Find the 25th term of an arithmetic sequence whose first term is 12 and whose common difference is ‒6.

Which quadratic function has a wider graph than y=2x^2?

ioda

so all those quadratics have their parent y = x², which has the graph of a "bowl".

and depending on the coefficient, the bowl is wider or not.

the larger the coefficient, the narrower the bowl, the smaller the coefficient, the wider the bowl.

well, 1/2 is smaller then 2, thus y = (1/2)x² is wider than y = 2x².

7 0

2 years ago

100 POINTS AND BRAINLIEST

zysi [14]

Answer:

8 square units and $\frac{40}{3}$ square units

Step-by-step explanation:

The area of the triangle ABC is 24 square units.

1. Triangles ABC and FBG are similar with scale factor $\frac{1}{3},$ then

$\dfrac{A_{\triangle FBG}}{A_{\triangle ABC}}=\dfrac{1}{9}\Rightarrow A_{\triangle FBG}=\dfrac{1}{9}\cdot 24=\dfrac{8}{3}\ un^2.$

2. Triangles ABC and DBE are similar with scale factor $\frac{2}{3},$ then

$\dfrac{A_{\triangle DBE}}{A_{\triangle ABC}}=\dfrac{4}{9}\Rightarrow A_{\triangle DBE}=\dfrac{4}{9}\cdot 24=\dfrac{32}{3}\ un^2.$

3. Thus, the area of the quadrilateral DFGE is

$A_{DFGE}=A_{\triangle DBE}-A_{\triangle FBG}=\dfrac{32}{3}-\dfrac{8}{3}=8\ un^2.$

and the area of the quadrilateral ADEC is

$A_{ADEC}=A_{\triangle ABC}-A_{\triangle DBE}=24-\dfrac{32}{3}=\dfrac{40}{3}\ un^2.$

4 0

2 years ago

Read 2 more answers

5. A quarter is tossed in the air 300 times.

tankabanditka [31]

Answer:

C

Step-by-step explanation:

The probability of getting heads or tails is 50%.

300*50% = 150

3 0

2 years ago

Read 2 more answers

Functions A and B give the population of City A and B respectively, t years since 1990. In each function, population is measured

Nataly_w [17]

Answer:

$B(4) > A(4)$

$t = 6$

Step-by-step explanation:

Given

$City\ A \to Purple$

$City\ B \to Blue$

See attachment for both functions

Solving (a): Which is greater in A(4) and B(4).

From the readings of the graph

$A(4)= 1.8$

$B(4) = 2.6$

By comparison:

$B(4) > A(4)$ because $2.6 > 1.8$

Solving (b): When is A(t) = B(t)

From the readings of the graph

$A(t) = B(t)$ when $t = 6$

i.e.

$A(t) = B(t) = 3\ million$

4 0

3 years ago

For three consecutive numbers, the sum of the first number, twice the second and 7 less than the third is 133. What are the thre

babunello [35]

Answer:

34, 35, 36

Step-by-step explanation:

1st number = x

2nd number = x+1

3rd number = x+2

So the equation would be:

x+2(x+1)+(x+2)-7=133

x+2x+2+x+2-7=133

4x-3=133

4x=136

x=34

8 0

3 years ago