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k0ka [10]
3 years ago
14

Gabriella’s average score after four tests was 88. What score must Gabriella average on the next two tests to have a six-test av

erage of 90?
Mathematics
1 answer:
Shtirlitz [24]3 years ago
8 0
81+86+89+96 equals an average of 88. If she wants an average of 90 she needs to score a 93 and 96 on the next two tests.
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Finding values or<br> k(x) = x - 2<br> h(x) = x2 +1<br> (h + k)(2) =
Serjik [45]

Answer:

<h2>(h + k)(2) = 5</h2>

Step-by-step explanation:

(h+k)(x)=h(x)+k(x)\\\\\bold{METHOD\ 1:}\\\\k(x)=x-2,\ h(x)=x^2+1\\\\(k+h)(2)=h(2)+k(2)\\\\\text{Calculate}\ h(2)\ \text{and}\ k(2).\\\text{Put}\ x=2\ \text{to the equations of the functions}\\\\h(2)=2^2+1=4+1=5\\k(2)=2-2=0\\\\\text\\\\\text{Substitute:}\\\\(h+k)(2)=5+0=5

\bold{METHOD\ 2:}\\\\k(x)=x-2,\ h(x)=x^2+1\\\\(h+k)(x)=h(x)+k(x)=(x^2+1)+(x-2)=x^2+x-1\\\\(h+k)(2)-\text{put}\ x=2\\\\(h+k)(2)=2^2+2-1=4+2-1=6-1=5

5 0
3 years ago
Write 3/100 as a decimal​
Vlada [557]

Answer:

0.03

Step-by-step explanation:

There are two 0s so it is 0.03

7 0
3 years ago
Solve for P<br><br> I am so confused
Jlenok [28]

Answer:

3q/2

Step-by-step explanation:

3p+3q=p

2p=-3q

p=-3q/2

4 0
3 years ago
Read 2 more answers
What is the perimeter of ΔABC?
Serggg [28]

Answer:

Choice D:  Perimeter = 5 + \sqrt{65} +  \sqrt{34}  units

Step-by-step explanation:

point B(9, 2)  , point C(4, 5),  point A (1,1)

Perimeter = D( A, C)  + D (A, B)  + D (B, C)

where D (A, C) =  distance between A and C

so...

D(A, C) = root ( (4 - 1)^2 + (5 - 1)^2) = 5   from a 3-4-5 right triangle.

D(A, B) = root( (9- 1)^2 + (2 -1)^2) = root( 64 + 1) = root(65)

D(B, C) = root( (9 -4)^2 + (2 -5)^2) = root (25 + 9) = root(34)

Perimeter = 5 + root(65) + root(34)

Perimeter = 5 + \sqrt{65} +  \sqrt{34}  units

6 0
3 years ago
Amelia is 5 feet tall and casts a 4-foot shadow. A tree next to her casts a 12-foot shadow. The two triangles formed are similar
matrenka [14]

Answer:

The height of the tree is  

18.67

feet

Step-by-step explanation:

Explanation:

The pole and the tree both cast shadows. The triangles which form are similar triangles, because the sun is shining from the same angle in the sky.

You can write this as a direct proportion. (height : shadow)

2 is to 1.5 as what is to 14?

2

1.5

=

x

14

     

←

cross multiply

x

=

2

×

14

1.5

x

=

18.67

feet

7 0
2 years ago
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