All categories

2 years ago

Ms. Scarborough solved x^2+6x-7 by completing the square in the table below. Identify the missing steps.

Mathematics

1 answer:

dybincka [34]2 years ago

8 0

Answer 1: Move the -7 over to the right side of the problem.
Answer 2: $x^2 + 6x + 9 = 7+9$
Answer 3: $(x+3)^2 = 16$
Answer 4: Use the square root for both sides of the equation.
Answer 5: x = -3 ± 4 = 1, -7 --> x = 1, -7

You might be interested in

HelllllllP it’s due today :/

svetlana [45]

Answer:

Rectangle

Step-by-step explanation:

Note the definition of a rectangle. All angles must be 90°, and opposite sides are parallel and congruent.

It says that Andre "drew a quadrilateral with four right angles and two pairs of congruent sides.", making rectangle a candidate as an answer.

4 0

3 years ago

if £5000 Is placed into a bank account that pays 2% compound interest per year, how much will be in the account after two years

timurjin [86]

Answer:

£5200

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 2%/100 = 0.02 per year,

then, solving our equation

I = 5000 × 0.02 × 2 = 200

I = £ 200.00

The simple interest accumulated

on a principal of £ 5,000.00

at a rate of 2% per year

for 2 years is £ 200.00.

5 0

2 years ago

An artist has completed 1 4 of a painting in 2 weeks. At what rate is she working? Simplify your answer and write it as a proper

Alika [10]

Answer:

1/8 because 1/4 x 1/2 = 1/8

5 0

1 year ago

A man can drive a motorboat 70 miles down the Colorado River in the same amount of time that he can drive 40 miles upstream. Fin

pochemuha

The speed of the current is 40.34 mph approximately.

SOLUTION:

Given, a man can drive a motorboat 70 miles down the Colorado River in the same amount of time that he can drive 40 miles upstream.

We have to find the speed of the current if the speed of the boat is 11 mph in still water. Now, let the speed of river be a mph. Then, speed of boat in upstream will be a-11 mph and speed in downstream will be a+11 mph.

And, we know that, $\text{ distance } =\text{ speed }\times \text{ time }$

$\begin{array}{l}{\text { So, for upstream } \rightarrow 40=(a-11) \times \text { time taken } \rightarrow \text { time taken }=\frac{40}{a-11}} \\\\ {\text { And for downstream } \rightarrow 70=(a+11) \times \text { time taken } \rightarrow \text { time taken }=\frac{70}{a+11}}\end{array}$

We are given that, time taken for both are same. So $\frac{40}{a-11}=\frac{70}{a+11}$

$\begin{array}{l}{\rightarrow 40(a+11)=70(a-11)} \\\\ {\rightarrow 40 a+440=70 a-770} \\\\ {\rightarrow 70 a-40 a=770+440} \\\\ {\rightarrow 30 a=1210} \\\\ {\rightarrow a=40.33}\end{array}$

8 0

3 years ago

Madelyn has x nickels and y dimes, having a maximum of 15 coins worth no

aliina [53]

9514 1404 393

Answer:

2 nickels, 9 dimes

Step-by-step explanation:

When there are a number of overlapping shaded areas on the graph, I find it convenient to use the reverse of the inequalities. That makes the unshaded area the solution space. Here, the vertices of the triangular solution space are ...

(2, 9), (2, 13), (6, 9)

Any of the grid points within (or on) this triangle is a possible solution. One of them is (2, 9) corresponding to 2 nickels and 9 dimes.

Three solutions are shown:

(x, y) = (2, 9), (3, 10), (4, 11)

4 0

2 years ago