What are the solutions to the quadratic equation below?
4X2 +28x + 49 = 5

Answers

Answer 1
4* 2 + 28x + 49 = 5
8 + 28x + 49 = 5
28 + 57 = 5
- 57 -57
———————————
28x = - 52
———————-
28x = 28

x = - 13/7

1) Multiple the numbers
2) Add the numbers
3) Add the same terms to both sides of the equation
4) Simplify
5) Divide both sides of the equation
6) Simplify

Related Questions

Solve C = AB + D for B

Answers

Answer:

C-D/A=B

C minus D all of that over A = B

When solving the system of equations by graphing, what is the solution of 3x + 2y = 2 and 2x – y=6?
A (-2,2)
B. (2.-2)
C. (-2,-2)
D. (2, 2)

Answers

Answer:

answer B: (2,-2)

Step-by-step explanation:

First, write the equations on top of each other:

[tex]3x+2y=2\\2x-y=6[/tex]

Then, multiply the the second equation by 2 so that we can use elimination of the y-variable:

[tex]3x+2y=2\\2(2x-y)=2(6)\\\\3x+2y=2\\4x-2y=12[/tex]

Next, use elimination to find the value of "x":

[tex]3x+2y=2\\+(4x-2y=12)\\\\7x+0=14\\7x=14\\\frac{7x}{7}=\frac{14}{7}\\x=2[/tex]

So, your x-value is 2.

Now, substitute your x-value into one of your equations, let's take the second equation, 2x-y=6:

[tex]2x-y=6\\2(2)-y=6\\4-y=6\\4-4-y=6-4\\-y=2\\\frac{-y}{1}=\frac{2}{-1}\\y=-2[/tex]

Your y-value is -2.

With all your information gathered, you find that the solution to this system of equation is (2,-2).

The cosst of 4 1 /4 kg of sugar is £68 .find the coast o 1 kg​

Answers

Step-by-step explanation:

Hi, there!!

Here according to the question we must find the cost of 1 kg sugar.

Given that:

17/4 kg of sugar cost £68.

then 1 kg sugar costs,

=[tex] \frac{68}{ \frac{17}{4} } [/tex]

after reciprocal we get,

= £68×4/17

=£16

The answer would come £16.

Therefore, The cost of 1 kg sugar is £. 16.

Hope it helps....

Answer:

£ 16

Step-by-step explanation:

Cost of 4 1/4 kg sugar = £ 68

4 1/4 = 17/4

Cost of 17/4 kg of sugar = 68

Cost of 1 kg of sugar =68 ÷ (17/4)

                                  [tex]= 68* \frac{4}{17}\\\\=4*4\\[/tex]

                                  = £ 16​

A Food Marketing Institute found that 31% of households spend more than $125 a week on groceries. Assume the population proportion is 0.31 and a simple random sample of 373 households is selected from the population. What is the probability that the sample proportion of households spending more than $125 a week is less than 0.33

Answers

Answer:

0.7967

Step-by-step explanation:

We know that population proportion p=0.31.

We have to find P(phat<0.33).

Mean=p=0.31

[tex]Standard deviation=\sqrt{\frac{p(1-p)}{n} }[/tex]

[tex]Standard deviation=\sqrt{\frac{0.31(0.69)}{373} }[/tex]

standard deviation=0.024 (rounded to three decimal places)

[tex]P(phat<0.33)=P(Z<\frac{0.33-0.31}{0.024})[/tex]

[tex]P(phat<0.33)=P(Z<\frac{0.02}{0.024})[/tex]

[tex]P(phat<0.33)=P(Z<0.83)[/tex]

[tex]P(phat<0.33)=0.5+0.2967[/tex]

[tex]P(phat<0.33)=0.7967[/tex]

Thus, the required probability that sample proportion of households spending more than $125 a week is less than 0.33 is 79.67%

How many solutions are there for the absolute value equation, |16 + t| = – 3

Answers

Answer:

no solutions

Step-by-step explanation:

|16 + t| = – 3

Absolute values are greater than or equal to zero

They cannot be negative so there are no solutions

Answer:

no solutions

Step-by-step explanation:

|16 + t| = – 3

Absolute values are greater than or equal to zero

They cannot be negative so there are no solutions

Plz Help I Will Mark Brainliest If Right!!!!!!!!!!!!!!!!!!!!!!!
Determine the domain of the function.

f as a function of x is equal to the square root of one minus x.

