Find the solution of the system of equations.
-7x – 6y = -1
14x + 5y = 9

There isnt a picturee but when you add another question I will hep you the best I can :)

The statement that are true about the function and its graph is "The graph of the function is a parabola " , the correct option is (b) .

In the question ,

it is given that ,

the quadratic function is f(x) = x² – 5x + 12 .

for x = -10 ,

f(-10) = (-10)² – 5(-10) + 12

= 100 + 50 + 12

= 162

option(a) is false .

the graph of the quadratic function is shown below .

form the graph we can see that the graph is a parabola ,

and the function opens upwards ,

the graph does not contain the points (20,-8) and (0,0)

Therefore , The statement that are true about the function and its graph is "The graph of the function is a parabola " , the correct option is (b) .

The given question is incomplete , the complete question is

Consider the quadratic function f(x) = x² – 5x + 12. Which statement is true about the function and its graph?

(a) The value of f(–10) = 82

(b) The graph of the function is a parabola.

(c) The graph of the function opens down.

(d) The graph contains the point (20, –8).

(e) The graph contains the point (0, 0).

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The fish tank has a total volume of 288 inch³. As a result, Jessica's new fish tank has a capacity of 288 inch³ for water.

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

V = l x b x h..........(i)

where,

V ⇒ Volume

l  ⇒ length

b ⇒ width

h ⇒ height

From the question, we are given the values,

l = 8 inches

b = 4 inches

h = 9 inches

Putting these values in equation (i), we get,

V = 8 x 4 x 9

⇒ V = 288 in³

Therefore, the fish tank has a total volume of 288 inch³. As a result, Jessica's new fish tank has a capacity of 288 inch³ for water.

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Answer:

Step-by-step explanation:

-3g-6

Answer:

XY=8.2 cm

Step-by-step explanation:

The attached figure shows a triangle XYZ. It is right angle at vertex Y and XZ = 24 cm. Also, angle ZXY = 70°

We need to find the length of line segment XY. It can be calculated using Trigonometry. So,

\(\cos\theta=\dfrac{B}{H}\\\\\cos(70)=\dfrac{XY}{24}\\\\XY=\cos(70)\times 24\\\\XY=8.2\ cm\)

So, the length of the line segment XY is 8.2 cm. Hence, the correct option is (a) "8.2 cm".

Answer:

a

Step-by-step explanation:

Answer:c

Step-by-step explanation is va cuz when your multiply:

Answer:

\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)

Step-by-step explanation:

The analysis is as attached below.

Answer:

If I'm correct it should be the second one

Step-by-step explanation:

llllllllllllllllllllllllllllllll

The degree of the polynomial is 14

The polynomial is given as:

y^2+7x^14-10x^2

Here, we assume that the variable of the polynomial is x

The highest power of x in the polynomial y^2+7x^14-10x^2 is 14

Hence, the degree of the polynomial is 14

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The maximum loan you can obtain if the rate for a 25-year mortgage is 8.65% is $298,853.76

A monthly payment can be calculated as;

Monthly payment = (Monthly income - payment)(percentage payment)

38% of your gross monthly income is

 0.38 × $6,500 = $2470

If you're already spending $525 on monthly payments, the amount the bank says you can afford for a mortgage loan;

Then

$2470-525= $1945

The amortization formula can be used to find the corresponding loan value.

A = P(r/25)/(1 -(1 +r/25)^(-25t))

where A is the monthly payment on a loan of P at interest rate of r for time t years.

Filling in the known values, we have ;

 1945= P(.0525/25)/(1 -(1 +.0525/25)^(-12·30))

≈ 0.00515636808·P

Then the maximum loan can obtain is

 P = $1945/0.00515636

P ≈ $298,853.76

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Answer:

\(54.75^\circ\)

Step-by-step explanation:

Formula for horizontal distance or range is given as:

\(s=\dfrac{2v_i^2sin\theta cos\theta}{g}\)

Where

\(v_i\) is the initial velocity

\(\theta\) is the angle with horizontal at which the projectile was thrown

\(g\) is the acceleration due to gravity.

Given,

Initial velocity, \(v_i\) = 60 m/s

Range, \(s\) = 300 m

To find: \(\theta = ?\)

Solution:

Using the formula as stated above:

\(300=\dfrac{2\times 60^2sin\theta cos\theta}{9.8}\\\Rightarrow 2sin\theta cos\theta =\dfrac{300\times 9.8}{3600}\\\Rightarrow sin2\theta =0.81666\\\Rightarrow \theta \approx \bold{54.75^\circ}\)

Firing angle \(54.75^\circ\) will produce a range of 300 m.

Answer:

I think it's E, F, H

Step-by-step explanation:

Hope you got it.

Merry Christmas...

