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Blizzard [7]
2 years ago
7

Calculate:

Mathematics
1 answer:
Dvinal [7]2 years ago
3 0

Answer:

I don't need your brainliest mark but your answer is given below:

Step-by-step explanation:

A) (30/100) × 50 = 15

B) (45/ 100 ) × 2000 = 900

C) ( 4/ 100 ) × $70 = 2.8

D) ( 2.5/ 100) × 5000 = 125

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For what values of the variable, do the following fractions exist: y^2-1/y+y/y-3
ale4655 [162]

Answer:

Remember that the division by zero is not defined, this is the criteria that we will use in this case.

1) \frac{y^2 - 1}{y}  + \frac{y}{y - 3}

So the fractions are defined such that the denominator is never zero.

For the first fraction, the denominator is zero when y = 0

and for the second fraction, the denominator is zero when y = 3

Then the fractions exist for all real values except for y = 0 or y = 3

we can write this as:

R / {0} U { 3}

(the set of all real numbers except the elements 0 and 3)

2) \frac{b + 4}{b^2 + 7}

Let's see the values of b such that the denominator is zero:

b^2 + 7 = 0

b^2 = -7

b = √-7

This is a complex value, assuming that b can only be a real number, there is no value of b such that the denominator is zero, then the fraction is defined for every real number.

The allowed values are R, the set of all real numbers.

3) \frac{a}{a*(a - 1) - 1}

Again, we need to find the value of a such that the denominator is zero.

a*(a - 1) - 1 = a^2 - a - 1

So we need to solve:

a^2 - a - 1 = 0

We can use the Bhaskara's formula, the two values of a are given by:

a = \frac{-(-1) \pm \sqrt{(-1)^2 + 4*1*(-1)}  }{2*1}  = \frac{1 \pm \sqrt{5} }{2}

Then the two values of a that are not allowed are:

a = (1 + √5)/2

a = (1 - √5)/2

Then the allowed values of a are:

R / {(1 + √5)/2} U {(1 - √5)/2}

7 0
2 years ago
Solve for the unknown side in the right triangle if b=24 and c=26 find a
cluponka [151]

Answer:

Option C

Step-by-step explanation:

Use the <u>Pythagorean Theorem</u> to find the unknown side.

a^2+b^2=c^2

<h3>We are given that:</h3>
  • b=24
  • c=26

We need to solve for a.

a^2+24^2=26^2\\\\ \text {Solve Exponents:}\\\rightarrow 24^2 = 576\\\rightarrow 26^2 = 676\\\\a^2+576=676\\\rightarrow a^2+576-576=676-576 \text{ (Subtraction Property of Equality)}\\a^2=100\\\sqrt{a^2} =\sqrt{100} \text { (Take the square root on both sides.) }\\\\\boxed {a=100}

<em>Option C should be the correct answer.</em>

3 0
3 years ago
Read 2 more answers
If you had a slope of 3 and a y-intercept of 2, the equation should be
Lady bird [3.3K]

Answer:

y=3x+2

Step-by-step explanation:

There is enough information to make a equation in slope-intercept form.

y=mx+b

'm' is the slope. 'b' is the y-intercept.  

In the given question, 3 is the slope and 2 is the y-intercept. This means that:

m = 3

b = 2

Plug in the appropriate values:

y=mx+b\rightarrow\boxed{y=3x+2}

Hope this helps.

7 0
3 years ago
What is the product of 3x-4+x^2-1+2x^2-15
spayn [35]
3x - 4 + x^2 - 1 + 2x^2 - 15
3x^2 + 3x - 20
I wasn't sure if you wanted me to solve for x, but I did anyways.
x ≈ 1.86, or -2.86

7 0
3 years ago
Can someone help me with this
Natali [406]

Answer:

Slope is defined as rise over run, which can be expressed as the difference of the y-coordinates divided by the difference of the x-coordinates. If we rise, we are moving vertically, or along the y-axis. If we run, we are moving horizontally, or along the x-axis.

The formula for the slope m of a line given two points (x1, y1) and (x2, y2) that lie on the line is:

m = (y2 - y1)/(x2 - x1)

m = (15 - 5)/(-6 - 4)

m= 10/-10

m = -1

Now, we can use the slope-intercept form of the equation of a line to obtain the equation of the line that satisfies the conditions outlined in the problem. Slope-intercept form is:

y = mx + b

Again, m represents the slope, while b stands for the y-intercept. We can use either point on the line to represent x and y. Let's choose the point (4, 5)

5 = -1(4) + b

5 = -4 + b

9 = b

The equation of the line is:

y = -x + 9

7 0
3 years ago
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