a college student is saving money to buy a laptop. the student has $85 saved and saves $35 each week. The function a(t)=35t + 85 represents the amount of money the college student has saved for the laptop after t weeks. The student receives $50 as a birthday gift .
If the function f(t) = a(t) +50 represents the total amount the student has saved , which best describes the transformation from a(t) to f(t)?

Answer:

×=3×+y=27

Step-by-step explanation:

the variables are not the same so you cant do anything

Answer:

X   Y      (X,Y)

0 -27     (0,-27)

4 -39     (4,-39)

-9 0       (-9,0)

Answer:

7.5+7.t

and

(5+t).7

are equivalent to 7(t+5)

Option D and E are equivalent to 7(t + 5) That is :

(5 + t) • 7 and 5(t + 7)

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

The given equation is :

7(t + 5)

7(t+5) multiply 7 with inside the parenthesis

7(t+5) = 7t + 7x5

this result is equivalent to option D and E which will give the same result.

Therefore, Option D and E are equivalent to 7(t + 5).

Read more about expressions at :

https://brainly.com/question/12030750

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Hey there!

56/3 + 7

= 56/3 + 7/1

= 56/3 + 21/3

= 56 + 21/ 3 + 0

= 56 + 21/3

= 77/3

≈ 25 2/3

≈ 25.666667

Therefore, your answer is: [77/3] which is approximately [25.666667]

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

  A) The model exists: f(x) = -3x^2 +4x -4

Step-by-step explanation:

A quadratic model will always exist for 3 given points, provided they are not on a line. In that case, a linear model is appropriate.

Here, the slope between -1 and 0 is positive, and the slope between 0 and 3 is negative. Thus, we know these points are not collinear, and a model must exist.

The model is most easily found using a quadratic regression tool. Such is shown in the attachment. It tells us that ...

  f(x) = -3x^2 +4x -4

[tex](x-2)(5x+6)\\\\=x(5x+6) -2(5x+6)\\\\= 5x^2 +6x -10x -12 \\\\=5x^2 -4x-12[/tex]

5x-10x+6x-12

-`9x-12

i believe so

Answer:

.65

Step-by-step explanation:

Answer:

the answer is 12 feet

Step-by-step explanation:

Answer:

c=38

Step-by-step explanation:

Answer:

c = 38

Step-by-step explanation:

The number of vanilla cupcakes that Nina took to school is; 15 vanilla cupcakes

We are given;

Number of cake Nina bought for her friends = 25 cupcakes

There are two flavors namely chocolate and vanilla.

Now, we are told that for every 2 chocolate cupcakes she bought, she bought 3 vanilla cupcakes. Thus;

Fraction of chocolate cupcakes of the total = 2/(2 + 3) = 2/5

Fraction of vanilla cupcakes of the total = 3/5

Thus;

Number of the chocolate cupcakes she bought = 2/5 × 25 = 10 chocolate cupcakes

Number of the vanilla cupcakes she bought = 3/5 × 25 = 15 vanilla cupcakes

Read more at; https://brainly.com/question/14777115

Answer:

2 parks

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

There would be 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20

Answer:

17/18

Step-by-step explanation:

total number of outcomes=6×6=36

favorable outcomes for a total of 11=56,65

number of favorable items for a total of 11=2

P(a total of 11)=2/36=1/18

P(for a total other than 11=1-1/18=(18-1)/(18)=17/18

Answer:

False.

Step-by-step explanation:

The sides of a triangle rule asserts that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side. However, 8+6=14 is less than 15. Hence, the triangle cannot be formed.

Answer:

364 pavers are needed.

Step-by-step explanation:

6 x 10= 60

21840/60= 364

Answer:

It would be 41+66x

Step-by-step explanation:

Answer:

Slope intercept form is y = x - 6 (you don't write 1 in front of x in this case btw)

Slope = 1

Y-intercept = -6

Step-by-step explanation:

Slope intercept form looks like this y=mx+b, where m is slope and b is y-intercept.

To find slope, we will do y2 - y1 over x2 - x1.

This is how coordinates are written btw (x,y)

So we will do:

-2 - (-9) = -2 + 9 = 7

4 - (-3) = 4 + 3 = 7

Since 7/7 is the same as 7÷7, the slope is going to be 1. (It's also a positive slope btw)

Now, in order to find what the y-intercept is, you should use the point slope formula⤵⤵⤵:

[tex]y - y _{1} = m(x - x _{1})[/tex]

We'll use point (4,-2) for this:

y + 2 = 1 (x - 4)

Now we solve:

Distribute the 1 among everything inside the parenthesis to get y + 2 = x - 4, then subtract 2 on both sides to get y = x - 6.

Hope this helps :)

Step-by-step explanation:

given points,

(0,-5) and (2,5)

we know,

slope = y2 - y1 / x2 - x1

→ 5 - (-5) / 2 - 0

→ 5+5/2 = 10/2

→ 5

therefore, slope of the line is 5.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

We can write the domain and range in interval notation, which uses values within brackets to describe a set of numbers. In interval notation, we use a square bracket [ when the set includes the endpoint and a parenthesis ( to indicate that the endpoint is either not included or the interval is unbounded.

Answer:

No, 29 is prime

Step-by-step explanation:

Answer:

A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)

Step-by-step explanation:

A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)

we know A is 45% salt, so the amount of salt in A is (45/100)*A or 0.45A.

likewise we know that B is 95% salt, so the salt amount in it is (95/100)*B or 0.95B.

[tex]\begin{array}{lcccl} &\stackrel{solution}{quantity}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{oz of }}{amount}\\ \cline{2-4}&\\ A&x&0.45&0.45x\\ B&y&0.95&0.95y\\ \cline{2-4}&\\ mixture&60&0.85&51 \end{array}~\hfill \begin{cases} x+y=60\\ 0.45x+0.95y=51\\[-0.5em] \hrulefill\\ y = 60 -x \end{cases}[/tex]

[tex]\stackrel{\textit{substituting on the 2nd equation}}{0.45x+0.95(60-x) = 51}\implies 0.45x+57-0.95x=51 \\\\\\ 0.45x-0.95x=-6\implies -0.5x=-6\implies x = \cfrac{-6}{-0.5} \\\\\\ \boxed{x = 12}~\hfill \stackrel{\textit{we know that}}{y = 60 -x}\implies \boxed{y=48}[/tex]

Answer:

The c will equal 2.56

Step-by-step explanation:

The A will equal 42.48 degrees

The B will equal 96.92 degrees

Answer:

(-4;5)

Step-by-step explanation:

Replace x and y by each of the possible solution until the equation is true. here it is true for (-4 ; 5), because:

3 * (-4) - 2 * 5 = -12 - 10 = -22

Answer:

-37

Step-by-step explanation:

The answer is -37

Hope this is the answer u needed have a great rest of ur day

Answer:

the answer is -37

Step-by-step explanation:

hope this helps have a good rest of your night :)❤

Answer:

The number is 2

Step-by-step explanation:

(22+2)/2=12

6*2=12

May you please give brainliest?

Answer:

Step-by-step explanation:

As the number under the exponent is less than 1, this is a decay function.

y decreases by (1 - 0.97)100 = 3% for each unit increase in x

so the increase would be -3%

Answer:

109r6

Step-by-step explanationi got it

Answer: B

Step-by-step explanation: the pic shows this