A system of two equations is shown below: Equation C: a = 2b + 7 Equation D: a = 5b − 3 What value of a can be substituted into equation D to solve the system of equations?

6) The solution set of the equation x² + 8x - 15 = 5x + 13 is {-7, 4}.

7) The zeroes of the expression 2x (x - 5) (x + 7) are {-7, 0, 5}.

8) The expression (x + 5) (x + 8) + (x + 5)(2x - 3) can be written as a product of (x + 5) and (3x + 5).

9) There are 2 integer solutions on the interval 0 ≤ x ≤ 10 for the equation x³ - 5x² + 2x + 13 = 5.

We have,

6)

x² + 8x - 15 = 5x + 13

Rearranging the equation:

x² + 8x - 5x - 15 - 13 = 0

x² + 3x - 28 = 0

Now, factorize the quadratic equation:

(x + 7)(x - 4) = 0

Setting each factor equal to zero:

x + 7 = 0 or x - 4 = 0

Solving for x:

x = -7 or x = 4

7)

2x (x - 5) (x + 7) = 0

Setting each factor equal to zero:

2x = 0 or x - 5 = 0 or x + 7 = 0

Solving for x:

x = 0 or x = 5 or x = -7

8)

(x + 5) (x + 8 + 2x - 3)

Simplifying the expression inside the parentheses:

(x + 5) (3x + 5)

9)

x³ - 5x² + 2x + 13 = 5

Substitute each integer value from 0 to 10 into the equation and count the number of solutions.

Substituting each integer value,

x = 0,

x³ - 5x² + 2x + 13 = 5

0 - 0 + 0 + 13 = 5

13 = 5

Not true.

Similarly,

x = 2,

x³ - 5x² + 2x + 13 = 5

8 - 20 + 4 + 13 = 5

25 - 20 = 5

5 = 5

True.

x = 4,

x³ - 5x² + 2x + 13 = 5

64 - 80 + 8 + 13 = 5

85 - 80 = 5

5 = 5

True.

There are two integer solutions:

x = 2 and x = 4.

Therefore,

The solution set of the equation x² + 8x - 15 = 5x + 13 is {-7, 4}.

The zeroes of the expression 2x (x - 5) (x + 7) are {-7, 0, 5}.

The expression (x + 5) (x + 8) + (x + 5)(2x - 3) can be written as a product of (x + 5) and (3x + 5).

There are 2 integer solutions on the interval 0 ≤ x ≤ 10 for the equation x³ - 5x² + 2x + 13 = 5.

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Answer:

padlet        com     /vpena20241    

/sv1blyklvnvfbcdw

Step-by-step explanation:

Answer: below

Step-by-step explanation: Given f(x) =kxn where k is a constant, then f'(x) = nkx(n - 1)

Can you apply this principle to this problem, Let me know if you have any further questions about this problem. Thanks.

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Step-by-step explanation:

[tex] - 2 \times \frac{1}{2} \div 3 \times \frac{1}{2 } \\ - \frac{5}{2} \div \frac{7}{2} \\ - \frac{5}{2} \times \frac{2}{7} \\ = - \frac{5}{7} [/tex]

Answer:

76

Step-by-step explanation:

Answer:

Your slope is -1

Step-by-step explanation:

Find the change in x and the change in y and put it in change in y over change in x.

Δx = -1 - -2 = 1

Δy = -1 - 0 = -1

Slope = rise over run = Change in y over change in x =  Δy/Δx = -1/1

Therefore the slope is -1/1 which is written as just -1

Answer:

The answer is 13%

Step-by-step explanation:

The approximate percent increase is 13%.

Percentage increase is the difference between the final value and the initial value, expressed in the form of a percentage. To calculate the percentage we need to have the initial value and the increased (new) value. In other words, we can say that percentage increase is a measure of percent change which gives the extent to which a quantity gains magnitude, intensity, or value. If the percentage increase is a negative value, then we can say that there is a percentage decrease of the same magnitude.

Following the concept of percentage increase, the percentage increase formula is derived and expressed as: Percentage Increase = [(Final Value - Initial Value)/Initial Value] × 100. It should be noted that since the percentage has to be a positive quantity, we take the absolute value of the initial value. If the percentage increase is a negative value, then it is a percentage decrease. The percentage increase is the relative change in the quantity with respect to its initial value. If the percentage change is positive, then it is the percentage increase and if the percentage change is negative, it is a percentage decrease.

Given:

initial =$900,000

Final = $900,000

% increase = $900,000- $800,000/ $800,000 * 100

% increase = 100, 000/8000

% increase = 12.5 %

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Answer:

B.

Step-by-step Explanation:

The correct number line for -2.75 < x in the given options is the second diagram.

A number line is a picture of straight line that represents real numbers. These real numbers include both negative and positive numbers.

For the given expression which -2.75 < x, that is negative 2.75 is less than x or x is greater than negative 2.75.

On the number line, the arrow with unshaded circular bottom must start from -2.75 and point towards the right.

Thus, the correct number line in the given options is the second diagram or option B.

