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NeX [460]
2 years ago
9

Fill in the table using this function rule y=27-4x

Mathematics
1 answer:
Elis [28]2 years ago
3 0

Step 1: Y= 27 - 4x

To find X - intercept / zero, substitute Y = 0

0 = 27 - 4x

Step 2: 0 = 27 - 4x

Move variable to the left-hand side and change it's sign.

4x = 27

Step 3: 4x = 27

divide both sides of the equation by 4

X = 27/4

solution: X = 27/4

Alternate form: X = 6 3/4, X = 6.75

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valentinak56 [21]

Answer:

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Step-by-step explanation:

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5 0
2 years ago
Francesca leaves her home and Drive South 150 km. Then she drives West 70 km. At this point, she drives North 30 km. Finally, sh
Sveta_85 [38]

To find the distance between her home and her latest position:

According to the question, the diagram is,

Consider the right triangle,

AB=120 km

BC=50 km

To find AC:

Using Pythagoras theorem,

\begin{gathered} AC^2=AB^2+BC^2_{} \\ =120^2+50^2 \\ =14400+2500 \\ =16900 \\ =130\text{ km} \end{gathered}

Hence, the distance between the new position and her home is 130 km.

8 0
11 months ago
A triangle has side lengths of 9 in, 13 in, and 20 in. What is the measurement of this triangle’s largest angle?
zvonat [6]
1. Given any triangle ABC with sides BC=a, AC=b and AB=c, the following are true :

      i) the larger the angle, the larger the side in front of it, and the other way around as well. (Sine Law) Let a=20 in, then the largest angle is angle A.

       ii) Given the measures of the sides of a triangle. Then the cosines of any of the angles can be found by the following formula:

       a^{2}=b ^{2}+c ^{2}-2bc(cosA)

2. 

20^{2}=9 ^{2}+13 ^{2}-2*9*13(cosA)

400=81+169-234(cosA)   150=-234(cosA)

cosA=150/-234= -0.641

3. m(A) = Arccos(-0.641)≈130°, 

4. Remark: We calculate Arccos with a scientific calculator or computer software unless it is one of the well known values, ex Arccos(0.5)=60°, Arccos(-0.5)=120° etc
4 0
3 years ago
Read 2 more answers
I need help, don’t get it
Mashutka [201]
B is correct. Substitute the week number for w in the function. Follow order of operations and you should get you N, the number of fruit flies for that week. For instance week 2:
N= 2(5)^2-1
N=2(5)^1
N=2(5)
N= 10
N= 10 corresponds to the table
7 0
2 years ago
Twenty different books are to be put on five book shelves, each of which holds at least twenty books.
lapo4ka [179]
Hello There!

The total number of different arrangements is 10,628.

Hope This Helps You!
Good Luck :) 

- Hannah ❤
8 0
3 years ago
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