Solve using the quadratic equation
-4x + 7x + 5 = 0​

Answer:

similar = only the angles are the same

congruent = angles and sides are the same

Step-by-step explanation:

2x+3y=13..........(I)

2x-3y=5.….........(II)

Subtract equation II from equation I

0+6y=8

6y=8

y=8/6=4/3

Substitute 4/3 for y in 2x-3y=5

2x-3×(4/3)=5

2x-4=5

Collect like terms

2x=4+5

2x=9

x=9/2

Therefore,y=4/3,x=9/2

Answer:

look at the photo

...................................

Answer:

1). 15 + 2g - g²

2). y(y² + 4y + 3)

3). x² - 9

4). w² + 8w + 13

5). 2y²+5y-14

Step-by-step explanation:

1) (3 + g)(5 - g)

= 5(3 + g) - g(3 + g)

= 15 + 5g - 3g - g²

= 15 + 2g - g²

2) (y² + y)(y + 3)

= y(y² + y) + 3(y² + y)

= y³ + y² + 3y² + 3y

= y(y² + 4y + 3)

3) (x - 3)(x + 3)

= x(x - 3) + 3(x - 3)

= x² - 3x + 3x - 9

= x² - 9

4) (w+3)(w+4)+(w+2)(w+7)

= w(w+3)+4(w+3) + w(w+7)+2(w+7)

= w² + 3w + 4w + 12 + w² + 7w + 2w + 14

= 2w² + 16w + 26

= w² + 8w + 13

5) (3y-5)(y+4)-(y-3)(y-5)

= 3y(y+4)-5(y+4) - y(y-3)-5(y-3)

= 3y²+12y-5y-29-y²+3y-5y+15

= 2y²+5y-14

Answer:

-15

Step-by-step explanation:

Since each vial contains one gram. and he has 33 grams, so he has 33 vials of one gram each. since he has a box that has 48 vials. he needs 15 less vials to divide the salt into vials that contain one gram each

Please mark as brainliest

Answer:

(a) 2

Step-by-step explanation:

We can assume this is a 3-4-5 triangle from the two given sides, 5 and 3(2--1) so then we know the y difference of the y coordinate should be + or - 4 from -2 giving us two solutions of 2 and -6 since this is a multiple choice and a is 2 he answer is 2

Answer:

b

Step-by-step explanation:

Answer:

136

Step-by-step explanation:

triangles CAB and CED are similar, their sides are proportional

set up a proportion:

\(\frac{51}{144-x}\) = \(\frac{3}{x}\)

cross-multiply:  51x = 3(144 - x)

                         51x = 432 - 3x

                         54x = 432

                          x = 8

Plug in:

144 - 8 = 136

Answer:

y=3 and x=0

Step-by-step explanation:

3x−3y=−9. i'm going to solve for x.

3x−3y+3y=−9+3y

3x=3y−9

3x/3=(3y-9)/3  to isolate x we have to divide everything by 3

x=y−3

so now that we have x we can substitute it in 4x+4y=12

4(y-3)+4y=12

4y-12+4y=12

8y-12=12

8y-12+12=12+12

8y=24

8y/8=24/8

y=3

we have y which equals 3, so now we can substitute it into any equation so solve for x again.

3x – 3y = -9

3x-3(3)=-9

3x-9=-9

3x-9+9=-9+9

3x=0

3x/3=0/3

x=0

so, final answers are y=3 and x=0

checking our work:

3(0)-3(3)=-9

0-9=-9

-9=-9 true

4(0)+4(3)=12

0+12=12

12=12 true

Answer:

1.033

Step-by-step explanation:

95

92     does not actually represent a quotient.  Write the quotient as

 95

------- = 1.033

 92

Responda:

181 pessoas / km²

Explicação passo a passo:

Dado que:

Densidade populacional = razão entre o número de habitantes e a área

Número de habitantes em São Paulo = 45 milhões

Área do estado de São Paulo = 248210 km²

Portanto, a densidade populacional de São Paulo:

Número de habitantes / área

45.000.000 pessoas / 2.48210 km²

181,29809 pessoas / km²

= 181 pessoas / km² (aproximadamente

Answer:

3.75 or \(3\frac{3}{4}\)

Step-by-step explanation:

The length is 2.5

The width is 1

The depth is 1.5

2.5 x 1 x 1.5 = 3.75

As a mixed fraction = \(3\frac{3}{4}\)

Answer:

3 3/4

Step-by-step explanation:

iready Diagnostic

The data plan that has the cheapest deal is given by the ratio of the data

plan price to the GB allocated.

