Please help
solve the system of equations

Please Helpsolve The System Of Equations

Answers

Answer 1

Answer:

(x, y) = ( 5, 6)

(x, y) = ( - 1, 0)

Step-by-step explanation:

[tex] \begin{cases} y + x^2 - 5x = 6\\\\ y - x = 1\implies y = x + 1\end{cases} [/tex]

Plug [tex] y = x +1 [/tex] in the equation [tex] y + x^2 - 5x = 6[/tex] we find:

[tex] x + 1 + x^2 - 5x = 6[/tex]

[tex] x^2 - 4x - 5=0[/tex]

[tex] x^2 - 5x +x- 5=0[/tex]

[tex] x(x - 5) +1(x- 5)=0[/tex]

[tex] (x - 5) (x+1)=0[/tex]

[tex] (x - 5) =0, \: (x+1)=0[/tex]

[tex] x =5, \: x=-1[/tex]

[tex] When \:x =5 \implies y =5+1=6 [/tex]

(x, y) = ( 5, 6)

[tex] When \:x =-1 \implies y =-1+1=0 [/tex]

(x, y) = ( - 1, 0)


Related Questions

PLZ HELP NOW IM FAILING

Answers

Answer:

1.b

2.c

Step-by-step explanation:

f(x)+g(x)

3x-2+6-4x

-x+4

4-x. addition is commutative

3x²*4x/(3x2*2x)

2

Answer:

first one is B

second one is c

Step-by-step explanation:

A pizza has a radius of 13.5 centimeters. What is the CIRCUMFERENCE of the pizza? Use 3.14 for pi. Round to the nearest tenth

Answers

Answer:

The circumference is:

[tex]C=84.8\: cm[/tex]

Step-by-step explanation:

The pizza is a circle, so the circumference equation is given by:

[tex]C=2\pi R[/tex]

Where:

R is the radius of the circumference.pi is 3.14

Therefore, the circumference is:

[tex]C=2\pi*13.5[/tex]

[tex]C=84.8\: cm[/tex]

I hope it helps you!

how do you find the value of x

Answers

Answer:

To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Step-by-step explanation:

isnt the x a 90 degree angle?

45+45+x =180
(Because all triangles have a sum of 180)
90+x=180
Subtract 90 from both sides
X=90

CHECK
45+45+90= 180

The length of the legs of a 45-45-90 Special Right Triangle are 5 inches. How long is the hypotenuse of the triangle?

Question 1 options:

15 inches

5√3– inches

5√2– inches

10 inches

Answers

Answer:

[tex]5\sqrt{2}[/tex]

Quiz results:

The length of the hypotenuse of a 45-45-90 Special Right Triangle is given by: Option C: 5√2 inches

What is Pythagoras Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

For this case, we're specified that:

The triangle is 45-45-90 Special Right Triangle,that means, two of its angles are of 45 degrees and one is of 90 degrees.The legs of the triangle (non-slant side, the sides which are perpendicular to each other) are of 5 inches length.

Thus, as shown in the diagram, the hypotenuse is AC.

Its length is found using the Pythagoras theorem as:

[tex]|AC|^2 = |AB|^2 + |BC|^2\\\\|AC|^2 = 5^2 + 5^2 = 25 + 25 = 50\\\\\text{Taking roots, but positive as AC is length, a non-negative quantity}\\\\|AC| = \sqrt{50} = \sqrt{25 \times 2} = \sqrt{5^2 \times 2} = 5\sqrt{2} \: \rm inches[/tex]

Thus, the length of the hypotenuse of a 45-45-90 Special Right Triangle is given by: Option C: 5√2 inches

Learn more about Pythagoras theorem here:

https://brainly.com/question/12105522

The width of a rectangle is 1 units less than the length. The area of the rectangle is 30
units. What is the length, in units, of the rectangle?

Answers

Answer:

width is 5, length is 6

Step-by-step explanation:

5x6=30

If a cone has a height of 8 inches and a side measurement of 10 inches, what is the radius of its base?

Answers

Answer:

r = 6 inch

Step-by-step explanation:

Given that,

The height of a cone, h =8 inches

The slant height of the cone, l = 10 inches

We need to find the radius of the base. The relation between height, radius and the slant height of the cone is given by :

[tex]r=\sqrt{l^2-h^2} \\\\r=\sqrt{10^2+8^2} \\\\r=6\ inch[/tex]

So, the radius of its base is equal to 6 inches.

topic integers
please solve this question
urgent

Answers

Given:

i) 3, -5, -2, 1

ii) -1, -8, -7, -2

iii) -2, -4, 0, 2

To find:

increasing order of the given numbers.

Solution:

Increasing order: We need to start from the smallest number, then write larger number and end with the largest number.

