What is the minimum value for g(x) = x^2 – 10x + 16?

would it be 2?

Answers

Answer 1

Answer: vertex aka mn or max value when you have
f(x)=ax^2+bx+c
vertex=-b/2a

a=1
b=-10
-b/2a
-(-10)/2(1)=10/2 =5

min value is 5
sub 5 for x
5^2-10*5+16
25-50+16
-9
min point is (5,-9)

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Jayden’s new puppy weighed 11 and one fourth pounds at 4 weeks old. At four weeks, the puppy weighed three fifths times as much as at 16 weeks. Which equation can be used to find how much Jayden’s puppy weighs at 16 weeks old

Answers

Step-by-step explanation:

Weight of the puppy at 4 weeks old:

$\large{11 (1)/(4) }$ pounds = $\large{ (45)/(4) }$ pounds

This weight is 3/5th times of the weight of puppy in 16 weeks. Let's assume the weight of puppy in 16 weeks be x. Then, 3/5th of x is 45/4 pounds.

Inequationform,

$\boxed{ \large{(3)/(5) x = (45)/(4) }}$

Multiplying 5/3 both sides to isolate x on LHS,

$\large{x = (45)/(4) * (5)/(3) }$

$\large{x = (75)/(4) = 18.75}$ pounds

The equation used for finding the weight of puppy is 3x/5 = 45/4. And Jayden's puppy weighed 18.75 pounds in 16 weeks.

The formula F = ma shows the relationship between force, mass, and acceleration. Solve this formula for a.

Answers

Answer:

Solution is $a=(F)/(m)$

Step-by-step explanation:

We have Force, F = Mass x Acceleration.

That is F = m x a

Dividing both sides by $(1)/(m)$

We will get

$(1)/(m)* F=(1)/(m)* m* a\n\n(F)/(m)=(m* a)/(m)\n\n(F)/(m)=(m)/(m)* a\n\na=(F)/(m)$

Solution is $a=(F)/(m)$

The formula you would use to find acceleration would be A= f/m

Solve for
a. 7a-2b = 5a b

Answers

For this case we have the following expression:

From here, we must clear the value of a.

We then have the following steps:

Place the terms that depend on a on the same side of the equation:

Do common factor "a":

Clear the value of "a" by dividing the factor within the parenthesis:

Answer:

The clear expression for "a" is given by:

Answer: The required value of a is $(2b)/(7-5b).$

Step-by-step explanation: We are given to solve the following equation for the value of a:

$7a-2b=5ab~~~~~~~~~~~~~~~~~~~~~(i)$

Since there are two unknowns and only one equation , so the value of a will definitely contain the value of b.

The solution of equation (i) for a is as follows:

$7a-2b=5ab\n\n\Rightarrow 7a-5ab=2b\n\n\Rightarrow a(7-5b)=2b\n\n\Rightarrow a=(2b)/(7-5b).$

Thus, the required value of a is $(2b)/(7-5b).$

what is the degree measure of the acute angle formed by the hands of a 12-hour clock that reads exactly 1 o'clock?

Answers

$360^o:12=30^o\leftarrow answer$

Answer:

30 degrees

Step-by-step explanation:

which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Check all that apply. y = –x + 1 3x − 4y = −4 4x − 3y = −3 y – 2 = –(x – 4) y + 2 = (x + 4)