A). All real numbers
B). x > 1
C). x ≤ 1
D). All real numbers except 1

Answers

Hey There!!~

Your best answer choice is B). x > 1.

Good Luck!!

) What should be subtracted from -5/3 to get 5/6?

Answers

Answer:

[tex]-\frac{5}{2}[/tex]

Step-by-step explanation:

Step 1: Put this into an equation

[tex]-\frac{5}{3} - x = \frac{5}{6}[/tex]

Step 2: Solve for x

[tex]-x = \frac{5}{6} + \frac{5}{3}[/tex]

[tex]-x = \frac{5}{2}[/tex]

[tex]x =- \frac{5}{2}[/tex]

Therefore you need to subtract [tex]-\frac{5}{2}[/tex] from [tex]-\frac{5}{3}[/tex] to get [tex]\frac{5}{6}[/tex]

Answer:i don’t know

Step-by-step explanation:I’m sorry dude I have no idea I tried doing it in the browser and I could not find an answer sorry

How can I divide decimals and fin the correct quotient and remainder.?

Answers

Answer:

Add a zero to the remainder and a decimal point in the quotient. Then we can continue to divide decimals. We divide 64 by 5 and obtain 12 as a quotient and 4 as a remainder. Since the remainder is not zero, we can continue to get a decimal answer by adding a decimal point in the quotient and a zero to the remainder

Step-by-step explanation:

Please Help! Select the correct systems of equations. Which systems of equations intersect at point A in this graph?

Answers

Answer:

The systems of equation satisfying the problem are

Y= 4x+9

Y= -3x-5

Y= 2x+5.

Y= 5x+11

Y= 3x+7

Y= -x-1

Step-by-step explanation:

From the graph in the figure

The point A ; x= -2,y=1

So the equations that will interest at point A are the equations that both pass through the point A.

To know the equations that pass through the point A we solve them simultaneously.

For

Y = 10x-1

Y= -3x-5

0= 13x +4

X= -4/13..... definitely not this one

For

Y= 4x+9

Y= -3x-5

0= 7x +14

-14= 7x

-2= x

Substituting the value of x into Y= 4x+9

Y= 4x+9

Y= 4(-2)+9

Y = -8+9

Y= 1

So it's definitely this one

Let's check to know if there is any more

Y = 2x+5

Y= x-1

0= x +6

Definitely not this one

For

Y= 2x+5.

Y= 5x+11

0 = 3x+6

-6= 3x

-2= x

Y= 2x+5.

Y=2(-2)+5

Y= 1

Definitely this one

For

Y= 3x+7

Y= -x-1

0 = 4x +8

-8= 4x

-2= x

Y= -x-1

Y= -(-2)-1

Y= +2-1

Y= 1

Definitely this one too

The correct options are system of equations shown by options (B)[tex]Y= 4x+9 \ and \ y = -3x-5[/tex]

(D) [tex]y= 2x+5 and \ y= 5x+11[/tex]

and (E) [tex]y= 3x+7 \ and\ y= -x-1[/tex].

Given, Coordinates of point A is (-2,1).

We have to find which systems of equations intersect at point A in this graph.

The system of equation which satisfy the point A(-2,1) will intersect at point A.

On putting the value of x=-2 and y= 1, in 1st pair

the equation doesn't satisfy.

similarly checking all the options, we find that the below system equations intersect at point A.

[tex]Y= 4x+9 \ and y = -3x-5 \\y= 2x+5 and \ y= 5x+11\\y= 3x+7 \ and y= -x-1[/tex]

Hence the correct options are system of equations shown by options (B), (D) and (E).

