Is (–96, 0) a solution to the equation y = –301x + –96?

Answer:

38 cm²

Step-by-step explanation:

Given that,

→ Length (l) = 4 cm

→ Breadth (b) = 3 cm

→ Height (h) = 1 cm

Formula we use,

→ 2(lb + bh + lh)

The surface area of cuboid will be,

→ 2(lb + bh + lh)

→ 2{(4 × 3) + (3 × 1) + (4 × 1)}

→ 2(12 + 3 + 4)

→ 2 × 19

→ [ 38 cm² ]

Hence, the surface area is 38 cm².

X=−3

=−11

herw you go answer

Answer:

what are the numbers

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Same as last. multiple 8 into the entire equation.

Answer:

-80x+28y-56

4(-20x+7y-14)

Step-by-step explanation:

The number of prime factors of 3×5×7+7 is 3.

To find the number of prime factors, we need to calculate the given expression:

3×5×7+7 = 105+7 = 112.

The number 112 can be factored as 2^4 × 7.

In the first step, we factor out the common prime factor of 7 from both terms in the expression. This gives us 7(3×5+1). Next, we simplify the expression within the parentheses to get 7(15+1). This further simplifies to 7×16 = 112.

So, the prime factorization of 112 is 2^4 × 7. The prime factors are 2 and 7. Therefore, the number of prime factors of 3×5×7+7 is 3.

In summary, the expression 3×5×7+7 simplifies to 112, which has three prime factors: 2, 2, and 7. The factor of 2 appears four times in the prime factorization, but we count each unique prime factor only once. Thus, the number of prime factors is 3.

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Answer:

\(V=4x^3-30x^2+54x\)

Step-by-step explanation:

From the question we are told that

Breath of cardboard h=6

Length of cardboard l=9

Let x be the height when fold

Generally the new rectangle is  mathematically given as

Breath \(h'=(6-2x)\)

Length \(l'=(9-2x)\)

Generally the Volume of tray is mathematically given as

\(V=L*B*H\)

\(V=(9-2x)*6-2x*x\)

\(V=x(4x^2-30x+54)\)

\(V=4x^3-30x^2+54x\)

the first one

100x² + 20x +1

its a factor of different 2 squares

(10x - 1 )²

Answer:

  (c)  144x² -49y²

Step-by-step explanation:

In order for the pattern for factoring the difference of squares to apply, the expression must be a binomial whose terms are squares and whose value is their difference.

A. 100x² +20x +1 = (10x +1)² . . . . . it is a square, not the difference of squares

B. x² +4x -12 = (x² +4x +4) -16 = (x +2)² -4² . . . . can be written as the difference of squares (see comment below)

C. 144x² -49y² = (12x)² -(7y)² . . . . the difference of squares

D. 14x -16 = 14x -4² . . . . first term is not a square.

The answer choice that matches the pattern "difference of squares" is ...

  144x² -49y²

__

Additional comment

Virtually any quadratic that is not a perfect square can be written in a way that would allow it to be factored as the difference of squares. (This is what we do when we "complete the square.) Answer choice B is an example of this. If the "difference of squares" factoring were expanded in that case, it would look like ...

  = (x+2 +4)(x+2 -4) = (x +6)(x -2)

This doesn't really match the pattern (a +b)(a -b), so the trinomial given in the answer choice is not really a candidate for factoring using the difference of squares pattern for a binomial.

Answer:

A)6, 2, -2,-6

Step-by-step explanation:

a(n) = a +(n-1)d

a(n) = a +dn-d

a(n) = a-d + dn

a(n) = 10 - 4n

So d=-4

to get a: (a-d)=10

             a=10-4=6

The first four  terms:

a(1) = 6 +(1-1)-4=6

a(2) = 6 +(2-1)-4=2

a(3) = 6 +(3-1)-4=-2

a(4) = 6 +(4-1)-4=-6

it will be A

hope this helps

Answer:

The answer is 72

Step-by-step explanation:

Answer:

can you repost this so I can help you because It's hard to read that

Step-by-step explanation:

have a great day

Answer

The average for the next test would be 60

Step-by-step explanation:

50+50+50+50+100= 300

then divide by 5 students

300/5 = 60

Answer:

50

Step-by-step explanation:

she would have a 50 percent chanse of wining cause its like division so 4 divided by 20 is 50 unless i am wrong whoever can write the right answer.

