Is the ordered pair a solution to the system of linear equations? Select Yes or No. Ordered pair: (7, 6) System of equations: -2x+y=20 6x-5y=12

Answer:

Step-by-step explanation:

Plz mark it as brainliest

Answer: with 11 miles, it can travel 220 miles

Answer:

you will save 18 dollars

Step-by-step explanation:

Answer:

You would save $18

And your final cost would be $102

Step-by-step explanation:

Answer:

[tex]f(x-1)=-3x+10[/tex]

Step-by-step explanation:

Substitute [tex]x-1[/tex] instead of [tex]x[/tex] into the function expression:

if [tex]f(x)=-3x+7,[/tex] then

[tex]f(x-1)=-3(x-1)+7=-3x+3+7=-3x+10.[/tex]

You get the expression [tex]f(x-1)=-3x+10.[/tex]

Answer:

The answer is true

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

No you can't because just like multiplication, you cant divide anything by zero.

Step-by-step explanation:

You must evaluate the function f first.  Division by 0 is undefined.

Therefore, The composition cannot be evaluated.

Answer:

sample answer on edg2020

Step-by-step explanation:

To evaluate the composition, you need to find the value of function f first. But, f(0) is 1 over 0, and division by 0 is undefined. Therefore, you cannot find the value of the composition.

Answer:

The students who never want to travel to another country Y= 7S/10 -40

Step-by-step explanation:

Let's assume the number of students who have never been to another country be Y.

Then as per question 30% percent students have traveled out of the country.

Therefore 70% students out of S have never traveled to another country.

Equation becomes like Y= S×70÷100

                                       Y = 7S/10

Now it is stated that 40 students of the students who have never been out of the country had eventually travel to another country.

Therefore the equation will be Y = 7S/10-40

Answer:

-2.4

Step-by-step explanation:

The difference between any two consecutive terms (following - preceding) is -2.4. The negative sign corresponds to the observation that the sequence is decreasing.

The common difference in an arithmetic sequence is the consistent difference between consecutive terms of the sequence. It's calculated by subtracting a term from its subsequent term. For example, in the sequence 3, 5, 7, 9, the common difference is 2.

In the field of mathematics, specifically in sequences, the common difference refers to the difference between consecutive terms in an arithmetic sequence. An arithmetic sequence is a list of numbers in which each term is obtained from the previous one by adding a fixed number.

To find the common difference, you simply subtract the second term from the third, or the first from the second. For instance, if your arithmetic sequence is 3, 5, 7, 9, the common difference would be 5-3 or 7-5, which both yield a common difference of 2.

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Answer:

The angle 6 measures 54 degrees

Step-by-step explanation:

Angle 6 is congruent to angle 7 ("-2x+34") as it is an opposite angle in straight line intersection. But angle 6 is congruent to angle 2 (-9x-36) due to the two horizontal lines being parallel. So we can write the following equality to determine the value of x:

-2x + 34 = -9x -36

7x = -70

==> x = -10

Now we can answer the question:  the angle 6 is

-2x + 34 = -2(-10)+34 = 54 degrees

Answer:

35 words per minute

Step-by-step explanation:

To find the unit rate, we divide the number of words  by the number of minutes

70/2

35 words per minute

The unit rate of 70 words per 2 minutes is found by dividing the total words by the minutes, resulting in a unit rate of 35 words per minute.

To find the unit rate, we calculate the number of words that can be written or read per unit of time, which is usually one minute. Given 70 words per 2 minutes, we divide the number of words by the number of minutes to find the unit rate.

Step 1: Divide 70 by 2 to find the number of words per minute.

70 words / 2 minutes = 35 words per minute.

Therefore, the unit rate is 35 words per minute.

The dilation of ΔABC by a scale factor of 0.25 maps B to B' and C to C'. Using the distance formula, we find that the length of B'C' is 5 units.

The problem is essentially asking for the length of line segment B'C' in the dilated triangle ΔA'B'C'. When an object undergoes a dilation by scale factor of 0.25, this means that every point x, y is mapped to 0.25x, 0.25y. So points B and C map to B' and C' as follows:

B(2, 1) --> B'(2*0.25, 1*0.25) = B'(0.5, 0.25)
C(14, 17) --> C'(14*0.25, 17*0.25) = C'(3.5, 4.25).

