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a_sh-v [17]
3 years ago
7

Figure A is a scale image of figure B

Mathematics
1 answer:
serious [3.7K]3 years ago
5 0
X=36

Divide the corresponding side (16) by 4/7
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1. ) Consider the function f(x)=5−7x2,−5≤x≤1
Marat540 [252]
1.) The interval of the value of x is from -5 to 1, inclusive. Remember that what is asked is the absolute value, thus the sign does not matter even if you have to subtract x from 5. Thus, the maximum value would be obtained if the x is smaller, which is 1. The minimum value is obtained when x=-5.

Absolute maximum value: x = - 5
f(-5) = ║5 - 7(-5)^2║ = ║-170║=170


Absolute minimum value: x = 1
f(1) = ║5 - 7(1)^2║ = ║-2║= 2

2.) The Mean Value Theorem (MVT) applies to functions that are continuous and differentiable on the closed and open interval of a to b, respectively. Since the function is a quadratic function, MVT can be applied. Then, this means that there is a value of c which is between a and b. This could be determined using this formula according to MVT:

f'(c)= \frac{f(b)-f(a)}{b-a}

The differentiated form would be f'(x) = -2x. Then,

-2c =  \frac{(4- 0^{2} )-(4- (-1)^{2}) }{0--1}=1

c=- \frac{1}{2}

Thus, x = -1, x = -1/2, and x=0 all lie in the function 4-x^2.
3 0
3 years ago
Mia says that in the number 55,555,555, all the digits have the same value. Is she correct? Explain.
aliina [53]
No she is incorrect.
7 0
3 years ago
Read 2 more answers
Please help find mDF!!
Natalka [10]

9514 1404 393

Answer:

  72°

Step-by-step explanation:

The external angle E is half the difference of subtended arcs CG and DF.

  E = (CG -DF)/2

  2E = CG -DF . . . . . . multiply by 2

  DF = CG -2E = 160° -2(44°) . . . . . add DF-2E to both sides; substitute values

  arc DF = 72°

4 0
3 years ago
What is the third angle in a triangle with two angles of 60* and 45*
REY [17]

The answer is 75° because all three angles of a triangle must add to 180°

6 0
3 years ago
Please help me fast. Trying to figure this out. Answer a-C. You don’t need to explain
dlinn [17]

Answer:

The value of b would be $25 since it's the initial amt. The value of m would be $8. The equation would be y=8x+25

7 0
1 year ago
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