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1 year ago

4x+10=-26 two-step equation

Mathematics

1 answer:

Nana76 [90]1 year ago

7 0

Answer:

x = -9

Step-by-step explanation:

4x+10=-26

Subtract 10 from each side

4x+10-10=-26-10

4x = -36

Divide each side by 4

4x/4 = -36/4

x = -9

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Write the equation of the parabola in vertex form.

givi [52]

Answer: -9 = a(1 - 3)² + 3

Step-by-step explanation:

Vertex Form Equation:

y = a(x - h)² + k

vertex: (h, k) which means

h = 3

k = 3

because your vertex is (3, 3).

Your point is (1, -9) which is (x, y).

This means

x = 1

y = -9

Now, plug everything into your Vertex Form Equation:

-9 = a(1 - 3)² + 3

That’s your equation and final answer, but of course, if you need to, you can solve for a if you need to.

If a is positive, the parabola opens up. If a is negative, the parabola opens down.

Hope this helps!

3 0

3 years ago

Jack has two more than half as many cups as

Rufina [12.5K]

Step-by-step explanation:

$(x \div 2 + 2) + \frac{(x \div 2 + 2)}{2} + x$

its hard to determine without the known value of x, but the above would be the equation needed to solve it if you knew what x was

4 0

3 years ago

The average value of two positive numbers is 30% less than one of the two numbers. By which percentage is average value bigger t

Viefleur [7K]

Answer:

75% bigger

Step-by-step explanation:

Let the first number be x and the second be y.

So:

$Average = \frac{x + y}{2}$

And:

$Average = (1 - 30\%) * x$ -----30% less than x

Substitute $Average = (1 - 30\%) * x$ in $Average = \frac{x + y}{2}$

$\frac{x + y}{2} = (1 - 30\%) * x$

$\frac{x + y}{2} = (1 - 0.30) * x$

$\frac{x + y}{2} = 0.70 * x$

$\frac{x + y}{2} = 0.70x$

Cross multiply

$x + y = 0.70x * 2$

$x + y = 1.40x$

Collect like terms

$1.40x - x = y$

$0.40x = y$

Make x the subject

$x = \frac{y}{0.40}$

$x = 2.50y$

So, the average is:

$Average = (1 - 30\%) * x$

$Average = (1 - 30\%) * 2.50y$

$Average =0.70 * 2.50y$

$Average =1.75y$

Rewrite as:

$Average =(1 + 0.75)y$

Express as percentage

$Average =(1 + 75\%)y$

This means that the average is 75% bigger than the second number

6 0

2 years ago

PUPUL 2

grandymaker [24]

Answer:

37.045

Step-by-step explanation:

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2 years ago

Why are standardized units of measure important to scientists?

iris [78.8K]

Why are standardized units of measure important to scientists?

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2 years ago