The length B'C' then equals the distance between B' and C', which can be found using the distance formula [tex]\sqrt{{(x_2 - x_1)^2 + (y_2 - y_1)^2}}[/tex]. So the calculation is [tex]\sqrt{(3.5 - 0.5)^2 + (4.25 - 0.25)^2} = \sqrt{3^2 + 4^2} = \sqrt{25} = 5 \text{ units}[/tex].

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Answer:-5*5=-25

Step-by-step explanation: If -5=x, since 1=y, then plug it in to the equation to get -25

Answer:

(-1,1) got it right on plato :)

Option 2 .The statement that is NOT TRUE is "A is the complement of B"

Let’s analyze each option:

1. A and B are joint sets: Sets A and B are not joint sets (disjoint sets) because they have common elements. Specifically, both sets contain the elements 2, 3, and 4.

2. A is the complement of B: The complement of a set B relative to A would be the set of elements in A that are not in B The complement of B in A is {1, 5\}, not equal to A Therefore, A is not the complement of B.

3. B ⊆ A: Set B = {2, 3, 4} is indeed a subset of A = {1, 2, 3, 4, 5} , meaning all elements of B are contained in A.

4. Ø ⊆ A: The empty set Ø is a subset of any set, including A

5. A ⊆ B: Set A = {1, 2, 3, 4, 5} is not a subset of B = {2, 3, 4}, since A contains elements (1 and 5) that are not in B.

Complete question

Answer:

8

Step-by-step explanation:

So solving for x, 1/4x=2. So x=8

Hi, so your answer is the second one

Answer: c is less than zero (third choice)

The parent nth root function (n is some odd number) will look like this sideways S shape, or look like a rotated cubic curve shape. The vertical flat part of the nth root is normally at (0,0); however, it has been shifted down and to the left. Because it has been shifted down, this means c must be negative. The 'c' handles the up and down shifting, depending whether its positive or negative.

Final answer:

The question pertains to the Mathematics subject, specifically within the college-level coursework of precalculus and calculus, with a focus on problem-solving, series expansions, and statistical analysis.

Explanation:

The subject of the question provided falls under the category of Mathematics since it includes discussions of precalculus class scores, calculus problems, concepts of slopes, and statistical analysis regarding the pass rates of calculus courses. The given question pertains at the college level, addressing issues found in a first-year Calculus course (Math 1A and Math 1B). The precalculus scores are likely used to determine statistical measures, such as the mean or median of the data. Problem-solving suggestions hint at understanding mathematical functions and their power series expansions, which are topics covered in calculus. Strategies for solving integrated concept problems involve identifying relevant mathematical principles and applying them correctly.

The issue with the data from precalculus scores and calculus pass rates suggests application of statistical analysis and highlights the importance of accommodation for various mathematical representations, which could include analytical techniques.

Answer:

20

Step-by-step explanation:

Answer:

the father is 40

Step-by-step explanation:

Answer:

She will owe $500

Step-by-step explanation:

Answer:

She will owe $500 after 4 payments.

Step-by-step explanation:

With the help of graph

Number of payments (x)      Balance remaining(y)

         0                                         2500

         1                                          2000

         2                                         1500

Since it is linear function .

So, we will use two point slope form to find the equation for the given situation.

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]   ----A

[tex](x_1,y_1)=(0,2500)[/tex]

[tex](x_2,y_2)=(1,2000)[/tex]

Substitute the values in A

[tex]y-2500=\frac{2000-2500}{1-0}(x-0)[/tex]

[tex]y-2500=-500x[/tex]

[tex]y=-500x+2500[/tex]

Where x is the number of payments

y is the remaining payment

This equation represents the given situation.

So, to find the amount remaining after 4 payments .Substitute x =4

[tex]y=-500(4)+2500[/tex]

[tex]y=-2000+2500[/tex]

[tex]y=500[/tex]

Hence she will owe $500 after 4 payments.

Answer:

Option C) 2

Step-by-step explanation:

We are given the following information in the question:

[tex]\displaystyle\frac{a}{b} = 2[/tex]

We have to find the value of [tex]\displaystyle\frac{4b}{a}[/tex].

