can someone help me with this

Answer:

Other root of equation, [tex]\frac{8}{3}[/tex]

Value of ([tex]b[/tex]), [tex]-17[/tex]

Step-by-step explanation:

The given quadratic equation is in standard form. Standard form is the basic format of representing a quadratic equation, a quadratic equation in standard form would use the following format,

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

To solve this problem, one could use Vieta's theorems. Vieta's theorems state the following, let ([tex]x_1[/tex]) and ([tex]x_2[/tex]) represent the roots of the equation,

[tex](x_1)+(x_2)=-\frac{b}{a}[/tex]

[tex](x_1)(x_2)=\frac{c}{a}[/tex]

Substitute the given values into the equation,

[tex]3+(x_2)=-\frac{b}{3}[/tex]

[tex](3)(x_2)=\frac{24}{3}[/tex]

Simplify,

[tex](3)+(x_2)=-\frac{b}{3}[/tex]

[tex](3)(x_2)=8[/tex]

Inverse operations,

[tex](3)+(x_2)=-\frac{b}{3}[/tex]

[tex]x_2=\frac{8}{3}[/tex]

Substitute in the value of ([tex]x_2[/tex]),

[tex](3)+(\frac{8}{3})=-\frac{b}{3}[/tex]

Simplify, convert to improper fractions and combine like terms,

[tex]\frac{9}{3}+\frac{8}{3}=-\frac{b}{3}[/tex]

[tex]\frac{17}{3}=-\frac{b}{3}[/tex]

Multiply both sides of the equation by ([tex]3[/tex]) to remove the denominator,

[tex]17=-b[/tex]

Answer:

slope = [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 0 ) and (x₂, y₂ ) = (2, 4) ← 2 points on the line

m = [tex]\frac{4-0}{2-(-3)}[/tex] = [tex]\frac{4}{5}[/tex]

9514 1404 393

Explanation:

Linear trend

A linear trend is one that is best approximated by a straight line. Sometimes we use a straight-line approximation, even when it may not be a very good fit, because we are only interested in the sign of the slope, or its approximate magnitude. The parameters of a linear trend are about the easiest to calculate (though it doesn't matter much if an appropriate tool is used).

__

Non-linear trend

A non-linear trend is one that is best approximated by a curve other than a straight line. Trig functions (sine, cosine), exponential functions, quadratic functions are often used. Non-linear trends are not restricted to these kinds of functions.

Answer:

x = 35.5

Step-by-step explanation:

cos 65° = 15/x

cos 65° · x = 15

x = 15/cos 65°

x = 35.5

Answer:

8 blocks

Step-by-step explanation:

As the north direction is upwards and the south direction is downwards the total distance between the two people 's (Megan and Jake)  houses will be obtained by adding their distances from the library which is in the middle as shown in the diagram.

Hence total distance between the two houses= 3.5 + 4.5= 8 blocks

Jake and Meagan live 8 blocks apart.

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 27

Explanation:

(3x2) + 5^2 - 8 / 2 = 27

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

The person above is correct B)y=2(x+7/2)²+1/2

Step-by-step explanation:

y = 2 (x + seven-halves) squared plus one-fourth equation is y = (x + 3)² + (x + 4)² rewritten in vertex form.

If the vertex is (a, b), then the vertex form of an equation can be written as y = p(x-a)² + b, p is a constant.

Here, y = (x + 3)² + (x + 4)²

i.e. y = x² + 6x + 9 + x² + 8x + 16

i.e. y = 2x² + 14x + 25

i.e. y = 2x² + 2*2*(7/2)x + (7/2)² - (7/2)² + 25

i.e. y = 2(x + 7/2)² + 25/2 - 49/4

i.e. y = 2(x + 7/2)² + (50 - 49)/4

i.e. y = 2(x + 7/2)² + 1/4

Therefore, y = 2 (x + seven-halves) squared plus one-fourth equation is y = (x + 3)² + (x + 4)² rewritten in vertex form.

So, no option is correct.

Learn more about vertex form here -

https://brainly.com/question/27614899

#SPJ2

Answer:

y=5.72

Step-by-step explanation:

Let's solve your equation step-by-step.

y−1.02=4.7

Step 1: Add 1.02 to both sides.

y−1.02+1.02=4.7+1.02

y=5.72

Answer: y=5.72

Step-by-step explanation:

4.7 plus 1.02 equals 5.72

5.72 minus 1.02 equals 4.7

Answer:

67 centimetres

Step-by-step explanation:

44+23=67

44cm= already

1cm= every month

Answer:

The angle between the ramp and the horizontal is 11.54 degrees

Step-by-step explanation:

Here, we want to get the angle between the ramp and the horizontal

What we have to do here is to bring the measure of 2 m near to the edge leftwards, so we can have a right triangle

Now, the angle we want to calculate is the angle that faces the measure 2 m

The given measure of 10 m will represent the hypotenuse of the right triangle

The trigonometric ratio that links the hypotenuse and the opposite is the sine

The sine is the ratio of the opposite to the hypotenuse

Thus, we have it that;

sin theta = opp/hyp

sin theta = 2/10

sin theta = 0.2

theta = sin^-1 0.2

theta = 11.54

Answer:

4

Step-by-step explanation:

This is a pair of special right triangles

in RST its 30-60-90 triangle

It's RT will be 4

then in triangle RQT it is 45-45-90 triangle

It's two sides are always equal so RQ = 4 as well

Answer:

Answer is 980.

