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3 years ago

Evaluate 6g +1 for g =7

Mathematics

2 answers:

Verizon [17]3 years ago

6 0

Answer:

Your answer is 43

Step-by-step explanation: You have to substitue 7 for g since it says g=7

6g +1 --- GIVEN

6(7) + 1 --- SUBSTITUTION

42 + 1 --- MULTIPLICATION

43 --- ADDITION

nikitadnepr [17]3 years ago

3 0

Answer:

Step-by-step explanation:You first have to write the equation down. Then replace any variables with numbers. Do 6 times 7 which equals 42. Then add 1 to the answer which equals 43. Hope this is helps!! ☺☻

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Can someone explain to me how to remove all the perfect squares ? I’m kind of confused and my teacher is unavailable to help and

mixer [17]

Answer:

b^2√30b

Step-by-step explanation:

√30b^5 - Original

Break down the radical with its factors (factor tree)

√3*2*5*b*b*b*b*b

See what perfect squares you can take out (Can take out four b terms) You cant take out any perfect squares involving 30 since there are no perfect squares

b^2√3*2*5*b

b^2√30b

4 0

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

I NEED HELP NOOOOOWWWW!!!!!!!!

In-s [12.5K]

Answer: $1590cm^3$

Step-by-step explanation:

$V=\frac{3\sqrt{3} }{2}a^2h$

a = base

h = height

$V=\frac{3\sqrt{3} }{2}(6cm)^2(17cm)$

Solve the parentheses squared first.

$V=\frac{3\sqrt{3} }{2}(36cm^2)(17cm)$

2 and 36 can be simplied

2/2=1

36/2=18

$V=3\sqrt{3}(18cm^2)(17cm)$

$V=3\sqrt{3}(306cm^3)\\ V=1590.02cm^3$

Rounded to the nearest whole number... $1590cm^3$

3 0

3 years ago

What is the area of triangle DEF?

FrozenT [24]

Answer:

$A=2\sqrt{14}\ units^2$

Step-by-step explanation:

we know that

Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.

$A=\sqrt{s(s-a)(s-b)(s-c)}$

where

a, b and c are the length sides of triangle

s is the semi-perimeter of triangle

we have

$a=5\ units,b=6\ units,c=3\ units$

<em>Find the semi-perimeter s </em>

s= $\frac{5+6+3}{2}=7\ units$

Find the area of triangle

$A=\sqrt{7(7-5)(7-6)(7-3)}$

$A=\sqrt{7(2)(1)(4)}$

$A=\sqrt{56}\ units^2$

simplify

$A=2\sqrt{14}\ units^2$

3 0

2 years ago

it takes 52 minutes for 5 people to paint 5 walks. how many minutes does it take 20 people to paint 20 walks

Viktor [21]

Answer:

52min

Step-by-step explanation:

5 people..............5 walls............52 min

1 people...............5 walls...........52 x 5=260 min

1 people................20 walls.........260 x 4 =1040 min

20 people................20 walls........1040:20=52 min

7 0

3 years ago

Read 2 more answers