Write the equation of the line that has a y-value that increases by 4 for every x that increases by 1. It also crosses the y-axis at –2. A. y = 4x – 2 B. y1/4x – 2 C. y = 2x + 1/4D. y = 2x – 4

Answer:

[tex]\boxed{2a+3-b}[/tex]

Step-by-step explanation:

Distributive property:

    ↓

A(B+C)=AB+AC

Remove parenthesis first.

7-(a-b)-4+3a-2b

(-a-b)=-a+b

7-a+b-4+3a-2b

Simplify, to find the answer.

7-a+b-4+3a-2b

Group like terms:

 ↓

-a+3a+b-2b+7-4

Add numbers from left to right.

-a+3a=2a

2a+b-2b+7-4

b-2b=-b

2a-b+7-4

Adding and subtracting numbers from left to right.

7-4=3

2a+3-b

[tex]2a+3-b[/tex], which is our answer.

Answer:

3 +2a -b

Step-by-step explanation:

7-(a-b)-4+(3a-2b)

Distribute the minus

7 -a +b -4 +3a-2b

Combine like terms

7-4  -a +3a +b-2b

3 +2a -b

Answer:

No

Step-by-step explanation:

For a right triangle, a^2+b^2=c^2 EVERY time.

a and b are always smaller than c, so 7 and 12 are a and b, and 17 is c:

7^2+12^2 ?= 17^2

49+144 ?= 289

193 != 289

Therefore, these can't be the set of lengths for a right triangle

Answer:

These set of lengths cannot be the side lengths of a right angled triangle.

Step-by-step explanation:

Pythagoras Theorem is always followed by a right angled triangle. According to which the sum of squares of the two shorter legs is equal to the square of the longest leg.

[tex]a^2=b^2+c^2[/tex]

So here, 17 is the longest leg and 7 and 12 the shorter ones.

Applying Pythagoras Theorem to these lengths to find out.

[tex]17^2=7^2+12^2[/tex]

[tex]289\neq 193[/tex]

Therefore, these set of lengths cannot be the side lengths of a right angled triangle.

Answer:

x >  560

Step-by-step explanation:

0.1x + 0.25(102 - x) < 17.10

simplify

0.1x + 25.5 - 0.25x < 17.10

subtract 25.5 from both sides

0.1x + 25.5 - 25.5 - 0.25x < 17.10 - 25.5

0.1x  - 0.25x < - 84

- 0.15x < - 84

divide both sides by - 0.15

x < -84/-0.15 = 560

When you divide or multiply by a negative, the sign changes

x >  560

Hope this helps!

Please mark as brainliest.

To solve the inequality 0.1x + 0.25(102 - x) < 17.10, distribute, combine like terms, and isolate x to find that the values for x that make the inequality true are x > 56.

To find the values of x that make the inequality 0.1x + 0.25(102 - x) < 17.10 true, we need to solve the inequality. First, we distribute 0.25 to get 0.1x + 25.5 - 0.25x < 17.10. Then, combining like terms gives -0.15x + 25.5 < 17.10. Next, we subtract 25.5 from both sides to get -0.15x < -8.4. Finally, dividing both sides by -0.15 gives x > 56.

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Answer:

3,578

Step-by-step explanation:

Add the two values together.  If the bridge is 1,595 feet long, and if each cable holding that is 1,983 feet longer than the length of the bridge then adding them together is the way to go.

1,595+1,983=3,578

To get the length of each cable, you add the length of the bridge (1,595 feet) to the extra length of each cable (1,983 feet), which results in 3,578 feet.

The problem is asking us to work with addition. The bridge is 1,595 feet long and each cable is 1,983 feet longer than the bridge. To find the length of each cable, we add the length of bridge and the extra length of the cable. That is, we add 1,595 feet (length of bridge) to 1,983 feet (extra length of cable).

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Answer:  3.50x + 4.00y ≤ 45

                0 < y < 11.25

Step-by-step explanation:

[tex]3.50x + 4.00y \leq 45\\\\\\\text{Subtract 3.50x from both sides:}\\4.00y\leq -3.50x+45\\\\\\\text{Divide everything by 4.00 (to isolate y):}\\\dfrac{4.00y}{4.00}\leq \dfrac{-3.50x}{4.00}+\dfrac{45}{4.00}\\\\\\y\leq-0.875x+11.25\\\\\\\text{Both x and y must be greater than zero, so:}\\0<y<11.25[/tex]

Step-by-step explanation:

√a / (√a - 2)

To rationalize the denominator, you need to multiply the fraction by the conjugate:

√a / (√a - 2) × (√a + 2) / (√a + 2)

√a (√a + 2) / ((√a - 2) (√a + 2))

(a + 2√a) / (a - 4)

Answer:

D and E

Step-by-step explanation:

because the rule to make triangle is

a<b+c with a, b and c is the side of the triangle

Answer:

Step-by-step explanation:

I just did it nothing to explain :D

Answer:

9

Step-by-step explanation:

The factors of 9 are: 1, 3, 9

The factors of 45 are: 1, 3, 5, 9, 15, 45

Then the greatest common factor is 9.

