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Gnesinka [82]
3 years ago
13

Verify that the Intermediate Value Theorem applies to the indicated interval and find the value of c guaranteed by the theorem.

Mathematics
1 answer:
WITCHER [35]3 years ago
7 0

Answer:

use the new math thingy majig in the new brainly

Step-by-step explanation:

update it to use it:)

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it takes Jupiter 11.9 years to orbit,or go around the sun. Saturn takes 17.6 more years than Jupiter to orbit the sun. About how
pochemuha

Saturn takes 17.6 more years than Jupiter, so 17.6 + 11.9 will get you how long Saturn will take to orbit the sun, which would give you 29.5 years.

8 0
3 years ago
Look at the photo plz !!
sergejj [24]

Answer:

11 0ver 54

Step-by-step explanation:

4 0
3 years ago
A loan of $47,000 is made at 4.5% interest, compounded annually. After how many years will the amount due reach $63,000 or more?
Alex Ar [27]
A=P(1+r)^t is comounded yearly  formula

rat ie 4.5%
P=47000
solve for when A=63000



63000=47000(1+0.045)^t
divide both sides by 47000
\frac{63}{47} =(1.045)^t
take the ln of both sides
ln(\frac{63}{47}) =ln((1.045)^t)
ln(\frac{63}{47}) =t(ln(1.045)
divide both sides by ln(1.045)
\frac{ln(\frac{63}{47})}{ln(1.045)}=t
using calculator
6.656=t
so after about 6.7 years
5 0
3 years ago
Draw a triangle with vertices A(0, 4), B(2, -2), and C(-2, -2). Apply a dilation centered at the origin with scale factor to 1/2
Darya [45]
"A dilation centered at the origin with scale factor to 1/2 from the origin" means that we must join O to all the vertices of the triangle, and make the distances 1/2 of the original triangle. This is shown clearly in the picture.

The coordinates of the new triangle are A'(0,4), B'(1,-1), C'(-1,-1).

<span>
The relationship between corresponding sides in terms of their lengths:
The sides of the dilated triangle are half the length of the first triangle.

</span><span>The relationship between corresponding sides in terms of their orientations.
The two triangles have the same orientation.

</span><span>The relationship between corresponding angles in terms of their measures.
The two triangles have congruent corresponding angles.</span>

7 0
3 years ago
Read 2 more answers
How to find left and right inverse of a 3x2 matrix.
Mnenie [13.5K]

Let A be a 3×2 matrix, L its left inverse, and R its right inverse. L and R are then matrices such that LA = I₂ (the 2×2 identity matrix) and AR = I₃ (the 3×3 identity matrix). Clearly L must be 2×3 and R must be 3×2 in order for the matrix products to be defined.

To find L and R, we start by introducing a square matrix on the the left sides of either equation above. In particular, we uniformly multiply both sides by the transpose of A, then solve for the inverse.

For the left inverse, we have

LA=I

(LA)A^\top = IA^\top

L\left(AA^\top\right) = A^\top

\left(L\left(AA^\top\right)\right)\left(AA^\top\right)^{-1} = A^\top \left(AA^\top\right)^{-1}

L\left(\left(AA^\top\right)\left(AA^\top\right)^{-1}\right) = A^\top \left(AA^\top\right)^{-1}

LI = A^\top \left(AA^\top\right)^{-1}

L = A^\top \left(AA^\top\right)^{-1}

We do the same thing for the right inverse, but take care with how we multiply both sides of AR = I₃.

AR=I

A^\top(AR)=A^\top I

\left(A^\top A\right)R = A^\top

\left(A^\top A\right)^{-1} \left(\left(A^\top A\right)R\right) = \left(A^\top A\right)^{-1} A^\top

\left(\left(A^\top A\right)^{-1} \left(A^\top A\right)\right) R = \left(A^\top A\right)^{-1} A^\top

IR = \left(A^\top A\right)^{-1} A^\top

R = \left(A^\top A\right)^{-1} A^\top

4 0
3 years ago
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