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bezimeni [28]
3 years ago
13

Evaluate 8p +3q-188p+3q−188, p, plus, 3, q, minus, 18 when p=\dfrac12p= 2 1 ​ p, equals, start fraction, 1, divided by, 2, end f

raction and q=7q=7q, equals, 7.
Mathematics
1 answer:
LenKa [72]3 years ago
4 0

Given:

The expression is

8p+3q-18

To find:

The value of the expression when p=\dfrac{1}{2} and q=7.

Solution:

We have,

8p+3q-18

Putting p=\dfrac{1}{2} and q=7, we get

8(\dfrac{1}{2})+3(7)-18

=4+21-18

=7

Therefore, the value of the expression is 7 when p=\dfrac{1}{2} and q=7.

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Select all the expressions that show the distance between points A and B.
qwelly [4]

Answer:

0 -1-(-8)

0-1=-1

-1-(-8)

-1+8

=7

7 0
3 years ago
There is 1/4 ounce of yeast in every 2 1/4 teaspoon of yeast. A recipe calls for 2 teaspoons of yeast. How many ounces of yeast
MrRissso [65]
1/4 ounce of yeast ... 2 1/4 teaspoons of yeast
x ounce of yeast = ? ... 2 teaspoons of yeast

If you would like to know how many ounces of yeast need to be in the recipe, you can calculate this using the following steps:

1/4 * 2 = x * 2 1/4
1/2 = x * 9/4     /*4/9
x = 1/2 * 4/9
x = 2/9

Result: 2/9 ounce of yeast needs to be in this recipe.
7 0
3 years ago
In Exercises 10 and 11, points B and D are points of tangency. Find the value(s) of x.<br>​
Lemur [1.5K]

In both cases,

AB^2=AD^2

(as a consequence of the interesecting secant-tangent theorem)

So we have

10.

(4x+7)^2=(6x-3)^2

16x^2+56x+49=36x^2-36x+9

20x^2-92x-40=0

5x^2-23x-10=0

(5x+2)(x-5)=0\implies\boxed{x=5}

(omit the negative solution because that would make at least one of AB or AD have negative length)

11.

(4x^2-18x-10)^2=(x^2+x+4)^2

16x^4-144x^3+244x^2+360x+100=x^4+2x^3+9x^2+8x+16

15x^4-146x^3+235x^2+352x+84=0

(x-7)(3x+2)(5x^2-17x-6)=0\implies\boxed{x=-\dfrac23\text{ or }x=7}

(again, omit the solutions that would give a negative length for either AB or AD)

7 0
3 years ago
The value of x is approximately:
solong [7]

Answer:

19.80

Step-by-step explanation:

tan 22= 8/x

tan 22 = 8/x

x = 8/tan 22

x = 19.80

7 0
2 years ago
PLS HELP ME THIS IS DUE IN A FEW HOURS(i need a graph too pls)
emmainna [20.7K]

Answer:

Yes, the total cost of Lacey lesson is a split function of hours scheduled

Step-by-step explanation:

The amount Lacey pays for each hour of golf = $15

The amount Lacey pays for equipment rental = $10

The amount Lacy pays for equipment rental for a 3 hours long lesson = $5

Therefore, we have

Let C represent the total cost of Lacey lesson and let t represent the number of hours, we have;

C = $10 + t × $15 for 0 ≤ t ≤ 3

C = $5 + t × $15 for t > 3

Therefore, the total cost of Lacey lesson is a split function of hours scheduled

4 0
3 years ago
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