solve the system using substitution x=-4y y=2x+9

Answer:

$14.20

Step-by-step explanation:

$42.60 ÷ 3

$14.20

Answer:

choice 1) 0, -4/5

Step-by-step explanation:

1/(t² + t) = 1/t - 5

multiply both sides of the equation by (t² + t):

1 = (t² + t)/t - 5t² - 5t

1 = t + 1 - 5t² -5t

-5t² - 4t = 0

t(-5t - 4) = 0

t = 0

-5t = 4

divide both sides by -5:

t = -4/5

Answer: you forgot attachment

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

slope intercept is y=mx+b

The y-intercept is at 2 so b=2.

The slope is rise/run, equaling -3

so y= -3x+2

Answer:

The slope would be x/y so really the b value could be anything if you leave the slope the same. Hope this helps!

Step-by-step explanation:

x - 7y = 7

-7y = -x + 7

7y = x - 7

y = x/7 - 1

46 minutes is the elapsed time :)

Answer:

46 minutes

Step-by-step explanation:

In order to find the time elapsed, you must subtract 10:51 and 10:05 which equals 46 minutes.

Answer:

x = 9

Step-by-step explanation:

The line splits the sides of the triangle in proportion (the ratios of the pieces is the same for both sides).

Setup:

[tex]\frac{8}{3x+1}=\frac{2}{x-2}[/tex]

"Cross multiply."

[tex]2(3x+1)=8(x-2)\\6x+2=8x-16\\18=2x\\9=x[/tex]

Answer:

Step-by-step explanation:

2 should be 50 degrees as well. 1 should be 130 (to get the needed 180) 3 should be 130 degrees.  Hopefully this is correct

Answer:

f(x) = (x + 1)*(4*x² - 3*x + 4) - 12

Step-by-step explanation:

We have:

f(x) = 4*x³ + x² + x - 8

We want to write this in:

f(x) = (x - k)*q(x) + r.

with k = -1

Then we want to write:

4*x³ + x² + x - 8 = (x - (-1))*q(x) + r

4*x³ + x² + x - 8 = (x + 1)*q(x) + r

Because f(x) is polynomial of degree 3, we know that q(x) must be a polynomial of degree 2.

then:

q(x) = a*x² + b*x + c

Then:

4*x³ + x² + x - 8 = (x + 1)*(a*x² + b*x + c) + r

4*x³ + x² + x - 8 = a*x³ + b*x² + c*x   + a*x² + b*x + c + r

if we take common factors in the right side we get:

4*x³ + x² + x - 8 = a*x³ + (b + a)*x² + (c + b)*x + (c + r)

Now, we must have:

4*x³ = a*x³

then:

4 = a

We also must have:

x² = (b + a)*x²

1 = (b + 4)

1 - 4 = b

-3 = b

We also must have:

x = (c + b)*x

1 = (c + (-3))

1 + 3 = c

4 = c

And finally:

- 8 =  (c + r)

-8 = 4 + r

-8 - 4 = r

-12 = r

Then:

f(x) = (x + 1)*(4*x² - 3*x + 4) - 12

Answer:

The spread of the data for The Red Brick Grill is greater than that for Sophie's Cafe.

Step-by-step explanation:

In the picture

Answer:

[tex]64(in)^{3} [/tex]

Step-by-step explanation:

The volume of a box is equal to the length l times the width w times the height h.

[tex](lenght) \times (width) \times (height)[/tex]

Substitute the values of the length l=8, the width w=2, and the height h=4 into the formula.

[tex]8 \times 2 \times 4[/tex]

Multiply 8 by 2.

[tex]16 \times 4[/tex]

Multiply 16 by 4.

[tex]64 {in}^{3} [/tex]

Hence, the volume of the rectangle prism is 64(in)³.

Answer:

Step-by-step explanation:

Given dimensions:

Volume of the prism is:

Answer:

Points in Euclidean geometry

In two-dimensional Euclidean space, a point is represented by an ordered pair (x, y) of numbers, where the first number conventionally represents the horizontal and is often denoted by x, and the second number conventionally represents the vertical and is often denoted by y.

Step-by-step explanation:

Answer:

answers are 1 and 9

Step-by-step explanation:

x² - 10x = -9

x² - 10x + 9 = 0

(x - 9)(x - 1) = 0

x = 9, x = 1

Answer:

Replace key words with variables, numbers, and operations. “A number squared” is a power where the base is the variable and the exponent is 2. “Decreased by ten” means you must subtract 10 from the squared number.