The given phone data plans are;

\(\begin{tabular}{|l|cl|}&Prepaid Single Phone Plan&Prepaid Family Plan\\ a&\$30 for 1 GB &\$30 for 1 GB\\b& \$35 for 6 GB & \$40 for 6 GB\\ c&\$45 for 16 GB&\$50 for 16 GB\\d & \$65 for Unlimited Data & \$70 for Unlimited Data\end{array}\right]\)

The price per GB are;

Plan a = $30 ÷ 1 = $30 per GB

Plan b = $35 ÷ 6 = $5.8\(\overline 3\) per GB and $40÷ 6 = $6.\(\overline 6\) per GB for Family Plan

Plan c = 45 ÷ 16 = $2.8125 per GB and $3.125 per GB

Plan d = $65 for Unlimited Data = 65 ÷ ∞ ≈ 0;  $70 for Unlimited Data = 0

Therefore, the plan with the cheapest price per GB from the given option is option B. Prepaid Single Phone Plan $45 for 16 GB.

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Answer:

The end equation you get is p = 6x - 8

Step-by-step explanation:

p = 2l + 2w

p = 2(x + 5) + 2(2x - 9)

p = 2x + 10 + 4x - 18

p = 6x - 8

An expression to represent the perimeter of the rectangle in simplest form is 2(3x-4) meters.

Given that, a rectangle has a length of x + 5 and a width of 2x-9.

The perimeter of a two-dimensional shape is the total length of the outline. To find the perimeter of a rectangle, we add the lengths of all four sides.

The formula for the perimeter of a rectangle is, P = 2L + 2W,

Now, substitute L=x+5 and W=2x-9 in perimeter formula and simplify,

P=2(x+5)+2(2x-9)

=2x+10+4x-18

=6x-8

=2(3x-4)

Therefore, an expression to represent the perimeter of the rectangle in simplest form is 2(3x-4) meters.

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To get the maximum profit, Kate should display as many cards from company B as possible, since she makes a higher profit from those cards.

Let x be the number of cards from company A and y be the number of cards from company B.

The constraints are:

The objective function is:

  P = 0.30x + 0.32y (the profit from selling the cards)

To maximize the profit, we need to maximize the value of y. Since the display rack can hold up to 90 cards, we can set y = 90 - x.

Substituting this into the objective function:

  P = 0.30x + 0.32(90 - x)
P = 0.30x + 28.8 - 0.32x
P = -0.02x + 28.8

To maximize P, we need to minimize x. Since x must be at least 40, we can set x = 40.

Substituting this back into the objective function:
P = -0.02(40) + 28.8
P = 28

So the maximum profit Kate can make is $28, by displaying 40 cards from company A and 50 cards from company B.

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a) \(\[f(z) = -z^2 + 3z - 2\]\) b) The Laurent series expansion for\(\(f(z)\)\)around \(\(z = 0\)\) in the region\(\(0 < |z| < 1\\)) will only contain negative powers of \(\(z\).\)

(a) To find the Laurent series for\(\(f(z) = (z-1)(2-z)\) on \(1 < |z| < 2\) and \(|z| > 2\)\), we can rewrite the function as follows:

\(\[f(z) = -z^2 + 3z - 2\]\)

Now, let's consider the Laurent series expansion around \(z = 0\). Since the function has singularities at \(z = 1\) and \(z = 2\), we need to consider two separate expansions:

1. Expansion around\(\(z = 0\) for \(1 < |z| < 2\):\)

Since the function is analytic in this region, the Laurent series expansion will only contain non-negative powers of \(z\). We can simply expand the function as a Taylor series:

\(\[f(z) = -z^2 + 3z - 2\]\)

\(\[= -(z^2 - 3z + 2)\]\)

\(\[= -(z-1)(z-2)\]\)

\(\[= -\sum_{n=0}^{\infty} z^n\sum_{n=0}^{\infty} 2^n\]\)

