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2 years ago

What's the factor of 18 and the sum of -9?

Mathematics

2 answers:

Klio2033 [76]2 years ago

4 0

Factor:-6,-3
-6-3= -9

Leya [2.2K]2 years ago

3 0

Answer:

Do you really mean by -9 or cause I'm just confused but if you meant by 19 then this could help. I had my mom do whatever she could put as the answer so yeah

Step-by-step explanation:

a*b=18 ____[1]

a+b=19____[2]

[2] a=19-b ___[3]

put [3] in [1]

(19-b)*b = 18

19b-b^2 = 18

b^2-19b+18 = 0

(b-18)(b-1) = 0

so b=18 or b=1

if b=18 then a=19-18=1

if b=1 then a=19-1=18

SO two factors are 1 and 18

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Charlotte borrows $9000 to buy a second-hand car. The loan must be repaid

QveST [7]

Answer:

$13,400

Step-by-step explanation:

Simple Interest = principal × rate × time

principal= $9000

Rate= 12/100=0•12

Time=5years

Simple interest =PRT

= 9000× 0•12 × 5

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Total amount to be paid = 9000 + 5400

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3 years ago

What is the slope of (2,5) and (5,8)

murzikaleks [220]

Answer:

Slope = 1

Step-by-step explanation:

Slope = change in y/change in x

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3 years ago

An architect creates a scale model of a building with a scale of 3 inches =11 feet of the actual width of the building is 121 fe

Tomtit [17]

Answer:

The width of the scale model is 33 inches.

Step-by-step explanation:

This question is solved making a relation with the scale model.

In the scale, 3 inches are worth 11 real feet.

The actual width of the building is 121 feet, so we find it's scale by a rule of three.

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x inches - 121 feet

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Simplifying by 3, both sides

$x = 11*3 = 33$

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5 0

3 years ago

Expand 3(x+ 2.3) <br> Expand 1/3(9x-12)

Snezhnost [94]

Answer:

3x+6.9 and 3x-4

Step-by-step explanation:

since 3 x x is 3x and the sign in the bracket is addition you place it there then place 3 x 2.3

being 6.9.

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4 0

2 years ago

I dont understand how to do this precalc question

Alexeev081 [22]

Answer:

x-intercept: (-0.1, 0)
Horizontal Asymptote: y = -3
Exponential <u>growth</u>

(First answer option)

Step-by-step explanation:

<u>General form of an exponential function</u>

$y=ab^x+c$

where:

a is the initial value (y-intercept).
b is the base (growth/decay factor) in decimal form:
If b > 1 then it is an increasing function.
If 0 < b < 1 then it is a decreasing function.
y=c is the horizontal asymptote.
x is the independent variable.
y is the dependent variable.

Given <u>exponential function</u>:

$y=4(10)^x-3$

<h3><u>x-intercept</u></h3>

The x-intercept is the point at which the curve crosses the x-axis, so when y = 0. To find the x-intercept, substitute y = 0 into the given equation and solve for x:

$\begin{aligned}& \textsf{Set the function to zero}:& 4(10)^x-3 &=0\\\\& \textsf{Add 3 to both sides}:& 4(10)^x &=3\\\\& \textsf{Divide both sides by 4}:& 10^x &=\dfrac{3}{4}\\\\& \textsf{Take natural logs of both sides}:& \ln 10^x &=\ln\left(\dfrac{3}{4}\right)\\\\& \textsf{Apply the power log law}:&x \ln 10 &=\ln\left(\dfrac{3}{4}\right)\\\\& \textsf{Divide both sides by }\ln 10:&x&=\dfrac{\ln\left(\dfrac{3}{4}\right)}{\ln 10} \\\\& \textsf{Simplify}:&x&=-0.1\:\:\sf(1\:d.p.)\end{aligned}$

Therefore, the x-intercept is (-0.1, 0) to the nearest tenth.

<h3><u>Asymptote</u></h3>

An <u>asymptote</u> is a line that the curve gets infinitely close to, but never touches.

The <u>parent function</u> of an <u>exponential function</u> is:

$f(x)=b^x$

As<em> </em>x approaches -∞ the function f(x) approaches zero, and as x approaches ∞ the function f(x) approaches ∞.

Therefore, there is a horizontal asymptote at y = 0.

This means that a function in the form $f(x) = ab^x+c$ always has a horizontal asymptote at y = c.

Therefore, the horizontal asymptote of the given function is y = -3.

<h3><u>Exponential Growth and Decay</u></h3>

A graph representing exponential growth will have a curve that shows an <u>increase</u> in y as x increases.

A graph representing exponential decay will have a curve that shows a <u>decrease</u> in y as x increases.

The part of an exponential function that shows the growth/decay factor is the base (b).

If b > 1 then it is an increasing function.
If 0 < b < 1 then it is a decreasing function.

The base of the given function is 10 and so this confirms that the function is increasing since 10 > 1.

Learn more about exponential functions here:

brainly.com/question/27466089

brainly.com/question/27955470

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2 years ago