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2 years ago

The number line represents – 4 + 3)

Mathematics

1 answer:

zepelin [54]2 years ago

7 0

Answer:

- 4 1/2 + 3 1/4

-9/2 + 13/4

the lcm is 4

-18/4 + 13/4

=-5/4

= -1 1/4

Step-by-step explanation:

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Cups come in packages of 12 and lids come in packages of 15. What is the least number of cups and lids that Corrine can buy if s

Natasha2012 [34]

5 packs of cups and 4 packs of lids

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3 years ago

Graph AB¯¯¯¯¯¯¯¯ with endpoints A(−6, −1) and B(−5, 3) and its image after the composition.

Alona [7]

Answer:

Step-by-step explanation:

AB=-6×-5÷-1×3

AB= 30÷-3

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2 years ago

For what value of k is there one solution to the given quadratic equation (k+1)x²+4kx+2=0.

andriy [413]

Answer:

If $k = 1$ or $k = -\frac{1}{2}$ , there is only one solution to the given quadratic equation.

Step-by-step explanation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = (x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

The signal of $\bigtriangleup$ determines how many real roots an equation has:

$\bigtriangleup > 0$ : Two real and different solutions

$\bigtriangleup = 0$ : One real solution

$\bigtriangleup < 0$ : No real solutions

In this problem, we have the following second order polynomial:

$(k+1)x^{2} + 4kx + 2 = 0$ .

This means that $a = k+1; b = 4k; c = 2$

It has one solution if

$\bigtriangleup = 0$

$b^{2} - 4ac = 0$

$16k^{2} -8(k+1) = 0$

$16k^{2} - 8k - 8 = 0$

We can simplify by 8

$2k^{2} - k - 1 = 0$

The solution is:

$k = 1$ or $k = -\frac{1}{2}$

So, if $k = 1$ or $k = -\frac{1}{2}$ , there is only one solution to the given quadratic equation.

4 0

3 years ago

Rewrite in mathematical language. Every negative integer J is less than or equal to its inverse.

Luda [366]

Answer:

$-J \leq J$

Step-by-step explanation:

Given

Negative integer J

Required

Represent as an inequality of its inverse

The question didn't state if it's additive inverse or multiplicative inverse;

<em>Since the question has to do with negation, I'll assume it's an additive inverse</em>

The inverse of -J is +J

To represent as an inequality (less than or equal), we have:

$-J \leq +J$

Solving further, it gives

$-J \leq J$

3 0

3 years ago

HELP ME PLEASE!!! The function f(x) is graphed on the coordinate plane. What is f(−2) ? Enter your answer in the box. f(−2) =

Ksenya-84 [330]

Answer:

f(-2)=-2

Step-by-step explanation:

we know that

x -----> is the independent variable or input value

f(x) ---> is the dependent variable or output value

f(-2) is the value of the function f(x) when the value of x is equal to -2

For x=-2

Looking at the graph

f(-2)=-2

For an input value of -2 the output value is -2

5 0

2 years ago