We know that all negative numbers are less than the positive numbers and larger negative value is always the smaller one.

For example: -3 is less than -1.

i) We have,

3, -5, -2, 1

So, the increasing order of these number is -5, -3, -2, 1.

ii) We have,

-1, -8, -7, -2

So, the increasing order of these number is -8, -7, -2, -1.

iii) We have,

-2, -4, 0, 2

So, the increasing order of these number is -4, -2, 0, 2.

What is the answer? Please help. Urgent.

Answers

Given:

A figure that contains a right triangular prism and cuboid.

To find:

The volume of the figure.

Solution:

The dimensions of cuboid are 16 in, 7 in and 3 in.

So, the volume of the cuboid is:

[tex]V_1=Length\times Width \times height[/tex]

[tex]V_1=16\times 7 \times 3[/tex]

[tex]V_1=336[/tex]

The base of the prism is a right angle with base 3 in and height 5 in, and the length of the prism is 6 in. So, the base are of the prism is

[tex]B=\dfrac{1}{2}\times Base\times Height[/tex]

[tex]B=\dfrac{1}{2}\times 3\times 5[/tex]

[tex]B=7.5[/tex]

The volume of a prism is:

[tex]V_2=Bh[/tex]

Where, B is the base area and h is the height of the prism.

[tex]V_2=(7.5)(6)[/tex]

[tex]V_2=45[/tex]

The volume of combined figure is:

[tex]V=V_1+V_2[/tex]

[tex]V=336+45[/tex]

[tex]V=381[/tex]

Therefore, the volume of the figure is 381 cubic in.

HELP ME THIS SUCKS
I'll give you brainless

Answers

Answer:

m∠1= 38°  

Step-by-step explanation:

180-145= 35

107+35= 142

angles in a triangle add up to 180

if the two known angle add up to 142

just do the easy math

180-142

= 38

m∠1= 38°

I WILL GIVE BRAINLIEST PLEASE ANSWER ASAP

Which equation can be used to solve for x in the following diagram?
A) 3x + (8x - 20) = 90
B) 3x = (8x - 20)
C) 3x + 90 = (8x - 20)
D) 3x + (8x - 20) = 180

Answers

i think its A or C. Not sure tho

Answer:

Step-by-step explanation:

It’s c

Adam bought a guitar on sale for 15% off. The sale price he paid was $297.50 (not including tax) What was the regular price of this guitar?

Answers

Answer:

Sales Price= $297.50

Regular Price= $297.50/85 * 100= $350

4 A group of 40 mountain goats has just been
transplanted to an area with the expectation
their population will increase exponentially by
30% each year. If f(x) represents their total
population and x is the number of years in the
future, which function models the situation?

Answers

Answer:

f(x) = 40 × (1.3)ˣ

Step-by-step explanation:

4. The given parameters of the population of mountain goats are;

The initial number of mountain goats, a = 40

The rate at which their population will increase, r = 30% = 0.3 exponentially

The total population after 'x' years is given by f(x)

For exponential growth, we have;

f(x) = a·(1 + r)ˣ

Plugging in the values, we get;

f(x) = 40 × (1 + 0.3)ˣ = 40 × (1.3)ˣ

What is the value of the expression 6c^2 - 5d + 8, when c=5 and d=4?

Answers

Answer:

138

Step-by-step explanation:

6c^2- 5d +8

6(5)^2- 5(4) + 8

6(25) - 5(4) + 8

150 - 5(4) +8

150 - 20 + 8

130 + 8

138

What are the values of x in the equation (x - 3)2 = 7?

Answers

Answer:

Exact Form - 13/2

Decimal Form - 6.5

Mixed Number Form - 6 1/2

Hope this helps

The circumference of a circle is 6π m. What is the area, in square meters? Express your answer in terms of \piπ.

Answers

Answer:

Area = 9π sq. m.

Step-by-step explanation:

C = πd

6π = πd

d = 6

r = 3

A = π[tex]r^{2}[/tex] = π[tex]3^{2}[/tex] =  9π sq. m.

Lakota is planning on creating a gigantic flag to honor the greatness of the superintendent, Mr. Miller. The main part of the flag will be a gigantic picture of Mr. Miller’s face. The picture will be 12 meters by 16 meters. Around the outside will be a uniform border. The total area of the flag with the border will be a total of 285 square meters. Determine the width of the border that will be surrounding the picture of our great leader.
HURRY PLEASE

Answers

Answer:

285 square mwters

Step-by-step explanation:

length 16 meters X width 12 meters = 192

(Lx2x) (Wx2x)= 285

The American Water Works Association reports that the per capita water use in a single-family home is 76 gallons per day. Legacy Ranch is a relatively new housing development. The builders installed more efficient water fixtures, such as low-flush toilets, and subsequently conducted a survey of the residences. Twenty-seven owners responded, and the sample mean water use per day was 71 gallons with a standard deviation of 9.5 gallons per day. At the 0.01 level of significance, is that enough evidence to conclude that residents of Legacy Ranch use less water on average

