How does the graph of y=ax^2+c compare to a graph off y=ax^2?

Answers

Answer 1

Answer: shifting a graph up by c units involves adding c to the whole function

therefor
y=ax^2+c is c units higher than y=ax^2 (aka, it is shifted c units up)

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Which of the following demonstrates the commutative property across multiplication for 2× 10 × 7A. 10 ×7 × 2
B. 2 × (10 × 7)
C. (2 × 10) × 7
D. 2 + 10 × 7

Answers

Its A. Kelp dont you dare.

Hey there, commutative property is when you mix up the numbers but you will still the same answer. 2*10*7=140. 10*7*2=140. Therefore, the answer would be A. 10*7*2

What is the slope of the line that contains the points (5, 5) and (8, 3)?
a. b.
c. d.

Answers

slope=rise/run
changy/changx
slope=(y2-y1)/(x2-x1)

(5,5) and (8,3)
slope=(3-5)/(8-5)=-2/3

slope=-2/3

How do I differentiate (200000ln(t-0.1))/(39.95t^2)

Answers

$f(x)=(200000\ln(t-0.1))/(39.95t^2)=(4000000)/(799)\cdot(\ln(t-0.1))/(t^2)\nf'(x)=(4000000)/(799)\cdot((1)/(t-0.1)\cdot t^2-\ln(t-0.1)\cdot2t)/(t^4)\nf'(x)=(4000000)/(799)\cdot((t)/(t-0.1)-2\ln(t-0.1))/(t^3)\nf'(x)=(4000000\left((t)/(t-0.1)-2\ln(t-0.1)\right))/(799t^3)$

Answer:

$\frac { dy }{ dt } =\frac { 8\cdot { 10 }^( 6 ) }{ 799{ t }^( 2 ) } \left\{ \frac { 5 }{ 10t-1 } -\frac { \ln { \left( t-\frac { 1 }{ 10 } \right) } }{ t } \right\}$

Workings below. Don't know if it could've have been simplified further.

I've made a "smooth criminal" version, just in case you like things compressed.

$\frac { dy }{ dt } =\frac { n }{ { t }^( 2 ) } \left\{ \frac { 1 }{ t-k } -\frac { \ln { \left( { \left( t-k \right) }^( 2 ) \right) } }{ t } \right\} \n \n n=\frac { 4\cdot { 10 }^( 6 ) }{ 799 } ,\quad k=\frac { 1 }{ 10 }$

Tri City sells four times as many dishwashers as Solly Company. The difference between their sales is 96 dishwashers. How many dishwashers did each sell?

Answers

First of all, we have to set variables to represent the given in the problem. We have to set variables for the sales of Tri City and the sales of Solly Company. Hence,

let T be the sales of the Tri City Company and
let S be the sales of the Solly Company

Secondly, we are going to translate into mathematical terms the relationship between the two variables. Hence,

T=4S (1)
T-S=96 (2)

We have two linear equations and two unknowns so this problem is answerable. We substitute equation (1) into equation (2) to give us

4S-S=96
3S=96
S=32

Solving for T gives us

T-32=96
T=96+32
T=128

So, Tri City sold 128 dishwashers while Solly Company sold 32.

How might this number be shown on a calculator?
4.117x10-29

Answers

The way that the number 4117 × 10⁻²⁹ can be shown on a calculator is; 4117 × 10⁻³²

How to write a number in standard form?

The standard form of a number is a way of writing the number in a form that follows certain rules.

Now, we can also write a number in scientific notation but then a calculator usually writes these types of number with exponent powers in standard form.

For example there is usually no decimal in standard form but instead whole numbers. Thus;

4.117 × 10⁻²⁹ when expressed again can be written as;

4117 × 10⁻²⁹ × 10⁻³ = 4117 × 10⁻³²

Read more about standard form at; brainly.com/question/19169731

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Solve 2x^2+15x-8=0 and 2x^2+8x-24=0 for x

Answers

Answer:

X=.5

Step-by-step explanation:

put 2x^2+15x-8 into y1 of your calculator and 0 in y2 then second, trace, 5, enter, enter, enter. Then you have your answer

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Use the equation and type the ordered-pairs.y = 2 x{(-1, a0), (0, a1), (1, a2), (2, a3), (3, a4), (4, a5)}thanks in advance :)

H(x)=(x^2)+1 and K(x)=-(x^2)+4. If K(H)=0, what are the roots/solutions?a. ±i√3 b. ±i c. ±2 d. ±1 e. ±1, ±i√3

I need help plsssd it’s algebra

4(x + 4) = 4x + 16One Solution No solutions or infinite number of solutions