For more details follow the link:

https://brainly.com/question/1680887

 

This table represents a quadratic function.
y
x
0
14
1
10.5
2
8
3
6.5
4
5
6.5
What is the value of a in the function's equation?
A.2
B.1/2
C.-1/2
D.1

Answers

Answer:

B. 1/2

Step-by-step explanation:

y = ax^2 + bx + c

14 = a(0)^2 + b(0) + c

c = 14

10.5 = a(1)^2 + b(1) + 14

10.5 = a + b + 14 ____(i)

8 = a(2)^2 + b(2) + 14

8 = 4a + 2b + 14

4 = 2a + b + 7 ___ (ii)

i - ii

10.5 - 4 = -a + 7

6.5 = -a + 7

a = 7- 6.5

a = 0.5

Value of a in the quadratic function is 0.5

What is Quadratic function?

In algebra, a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic, is a polynomial function with one or more variables in which the highest-degree term is of the second degree

Given,

Quadratic function

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

Consider values in the table x= 0 and  y =14

[tex]14=a(0)^{2}+b(0)+c\\ c=14[/tex]

Consider x=1 and y = 10.5

[tex]10.5=a(1^{2})+b(1)+c\\ a+b=10.5-14\\a+b=-3.5[/tex]

Consider x=2 and y =8

[tex]8=a(2^{2})+b(2)+c\\ a\\8=4a+2b+14\\4a+2b=-6\\2a+b=-3[/tex]

Subtract a + b= -3.5 from 2a + b= -3

a=-3--3.5=0.5

Hence, the Value of a in the quadratic function is 0.5

Learn more about Quadratic function here

https://brainly.com/question/5975436

#SPJ2

BC = 6, EF = 12 Based on the given information, choose the similarity statement that you would use to say ABC~DEF. If you could NOT conclude the triangles similar, then choose NOT. AA SAS SSS NOT

Answers

Answer:

SSS

Step-by-step explanation:

Answer:

SSS

Step-by-step explanation:

Option c or "SSS"

What is the difference between sin^-1 and sin?

Answers

Answer:

Step-by-step explanation:

sin of angle x is the trig ratio sine of x.

sin-1 x is the angle whose sine is x.

sin-1 x can also be written as arcsin x.

If the cost of fencing a rectangular garden per meter is rupees 5 . Find the amount needed to do the fencing of the garden with length 400 m and breadth 150 m .

Answers

Answer:

6500 rupees

Step-by-step explanation:

We are given a rectangular garden is the dimensions of:

Length = 400 m

Breadth = 150 m

Perimeter of a rectangle = 2(L + B)

= 2(400 + 150)

= 2(650)

= 1300m

We are told that the cost of fencing a rectangular garden per meter is rupees 5

1 m = 5 rupees

1300m =

Hence, the cost to fence the entire garden = 1300 × 5 rupees

= 6500rupees

Which of the following statements best describes the value of the expression 9x – 3 when x = 7?A.The result is a fraction.B.The result is a prime number.C.The result is a composite number.D.The result is a whole number that is neither prime nor composite.
pz help

Answers

Answer: C.The result is a composite number.

Step-by-step explanation:

A prime number has only 2 factors ( '1' and itself). For example : 2,3,5,..

A composite number has more than 2 factors. For example : 4, 6, 8...

The given expression: [tex]9x-3[/tex]

When x= 7 , the value of the expression will be

[tex]9(7)-3= 63-3=60[/tex]

Since 60 is a composite number [ it is divisible by 2,3,4,5,6,10,12,30,60]

Hence, the correct statement is C.The result is a composite number.

Answer:

C. The result is a composite number.

Sorry! I'm in a rush but I hope you do well on your quiz! Stay brainly :)

A store sold 50 copies of a magazine for $150. Each copy of the magazine costs the same. Which equation and set of ordered pairs best represents the price, in dollars, of a certain number of copies of the magazine? (1 point) Select one: a. Y = 3x; (1, 3), (2, 6), (3, 9) b. Y = 4x; (1, 4), (2, 8), (3, 12) c. Y = 5x; (1, 5), (2, 10), (3, 15) d. Y = 6x; (1, 6), (2, 12), (3, 18) Plz answer quick!

Answers

Answer:

Option a. Y=3x

Step-by-step explanation:

Let us use cross multiplication method.

Let the cost of 1 magazine be x.