Step-by-step explanation:

First what you should do it figure out 14^2 which is 196 then you times that by 5 which gets you 980. Hope this helps.

Answer:

The answer is 980.

Step-by-step explanation: to follow pemdas you first start with the exponents for there are no parenthesis. So to do this 14^2 is just 14x14 with is 196. Then you take that and multiply it by the 5 to get your end product. 196x5=980.

Hope this helps.

Answer:

6.2 feet

Step-by-step explanation:

we can determine the radius from the volume of the hot tub

volume of a sphere = (4/3) x (n) x (r^3)

n = 22/7

r = radius

1000 = (4/3) x (22/7) x r^3

divide both sides of the equation by  (4/3) x (22/7)

238.636 = r^3

find the cube root of both sides

r = 6.20 feet

Answer:

G(-4,6)

Step-by-step explanation:

Here, we want to write a translation

moving left means we are to subtract the number of units from the original

So we have this as -4

Moving up means we are to add the number of units to the original

So we have this as +6 = + 6 units

So the answer here will be;

(-4,6)

G.  (-4, 6).

Given translation is 4 units left and 6 units up.

For left we use negative sign. And for up was use plus sign.

So the translation vector is (-4, 6).

Find out more information about the translation here: https://brainly.com/question/12861087

Answer:

1: 3 dimes & 8 nickles

2: 17 & 8

3: can't do 3, i'm sorry but you have to do it

4: y = 2x+2     y = -1/3x + 6

5: no bc the only part of the system that that point is on is the first equation, 2x-y=1.

have a nice day :)

Answer:

1.  True.

2. True.

3. True.

4. False.

5. True.

Answer:

1/6

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

The product of 6 and 2 is twelve and if you divide 24 by 12 the answer is 2

or

6 x 2 = 12  

24 ÷ 12 = 2

answer: 2

Answer:

I think we need a graph to figure out this problem; the points need to be graphed. Otherwise, I do understand!

Answer:

c

Step-by-step explanation:

count

Answer:

C

Step-by-step explanation:

Answer:

x = -70

Step-by-step explanation:

-x/10 = 7

=> -x = 7 x 10

=> -x = 70

=> x = -70

Answer:

7.5 i belive

Step-by-step explanation:

area= lenghthx width thats the formula 3mm converted is 3 cm 3cmx2.5=7.5

Answer:

The answer is "[tex]r=0.175 \ ft[/tex]"

Step-by-step explanation:

using formula:

[tex]\to \text{profit = revenue-cost}[/tex]

[tex]\to revenue = 70 \times 4\pi r^2 = 280\pi r^2\\\\\to cost = 800 \times \frac{4}{3} \pi r^3 = \frac{3200}{3} \pi r^3[/tex]

so,

[tex]\to profit (p)= 280\pi r^2 - \frac{3200}{3} \pi r^3\\\\\text{max profit when}\\\\\to 560 \pi r-3200 \pi r^2=0[/tex]

[tex]\to \pi r(560 -3200r)=0\\\\ \to (560 -3200r)=0\\\\\to 3200r=560\\\\\to r=\frac{560}{3200}\\\\\to r=\frac{56}{320}\\\\\to r=\frac{7}{40}\\\\\to r=0.175 \ ft[/tex]  

Answer:

[tex]factor \: of \: 6 \\ is \: 6 \\ \\ then \: having \: the \: sum \: 6 + 7 = 13 \: \\ \\ \\ \\ \\ \\ hence \: 13is \: answer[/tex]

Answer:

I believe your answer is 6 and 1 because 6x1=66+1=7

Step-by-step explanation:

May I pls have a brainley

Answer:

see in the picture, we have: y = 6 + x

=> x = y - 6

because KB//PA, using Thales Theorem, we have:

[tex] \frac{ok}{op} = \frac{kb}{pa} \\ \\ = > \frac{x}{y} = \frac{5}{8} \\ \\ < = > \frac{y - 6}{y} = \frac{5}{8} \\ \\ < = > 5y = 8(y - 6) \\ \\ < = > 5y = 8y - 48\\ \\ < = > 3y = 48 \\ \\ = > y = 16[/tex]

because OP = y => OP = 16

Answer:

solution given:

principal [P]=$850

time[T]=8years

rate[R]=8%

now

simple interest [S.I.]=[tex] \frac{P×T×R}{100}[/tex] =$ [tex] \frac{850×8×8}{100}[/tex] =$544

so

Total balance=S.I.+P=$544+$850=$1394.

option b.$1,394.00 is your answer

Answer:

56.54 will be the circumference if 9 is the radius......

Hope it helps!!!

Answer:

about 236.715 ft²

Step-by-step explanation:

area of a circle = πr²

so π7.5² = 176.7145868

area of a rectangle is b × h

so 15 × 4 = 60

60 +  176.7145868 = 236.7145868 ft² ≈ 236.715 ft² (for the nearest thousandths)