2. Expansion around\(\(z = 0\) for \(|z| > 2\):\)

In this region, the function has a singularity at \(z = 2\), so we need to consider negative powers of \(z-2\) in the expansion. We can rewrite the function as:

\(\[f(z) = \frac{1}{z-2} - \frac{3}{z-2} + \frac{2}{z-2}\]\)

\(\[= \sum_{n=1}^{\infty} \frac{1}{2^{n-1}}(z-2)^{-n}\]\)

(b) To find the Laurent series for \(\(f(z) = z(z-1)(z-2)\)\) around \(\(z = 0\)\), we need to consider the expansion in the region \(\(0 < |z| < 1\).\)

We can rewrite the function as:

\(\[f(z) = z(z-1)(z-2) = z^3 - 3z^2 + 2z\]\)

Since \(\(0 < |z| < 1\)\), we can expand the function as a Taylor series around \\((z = 0\):\)

\(\[f(z) = z^3 - 3z^2 + 2z\]\)

\(\[= \sum_{n=0}^{\infty} (-1)^n (3z^{n+2}) - 2z^n\]\)

The Laurent series expansion for\(\(f(z)\)\)around \(\(z = 0\)\) in the region\(\(0 < |z| < 1\\)) will only contain negative powers of \(\(z\).\)

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The rectangular prism can hold  2040 cubic feet of volume when it's three-quarters full.

The volume of a rectangular prism can be calculated using the formula:

V = L * W * H

where L is the length, W is the width and H is the height of the rectangular prism.

We have:

L = 40 ft

W = 8 ft

H = 8 ft 6 in = 8.5 ft   (Remember: 1 ft = 12 in)

Substituting into the formula:

V = 40 * 8 * 8.5

V = 2720 cubic feet

when it's three-quarters full:

Volume = 3/4 * 2720

Volume = 2040 cubic feet

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Complete Question

A shipping container is in the form of a right rectangular prism, with dimensions of 40 ft by 8 ft by 8 ft 6 in. How many cubic feet of shipped goods would it hold when it's three-quarters full? Round your answer to the nearest tenth if necessary.

(a) The area to the left of Z = -1.11 is 0.1331.
(b) The area to the left of Z = -0.51 is 0.3050.
(c) The area to the left of Z = -0.35 is 0.3632.
(d) The area to the left of Z = -0.03 is 0.4918.

To find the area under the standard normal curve to the left of each given Z-score, you can use a standard normal (Z) table or a calculator with a built-in normal distribution function. Here are the steps:

1. Locate the Z-score in the standard normal table or enter it into your calculator's normal distribution function.
2. Find the corresponding probability, which represents the area to the left of that Z-score.

Using these steps, you can find the area to the left of each Z-score:

(a) Z = -1.11:
The area to the left of Z = -1.11 is 0.1335 (rounded to four decimal places).

(b) Z = -0.51:
The area to the left of Z = -0.51 is 0.3050 (rounded to four decimal places).

(c) Z = -0.35:
The area to the left of Z = -0.35 is 0.3632 (rounded to four decimal places).

(d) Z = -0.03:
The area to the left of Z = -0.03 is 0.4901 (rounded to four decimal places).

Therefore, the area under the standard normal curve to the left of any Z-value represents the proportion or percentage of the total area under the curve that is less than that Z-value. It can also be interpreted as the probability of obtaining a standard normal random variable less than that Z-value.

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Answer:

5.1 cm

Step-by-step explanation:

(Probable) Question;

Given a circle with center O and radius 2.4 cm. P is a point on the tangent that touches the circle at point Q, such that the length of the tangent from P to Q is 4.5 cm. Find the length of OP

The given parameters are;

The radius of the circle with enter at O, \(\overline{OQ}\) = 2.4 cm

The length of the tangent from P to the circle at point Q, \(\overline{PQ}\) = 4.5 cm

The length of OP = Required

By Pythagoras's theorem, we have;

\(\overline{OP}\)² = \(\overline{OQ}\)² + \(\overline{PQ}\)²

∴ \(\overline{OP}\)² = 2.4² + 4.5² = 26.01

\(\overline{OP}\) = √26.01 = 5.1

The length of OP = 5.1 cm

Answer:

y=-3x-17

Step-by-step explanation:

y=mx+b   (slope-intercept form)           b=y-intercept= (0,?)  m=slope

y=-3x+b  substitute values

y+3x=b isolate b to find b

1+3(-6)=b substitute given ordered pair

-17=b

y=-3x-17

We have 95% confidence in our interval, instead of 100%.because we need to account for the fact that a) the sample may not be truly random.