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Answer:

11

Step-by-step explanation:

3 - (-8) = 3 + 8 = 11

Answer: 11

Step-by-step explanation:

This is because when you subtract a negative number from a positive you get a positive (here's a lil trick if you have 2 minuses In a row they become a plus sign) so the answer is 11

Answer:

The Correct answer is D.) 5(45 – h)

Step-by-step explanation:

x can be replaced by 5(45 - h)

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Answer:

its d

Step-by-step explanation:

just took the quiz

Answer:

ok

Step-by-step explanation:

Answer:

7 is the greatest comman factor of 28 and 49

AnswerA

Step-by-step explanation:I’m not sure

Answer:72.1

103*.7=72.1

I hope this is good enough:

Answer:

WX = 24

Step-by-step explanation:

Centroid of a triangle divides the medians of the triangle in the ratio 2 : 1

Therefore,

WM/ MX = 2/1

16/MX = 2/1

2MX = 16

MX = 16/2

MX = 8

WX = WM + MX

WX = 16 + 8

WX = 24

The value of the side WX  is equal to 24. The correct option is B.

The center of the thing is represented by its centroid. The centroid of a triangle is the location where the triangle's three medians intersect. It can alternatively be described as the location where the three medians come together.

A line connecting a side's midpoint and the triangle's opposite vertex is called the median. Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.

The centroid of a triangle divides the medians of the triangle in the ratio of 2: 1.

Here, the ratio of the two sides will be given as:-

WM/ MX = 2/1

Calculate the value of MX to get the value of WX.

16/MX = 2/1

2MX = 16

MX = 16/2

MX = 8

The value of WX will be:-

WX = WM + MX

WX = 16 + 8

WX = 24

Therefore, the value of the side WX  is equal to 24.

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Answer:

x=5

Step-by-step explanation:

We know that a pentagon is in total 540 degrees. From this, we add all other numbers and set them equal to 540 to solve for x.

So, after adding all the angles and setting them equal to 540, we get this.

21x+435=540

21x=105

x= 5

If you want, plug 5 into x and see if it adds up to 540 to check

21(5)+435=540

Answer:

Too much

Step-by-step explanation:

Too much

Answer:

Step-by-step explanat it won’t let me download the PFDPLZZ give me brainless I’ll still help you put the questions in the comment section

Answer:

9

Step-by-step explanation:

Answer: a. $9.45 ; b. $135.45

Step-by-step explanation:

Since two pairs of shorts for $25 each, the total amount she'll pay for the shorts is:

= $25 × 2

= $50

Since the four shirts with an average cost of $19 per shirt. The total amount she'll pay for the shirt is:

= $19 × 4

= $76

A. Her sale tax will be calculated as:

= 7.5% × ($50 + $76)

= 0.075 × $126

= $9.45

B. Her total cost will be:

= Cost of shorts + Cost of shirts + Sales tax

= $50 + $76 + $9.45

= $135.45

Answer:

Part A- 9.45  Part B- 135.45

Step-by-step explanation:

Answer:

83

Step-by-step explanation:

Answer:

x = 59

y = 83

Step-by-step explanation:

First, you need to solve for y in order to solve for x. Using the Triangle Sum Theorem, you will find that y is 83 degrees.

Now, using the Vertical Angles Theorem, you can figure out the third angle of the triangle in which x is, 83.

Using the Triangle Sum Theorem again, you will find that x is 59.

Answer:

how are yall so smart bc im sittin over here like bruh these guys are smarter than enistain

Step-by-step explanation:

Answer:

8/-11

Step-by-step explanation:

m=y2-y1/x2-x1

16-8=8

9-20=(-11)

8/-11

hope this helps :3

if it did pls mark brainliest

Answer:

138/92*320 = 480 milligrams. ... If the antibiotic is given proportionally according to the patient's weight, how much antibiotic should be given to a patient who ... If the antibiotic is given proportionally according to the patient's weight, how much antibiotic should be given to a patient who weighs 138 pounds. 2.

Step-by-step explanation:

I hope I help :)

Answer:

a) -5 and 4 make the mathematically smallest number when multiplied together

b) 4 and -5 make the greatest sum

Step-by-step explanation:

-5 x 4 = -20

-3 x 4 = -12

-2 x 4 = -8

-1 x 4 = -4

-1 + -5 = -6

-2 + -5 = -7

-3 + -5 = -8

4 + -5 = -1

Answer:

Option B) (0,0) is the correct answer.

Step-by-step explanation:

Given equation of circle is:

[tex]x^2+y^2 = 2[/tex]

The general form of equation of circle with center at (h,k) and radius r is given by:

[tex](x-h)^2+(y-k)^2 = r^2[/tex]

The given equation of circle can also be written as:

[tex](x-0)^2+(y-0)^2 = 2[/tex]

Comparing it with the general form of equation, we get

h = 0 , k = 0

So the center is (0,0)

Hence,

Option B) (0,0) is the correct answer.

Answer:

10

Step-by-step explanation:

1/2  4/5 turn into

5/10   8/10

since 10 is the denominator 2*5 =10 so take the 5 and times by the numerator or 1 to make the 5

5*2 is 10 so take 2 times the numerator (4) to make 8