Look at this expression.
Can you put it in the simplest form?

Answer:

Step-by-step explanation:

9x-3y=-10 ...............(1)

3x-4y=1...............(2)

multiplying equation (2) by 3

9x-12y=3...................(3)

Using elimination method, then

9x-3y=-10 ...............(1)

9x-12y=3...................(3

9y= -13

y= -13/9

substituting y= -13/9 in equation (1) then

9x-3(-13/9)= -10

9x+13/3= -10

multiplying throughout by 3

27x+13= -30

27x= -30-13

27x= -43

x= -43/27

since x and y values are known, then

12x-7y = 12(-43/27) - 7(-13/9)

12x-7y = -516/27 + 91/9

12x-7y = -9

Answer:

A since A is left blank its A

9514 1404 393

Answer:

  20, 50

Step-by-step explanation:

Let x and y represent the two numbers.

  x + y = 70 . . . . . . their sum is 70

  2x +10 = y . . . . . . one is 10 more than twice the other

Using the second equation to substitute for y in the first equation, we have ...

  x + (2x +10) = 70

  3x = 60 . . . . . . . . . subtract 10

  x = 20 . . . . . . . . . divide by 3

  y = 70 -20 = 50 . . . find the other number

The two numbers are 20 and 50.

Answer:

the answer is D

Step-by-step explanation:

hard to explain it with just words and not be able to show you step by step

The solutions exist at x=-8 and x=3, so the graph will have points at (-8,0) and (3,0).

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Answer:

4

Step-by-step explanation:

Answer:

\(d < 20\)

Step-by-step explanation:

The key words in this question are fewer than, which signifies the less than sign. So, the number of days that Byron worked is less than 20.

Answer:

F is -5, 4

G is 0, 1

H is 0, 4

I hope this is right and if it is not then I'm sorry.

2.5 hours spent in each car wash would cost $40

From the question, we have the following parameters that can be used in our computation:

y = 10x + 20

y = 15x + 5

A situation for the system of equations is the total charges of different car wash per hour

So, the solution would be

The number of hours spent in each car wash for the total amount to be the same

From the graph, the solution is (2.5, 40)

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The inequality that we can write is:

x - 2.45 ≥ 4.6

And the solution is x ≥ 7.05

Here we want to write in mathematic form the following sentence:

"2.45 less than a number x is greater than or equal to 4.6 "

First, "2.45 less than a number x...."

Is written as the difference:

x - 2.45

And that is greater or equal to 4.6, then we will have an inequality, and it will be:

x - 2.45 ≥ 4.6

We can solve that for x by adding 2.45 in both sides, so we will get:

x ≥ 4.6 + 2.45

x ≥ 7.05

That is the inequality solved.

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The inequality 2.45 less than a number x is greater than or equal to 4.6 as an equation is

\( x \: \geqslant 6.95\)

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

The question can be expressed mathematically as:

x - 2.4

\( \geqslant \)

4.5

By solving the above inequality,

We have x

\( \geqslant \)

4.5 + 2.5

Hence, the inequality gives us

\(x \: \geqslant 6.95\)

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Answer:

The correct statements are:

A) There are no zeroes

D) The vertex is (1, 14)

H) The axis of symmetry is x = 1

J) The "a" of the parabola is positive

M) The parabola has a minimum

Therefore, the options B, C, E, F, G, I, K, N, O, P, Q, and R are all false.

Step-by-step explanation:

Step-by-step explanation:

Remember that, this is quadratic function graph.

Let's analyze fact the graph. We get :

There are two roots/zeroes

Two roots are x1 = -2 , x2 = 6

Vertex is maximum value of parabola (2,14)

Symmetry function is x = 2 (you can show that, x-axis from vertex)

"a" parabola indicated negative

The parabola with "a" negative, thus have maximum value (show that vertex is (2,14))

Conclusion :

The true statements are C,F,I,K,N,O (6 statements are shown)

Subject : Mathematics

Level : JHS

Chapter : Quadratic Functions

Answer:

X > 3.8

Step-by-step explanation:

x +2 > 5.8

x +2 -2 > 5.8 -2

x > 3.8

Answer:

x > 3.8

Step-by-step explanation:

Just solve the inequality like an equation:

x + 2 > 5.8

    -2    -2

x > 3.8

So then x can be any number greater than 3.8.

