What are the solutions to the equations?​

Answer:

[tex]y= -\frac{5}{49}x^{2}+5[/tex]

Step-by-step explanation:

In order to solve this, we need to start by drawing a sketch of what the problem looks like (see attached picture).

From the picture, we can see that the graph of the equation should be a parabola with a vertex located at the point (0,5) and x-intercepts located at (-7,0) and (7,0) respectively.

So, there are two ways in which we can build a quadratic equation:

Standard form:

[tex]y=ax^{2}+bx+c[/tex]

or

Vertex form:

[tex]y=a(x-h)^{2}+k[/tex]

Since we already have the vertex and two points on the equation, we can directly use the vertex form. Where vertex is located at the coordinates (h,k)

So in this case: h=0 and k=5, which simplifies our equation a lot:

[tex]y=a(x-0)^{2}+5[/tex]

[tex]y= ax^{2}+5[/tex]

So we only need to find the value of a for our equation to be complete. We can use either x-intercept to find this. Let's use the point (7,0) so we get:

[tex]0=a(7)^2+5[/tex]

and now we can solve for a:

[tex]-5=49a[/tex]

[tex]a=-\frac{5}{49}[/tex]

so this completes our equation:

[tex]y= -\frac{5}{49}x^{2}+5[/tex]

whose graph looks like the one in the attached picture.

Answer:

Step-by-step explanation:

Hi

Answer:

thanks 4 the points

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

Assuming that the $1 bill was pulled at random, then the expected value of the amount chosen is [tex]\frac{7}{13}[/tex].

Step-by-step explanation:

From the given question, the bag contains;

$1 bill = 7

$5 bill = 1

$10 bill = 3

$20 bill = 2

Total number of bills in the bag = 13

Pulling a bill at random, the bills would have an expected value as follows:

For $1 bill, the expected value = [tex]\frac{7}{13}[/tex]

For $5 bill, expected value = [tex]\frac{1}{13}[/tex]

For $10 bill, expected value = [tex]\frac{3}{13}[/tex]

For $20 bill, the expected value = [tex]\frac{2}{13}[/tex]

Assuming that the $1 bill was pulled at random, then the expected value of the amount chosen is [tex]\frac{7}{13}[/tex].

Answer:

the answer is decreases

Answer:

11x^2 - 16x +4

Step-by-step explanation:

In order to simplify, add like terms

(8x^2-7x+2)+(3x^2-9x-6)

8x^2 + 3x^2 = 11x^2

-7x + -9x = -16x

-6 + 2 = 4

now the equation is 11x^2 - 16x +4

Answer:

48/5

Step-by-step explanation:

Answer: 48/5

9 multiplied by 5 is 45. Add three to get 48

Answer:

74

Step-by-step explanation:

did school asignment

The measurement of ∠ B = 74°

Two Angles are Supplementary when they add up to 180 degrees.

Given that ∠ A and ∠ B are Supplementary and ∠ A = (3x−23),

∠ B = (2x−12)

According to definition of Supplementary,

∠ A + ∠ B = 180°

(3x−23) + (2x−12) = 180°

5x - 35 = 180°

5x = 180° + 35

5x = 215°

x = 43°

Putting x = 43° in  ∠ B = (2x−12)

∠ B = (2*43−12)

∠ B = 86 - 12

∠ B = 74°

Hence, The measurement of ∠ B = 74°

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Answer:

0.66666666666

The percent of interest is he paying is,

⇒ R = 4.62%

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

We have to given that;

Ted is making monthly payments of $77 on a loan of $4,000 for 5 years.

Hence, Yearly payments to pay is,

⇒ 12 × 77

⇒ $924

Hence, We get;

⇒ Interest = PRT/ 100

⇒ 924 = 4000 × R × 5 / 100

⇒ 92400 / 20,000 = R

⇒ R = 4.62%

Thus, The percent of interest is he paying is,

⇒ R = 4.62%

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Answer:

         [tex]5x+20-\left(5x+20\right)=0[/tex]

Step-by-step explanation:

Given that we have to compute the sum of 5x+20 and the opposite.

Given

so

The sum of 5x+20 and the opposite:

5x+20 + -(5x+20)

Distribute the Negative Sign

[tex]=5x+20+-1\left(5x+20\right)[/tex]

[tex]=5x+20+-1\left(5x\right)+\left(-1\right)\left(20\right)[/tex]

[tex]=5x+20+-5x+-20[/tex]

Combine Like Terms

[tex]=5x+20+-5x+-20[/tex]

[tex]=\left(5x+-5x\right)+\left(20+-20\right)[/tex]

[tex]=0+0[/tex]

[tex]=0[/tex]

         [tex]5x+20-\left(5x+20\right)=0[/tex]

Answer:

its either 18.92

or 25.58%

but I believe it is 18.92 I may be wrong though

282

Step-by-step explanation:

C=180-112=68

A=180-68-51=61

sum of exterior angles=112+119+51=282

Answer:

y = 9

Step-by-step explanation:

∆KLH is congruent to ∆FLH by the Hypotenuse-Leg Congruence Theorem.