Answers

Answer:

Yes, that is enough statistical evidence to suggest to conclude that residents of Legacy Ranch use less water on average

Step-by-step explanation:

The data given by the American Water Works Association are;

The per capita water use in a single-family home, μ = 76 gallons per day

The number of responders in the sample, n = 27

The sample mean water used by the sample, [tex]\overline x[/tex] = 71 gallons

The standard deviation, s = 9.5 gallons per day

The level of significance, α = 0.01

The test statistics is given as follows;

The null hypothesis, H₀; μ ≥ 76 gallons

The alternative hypothesis, Hₐ; μ < 76 gallons

[tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s}{\sqrt{n}}}[/tex]

Therefore, we have;

[tex]t=\dfrac{71-76 }{\dfrac{9.5}{\sqrt{27}}} \approx -2.734817[/tex]

At n - 1 = 27 - 1 = 26 degrees of freedom, the critical-t = 2.5

From the test statistic, of t ≈ -2.734817, the p-value < 0.01, and from a graphing calculator, the p-value is given as Prob = 0.005544418

Therefore, given that the p-value is less the significant level, and less than 0.01, is therefore statistically significant, and therefore, there is sufficient statistical evidence against the null hypothesis, therefore we reject the null hypothesis, and there is enough statistical evidence to suggest to conclude that residents of Legacy Ranch use less water on average.

What is the measure of FBC?
Type your response below

Answers

Answer:

150

Step-by-step explanation:

Since EC is 180,

180-30=150

Which equation represents a line that passes through the points (4, 5) and (6, 9)? A. y = 2x-3 B. y - 3x-7 C. y= x + 3 D. y- + x + 7​

Answers

Answer:

A) y=2x-3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(9-5)/(6-4)

m=4/2

m=2

y-y1=m(x-x1)

y-5=2(x-4)

y=2x-8+5

y=2x-3

Jodie has 68 red marbles and 272 blue marbles. What percent of Jodie’s marbles are red?

Answers

Answer:

20%

Step-by-step explanation:

To do this we need to find the total number of marbles

             

272 + 68 ->  340

Now we divide 340 by 68 to get

68/ 340 = .2

Multiply by 100 because percent means PER 100 so to get this decimal in percent form multiply by 100

.2 * 100 = 20%

20% of Jodie's marbles are red

ill mark brainliest, question is attached

Answers

Answer:

v = 9

Step-by-step explanation:

6(v + 3) = 72

6v + 18 = 72

6v = 54

v = 9

Answer:

V = 9

Step-by-step explanation:

6(v + 3) = 72

Divide both sides by 6

6(v+3)/6 = 72/6

SImplify:

v + 3 =12

Subtract 3 from both sides:

v + 3 - 3 = 12 - 3

Simplify to get your answer of:

v = 9

Hope this helped,If you have any questions revolving around this topic,feel free to ask me and I will be glad to help,Good luck!

Ana compró una cartera cuyo precio original es de x dólares con el 10% de descuento y un perfume con precio original de B dólares con un descuento del 15%¿cuanto gasto en total Ana?

Answers

Answer:

Tarea:

Ana compró una cartera cuyo precio es x dólares con el 10% de descuento y un perfume con precio original en dólares con un descuento del 15%. ¿Cuánto gastó Ana en total?

- Solución:

El precio estará en lenguaje algebraico, ya que no nos dan el dato de cuánto costó cada artículo.

• Hallamos el precio de la cartera con el descuento:

El precio original es x, entonces:

Regla de tres:

100 % --------> x

10 % -----------> ?

10 . x : 100 = ?

10x/100 = ?

El 10% del precio de la cartera es 10x/100.

Entonces el precio de la cartera es (x-10x/100).

• Hallamos el precio del perfume con el descuento:

El precio original es y, entonces:

Regla de tres:

100% -------> y

15 % --------> ?

15.y/100

El 15% del perfume es 15y/100.

Entonces el precio del perfume con el descuento es (y-15y/100).

Entonces lo que gastó en total es:

(x - 10x/100) + (y - 15y/100)

Step-by-step explanation:

pls give me brainless

help me out here? (check the attached image if you're somewhat good at geometry)

Answers

Answer:

14

Step-by-step explanation:

you just look at how much everything equals and that it is adding by 2

Q3) Which of the following objects most closely resembles a golden rectangle and why?
a)8X5 inch paper.
b) 13X21 inch canvas.