Strictly speaking, a 95% confidence interval means that if we were to take 100 different samples and calculate a 95% confidence interval for each sample, then approximately 95 of the 100 confidence intervals will contain the true mean (μ). In practice, however, we take one random sample and generate one confidence interval, which may or may not contain the true mean. The observed interval may overestimate or underestimate μ. Consequently, the 95% CI is the likely range of the true, unknown parameter. A confidence interval does not reflect the variability in the unknown parameter. Rather, it reflects the amount of random error in the sample and provides a range of values ​​that are likely to include the unknown parameter. Another way of thinking about a confidence interval is that it is a range of possible values ​​of a parameter (defined as a point estimate + margin of error) with a specified confidence level (which is similar to a probability).

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The closest percent markup cost to the bracelets Anna sells is 181%.

To determine the percent markup cost for the bracelets Anna sells, we need to calculate the difference between the selling price and the cost price, and then express it as a percentage of the cost price.

The selling price of the bracelets is $45, and the cost price is $16.

Markup = Selling Price - Cost Price

= $45 - $16

= $29

Now, to calculate the percent markup cost, we divide the markup by the cost price and multiply by 100:

Percent Markup Cost = (Markup / Cost Price) \(\times\) 100

= ($29 / $16) \(\times\) 100

= 181.25

Rounded to the nearest whole number, the percent markup cost is approximately 181%.

Therefore, the closest percent markup cost to the bracelets Anna sells is 181%.

This means that Anna is charging customers approximately 181% more than what it cost her to make the bracelets.

The markup cost represents the additional amount she adds to cover expenses, overhead, and to make a profit.

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In multiple regression, a large value of the test statistic f indicates that most of the variation in the response is unexplained by the regression equation and a small value of f indicates that most of the variation in the response is explained by the regression equation. False.

Multiple regression refers to a statistical technique utilized to evaluate the relationship between a single dependent variable and several independent variables. The main goal of the analysis is to use the independent variables with known values to predict the value of the single dependent value. Test statistic f refers to a statistical measure used to test the significance of regression coefficients in linear regression models. In testing the validity of a multiple regression model, a large value of the F-test statistic indicates that most of the variation in y is explained by the regression equation, hence most of the variation in the response is explained by the regression equation.

Note: The question is incomplete as it is missing options which are a) True. b) False.

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Using the Fundamental Counting Theorem, it is found that 6 different possible outcomes are there.

It is a theorem that states that if there are n things, each with \(n_1, n_2, \cdots, n_n\) ways to be done, each thing independent of the other, the number of ways they can be done is:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

In this problem:

Then, the number of outcomes is given by:

N = 2 x 3 = 6.

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Step-by-step explanation:

2x - 3y > 9

the target as slope intercept form is

y = ax + b (or any fitting inequality sign)

so, let's transform the original inequality

2x > 3y + 9

2x - 9 > 3y

2x/3 - 3 > y

or

y < 2x/3 - 3

the slope is 2/3 (always the factor of x). the y-intercept = -3.

Answer:

m

Step-by-step explanation:

Answer:

One ounce costs $0.32

Step-by-step explanation:

To find the price of one ounce, divide the total cost by total ounces bought:

3.20 / 10 = 0.32 per ounce

Answer:

Domain is all x values

Range is all y values

Step-by-step explanation:

Your image is not clear enough for me to see the x or y coordinates so hope that helps you to figure it out on your own

Ellie's car used 1 2/3 gallons to travel 28 3/4 miles. How many miles can the car go on one gallon of gas?​

we know that

1 2/3 gal ---------> 28 3/4 miles

step 1

Convert mixed number to an improper fraction

1 2/3=1+2/3=5/3 gal

28 3/4 =28+3/4=115/4 miles

step 2

Applying proportion

(115/4)/(5/3)=x/1

solve for x

x=(115/4)/(5/3)

x=(115*3)/(4*5)

x=345/20 miles

Convert to mixed number

345/20=340/20+5/20=17+5/20=17+1/4=17 1/4 miles

therefore