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Fynjy0 [20]
3 years ago
8

Determine the intercepts of the line. D y= –2x – 21 X-intercept: y-intercept:

Mathematics
1 answer:
Andrews [41]3 years ago
4 0
The x intercept would be -2
and the y intercept would be 21
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What is the multiplicative inverse of the sum of 1/3 + 1/5 ? Express in simplest form
Dima020 [189]
\frac{8}{15}

My Work/Reasoning:
First we find the sum of 1/3 and 1/5. \frac{1}{3} + \frac{1}{5} = \frac{5}{15} + \frac{3}{15} = \frac{8}{15}
Then, we find the multiplicative inverse, I guess it's also known as the reciprocal. \frac{8}{15} turns into \frac{15}{8}
Finally, we simplify. \frac{15}{8}=1 \frac{7}{8}
5 0
3 years ago
The larger of two numbers is eight more than twice the smaller. The sum of the numbers is 10 less than three times the larger. F
Alinara [238K]

Answer:

-2 and 4

Step-by-step explanation:

Let's set the larger number to x, and the smaller to y. With these, we can set up our equations.

x = 2y + 8

x + y = 3x - 10

Now, we put the value of x into the second equation.

2y + 8 + y = 3(2y + 8) - 10

Now we can solve for y

3y + 8 = 6y + 24 - 10

3y + 8 = 6y + 14

8 = 3y + 14

-6 = 3y

-2 = y

Now that we have the smaller number, we can put it into the first equation and solve for the larger.

x = 2*-2 + 8

x = -4 + 8

x = 4

So your two numbers are -2 and 4.

3 0
3 years ago
No more than 18 people are allowed in the gallery at one time. write a inequality
Zielflug [23.3K]
People at gallery <u><</u>18 is the inequality 
6 0
3 years ago
The length of a rectangle 8 more than the width .the area is 513 square inches .find the length and width of the rectangle
Pani-rosa [81]

Answer:

width =19 inches

length= 27 inches

Step-by-step explanation:

Let width be w inches so according to given scenario as length is 8 more than width so the equation becomes

l=8+w inches (Equation 1)

Area of Rectangle= L*w

Area= 513

L*w=513    (Equation 2)

Putting l's value from equation 1 in equation 2

(8+w)w=513

w^2+8w-513=0

Making Factors

w^2+27w-19w-513=0

w(w+27)-19(w+27)=0

(w-19)(w+27)=0

w=19, w=-27

as width cannot be negative so if we only consider w=19 then

l=8+19

l=27

3 0
3 years ago
Roots of Quadratics 50 PTS!!!
noname [10]

The values of k for the different quadratic equation solutions are as follows

a  the equation 2x² - x + 3k = 0 has two distinct real roots

  • k < 1/24

b. the equation 5x² - 2x + (2k − 1) = 0 has equal roots

  • k = 3/5

ci the equation -x² + 3x + (k + 1) = 0 has real roots

  • k > -3.25

d the equation 3kx² - 3x + 2 = 0 has no real solutions

  • k < ± 1.633

<h3>How to solve quadratic equations to get different answers</h3>

Quadratic equations of the form ax² + bx + c = 0 is solved using the formula

-b+\frac{\sqrt{b^{2}-4ac } }{2a}     OR     -b-\frac{\sqrt{b^{2}-4ac } }{2a}

The equation b² - 4ac is called the discriminant and it is used as follows

To solve the equation and get two real roots: 2x² - x + 3k = 0

  • b² - 4ac > 0

substituting the values gives

(-1)² - 4 * 2 * 3k > 0

1 - 24k > 0

1 > 24k

divide through by coefficient of k

k < 1/24

To solve the equation and get equal roots: 5x² - 2x + (2k − 1) = 0

  • b² - 4ac = 0

substituting the values gives

(-2)² - 4 * 5 * (2k - 1) = 0

4 - 40k + 20 = 0

-40k = -24

divide through by coefficient of k

k = 3/5

To solve the equation and get real roots  -x² + 3x + (k + 1) = 0

  • b² - 4ac > 0

substituting the values gives  

(3)² - 4 * -1 * (k+1) > 0

9 + 4k + 4> 0

4k > -13

divide through by coefficient of k

k > -3.25

To solve the equation and get  no real solutions  3kx² - 3x + 2 = 0

  • b² - 4ac < 0

substituting the values gives  

(-3)² - 4 * 3k * 2 < 0

9 - 24k² > 0

9 > 24k²

divide through by coefficient of k²

k² < 24/9

k < ± 1.633

Learn more about roots of quadratic equations: brainly.com/question/26926523

#SPJ1

4 0
1 year ago
Read 2 more answers
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