,0) and which passes through the point (1,32)?

grandymaker [24]

Answer:

$f(x)=-4(x-2)(x+7)$

Or, in standard form:

$f(x)=-4x^2-20x+56$

Step-by-step explanation:

We can use the factored form of a quadratic equation:

$f(x)=a(x-p)(x-q)$

Where a is the leading coefficient and p and q are the zeros of the quadratic.

We know that the x-intercepts are at (2, 0) and (-7, 0).

So, let's substitute 2 for p and -7 for q. This yields:

$f(x)=a(x-2)(x+7)$

Now, we need to determine a.

We know that it passes through the point (1, 32). In other words, if we substitute 1 for x, we should get 32 for f(x). Therefore:

$32=a(1-2)(1+7)$

We can now solve for a. First, compute:

$32=a(-1)(8)$

Multiply:

$32=-8a$

Divide both sides by -8:

$a=-4$

So, the value of a is -4.

Therefore, our entire equation is:

$f(x)=-4(x-2)(x+7)$

Notes:

We can expand this into standard form:

$f(x)=-4(x-2)(x+7) \\ f(x)=-4(x^2+5x-14) \\ f(x)=-4x^2-20x+56$

5 0

3 years ago

How are integers and their opposites related? give an example with numbers.

alukav5142 [94]

Answer:

Integers are the set of whole numbers and their opposites. Whole numbers greater than zero are called positive integers. Whole numbers less than zero are called negative integers. The integer zero is neither positive nor negative, and has no sign. Two integers are opposites if they are each the same distance away from zero, but on opposite sides of the number line. Positive integers can be written with or without a sign. an example with numbers is 17positive and 17 negative both are 17 (clicks/jumps/etcetera) away from 0. There is no 0 positive or negative.

7 0

3 years ago

Describe what the graph of h (x)= x-6x-8x-3 looks like at the zero of x=-1

Natalka [10]

<span> P(x)=3, Q(x)=4x - 7, R(x) = x2 + x, S(x)=2x3. - 6x ... (b) The graph of Q(x)=(x + 1)5 is the graph of y = x5 shifted to the left 1 unit. (c) We begin with ...and negative leading coefficient, so the end behavior of P is similar to -x2: y → -с as x ... zeros of P are the solutions of the polynomial equation P(x) = 0. Note that if ...</span><span>
</span>

6 0

4 years ago

pioneers are buying mules to trek across the country. each of the 5 wagons require e mules to pull them. write the equation to e

tekilochka [14]

Answer:

d = 5e

Step-by-step explanation:

Number of wagons = 5

Number of miles per wagon = e

Total number of mules = d

Hence, relationship between total mules d needed will be ;

Total mules = number of wagons * Numbe rof mules per wagon

d = 5e

4 0

3 years ago

What angle does an arc 5.5cm in length subtend at the center of a circle of diameter 7cm

kotykmax [81]

Answer:

Step-by-step explanation:

Circumference of circle = 7π cm

θ = 2π × 5.5/(7π) = 11/7 radians

5 0

3 years ago