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3 years ago

Please help me with my Algebra question.

1 answer:

4 0

54 = x + (x+6) + x + (x+6)
54 = 4x +12
42 = 4x
10.5 = x

The two shorter sides (x) are 10.5 cm, the two longer sides are (10.5+6, that is 6 cm longer) 16.5 cm. 10.5 + 10.5 + 16.5 + 16.5 = 54 cm.

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Jackson earns $25 per hour as a tutor at the college library. he set a weekly spending budget of $130 a week and push the remain

a_sh-v [17]

Answer:

Jackson should work at least 8 hours this week to achieve his target.

Step-by-step explanation:

Jackson's hourly income = $25

His weekly spending budget = $130

Minimum amount to be pushed to the savings account = $50

So, minimum total amount Jackson should earn this week = 130 + 50 = 180

Number of hours to work this week = $\frac{Minimum total amount}{hourly income}$

= $\frac{180}{25}$

= 8 rounded to next integer

Hence, Jackson should work at least 8 hours this week to achieve his target.

6 0

3 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

Determina si el número 2,340 es divisible por 2,3,5,9,y 10. Explica tu respuesta.

Eddi Din [679]

2340 es divisible por estos números. La resonanica wue entran en este número es porque todos son factores de este número.

6 0

4 years ago

Read 2 more answers

State the slope and y-intercept<br> y=3x+4

WARRIOR [948]

slope intercept form: y=mx+b

y=3x+4

slope is also m

b is the y-intercept

answer:

slope is 3

y-intercept is 4

5 0

3 years ago

Read 2 more answers

ruslelena [56]

I need more information to answer this question.

8 0

3 years ago