Answer:

17

Step-by-step explanation:

PEMDAS

parentheses, exponents, multiply, divide, add, subtract

5(12-9)^2 -4×7

5(3)^2 -4×7

5(9)-4×7

45 -28

17

Answer:

52

Step-by-step explanation:

Answer:52

Step-by-step explanation:

Therefore , the solution of the given problem of  probability comes out to be the right response is thus: "Drawing a red card or a Queen from a regular deck of cards is an overlapping occurrence."

The primary objective of statistical inference, a branch of mathematics, is to determine the chance that a claim is true or that a specific event will occur. Chance can be represented by any number between 0 and 1, in which 1 typically represents certainty and 0 typically represents possibility. A probability diagram shows the chance that a specific event will occur.

Here,

Because the Queen of Hearts and Jack of Spades are not face cards or nines,

the occurrences "Drawing a Queen of Hearts or Jack of Spades from a standard deck of cards" and "Drawing a face card or a 9 from the a standard deck of cards" do not overlap.

A Queen of Hearts is both a red card and a queen, and a diamond is a type of red card and a club is a type of card, so the occurrences "Drawing a Diamond or a Club from a Standard Deck of Cards" and "Drawing a Red Card or a Queen from a Standard Deck of Cards" overlap.

The right response is thus: "Drawing a red card or a Queen from a regular deck of cards is an overlapping occurrence."

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Answer: 0.16

Step-by-step explanation:

Let X be a random variable that represents the heights of women at a large university are approximately bell-shaped, with a mean of 66 inches and standard deviation of 3 inches.

According to the Empirical Rule, for bell-shaped distributions, about 68% of the values fall within 1 standard deviation of the mean.

About 68% woman have height between ( 66-3) inches and (66+3) inches.

i.e. About 68% woman have height between 63 inches and 69 inches.

The percentage of woman have height either less than 69 inches or greater than 69 inches =100% - 68%= 32% [both share equal area on curve.]

The percentage of woman have height  is 69 inches or taller = 32%÷2

= 16%

Hence, the probability that a randomly selected woman from this university is 69 inches or taller =16%=0.16

Answer:

21

Step-by-step explanation

If 7 apples are 2.10 then for 4.20 its 14 apples.   And 3 apples is 90 cents.  1 apple is 0.30.  So the amount you can buy is 21 because 6.30/0.3 is 21

Answer:

21

Explanation:

If 7 apples cost y cents, how many can you buy for x dollars?

As y cents buy 7 apples, y dollars will buy 7×100 apples.

Hence one dollar will buy 7×100y=700y apples and,

x dollars will buy 700y × x apples or 700x y apples.

Hence 7 apples multiplied by $6.30 divided by $2.10 will get you 21 apples.

Have a beautiful day! v(⌒o⌒)v♪

Answer:

the perimeter is the total length of that plane figure

Answer:

(1,4)

Step-by-step explanation:

Answer:

y = 6x - 2

Step-by-step explanation:

Let the equation of the line be y = mx + c

m = (10 - (-8))/(2 - (-1)) = 6

sub (2, 10):

10 = 6(2) + c

c = -2

therefore, the equation of the line is y = 6x - 2

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Objects commonly found in a locality include residential buildings, commercial establishments, public facilities, transportation infrastructure, landmarks, natural features, utilities, street furniture, and vehicles.

The type of objects that can be found in a locality can vary greatly depending on the specific location and its surroundings. Here are some common types of objects that can be found in a locality:

Residential Buildings: Houses, apartments, condominiums, and other types of residential structures are commonly found in localities where people live.

Commercial Establishments: Localities often have various types of commercial establishments such as stores, shops, restaurants, cafes, banks, offices, and shopping centers.

Public Facilities: Localities typically have public facilities such as schools, libraries, hospitals, community centers, parks, playgrounds, and sports facilities.

Transportation Infrastructure: Localities usually have roads, sidewalks, bridges, and public transportation systems like bus stops or train stations.

Landmarks and Monuments: Some localities may have landmarks, historical sites, monuments, or cultural attractions that represent the area's heritage or significance.

Natural Features: Depending on the locality's geographical characteristics, natural features like parks, lakes, rivers, mountains, forests, or beaches can be present.

Utilities: Localities have infrastructure for utilities such as water supply systems, electrical grids, sewage systems, and telecommunications networks.

Street Furniture: Localities often have street furniture like benches, streetlights, waste bins, traffic signs, and public art installations.

Vehicles: Various types of vehicles can be found in a locality, including cars, bicycles, motorcycles, buses, trucks, and possibly other modes of transportation.

It's important to note that the objects present in a locality can significantly differ based on factors such as urban or rural setting, cultural context, economic development, and geographical location.