Answer:

fhxhfbccbbn

cfhjhkj

ffuhhoh

Answer:

Simplifying

12x + 2y = 18

Solving

12x + 2y = 18

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.

12x + 2y + -2y = 18 + -2y

Combine like terms: 2y + -2y = 0

12x + 0 = 18 + -2y

12x = 18 + -2y

Divide each side by '12'.

x = 1.5 + -0.1666666667y

Simplifying

x = 1.5 + -0.1666666667y

Answer:

Hi

Step-by-step explanation:

First, you need to subtract both sides by 12x

12x+ 2y=18

-12x         -12x

That will give you: 2y= 18-12x

Next, you need to deviede both sides by 2

2y/2= 18-12x/2

That gives you the answer:

y= 18-6x

(im not 100%  sure but i think this is right, feel free to correct me)

Answer: $12,000

Step-by-step explanation:

Step 1: Calculate the discount amount

To find out how much John saved with a 20% discount, we need to multiply the original price of the car by the discount percentage as a decimal:

\(\large \textsf{Discount amount = 0.20 $\times$ \$15,000}\\ \\ \textsf{Discount amount = \$3,000}\)

Step 2: Calculate the new price after the discount

To find out how much John had to pay after the discount, we need to subtract the discount amount from the original price:

\(\large \textsf{New Price = Original Price - Discount Amount}\\ \\\textsf{New Price = \$15,000 - \$3,000}\\ \\\textsf{New Price = \$12,000}\)

Therefore, John had to pay $12,000 after getting a 20% discount on a car that originally cost $15,000.

________________________________________________________

We can check this by calculating the percentage of the new price compared to the original price:

\(\large\boxed{\begin{minipage}{8.5 cm}Percentage change = $\frac{\textsf{(Original Price - New Price}}{\textsf{Original Price}}$ $\times$ 100 \\ \\Percentage change = $\frac{\textsf{15000 - 12000}}{\textsf{15000}}$ $\times$ 100 \\ \\Percentage change = 0.20 $\times$ 100 \\ \\Percentage change = 20\%\end{minipage}}\)

This shows that the new price of $12,000 is 20% less than the original price of $15,000, confirming the discount amount.

________________________________________________________

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Answer:

L = 2.25 feet.

Step-by-step explanation:

My work is shown in the attached image! Let me know if there are any errors or if you have any questions. Best wishes.

Answer:

114.666666666666667

Step-by-step explanation:

Answer:

6.0

Step-by-step explanation:

20% of 5 is 1, so you simply add 1 to 5 and you get this result:

5 + 1 = 6

Hope this helps

Answer:  x=3

sorry i dont have anywork but i know its correct :)

To find the least possible value of a/b + c, we need to consider the smallest values for a, b, and c from the set {3, 5, 7, 9}. So the least possible value of a/b + c is expressed as the fraction 16/3.

The smallest number in the set is 3. For a fraction to be as small as possible, we want the numerator to be as small as possible and the denominator to be as large as possible.

Thus, we choose a = 3.

Next, we want the denominator b to be as large as possible. From the set {3, 5, 7, 9}, the largest value is 9. Finally, for the remaining number c, we choose the next smallest number, which is 5.

Now we can calculate the expression: a/b + c = 3/9 + 5 = 1/3 + 5 = 1/3 + 15/3 = 16/3. Therefore, the least possible value of a/b + c is expressed as the fraction 16/3.

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Answer

The equation of the quadratic function that passes through (0, 1) and has a vertex at (1,4) is

y = -3x² + 6x + 1

Explanation

The general form of a quadratic equation is

y = ax² + bx + c

We are told that the function passes through (0, 1) and has its vertex (the highest or lowest point on the graph) at (1, 4).

