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algol13
3 years ago
9

Juanita begins to factor an expression as shown. x2+3x−18=(x+)(x−) What numbers should be placed in the boxes from left to right

? 3 and 6 2 and 9 6 and 3 9 and 2
Mathematics
2 answers:
stich3 [128]3 years ago
6 0

Answer:

Option A is the correct answer.

Step-by-step explanation:

Here we need to factorize  x²+3x−18

The coefficient of x is 3 and the constant is -18

Which means

           The sum of factors is 3

           The product of factors is -18

The factors satisfying are  6 and -3

Here the factors are given in the type (x+)(x−)

     So the value after plus is 6 and value after - is 3

Option A is the correct answer.            

bonufazy [111]3 years ago
6 0

Answer:

6 and 3

Step-by-step explanation:

Find two numbers that multiply to equal -18 and add to equal 3

Those two numbers are 6 and -3. From reading left to right in this question, the correct answer would be 6 and 3

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Put together, Dulcina and Tremaine have 129 total matchbooks. Tremaine's collection has 39 fewer matchbooks in it than Dulcina's
Anit [1.1K]

Answer:

Let the Dulcina's collection be 'x'

Let the Tremaine collection be 'x-39'

x + x - 39 =129

2x = 129 +39

2x = 168

x = 168/2

x = 84

Dulcina's collection = x = 84

Tremaine's collection = x - 39 = 84 - 39 = 45

7 0
3 years ago
You deposit $400in an account. The account earns $18 simple interest in 9 months. What is the annual interest rate?
Masteriza [31]

Answer:

.5

Step-by-step explanation:

if you put 400 in an account and for nine months with 0.5 interest rate you would get 418.41 so 0.5 is the answer

7 0
2 years ago
15 POINTS!!!!
olganol [36]

p/5 + 6 = 10

=> p/5 = 10-6

=> p/5 = 4

=> p = 5×4

=> p = 20

C. 20

4 0
3 years ago
Read 2 more answers
Ted jogged a total of 11.2 miles in 4 days. He jogged the same distance each day
marta [7]

Answer:

Part A: 2.8 miles

Part B: 16.8 miles

Step-by-step explanation:

First, solve for how many miles Ted jogged in 1 day:

Variable x = number of miles

11.2/4 = x/1

Cross multiply

11.2 × 1 = 4 × x

11.2 = 4x

Divide both sides by 4

2.8 = x

He jogged 2.8 miles every day.

To find how many miles Ted would jog in 6 days, simply multiply his miles per day by the number of days he will jog:

2.8 miles × 6 days = 16.8 miles in 6 days

3 0
3 years ago
Neeeeeeeeddddd helpppppp pleaseeeeee
never [62]
X = 21, angle AGE = 98˚, and angle GHD = 98˚

Notice from the graph that angles AGE and BGH are supplementary. This means that their sum is 180˚. Therefore, to find the value of x, we must solve the equation (5x – 7) + (3x + 19) = 180

To do this, we must isolate the variable on one side by undoing the equation. We do this by first combining like terms. In this case, the variable values, and the non–variable values.

***Before doing this, make it all addition by converting – (+7) into + (–7)

So our equation is 5x + 3x + –7 + 19 = 180.

5x + 3x = 8x and –7 + 19 = 12      Now we have 8x + 12 = 180

This is a simple equation. We undo the addition by subtracting 12 from both sides:    8x + 12 – 12 = 180 – 12      8x = 168

Then, we undo the multiplication by dividing 8 by both sides:    8x ÷ 8 = 168 ÷ 8    x = 21      We can check to, as (5 • 21 – 7) + (3 • 21 + 19) = 180

Now, we can easily figure out the measurements of your angles: angle AGE = 5 • 21 – 7 = 98    So the measure of angle AGE = 98˚

Upon observing the diagram more closely, you can see that angle AGE and GHD are congruent, meaning they have the same measurements. This means that if angle AGE = 98˚, then so does angle GHD.

So, x = 21, angle AGE = 98˚, and angle GHD = 98˚

8 0
3 years ago
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