Answers

Answer:

b :)

Step-by-step explanation:

brain list pls

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP FAST IT'S ASAP

Answers

Answer:

572.3

Step-by-step explanation:

Diameter = 27m

Radius = d / 2 = 27 / 2 = 13.5m

Area = pi x r²

= 3.14 x (13.5)²

= 3.14 × 182.25

= 572.3

i love you all thnx for the support <333

Answers

Answer:

np

Step-by-step explanation:

Thanks for the points:)

Answer:

we love u too!!! lol idek know u but u seem sweet

Step-by-step explanation:

PLSSSSSSSSSSSS I SERIOUSLY DONT GET THIS

Answers

if anyone puts a link DO NOT OPEN IT ITLL GIVE U VIRUS

For the data set 6, 5, 10, 11, 13, the mean, x, is 9. What is the standard deviation?

Answers

Answer:

your answer will be 3.4

Step-by-step explanation:

n=number of terms

{6,5,10,11,13}=5

also ∑(x-x)^2=46

[tex]S=\sqrt{\frac{1}{5-1} *46} =[/tex]

[tex]\sqrt{\frac{46}{4} }=\sqrt{11.5} \\\\S=3.4[/tex]

hope it helps

have a great day!!

The number of traffic citations given daily by two police departments over a two-week period is shown in the box-and-whisker plots. Which statement is NOT true?
a.The East department gave the greatest number of citations in one day.
b.The East department gave the least number of citations in one day.
c.The East department has a greater IQR than the West department.
d.The East department has the greater median of citations in one day.

Answers

D iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Answer:

b. The East department gave the least number of citations in one day.

Step-by-step explanation:

a. The East department gave the greatest number of citations in one day.

True, 210 > 190 (approx.)

b. The East department gave the least number of citations in one day.

False, 110 > 90 (approx.)

c. The East department has a greater IQR than the West department.

True, 4 out of 5 numbers are greater

d. The East department has the greater median of citations in one day.

True, 143 > 135 (approx.)

Does the table represent a linear or nonlinear function

Answers

Answer:

Non-Linear

Step-by-step explanation:

Answer:linear

Step-by-step explanation:

Other Questions
A political scientist claims that negative advertising on television affects younger voters more than it affects older voters. To test this claim, the scientist obtained data from two random samples of voters categorized into two age-groups, older and younger. The null hypothesis was that there was no difference in the proportions of voters in the two age-groups who would be affected by negative ads. The alternative hypothesis was that the proportion of younger voters affected would be greater than the proportion of older voters affected.Assuming all conditions for inference were met, the scientist conducted the test at a significance level of =0.05=0.05. The resulting pp-value was 0.206. Which of the following is the correct decision for the test?a. The pp-value is less than , and the null hypothesis is rejected. There is convincing evidence to support the claim that younger voters are more affected by negative ads than are older votersb. The pp-value is less than , and the null hypothesis is rejected. There is not convincing evidence to support the claim that younger voters are more affected by negative ads than are older voters.c. The pp-value is greater than , and the null hypothesis is not rejected. There is convincing evidence to support the claim that younger voters are more affected by negative ads than are older voters.d. The pp-value is greater than , and the null hypothesis is rejected. There is convincing evidence to support the claim that younger voters are more affected by negative ads than are older voters.e. The pp-value is greater than , and the null hypothesis is not rejected. There is not convincing evidence to support the claim that younger voters are more affected by negative ads than are older voters. Three reasons why users attach speakers to their computer In order to make their organizational goals a reality, chefs absolutely, positively have to understand the practice of propertystored food.OA dehydratingOB. labelingOC wrappingOD. cooking what is the effect rise of roman civilization what is Laminar flow?? PLEASE HELP FAST AND THANK YOU! AND NO LINKS!Can 60, 60, 60 be the measures of an acute isosceles triangle? If you've read Frankenstein, do you think it belongs on required reading lists? If you have not read the novel, does this article inspire you to read it? Explain. Given the polynomial f(x) = -4x2 + 5x + 7, what is the smallest positive integer a such that the Intermediate ValueTheorem guarantees a zero exists between 0 and a? nooooooooooooooooooyp9ih9tn8yfmuiorj= What has been the primary responsibility of the secretary of commerce? four types of constituted authority PLEASE HELP ITS DUE TODYA PLEASE HELP!!!!!!! What would x be equal to? Evaluate log2 8.1) 0.252) 0.333) 34) 4 Schools should teach kids how to cookis this topic debatable? Explain your response. worth 40points and a brainliest if correct. Whats the value of c if e^3x+6=8 Which equation in standard form has a graph that passes through the point (-3, 2) and has a slope of 4/3 ? what does x equal here? A regular pentagon with a perimeter of 10 cm is dilated by a scale factor of 3/2 to create a new pentagon. What is the the perimeter of the new pentagon?