No. of copies                               Cost

1)50                                                $150

2)1                                                      x

50x=150 x 1               equation(1)

x=150/50

x=$3

Now see equation (1),

150=50x

150=50 x 3

Here let us represent the cost as y and no. of copies as x.

Y=3x

Therefore, a. Y=3x is the right answer.

Thank you!

                                             

how many are 1 raised to 2 ???​

Answers

Answer:

1

Step-by-step explanation:

1^2

Means 1 multiplied by itself 2 times

1*1

1

Which data set matches the box-and-whisker plot?
A) 12 13 15 19 23 23 25 26.5 28 30
B) 15 13 19 21 23 24 27 29 32
C) 11 31 13 15 19 21 21 25 27 29 31
D) 11 13 15 19 23 23 24 26.5 28 33​

Answers

Answer:

D) 11 13 15 19 23 23 24 26.5 28 33​

Step-by-step explanation:

The box-and-whisker plot displayed above has the following key values that we can use to identify which of the given data set it matches. It has:

Minimum value = 11

Q1 = 15

Median = 23

Q3 = 26

Maximum value = 33

From the options given, using just the max and min value, we can conclude that the data set in option D matches the box plot.

The data set in option D has a minimum value of 11, and a maximum value of 33.

What is g(x)?
Please help

Answers

Answer:

g(x) = -x²

Step-by-step explanation:

Answer:

-x^2

Step-by-step explanation:

The parent equation of a parabola is x^2.

Because the parabola is upside down, the equation becomes negative.

What the answer question now

Answers

Step-by-step explanation:

Here,

radius (r)= 2cm

height(h)=5cm

now,

according to the question we must find the surface area of cylinder so,

by formulae ,

a= 2.pi.r(r+h)

now,

a= 2×3.14×2(2+5)

by simplifying it we get,

The surface area of cylinder is 87.92 cm^2.

Hope it helps

a plank is 2m long and30cm wide has volume of 0.018m. what is its thickness

Answers

I think the thickness of the plank is 0.03m

Determine the standard form of the equation of the line that passes through (-8, -6) and (-4, 9)

Answers

Answer:

15/4 x-y=-24

Step-by-step explanation:

the standard form is ax+by=c

two points (x1,x2) , (y2,y1)

x1=-8       x2=-6

y1=-4        y2=9

find slope m: y2-y1/x2-x1

m=9-(-6)/-4-(-8)

m=15/4

find b: take any point(-8,-6)

y=mx+b

-6=15/4 (-8)+b

-6=-30+b

b=-6+30

b=24

y=15/4 x+24

standard form: y-15/4x=24

OR : 15/4 x-y=-24

Over what axis was the square reflected in the first example?

The x-axis

The y-axis

Answers

What example
————————

Answer:

The x-axis!

Step-by-step explanation:

The table shows ordered pairs of the function. What is the value of y when? A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 1, 1, 4, 8, 10. The second column is labeled y with entries 14, 10, 6, 0, question mark, negative 12. –20 –8 8 48
I need this quick;-;

Answers

Answer:

-8

Step-by-step explanation:

i checked it out on ... and it was negative eight

Answer:

B: -8

Step-by-step explanation:

edg2021

Just plug 8 into the equation.

\angle DAC=\angle BAD∠DAC=∠BADangle, D, A, C, equals, angle, B, A, D. What is the length of \overline{AC} AC start overline, A, C, end overline? Round to one decimal place.

Answers

Answer:

AC = 4.5 units

Step-by-step explanation:

In the given triangle ABC,

Segment AD is the angle bisector of ∠BAC.

m∠CAD = m∠BAD = θ

By applying angle bisector theorem in ΔABC,

An angle bisector of the interior angle in a triangle divides the opposite side into segments that are proportional to the other two sides.

[tex]\frac{\text{AB}}{\text{BD}}=\frac{\text{AC}}{\text{CD}}[/tex]

By substituting measures of the given sides,

[tex]\frac{6.8}{3.8}=\frac{\text{AC}}{2.5}[/tex]

AC = [tex]\frac{6.8\times 2.5}{3.8}[/tex]

AC = 4.473

AC ≈ 4.5 units

Therefore, measure of the missing side AC will be 4.5 units.