Step-by-step explanation:

hope this helps

Answer:

A

Step-by-step explanation:

Given

P(t) = 60 [tex](3)^{\frac{t}{2} }[/tex]

Then

P(1) = 60 × [tex]3^{\frac{1}{2} }[/tex] = 60[tex]\sqrt{3}[/tex]

P(2) = 60 × 3 = 180

P(3) = 60 × [tex]3^{\frac{3}{2} }[/tex] = 60 ×[tex]\sqrt{3^{3} }[/tex] = 60 × 3[tex]\sqrt{3}[/tex] = 180[tex]\sqrt{3}[/tex]

P(4) = 60 × 3² = 60 × 9 = 540

P(5) = 60 × [tex]3^{\frac{5}{2} }[/tex] = 60 × [tex]\sqrt{3^{5} }[/tex] = 60 × 9[tex]\sqrt{3}[/tex] = 540[tex]\sqrt{3}[/tex]

P(6) = 60 × 3³ = 60 × 27 = 1620

From these 6 results we see that

P(3) = 3 × P(1)

P(4) = 3 × P(2)

P(5) = 3 × P(3)

P(6) = 3 × P(4)

The predicted number of organisms triples every 2 days → A

Answer:

It's a parallelogram because it has two parallel side (a,d)+(b,c) or (a,b)+(d,c). The shape is connected by the line "a,d"

Step-by-step explanation:

Answer:

a. Above 337.8 grams.

b. Between 318.25 grams and 331.75 grams.

c. Above 316.59 grams.

d. Below 312.2 grams

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 325 grams and a standard deviation of 10 grams.

This means that [tex]\mu = 325, \sigma = 10[/tex]

a. Highest 10 percent

This is X when Z has a pvalue of 1 - 0.1 = 0.9, so X when Z = 1.28.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.28 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = 10*1.28[/tex]

[tex]X = 337.8[/tex]

So 337.8 grams.

b. Middle 50 percent

Between the 50 - (50/2) = 25th percentile and the 50 + (50/2) = 75th percentile.

25th percentile:

X when Z has a pvalue of 0.25, so X when Z = -0.675.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.675 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = -0.675*10[/tex]

[tex]X = 318.25[/tex]

75th percentile:

X when Z has a pvalue of 0.75, so X when Z = 0.675.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.675 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = 0.675*10[/tex]

[tex]X = 331.75[/tex]

Between 318.25 grams and 331.75 grams.

c. Highest 80 percent

Above the 100 - 80 = 20th percentile, which is X when Z has a pvalue of 0.2. So X when Z = -0.841.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.841 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = -0.841*10[/tex]

[tex]X = 316.59[/tex]

Above 316.59 grams.

d. Lowest 10 percent

Below the 10th percentile, which is X when Z has a pvalue of 0.1, so X when Z = -1.28.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.28 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = -1.28*10[/tex]

[tex]X = 312.2[/tex]

Below 312.2 grams

Answer:

12.94

Step-by-step explanation:

5.75x125%=7.19

7.19+5.75=12.94

Answer:

x = 5 ± √17

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

(x - 5)² = 17

Step 2: Solve for x

Answer:

30

Step-by-step explanation:

I think that's the answer but if I'm wrong tell me right away I'll try another method.

Answer:

3

Step-by-step explanation:

Given that,

[tex]f(x) =-x^3-8x^2-15x+3[/tex]

We need to find the value of  f(x) when k = -5

Put x = -5 in th  given function.

So,

[tex]f(-5) =-(-5)^3-8(-5)^2-15(-5)+3\\\\=3[/tex]

Hence, the value of the given function is equal to 3.

Answer:

1

Step-by-step explanation:

Answer:

?

Step-by-step explanation:

Answer:

It is a decreasing function for 0 < b < 1.

Step-by-step explanation:

Logarithm function:

The logarithm function is given by:

[tex]F(x) = \log_{b}{(x)}[/tex]

The base b determines if the function increases or decreases.

For 0 < b < 1, the function decreases.

For b > 1, the function increases.

In this question:

By the definition above, it is a decreasing function for 0 < b < 1.

Answer:

A- [tex]5.12*10^{-4}[/tex]

Step-by-step explanation:

1.6* 3.2

add the exponents so 10 to the -4

9514 1404 393

Answer:

  968

Step-by-step explanation:

The area of the top and sides is given by the formula ...

  A = LW +2H(L +W)

  A = (20 cm)(18 cm) +2(8 cm)(20 cm +18 cm)

  A = (360 +16(38)) cm² = 968 cm²

Since the tiles are 1 cm², 968 tiles are needed.

Answer:

Dude post it again lol

Step-by-step explanation:

The picture is so blurry