Answer:

7 schools have fewer than 50 classrooms.

Answer:

1.20 times 11. I hope it helped!

Answer:

f (k)

Step-by-step explanation:

Here, we are required to determine the value of f(-4) given the graph of a function f(x) as in the attached image.

The graph of the function f(x) is a curve, where x is the independent variable and f(x) is dependent on the value of x.

By observation, each box on the represents 1 unit on the x- and f(x) axis.

Ultimately, the point f(x) which corresponds to the point where x = -4 is; f(-4) = 2.

Therefore, f(-4) = 2 according to the graph of the function f(x) as given in the attached image.

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That   the Upperclassmen are more likely to view college as affordable than freshmen at the 95% level of Confidence.

The T-Test of Independence statistic, we need to use a two-sample t-test to compare the means of the two groups, freshmen and seniors. We will assume that the two samples are independent and that the variances of the two populations are equal.

First, we calculate the means and standard deviations of each group:

- Freshmen: Mean = 73.33, SD = 6.26

- Seniors: Mean = 73.67, SD = 9.11

Next, we calculate the pooled standard deviation:

Sp = sqrt[((n1-1)*s1^2 + (n2-1)*s2^2)/(n1+n2-2)]

    = sqrt[((6-1)*6.26^2 + (6-1)*9.11^2)/(6+6-2)]

    = 7.36

where n1 and n2 are the sample sizes and s1 and s2 are the sample standard deviations.

We can now calculate the t-statistic:

t = (x1 - x2) / (Sp * sqrt(1/n1 + 1/n2))

 = (73.33 - 73.67) / (7.36 * sqrt(1/6 + 1/6))

 = -0.22

where x1 and x2 are the sample means.

Using a t-distribution table with 10 degrees of freedom (n1 + n2 - 2), we find that the critical value for a two-tailed test at the 95% level is 2.306. Since our calculated t-value (-0.22) is less than the critical value, we fail to reject the null hypothesis that there is no difference between the means of the two groups.

Therefore, based on the data provided, we cannot conclude that upperclassmen are more likely to view college as affordable than freshmen at the 95% level of confidence.

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Answer: I'm sorry I can't help, I've never even heard of Steno's principles. What grade are you in?

Step-by-step explanation:

The experimental probability of choosing a student who walks to school is given by 0.15625 or 15.625%.

Given data ,

The experimental probability of choosing a student who walks to school can be calculated by dividing the number of students who walk to school by the total number of students in Joe's class.

Number of students who walk to school = 5

Total number of students in the class = 32

Experimental probability = Number of students who walk to school / Total number of students

= 5 / 32

P = 0.15625

Hence , the experimental probability of choosing a student who walks is 0.15625 or 15.625%.

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To make the dough, he'll need 5 3/4 cups of floor.

A fraction is a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction describes the number of parts of a specific size, such as one-half, eight-fifths, or three-quarters. In mathematics, a fraction is used to represent a portion or part of a whole. It symbolizes the equal parts of the whole. A fraction is made up of two parts: the numerator and the denominator. The top number is known as the numerator, and the bottom number is known as the denominator.

Here,

10 1/4 cups of flour needed to make a batch=41/4 cups

4 1/2 cups of floor is there=9/2 cups

flour does he need to make the dough,

=41/4-9/2

=(41-18)/4

=23/4

=5 3/4 cups

He needs 5 3/4 cups of floor to make the dough.