The solving can be done in the following manner:

[tex]\displaystyle\frac{a}{b} = 2\\\\\RIghtarrow \frac{b}{a} = \frac{1}{2}\\\\\text{Multiplyimg both sides by 4}\\\\4\times \frac{b}{a} =4\times \frac{1}{2}\\\\\frac{4 b}{a} = \frac{4}{2} = 2[/tex]

Option C) 2 is the correct answer.

In the given case, If a/b = 2, the value of 4b/a is 4. Option C is correct.

The answer is C.

The value of an expression in mathematics refers to the result obtained when you perform the specified operations or calculations with the given variables, numbers, or mathematical symbols.

Expressions can be simple or complex and may involve addition, subtraction, multiplication, division, exponentiation, and various mathematical functions.

We are given that a/b = 2.

Solving for b, we get b = a/2.

Substituting this into 4b/a, we get:

4b/a = 4(a/2)/a = 2a/a = 2

Therefore, the value of 4b/a is 2.

Learn more about Value of expression here:

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Answer:

Product A.

Step-by-step explanation:

The unit price of product A is $1.36/8oz = $0.17/oz.

The unit price of product B is $3.20/16oz = $0.20/oz.

Answer:

not 100% about this answer but I think it is the 8oz bottle

Step-by-step explanation:

take $1.36 and divide it by 8 which gives you .17 which is 17 cents per oz now do the same thing for the 16 oz so take $3.20 and divide it by 16 and you get .2 which is 20 cents per oz so the 8oz has the lowest unit price of the two!

Answer:

a: x=16 y=8

b. x=6 y=28

Step-by-step explanation:

Answer:

15 points vertically.

Step-by-step explanation:

change -8 to 8, then add the 2 numbers in the y axis and you will get 15. brainliest?

Answer:

9/20

Step-by-step explanation:

1/3 *  3/5 * 2 1/4 =

1/3 * 3/5 * 9/4=

1/5 * 9/4 =

9/20

Answer:

[tex]\frac{9}{20}[/tex]

Step-by-step explanation:

change the mixed number to an improper fraction

2 [tex]\frac{1}{4}[/tex] = [tex]\frac{9}{4}[/tex]

We have to calculate

[tex]\frac{1}{3}[/tex] × [tex]\frac{3}{5}[/tex] × [tex]\frac{9}{4}[/tex]

simplify by cancelling the 3's on the numerator/denominator

then

= 1 × [tex]\frac{1}{5}[/tex] × [tex]\frac{9}{4}[/tex]

multiply the remaining values on the numerators /denominators

= [tex]\frac{9}{5(4)}[/tex] = [tex]\frac{9}{20}[/tex]

Answer:

a. opens: downward

b. vertex: (4, 2)

c. x-intercepts: (2, 0), (6, 0); y-intercept: (0, -6)

d. a.o.s.: x = 4

Step-by-step explanation:

Based on the picture the parabola opens downwards. Right away you know that the "a" value in the parabola's equation will be negative.

To find the coordinates of the vertex, you'll need to look at the picture. Remember: look on the x-axis first and then the y-axis next.

The very top of the parabola (maximum point = vertex) is at the x-value of 4 and the y-value of 2. This means the coordinates of the vertex of this parabola is (4, 2).

To find the x-intercepts, look at the x-axis and see where the parabola crosses it. The parabola goes through the x-axis at the x-values of 2 and 6, so the x-intercepts of this parabola are (2, 0) and (6, 0).

To find the y-intercept, look at the y-axis and see where the parabola crosses it. The parabola intersects the y-axis at the y-value of -6, so (0, -6) would be the y-intercept.

The equation for the axis of symmetry of a graph is always x = h, where h is the x-value of the coordinate of the vertex.

Since the vertex is (4, 2), where 4 = h, the equation of the axis of symmetry would be x = 4.

[tex]\text{Domain}\\\\y-9 > 0\to y>9\\\\------------------------\\\\\log_4(y-9)+\log_43=\log_481\qquad\text{use}\ \log x+\log y=\log(xy)\\\\\log_4[3(y-9)]=\log_481\qquad\text{use distributive property}\\\\\log_4(3y-27)=\log_481\iff3y-27=81\qquad\text{add 27 to both sides}\\\\3y=108\qquad\text{divide both sides by 3}\\\\\boxed{y=36}\in D\\\\Answer:\ \boxed{y=36}[/tex]

Answer:

y = 36

Step-by-step explanation:

log4 (y – 9) + log4 3 = log4 81.

