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3 years ago

Plz anyone help I don't understand this Simplify: (–6) • (7) – (6) • (–2)

1 answer:

8 0

You must perform a subtraction between the result of two multiplications. In fact, since multiplications have a higher priority than subtraction, you must perform them first. Also, remember that a positive times a negative is a negative.

So, you must perform the operations in this order:

$[-6\cdot 7]-[6\cdot(-2)] = [-42]-[-12] = -42+12 = -30$

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3 + 2 x 7 - 30(^2) help me

shepuryov [24]

There is no solution to this problem. Why? Well, see below for an explanation!

We can initially solve this problem using PEMDAS. Where we go wrong will be identified later. The P stands for Parenthesis, but there are none in this equation so we can skip that step. Next is E, which stands for Exponents. We do have an exponent, but it is separate from the problem. That would deem the problem invalid to solve because there is no base number for the exponent to be solved. Disregarding the exponent, we can solve by using M, which means Multiplication.

2 x 7 = 14

Next step, we can simplify to make the equation a tad bit neater.

3 + 14 - 30

Next up is D, meaning we need to divide. There are no numbers to divide though, so this step can be skipped.

Next step would be A, meaning we need to add.
3 + 14 = 17

Next step, we can simplify to make the equation neater as stated above.

17 - 30

17 - 30 = -13.

Disregarding the exponent, your answer would be -13. Including the exponent, however, would make the equation irrelevant. If you need extra help understanding this, let me know and I will gladly assist you.

3 0

2 years ago

Which statements about functions g(x) = x2 - 4x + 3 and f(x) = x2 - 4x are true? Select all that apply.

Tanya [424]

Answer:

A and B

Step-by-step explanation:

We are given that

$g(x)=x^2-4x+3$

$g(x)=(x^2-2\times x\times 2+4)-4+3=(x-2)^2-1$

Compare with it

$y=(x-h)^2+k$

Where vertex=(h,k)

We get

Vertex of g=(2,-1)

$f(x)=x^2-4x=(x^2-2\times x\times 2+4)-4=(x-2)^2-4$

Vertex of f=(2,-4)

Equation of axis of symmetry=x-coordinate of vertex

Axis of symmetry of g

x=2

Axis of symmetry of f

x=2

Differentiate w.r.t x

$g'(x)=2x-4=0$

$2x-4=0\implies 2x=4$

$x=\frac{4}{2}=2$

$f'(x)=2x-4$

$2x-4=0\implies 2x=4$

$x=\frac{4}{2}=2$

$g''(x)=2>0$

$f''(x)=2>0$

f and g have both minima at x=2

Hence, option A and B are true.

8 0

4 years ago

Cameron wanted to buy large cookies for the 24 children in his class. Each cookie costs $0.25. How much change will he receive f

Aneli [31]

Answer:

Step-by-step explanation:

0.25 x 24= 6

he spends 6 dollars

10 - 6 =4

$4 as change

7 0

4 years ago

Given a circle with a diameter of 2/3, which equation expresses π as the ratio of the circumference of a circle to its diameter?

Advocard [28]

The circumference of a circle can be found using the equation: c = 2πr, where c=circumference and r=radius.
The radius of the circle is also equal to half the diameter: r = $\frac{1}{2} d$ , where r=radius and d=diameter.

Plug the equation for the radius of the circle into the equation for the circumference of the circle and simplify to get an equation that relates circumference and diameter:
$c = 2 \pi r\\
c = 2 \pi (\frac{1}{2} d)\\
c = \pi d$

Now solve that equation for π (aka isolate π) to get the ratio of the circumference to the diameter:
$c = \pi d \\
 \pi = \frac{c}{d}$

You know that the diameter, $d = \frac{2}{3}$ , so plug that into your ratio to get your answer. Remember that dividing by a fraction is equal to multiplying by the inverse of that fraction (aka the fraction flipped):
$\pi = \frac{c}{d}\\
\pi = \frac{c}{\frac{2}{3}}\\
\pi = c \times \frac{3}{2} \\
\pi = \frac{3c}{2} 
$

Your answer is B) 3C/2 = π.

6 0

3 years ago

Read 2 more answers

Zahra was given two data sets, one without an outlier and one with an outlier. Data without an outlier: 15, 19, 22, 26, 29 Data

Nataly_w [17]

Answer:

The median is increased by 2

Step-by-step explanation:

The median is the number in the middle of the data when looked at from lowest value to greatest value. For the first data set, the median is 22. There are five values, and 22 has two values on both sides. For the second data set, the median is 24. Since there is an even number of data values, you have to take the two middle values, which are the values that have the same amount of values on each sides, and then find the average of those two values. To find the average, add up the values you are trying to find the average of, and then divide the sum by the number of values. The two middle values are 22 and 26 because there are two numbers on either side of them. (On the left side, there are the numbers 15 and 19, and on the right side, 29 and 81.) The average of 22 and 26 is 24 because 22 + 26 = 48, and 48/2 = 24. 24 is 2 greater than 22.

3 0

3 years ago