Simplify 7^ -5/6 x 7^-7/6

Answers

Answer:

1/49

Step-by-step explanation:

If you add this is the calculator, I think it will come out.

━━━━━━━☆☆━━━━━━━

▹ Answer

1/49

▹ Step-by-Step Explanation

7^-5/6 * 7^-7/6

= 1/7²

= 1/49

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

\large 6\cdot\frac{6+2^2}{6+2-6}

Answers

Answer:

30

Step-by-step explanation:

Given the expression [tex]\large 6\cdot\frac{6+2^2}{6+2-6}[/tex], on simplification we have;

[tex]= \large 6\cdot\frac{6+2^2}{6+2-6}\\\\= \large 6\cdot\frac{6+4}{8-6}\\\\= \large 6\cdot\frac{10}{2}\\\\= 6* 5\\\\= 30[/tex]

Hence the equivalent value of the expression is 30

Brad invests $3700 in an account paying 3% compounded monthly. How much is in the account after 8 months?

Answers

Answer:

Amount after 8 month (A) = $3775 (Approx)

Step-by-step explanation:

Given:

Amount invested (P) = $3,700

Rate of interest (r) = 3% = 0.03 / 12 = 0.0025 monthly

Number of month (n) = 8 month

Find:

Amount after 8 month (A)

Computation:

[tex]A=P(1+r)^n\\\\ A=3700(1+0.0025)^8\\\\A=3700(1.02017588)\\\\ A = 3774.650676[/tex]

Amount after 8 month (A) = $3775 (Approx)

the vertex form of a function is g(x)=(x-3)^2+9

Answers

Answer:

(3,9) is the answer.

Step-by-step explanation:

For a one-to-one function, y = f(x), then x = f-1(y). True or false. Explain your answer.

Answers

Answer:

True

Step-by-step explanation:

For one-to-one function, we have for all x₁ and x₂, where x₁ ≠ x₂, then, f(x₁) ≠ f(x₂)

Which gives;

f

Where f(x₁) = y₁, the result of the inverse of the f⁻¹(y₁) = x₁

By definition the inverse of a one-to-one function, f⁻¹ is a distinctive function whose domain is given by f⁻¹(f⁻¹(x)) = x for the values of x in f

Therefore, for one-to-one functions, f⁻¹(f⁻¹(x₁)) = x₁

Where f⁻¹(x₁) = y₁, is the inverse or reverse of a function f(x₁), therefore, we have;

f⁻¹(y₁) = x₁

Which proves the statement that y = f(x) then x= f⁻¹(y).

Determine if the product CA is defined, state it’s dimensions not the product

Answers

Answer:

Dimensions of the product matrix = (3 × 3)

Step-by-step explanation:

If matrix P having dimensions (m × n) and matrix Q having dimensions (n × r) are multiplied,

Dimensions of the product matrix PQ will have the dimensions as (m × r).

That means product of the two matrices are defined when columns of first matrix P is equal to the rows of the second matrix Q.

Following this rule,

Dimensions of matrix A = (2 × 3)

[ Rows × Columns]

Dimensions of matrix B = (3 × 3)  [Rows of B = 3, columns of B = 3]

Dimensions of matrix C = (3 × 2) [Rows of C = 3, columns of C = 2]

Since columns of C and rows of A are equal.

Therefore, product of C and A is defined.

Product of the matrices C & A will have the dimensions as (3 × 3).

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On which two lines of evidence did he base this proposal? a) Individuals within a population vary, yet island species around the world all appear to be related to each other.b) Organisms produce more offspring than can be supported by their environment, and adaptations to specific environments increase an organism's ability to survive and reproduce.c) Organisms within a population vary, and all populations produce more offspring than can be supported by the environment, resulting in competition for survival within the population.d) Some individuals leave more descendants than other individuals, but the individuals in a population are essentially identical to each other.e) Some individuals within a population have greater success in survival and reproduction than others, and favorable traits within a population will accumulate over generations. Which activity can substantially increase a persons risk of contracting HIV infection? 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