The GCF of 45 and 9 is 9.

To find the greatest common factor we need to prime factorize 9 and 45 and then find the product of the factors common between the two. This can be represented mathematically as follows:

[tex]45 = 3 \times 3 \times 5\\9 = 3 \times 3[/tex]

Thus we can see that two pair of 3 are common factors between 9 and 45. Thus the GCF [tex]= 3 \times 3 = 9[/tex]

Therefore, the GCF of 45 and 9 is 9.

Answer:

I b3live it is 50 miles/hour

Step-by-step explanation:

We need to know how many miles he drove from 9:00 to 10:30 so you do 150-75 which is 75. Then, you do 75÷1.5 because 9:00 and 10:30 are an hour and a half apart and then you get 50 mph.

Answer:

5

Step-by-step explanation:

Find the degree of each monomial term of the polynomial. The highest degree is the answer.

deg(3x^4)=4

deg(-4x^3y)=3+1=4

deg(6x^2y^2)=2+2=4

deg(-8x^2y^3)=2+3=5

deg(-7y^4)=4

deg(2)=0

The highest degree there is 5 so that is the degree of the polynomial.

The degree of a polynomial is the highest power of any variable in that polynomial. For the polynomial 3x⁴-4x³y+6x²y²-8x²y³-7y⁴+2, because the highest power is 4, the degree of the polynomial is 4.

The highest exponent of the variable in a polynomial determines its degree. In the provided polynomial, 3x⁴-4x³y+6x²y²-8x²y³-7y⁴+2, the degree of this polynomial is 4 because the highest power of the variable is 4. which can be seen in the terms 3x⁴ and -7y⁴.

It's important to note that while determining the degree of a polynomial, we consider the power (or degree) of individual terms and not their combined power. For example, in the term -4x³y, x has a degree of 3 and y has a degree of 1. The degree of -4x³y will still just be 3 (and not 4) as we only consider the highest degree within that term.

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Answer:

(f - g)(x) = 37 - x

Step-by-step explanation:

(f - g)(x) = (27 +3) - (x - 7)

            = 27 + 3 - x + 7

            = 37 - x

Answer:

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

We have f(x) = 27x + 3 and g(x) = x - 7. Substitute:

(f - g)(x) = (27x + 3) - (x - 7)

(f - g)(x) = 27x + 3 - x - (-7)

(f - g)(x) = 27x + 3 - x + 7             combine like terms

(f - g)(x) = (27x - x) + (3 + 7)

(f - g)(x) = 26x + 10

Answer:

n-8

Step-by-step explanation:

Let

n ----> the number

we know that

To find the difference of a number and 8, subtract  8 from the number

so

n-8

Answer:

Negative Correlation

Explanation:

As the points progress by + x, the general pattern is to decrease in y.

Slope = m = rise/run = x/y

+x/-y = x/-y = -x/y. Negative correlation

Answer:

250 tickets

Step-by-step explanation:

This week, the tickets sold was 300.

The # of tickets sold this week was 120% of last weeks ticket sales.

To find out the number of tickets sold last week, first convert 120% into a decimal.

120% = 1.2

Now, divide 300 [tickets sold this week] by 1.2.

If you do this, you get 250.

That means 250 tickets were sold last week.

To double check our answer, break down 120% again, but this time, differently.

100% + 20% = 120%

100% = 1

20% = 0.2

Now, multiply 250 by 1.

250 x 1 = 250.

Now multiply 250 by 0.2

250 x 0.2 = 50.

250 + 50 = 300

So, the amount of tickets sold last week is 250. I hope this helps! :)

Hello There!

We’re just using addition for this.

Image Attached below.

69y is your Answer

Answer:

7/24

Step-by-step explanation:

7th grade

Boys = 5

Total Students = 5boys + 5 girls = 10 students

Probability of picking a random boy

= 5 boys out of 10 students

= 5/10

8th grade

Boys = 7

Total Students = 7 boys + 5 girls = 12 students

Probability of picking a random boy

= 7 boys out of 12 students

= 7/12

Probability of picking 2 boys

=  [tex]\frac{5}{10}[/tex] x [tex]\frac{7}{12}[/tex]

= [tex]\frac{7}{24}[/tex]

Answer:

all real numbers greater than or equal to -1

Step-by-step explanation:

i j took the test trust me

The range of the function  f(x) = (x − 4)(x − 2)  is  all real numbers greater than or equal to −1 .

The set of all output values of a function. Example: when the function f(x) = x2 is given the values x = {1,2,3,...} then the range is {1,4,9,...}

According to the question

The function f(x) = (x − 4)(x − 2)  

now, we multiply both braces

f(x) = x² - 6x + 8

Now we will plot the graph to  check for lowest point

x                   f(x)

0                    8

-1                    15

1                      3

2                     0

-2                   24

As per graph at x = 3 f(x) is minimum = -1

Therefore ,

Range = [-1,∞)

Hence, the range of the function  f(x) = (x − 4)(x − 2)  is  all real numbers greater than or equal to −1 .

