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3 years ago

15

1. 16y + 0 = 16y

1 answer:

Norma-Jean [14]3 years ago

7 0

1) Identity Property of addition
2) Commutative Property of Multiplication
3) Zero property of multiplication
4) Commutative property of addition
Hope this helps!

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If f(x) is an exponential function where f(-1.5) 26 and

mariarad [96]

Answer:

$f(10) = 1147.25$

Step-by-step explanation:

Given

$f(-1.5) = 26$

$f(5.5) = 7$

Required

f(10)

An exponential function is represented as:

$f(x) = ab^x$

$f(-1.5) = 26$ impleies that:

$26 = ab^{-1.5}$ --- (1)

$f(5.5) = 7$ implies that

$7 = ab^{5.5}$ --- (2)

Divide (2) by (1)

$26/7 = ab^{-1.5}/ab^{5.5}$

$3.71429 = b^{-1.5+5.5}$

$3.71429 = b^{4}$

Take 4th root

$b = 1.39$

Substitute $b = 1.39$ in $26 = ab^{-1.5}$

$26 = a * 1.39^{-1.5}$

$26 = a * 0.6102$

Solve for (a)

$a = 26/0.6102$

$a = 42.61$

f(10) is calculated as:

$f(10) = ab^{10}$

$f(10) = 42.61 * 1.39^{10}$

$f(10) = 1147.25$

3 0

2 years ago

Help with 21 would be much appreciated.

umka2103 [35]

Answer:

$\large\boxed{x=2\sqrt{21}\ and\ y=4\sqrt3}$

Step-by-step explanation:

Look at the picture.

ΔADC and ΔCDB are similar. Therefore the sides are in proportion:

$\dfrac{AD}{CD}=\dfrac{CD}{DB}$

We have

$AD=14-8=6\\CD=y\\DB=8$

Substitute:

$\dfrac{6}{y}=\dfrac{y}{8}$ <em>cross multiply</em>

$y^2=(6)(8)$

$y^2=48\to y=\sqrt{48}\\\\y=\sqrt{16\cdot3}\\\\y=\sqrt{16}\ cdot\sqrt3\\\\\boxed{y=4\sqrt3}$

For x use the Pythagorean theorem:

$x^2=6^2+(4\sqrt3)^2\\\\x^2=36+48\\\\x^2=84\to x=\sqrt{84}\\\\x=\sqrt{4\cdot21}\\\\x=\sqrt4\cdot\sqrt{21}\\\\\boxed{x=2\sqrt{21}}$

3 0

2 years ago

If f is a signum function then f(100) =

Genrish500 [490]

Answer:

787

Step-by-step explanation:

i took the test

4 0

2 years ago

If a-b/b = 3/7 What is b/a

Basile [38]

Answer:

7/10

Step-by-step explanation:

Solve for a by simplifying both sides of the equation, then isolating the variable.

Glad I could help!

6 0

2 years ago

ILL MARK BRAINILEST !! 80 POINTS

mixas84 [53]

$\\ \rm\rightarrowtail y=x^2-10x+16$

$\\ \rm\rightarrowtail y=x^2-10x+16+9-9$

$\\ \rm\rightarrowtail y=x^2-10x+25-9$

$\\ \rm\rightarrowtail y=(x-5)^2-9$

Vertex form

y=a(x-h)^2+k

So

vertex:-

(h,k)=(5,-9)

6 0

1 year ago