Therefore,

m<KHL = m<FHL

Thus:

6y = 4y + 18

6y - 4y = 18 (subtraction property of equality)

2y = 18

y = 18/2 (division property of equality)

y = 9

Answer: teeheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

Yo u soooo cool wannaaaaaa be be friends itsa song LOL..........

Answer:

-496

Step-by-step explanation:

minus 5

Answer:

c

Step-by-step explanation:

a. 63(new) - 90(old) =  -27 / 90 = 0.4285*100  = 42.9%

b. 10(new) - 7(old) = 3 / 7 = -0.3*100 = -30 = 30%

c. 28(new) - 12(old) = 14 / 12 = 1.166 * 100 = 116.6%

d. 600(new) - 500(old) = 100 / 500 = 0.2 = 20%

The greatest percentage change will be a bracelet that costs $12 to make and is sold for $28 as 133.33% thus option (C) is correct.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

% change = (change)/original x 100

A): (90 - 63)/90 x 100 = 30%

B): (10 - 7)/10 x 100 = 30%

C); (28 - 12)/12 x 100 = 133.33%

D):(600 - 500)/500 x 100 = 20%

Hence "The greatest percentage change will be a bracelet that costs $12 to make and is sold for $28 as 133.33%".

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Answer:

5x+3y

Step-by-step explanation:

2x+3x=5x since they have the same variable.

y+2y

1y+2y u can put a 1 so that would be 3y

5x+3y

Start by putting a dot at (0,3). Then you just need to go four down and three right from that dot and put another dot. Just repeat that a couple times to make sure it is straight, and connect the dots with a line. You can also go four up and three left from the (0,3) for the other side of the axis.

Step-by-step explanation:

First look at the y-intercept or b (in this case it is 3)

The y-intercept tells us where the line touches in the graph on the Y-axis

(In this case you move up in the Y-axis 3 times)

Put a dot on 3 (in the y-axis)

Now from 3 on the y-axis go down -4 and right 3 since the slope is -4/3

(Slope = rise/run -4 is rise [but since it the 4 is a -4 you go down] and 3 is run)

every time you finish going down -4 and right 3 place a dot on it and repeat if you think you can draw a line then stop and draw the line and you are finished

Answer: (This is in Desmos.com)

Answer:

B 8.42 seconds

Step-by-step explanation:

421 in 50 seconds

421//50

8.42 seconds

Hope this helps!

Answer:

thousands

Step-by-step explanation:

it is in the thousands places

Answer:

D is the correct answer

Step-by-step explanation:

hope it helps

have a great day

:)

Answer:

whaat are you talking about coward

Answer:#1: 1225

#2: 1149

Step-by-step explanation:

Hope this helps! :) ❤❤❤

Answer: The net change to her banking account balance is $83.22.

Step-by-step explanation:

Hi to answer this question we have to analyze the information given:

She spent $36.50 plus 8% tax.  ( to calculate the tax amount we have to multiply the cost by the percentage in decimal form)

36.50 x (8/100) =$2.92 (value of tax)

Adding to the original cost

36.50+2.92 = $39.42

Then, she spent $25 to refuel her car at the gas station.

39.42 +25 = $64.42

She bought groceries worth $23.50. At the grocery checkout, she handed over a coupon for a 20% discount on her purchase

23.50 x (20/100) = 4.7 (amount of discount)

Subtracting to the purchase

23.50 -4.7= $18.8

Finally, adding to the total cost.

64.42 +18.8 = $83.22

Answer:

7x+7 > 23-x

group like terms

7x+ x > 23-7

8x > 16

we divide both side by

8x > 16

8 8

so 8 cancelled out 8 living

x > 16

8

x > 2

8

we

Answer:

√ 42  lies between  6  and  7

Step-by-step explanation:

We know that  √ 42  will lie between  √ 36  and  √ 49

And  √ 36 = 6  ;  √ 49 = 7

Hence we can be sure that  √ 42  lies between 6  and  7

Answer:

x

Step-by-step explanation:

[tex]\huge \bigg( {x}^{ \frac{2}{3} } \bigg) ^{ \frac{3}{2} } \\\\

\huge= {x}^{ \frac{2}{3} \times \frac{3}{2} } \\\\

\huge= {x}^{ \frac{6}{6} } \\\\\huge= x \\ [/tex]

Answer:

give it to me now and then I'll do it

Answer:

Step-by-step explanation: