All categories

3 years ago

-2x + 4 = 14 show all work

Mathematics

1 answer:

umka21 [38]3 years ago

6 0

Answer:

x=-5

-2x + 4 = 14

-4 = 14-4

-2x=10

-2/-2=10/-2=-5

x=-5

Step-by-step explanation:

You might be interested in

Plz help I'm halfway through the lesson

Solnce55 [7]

3.5555555556 / the third one

5 0

3 years ago

Read 2 more answers

Fred has 36 strawberries and 42 blueberries. He wants to use them to garnish desert so that each desert has the same number of b

DENIUS [597]

To do this problem you must find the GCF or the greatest common factor of 36 and 42. For example 36 can be made by 1 and 36 2 and 18 3 and 12 4 and 9 and 6 and 6. 42 can be made by 1 and 42 2 and 21 3 and 14 and 6 and 7. The highest common factor is 6. So, if you put 6 berries on all of the desserts, you will put 6 strawberries on 6 tarts and 6 blueberries on 7 tarts. That’s a total of 13 desserts

7 0

3 years ago

Pls answer.. 5 men earns Rs. 7500 in 3 days, gind the amount that earn by 3 men by 4 days,

Elena-2011 [213]

Answer:

3 men = Rs. 6000 = 4 days

Step-by-step explanation:

→ Find how much 1 man make in 3 days

1 man = Rs. 1500 = 3 days

→ Find how much he makes in 1 day

1 man = Rs. 500 = 1 day

→ Find how much one man can make in 4 days

1 man = Rs. 2000 = 4 days

→ Find how much 3 men will make

3 men = Rs. 6000 = 4 days

6 0

3 years ago

Y=-x^2+6x-4 Find the Axis of Symmetry and the Vertex, Also solve the whole equation.

Inessa [10]

Answer:

1. Axis of symmetry: x = 3

2. Vertex: (3,5)

3. Solution of the equation:

x-intercepts:

$(3-\sqrt{5},0) \\\\(3+\sqrt{5},0)$

y-intercept: (0, -4)

Explanation:

1. Equation:

$y=-x^2+6x-4$

2. Axis of symmetry:

That is the equation of a parabola, whose standard form is:

$y=ax^2+bx+c$

Where:

$a=-1;b=6;c=-4$

The axis of symmetry is the vertical line with equation:

$x=-b/2a$

Substitute $a=-1,\text{ and }b=6$

$x=-6/[(2)(-1)]=-6/(-2)=3$

Thus, the axis of symmetry is:

$x=3$

3. Vertex

The x-coordinate of the vertex is equal to the axys of symmetry, i.e x = 3.

To find the y-xoordinate, substitute this value of x into the equation for y:

$y=-x^2+6x-4\\\\y=-(3)^2+6(3)-4=-9+18-4=5$

Therefore, the vertex is (3, 5)

4. Find the x-intercepts

The x-intercepts are the roots of the equation, which are the points wher y = 0.

$y=-x^2+6x-4=0$

Use the quadratic equation:

$x=\frac{-b\pm \sqrt{b^2-4ac} }{2a} \\\\x=\frac{-6\pm\sqrt{(-6)^2-4(-1)(-4)} }{2(-1)}\\\\x_1=3-\sqrt{5} \\\\x_2=3+\sqrt{5}$

5. Find the y-intercept

The y-intercet is the value of y when x=0:

$y=-x^2+6x-4\\\\y=-(0)^2+6(0)-4=-4$

7 0

4 years ago

Find the probability. An IRS auditor randomly selects 3 tax returns (without replacement) from 47 returns of which 5 contain err

grin007 [14]

Number of returns = 47
Number of returns that contain errors = 5
Number of returns that does not contain error = 47 - 5 = 42

P(selecting none that contains error in the unreplaced selection) = 42/47 x 41/46 x 40/45 = 68880 / 97290 = 0.708

option C is the correct answer.

8 0

3 years ago