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The number of heavy equipment operators employed is 26 while number of laborers employed is 6

Let x be the number of heavy equipment operators employed

Thus, If thirty-two people were hired, then we can say that;

32 - x represents the number of laborers employed

Thus, the equation to solve for x would be;

136x + 80(32 - x) = 3960

136x + 2560 - 80x = 3960

216x + 2560 = 3960

216x = 3960 - 2560

216x = 1400

x = 1400/216

x ≅ 6

Thus;

32 - x = 32 - 6 = 26

Thus, we conclude that number of heavy equipment operators employed is 26 while number of laborers employed = 6

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Answer:

7.65

Step-by-step explanation:

26.01/3.4=7.65

A mean is an arithmetic average of a set of observations. The average time taken by Shiho to complete the track is 3.7 seconds.

A mean is an arithmetic average of a set of observations. it is given by the formula,

\(\rm Mean=\dfrac{\text{Sum of all obervation}}{\text{Number of observation}}\)

The reading of the 5 trials of Shiho is 3.3 seconds, 3.8 seconds, 4.1 seconds, 4.1 seconds, and 3.1 seconds. Therefore, the average or the meantime of Shiho can be written as,

\(\rm \text{Average Time} = \dfrac{\text{Sum of all observations}}{\text{Number of trials}}\\\\\text{Avrage Time} = \dfrac{3.3+3.8+4.1+4.1+3.1}{5}=\dfrac{18.4}{5}= 3.68\approx 3.7\ seconds\)

Hence, the average time taken by Shiho to complete the track is 3.7 seconds.

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Answer:

1) 5cm

2) 15cm

3) 7.4cm

4) 12.5cm

5) 3.9cm

6) 10cm

Step-by-step explanation:

Square both values, then add the 2 values. After, with the answer, root it. This method applies for all the questions given.

For example:

For your first question:

4^2 + 3^2 = 25

√25 = 5cm

Hope this helps!

Answer:

80

Step-by-step explanation:

17+13=30

22+23+5=50

30+50=80

Answer:

80 cards

Step-by-step explanation:

23+5=28

13+17=30

28+30=58

58+22=80

The equation of the line in slope-intercept form is y = -2x - 2

Given,

The equation of line = y = 1/2x - 3

Points which the line passes, (x, y) = (-2, 2)

We have to find the equation of the line in slope-intercept form that passes through the given points.

The line is perpendicular to the given line, y = 1/2x - 3

Therefore,

The slope of the line will be opposite to the reciprocal of the given slope.

That is,

Slope of given line = 1/2

Slope of new line = -2/1 = -2

Now find b

2 = -2 x -2 + b

2 = 4 + b

b = 2 - 4

b = -2

Substitute this to the equation and find the equation of line

That is,

y = mx + b

y = -2x - 2

So,

The equation of the line in slope-intercept form is y = -2x - 2

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The term “inverse” in mathematics generally refers to an operation that undoes or reverses another operation. However, the phrase "inverse of maths tools" doesn't really make sense because “maths tools” is not a specific mathematical operation.

Mathematical tools can refer to various instruments or techniques used in mathematics, such as calculators, rulers, compasses, graph paper, software, etc. Each of these tools has its own purpose and may or may not have an inverse operation or tool associated with it.

For example, the inverse of addition is subtraction, the inverse of multiplication is division, and the inverse of differentiation is integration. However, it's not clear what the inverse of a “maths tool” would be.

Therefore,  a) The inverse of “Add 25” would be “Subtract 25.”What is the  b) The inverse of “Divide -18” would be “Multiply -18.” c) The inverse of “Subtract 3” would be “Add 3.” d) The inverse of “Multiply 14” would be “Divide 14.”

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The Area of the shaded portion is: 72 square inches

The formula for the area of a triangle is given by the formula:

Area = ¹/₂ * base * height

Now, to get the area of the shaded portion, we will get the area of the larger triangle and subtract the area of the smaller one from it.

Thus:

Area of larger triangle = ¹/₂ *  17 * 13 = 110.5 square inches

Area of smaller triangle =  ¹/₂ * 11 * 7 = 38.5 square inches

Thus:

Area of shaded portion = 110.5 square inches - 38.5 square inches

Area of shaded portion = 72 square inches

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