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The probability of the Doubles" means both dice show the same number is 36.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The probabilities of these two outcomes must be added in order to get the likelihood of rolling an even number or doubles, but since we have already tallied those outcomes twice, the probability of rolling both doubles and an even number must be subtracted. The probability of rolling doubles and an even number is 1/36 since rolling two sixes is the only method to get a double and an even number.

The likelihood of rolling an even number or doubles is thus:

The formula for P(even number or doubles) is P(even number) = P(even number) + P(doubles) - P(even number and doubles) = 1/2 + 1/6 - 1/36 = 19/36.

The odds of rolling an even number or two doubles are 19/36.

Therefore, the probability of the Doubles" means both dice show the same number is 36.

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Answer:

2

Step-by-step explanation:

the reason it is 2 is because two negatives dont stay a negative two negatives = a positive now one negative = a negative

Answer:

x = 14+

Step-by-step explanation:

If 14 + 14 = 28

Then

28 > 27 is true.

Answer:

Step-by-step explanation:

a) The formula for the regression function is:

Maintenance Cost = 54.7757 + 120.689 x Age of Car

b) The slope of the regression equation is 120.689. This means that on average, for every one year increase in the age of a car, the maintenance cost is expected to increase by $120.689.

c) To construct a 95% interval to predict the maintenance cost for a car that is 7 years old, we can use the formula:

Y = a + bX ± tα/2 * SE

where Y is the predicted maintenance cost, a is the intercept, b is the slope, X is the age of the car, tα/2 is the t-value for the 95% confidence level with n-2 degrees of freedom (11 in this case), and SE is the standard error of the estimate.

Plugging in the values, we get:

Y = 54.7757 + 120.689 * 7 ± 2.201 * 11.8442

Y = 923.167 ± 26.010

Therefore, we can be 95% confident that the maintenance cost for a car that is 7 years old will be between $897.16 and $949.17.

d) The null hypothesis is that there is no significant linear relationship between the average maintenance cost and the age of a car in years. The alternative hypothesis is that there is a significant linear relationship between the average maintenance cost and the age of a car in years.

To test the hypothesis, we can perform a t-test on the slope coefficient using the t-statistic and the p-value provided in the output. The t-statistic is 10.1898, which is much greater than the critical t-value at the 0.05 level of significance for a two-tailed test with 11 degrees of freedom (2.201). The p-value is 0.0000, which is less than the significance level of 0.05. Therefore, we can reject the null hypothesis and conclude that there is a significant linear relationship between the maintenance cost and the age of the car in years.

Answer:20

Step-by-step explanation:this is wrong

Answer:

40

Step-by-step explanation:

subtract median of dogs and median of cats

Answer:

Step-by-step explanation:

6-$10 12-$20 15-$25

part 2 $40

The coordinates of the image of vertex F after a reflection across the line y=-x is (3,-1)

From the question, the coordinates of the vertex F are:

F = (1,3)

When reflected across the line y = -x, the coordinates become

F' =  (3,-1)

Hence, the coordinates of the image of vertex F after a reflection across the line y=-x is (3,-1)

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The answer for this question is A:

A = x = –t + 1 and y = 0.5t + 4 when –2 ≤ t ≤ 6

The parametric equations of the curve are:

x = –t + 1 and y = 0.5t + 4 when –5 ≤ t ≤ 3

The parametric equation of the line is, \(x=x_0+at,y=y_0+bt\) where \((x_0,y_0)\) is the point on the line and \(\frac{b}{a}\) is the slope of the line with a, b are real numbers.

If (a, b) and (c, d) are any two points on the line then, slope of the line is:

m = (d - b)/(c - a)

For given situation,

a line goes from (-5, 7) to (3, 3).

Using the formula of slope, the value of m i.e., slope of the line  would be,

⇒ m = (7 - 3)/(-5 - 3)

⇒ m = 4/(-8)

⇒ m = 1/(-2)

⇒ m= 0.5/(-1)

Comparing with m = b/a,

b = 0.5 and a = -1.

From the graph of the line given below,

A point (1, 4) is also on the line.

Let \(\bold{(x_0,y_0)=(1,4)}\)

Using the parametric equation of the line,

\(x=x_0+at\)

⇒ x = 1 + (-1)t

⇒ x = -t + 1

and \(y = y_0+bt\)

⇒ y = 4 + (0.5)t

⇒ y = 0.5t + 4

Therefore, the parametric equations of the curve are:

x = –t + 1 and y = 0.5t + 4 when –5 ≤ t ≤ 3

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The answer is explained below.

In order to be considered a language, a system of communication must have vocabulary, grammar, syntax, and people who use and understand it. Mathematics meets this definition of a language. Linguists who don't consider math a language cite its use as a written rather than spoken form of communication.

Mathematics is pure language - the language of science. It is unique among languages in its ability to provide precise expression for every thought or concept that can be formulated in its terms. In a spoken language, there exist words, like "happiness", that defy definition.

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