We can obtain simultaneous equations by substituting these into the general form of a quadratic equation.

(0, 1)

when x = 0, y = 1

y = ax² + bx + c

1 = a(0²) + b(0) + c

1 = 0 + 0 + c

c = 1 ...... equation 1

(1, 4)

y = ax² + bx + c

4 = a(1²) + b(1) + c

4 = a + b + c

But c = 1, So

4 = a + b + 1

a + b = 4 - 1

a + b = 3 ....... equation 2

Then, the third one, at the vertex, the first derivative of the function is 0.

y = ax² + bx + c

(dy/dx) = 2ax + b = 0

At this point, x = 1

2ax + b = 0

2a(1) + b = 0

2a + b = 0 ...... equation 3

Writing these equations together

c = 1

a + b = 3

2a + b = 0

From equation 3, b= -2a

Substituting this into equation 2

a + b = 3

a - 2a = 3

-a = 3

a = -3

b = -2a = -2 (-3) = 6

So,

a = -3

b = 6

c = 1

y = -3x² + 6x + 1

Hope this Helps!!!

Answer:

4 Shirts

Step-by-step explanation:

Answer:

Bradley  can buy 4 t-shirts.

-------------------------------------------------------------------------------------------------------------- WORK~

110-49= 61

$61.00

61 divided by 13 equals 4.69230769231

He can't buy half a shirt so he can buy 4 shirts without going over budget.

Step-by-step explanation:

      May I have brainiest lease I'm trying to level up!

                             </3 PureBeauty

Answer:

its 8 units long

Step-by-step explanation:

since x is the same we dont have to do much since its a straight line up and down

find the difference in the ys

-11 - -3 = -8

8 units long

hope this helps <3

The number of arrangements of letters in REPETITION with the first E occurring before the first T is 362,880 - 40,320 = 322,560

To find the number of arrangements of letters in the word REPETITION where the first E occurs before the first T, we can approach the problem by breaking it down into simpler steps.

Step 1: We need to determine the total number of arrangements of the letters in REPETITION. Since there are 9 letters in the word, the total number of arrangements can be calculated using the formula for permutations of n objects taken r at a time, which is n!/(n-r)!. In this case, we have n=9 and r=9, so the total number of arrangements is 9! = 362,880.

Step 2: We need to count the number of arrangements where the first E occurs before the first T. To do this, we can first fix the positions of the first E and T in the word. There are 9 possible positions for the first letter, 8 remaining positions for the second letter, and so on, down to 1 possible position for the ninth letter. This gives us a total of 9x8x7x6x5x4x3x2x1 = 362,880 possible arrangements of the letters in REPETITION.

However, we want to exclude the arrangements where the first T appears before the first E. To do this, we can fix the position of the first T and count the number of arrangements of the remaining letters. There are 8 possible positions for the first T, and then 7 remaining positions for the second letter, and so on, down to 1 possible position for the eighth letter. This gives us a total of 8x7x6x5x4x3x2x1 = 40,320 arrangements where the first T appears before the first E.

Therefore, the number of arrangements of letters in REPETITION with the first E occurring before the first T is 362,880 - 40,320 = 322,560.

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The value of a correlation coefficient that represents the strongest linear relationship between two quantities is A. - 0. 9874.

A correlation coefficient is a statistical measure that describes the strength and direction of a relationship between two variables. The correlation coefficient ranges from -1 to 1, where:

The correlation coefficient that shows the strongest linear relationship between the variables is therefore - 0. 9874.

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Answer:$4449.6.

Step-by-step explanation:

You deposit $2700 into a bank account paying 64.8% simple interest per year. You left the money in for 1 year. Find the interest earned and the amount at the end of those 1 year?

Result:

The interest is $1749.6 and the amount is $4449.6.

Explanation:

STEP 1: Find an interest by using the formula , where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.

In this examplee P = $2700, i = 64.8% and t = 1 years, so

STEP 2: Find an amount by using the formula .A =P+I

Since P = $2700 and I = $1749.6 we have