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Answer:

B

Step-by-step explanation:

The difference between each term is six and the numbers are increasing so the only one that is in the correct format, which is an = a1 + (n-1)d, is B

please give Brainliest

The explicit formula for the sequence -9,-3,3,9,15​ is [tex]a_n[/tex] =-9+(n-1)6.

The correct option is (C).

The explicit formula for an arithmetic sequence is an = a + (n - 1)d, and any term of the sequence can be computed, without knowing the other terms of the sequence.

Given sequence:  -9,-3,3,9,15​

As, the given sequence is arithmetic sequence.

So, the difference between two consecutive term is same.

i.e., (-3)-(-9)= -6, 3-(-3)= 6, and so on.

Now, the nth term is = a+(n-1)d

as, a=-9

So, [tex]a_n[/tex]= -9+(n-1)6

          = -9+6n-6

          = 6n-15

Hence, [tex]a_n[/tex] =-9+(n-1)6.

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Answer:

Graph of a solid vertical line 2 units to the right of the origin with everything shaded to the left.

Step-by-step explanation:

The solid line shows it is greater than or equal to. Shade to left of vertical line if less than and right of it if greater than.

Answer:

A graph of a solid vertical line 2 units to the right of the origin with everything shaded to the right.

Step-by-step explanation:

The inequality x≤ 2 means that for any coordinate picked to the left of the line x=2 including 2 satisfies the argument for x. The less than or equal to sign means the value of x is 2 or less.

If for example you pick (2,5) or even (-1,150), the x coordinate satisfies the inequality.

Answer:

12x^2 + 28x = 0

3x^2 + 7x = 0

x(3x+7)=0

x=0 or

3x+7=0

3x= - 7

x= - 7/3

Answer:

4x(3x + 7)

Step-by-step explanation:

Given

12x² + 28x ← factor out 4x from each term

= 4x(3x + 7) ← in factored form

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

[tex]f(x)=3(4)^{x}[/tex]

This is a exponential function of the form

[tex]y=a(b)^{x}[/tex]

where

a is the initial value

b is the base

Remember that

The initial value is the value of the function when the value of x is equal to zero (y-intercept of the function)

In this problem

The y-intercept is the point (0,3)

therefore

using a graphing tool

The initial step is plot the point (0,3)

see the attached figure

Answer:

Step-by-step explanation:

Distribute...

6x^2-3x-6x+3

6x^2-9x+3 is the expanded equation

The solution....

(3x-3)=0

(2x-1)=0

3x=3

2x=1

x=1

x=1/2

Answer:

35

Step-by-step explanation:

I multiply 3 and 7 that give 35

Answer:

Step-by-step explanation:

The area of a pentagon given the radius is

Area = (5/2)r^2 * sin(72º)

r = 7

Area = (5/2)*7^2 * sin(72)

Area = 122.5 * 0.95106

Area = 116.5

=============

r = 5

Area = (5/2) * 5^2 * sin(72)

Area = 59.4

Area of the shaded area = 116.5 - 59.4

Area of the shaded area = 57.1

Answer:

Maybe 13

Step-by-step explanation:

Im not sure from the answer

Answer:

B

Step-by-step explanation:

Use the distance formula, that is

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = A(- 3, - 2) and (x₂, y₂ ) = (0, 0)

d = [tex]\sqrt{(0+3)^2+(0+2)^2}[/tex]

  = [tex]\sqrt{3^2+2^2}[/tex] = [tex]\sqrt{9+4}[/tex] = [tex]\sqrt{13}[/tex]

Same side interior angles are supplementary, which means together they add up to 180 degrees.

In order to find the value of angle m, subtract 180 from the supplement.

180 - 78 = 102

The value of m is 102 degrees

Answer:

C.m=102

Step-by-step explanation:

The two angles are alternate interior angle, those angles add up to 180, 180-78=102. The answer is c

Answer:

$1575

Step-by-step explanation:

If I bet $25 (And I win, of course!), I will win:

If I win $63 per every $1 bet, then:

63/1 = x/25 ⇒ Solving for 'x':

63*25 = $1575

Finally, if you bet $25 you will win $1575!

Answer:

The correct answer is C.

Step-by-step explanation:

When you multiply a real function by -1 you only change its sign in all the domain of definition. The positive part becomes negative, and the negative values becomes positive and the zeros are unaltered. So, it is no difficult to see that the multiplication by -1 is equivalent to make a reflection with respect to the x - axis.

Answer:

The answer is 16.

Step-by-step explanation:

In this expression 4-2/2^-3, first of all we will solve the numerator.

Subtract 4 and 2

4-2= 2

So, the expression will become 2/2^-3

Now notice that the numerator has the base 2 and exponent 1 where as the denominator has the base 2 and exponent -3. Both the numerator and denominator have the same base

So we will use the property a^m/a^n=a^m-n.

=2/2^-3

=2^1-(-3)

=2^1+3

=2^4

2^4 means that 2 will be multiplied 4 times.

=2*2*2*2

=16

Thus the answer is 16....