We know from the property of logs that if the bases are the same, when we subtract logs, we can divide what is inside

loga (b) + loga (b) = loga (b*c)

Lets simplify the expression log4( (y-9)*3) = log4 (81)

Since the bases are the same, what is inside the parentheses on the left hand side  must be equal to what is inside the parentheses o the right hand side

(y-9)*3 = 81

Divide each side by 3

(y-9)*3 /3= 81/3

y-9 = 27

Add 9 to each side

y-9+9 = 27+9

y = 36

I am a butterfly! Look at my wings! Lol.

Anyways. 8*4=32

5*4=20

Leila made $20

-TheOneandOnly003

Answer:

Interest for 1 year is $80.50

Step-by-step explanation:

Simple interest is given by the formula

I =PRT

where I is the interest, P is the principal, R is the rate in decimal form, and T is the time.

P =3500

R=.023

T = 1     (1 year)

I = (3500) * (.023) (1)

I = 80.50

Final answer:

The man originally had $99. We determined this by setting up an equation based on the remaining amount after spending and misplacing portions of his money, then we solved for the original total.

Explanation:

To solve for the original amount of money the man had, let's call that amount x. First, he spent two-thirds of his money, which is (2/3)x. The remainder is x - (2/3)x = (1/3)x. He then misplaced one-third of this remainder which is (1/3) of (1/3)x = (1/9)x. So the portion he was left with is (1/3)x - (1/9)x = (2/9)x.

Since we know the final amount left is $22, we can express this as an equation:

To find x, we will divide both sides of the equation by (2/9):

When dividing by a fraction, we multiply by its reciprocal which is (9/2):

Therefore, the man originally had $99.

Answer:

a=3.75 un., b=11.25 un.

[tex]x=7.5\ un.[/tex]

[tex]y=\dfrac{15\sqrt{3}}{4}\ un.[/tex]

[tex]z=\dfrac{15\sqrt{3}}{2}\ un.[/tex]

Step-by-step explanation:

Given triangle is special 30°-60°-90° right triangle. The leg that is opposite to the angle of measure 30° is always equal to half of the hypotenuse. The hypotenuse is of length 15 units, the leg that is opposite to the 30° angle is leg with length of x units, then

[tex]x=\dfrac{15}{2}=7.5\ un.[/tex]

In right triangle with hypotenuse x and legs y and a, angle opposite to the leg a is 30°, then

[tex]a=\dfrac{x}{2}=\dfrac{7.5}{2}=3.75\ un.[/tex]

and

[tex]b=15-a=15-3.75=11.25\ un.[/tex]

By the Pythagorean theorem,

[tex]x^2=y^2+a^2,\\ \\7.5^2=3.75^2+y^2,\\ \\y^2=\left(\dfrac{15}{2}\right)^2-\left(\dfrac{15}{4}\right)^2=\dfrac{225}{4}-\dfrac{225}{16}=\dfrac{675}{16},\\ \\y=\dfrac{15\sqrt{3}}{4}\ un.[/tex]

In right triangle with legs y and b and hypotenuse z, leg y is opposite to 30° angle, then

[tex]z=2y=\dfrac{15\sqrt{3}}{2}\ un.[/tex]

Answer:

[tex]a=3.75[/tex]

Step-by-step explanation:

The hypotenuse of the large triangle is 15.

We can see that the side opposite of 30° angle is [tex]x[/tex]

Trigonometric ratio of SINE relates opposite and hypotenuse.

Thus we can write and cross multiply and solve:

[tex]sin(A)=\frac{Opposite}{Hypotenuse}\\sin(30)=\frac{x}{15}\\x=15*sin(30)=7.5[/tex]

Now if you see the smallest triangle, [tex]a[/tex] is the adjacent side and [tex]x[/tex] becomes the hypotenuse of this triangle.

Trigonometric ratio of COSINE relates adjacent and hypotenuse.

Thus we can write and cross multiply and solve:

[tex]cos(A)=\frac{Adjacent}{Hypotenuse}\\cos(60)=\frac{a}{7.5}\\a=7.5*cos(60)=3.75[/tex]

Thus [tex]a=3.75[/tex]