[tex](5x+4) (x-7) =0[/tex]

Answers

Answer 1
expand the brackets
5x^2 -35x + 4x - 28
Simplify
5x^2 - 31x -28
a=5 b=-31 c=-28
Use these in the quadratic formula and do the equation whith both plus and minus
x=7 and x=-0.8

Related Questions


Please help
At a store, a desk is being sold at a 35% discount. The sale
price is $503.75. What was its original price before the sale?

Answers

Answer:

If you got 35% off, you only paid 65% of the original price. Call that x. Then we write

x = $468 / .65 = $720 is the original price.

\

Write the equation in standard form using integers.
y = - 2/3x -5
The equation in standard form is

Answers

The Answer is: 2x+3y=-15

16, 4, 1.... Find the 6th term The first three terms of a sequence are given. Round to the nearest Thousand (if necessary).

Answers

The answer is 0.016. If you keep diving each number by 4, you will get that as the 6th term.

Have a great day :)

Three times the sum of a number and nine is 12. Find the number.

Answers

Answer:

7

Step-by-step explanation:

3x+9=12

3x=21

x=7

Answer:

[tex] - 5[/tex]

Step-by-step explanation:

[tex]3(x + 9) = 12[/tex]

A window manufacturer claims that the seals break on only 4% of its windows. What is the probability that, in a sample of 10 windows, no seals will break?

Answers

Answer:

0.96

Step-by-step explanation:

Total samples of window = 10smaples

Total seal break = 4% of 10

Total seal break = 0.04 * 10

Total seal break = 0.4

THis means that no seal will be break on 96% of the window i.e 9.6 windows

The probability that, in a sample of 10 windows, no seals will break is expressed

as;

Pr(no seal will break) = 9.6/10

Pr(no seal will break)  = 0.96

Hence the probability that no seals will break is 0.96

Can someone please help me find out which triangles are congruent and why please

Answers

Answer:

D and F

Step-by-step explanation:

They have the same dimensions

42 push ups in 3 minutes. Preform unit rate. How many can she do in five minutes?

Answers

Answer:

70 pushups in 5 mins.

Step-by-step explanation:

42 ÷ 3 = 14

So you can do 14 pushups in one minute.

14 × 5 = 70

good luck, i hope this helps :)

Helpp noww pleasee!! 30 pointss

Answers

Answer:

729

Step-by-step explanation:

Answer:

78°

Step-by-step explanation:

angle CAW=180-168

angle CAW=12

angle DWB=12 vertically opposite to angle CAW

Sum of angles at a point=360

168+12+12+90+w=360

282+w=360

Collect like terms

w=360-282

w=78

2/3 - 1/3 what the difference

Answers

Answer:

2/3 begins w a 2 and 1/3 begins w a 1. thats the difference.. hope this helped :)

Step-by-step explanation:

Answer:

.3333333

Step-by-step explanation:

because u have to math ight

what is the answer for
-7+x/3=-13

Answers

Answer:

x = - 18

Step-by-step explanation:

Given

- 7 + [tex]\frac{x}{3}[/tex] = - 13 ( add 7 to both sides )

[tex]\frac{x}{3}[/tex] = - 6 ( multiply both sides by 3 to clear the fraction )

x = - 18

Answer:

x = -32  or x = -18    Depends on how the equation is written

Step-by-step explanation:

-7 + x/3 = -13

Find the answer by solving for x.

If the equation is written like this:

[tex]\frac{-7+x}{3} = -13[/tex]           Multiply both sides by 3 and add 7 to both sides

x = -32

Or if the equation is written like this:

[tex]-7+\frac{x}{3} =-13[/tex]        Add 7 to both sides and then multiply by 3

x = -18

please help me out and ill give brainliest

Answers

The position of A is located at : -3.75 explanation:
We know this because half of -3 and -4 it would be 50 but this is more than half way so if you count 25 cents more on a quarter it would be 75cents

I need help wioth my moms mom

Answers

Answer:

whats up? whatja need help with

Step-by-step explanation:

Ur moms mom is ur grandma

Consider the system of linear equations −4x+2y=4 and 4x−y=−6. Which is different?

Answers

Answer:

one is plus + and the other is mines -

Step-by-step explanation:

What’s the answer and can someone please explain it?

Answers

(10^4)^2
=10^4*2
=10^8

Carl earns grades of 62, 78, 59, and 89. What is the mean of his grades?

Answers

the answer is 72. add them together then divide by the amount of numbers you added.

Answer:

72 is the correct answer

Q2 - With decimals
Work these simultaneous equations out
on paper and write down your answers.
The cost of 8 CDs and 7 DVDs is
$113.50.
The cost of 12 CDs and 8 DVDs is
$153.
a =
10a + 3b = 31
15a + 4b = 45
b =
m =
4m + 10n = 83
9m + 6 = 96
n =
p =
8p + 59 = 27
12p + 40 = 51
All the CDs are the same price and
all the DVDs are the same price.
q=
Find the cost of one of each.
6S + 7t = 42
S =
1 CD is $
8s + 3t = -1
t =
[8]
[4]
1 DVD is $

Answers

Answer:

Simplify the following algebraic expressions.

- 6x + 5 + 12x -6

2(x - 9) + 6(-x + 2) + 4x

3x2 + 12 + 9x - 20 + 6x2 - x

(x + 2)(x + 4) + (x + 5)(-x - 1)

1.2(x - 9) - 2.3(x + 4)

(x2y)(xy2)

(-x2y2)(xy2)

Solution

Group like terms and simplify.

- 6x + 5 + 12x -6 = (- 6x + 12x) + (5 - by

Solution

Use rules of exponential to simplify the numerator first.

(a b2)(a3 b) / (a2 b3) = (a4 b3) / (a2 b3)

Rewrite as follows.

(a4 / a2) (b3 / b3)

Use rule of quotient of exponentials to simplify.

= a2

Rewrite as follows.

(21 x5) / (3 x4) = (21 / 3)(x5 / x4)

Simplify.

= 7 x

(6 x4)(4 y2) / [ (3 x2)(16 y) ]

Multiply terms in numerator and denominator and simplify.

(6 x4)(4 y2) / [ (3 x2)(16 y) ] = (24 x4 y2) / (48 x2 y)

Rewrite as follows.

= (24 / 48)(x4 / x2)(y2 / y)

Simplify.

= (1 / 2) x2 y

Factor 4 out in the numerator.

(4x - 12) / 4 = 4(x - 3) / 4

Simplify.

= x - 3

Factor -5 out in the numerator.

(-5x - 10) / (x + 2) = - 5 (x + 2) / (x + 2)

Simplify.

= - 5

Factor numerator and denominator as follows.

(x2 - 4x - 12) / (x2 - 2x - 24) = [(x - 6)(x + 2)] / [(x - 6)(x + 4)]

Simplify.

= (x + 2) / (x + 4) , for all x not equal to 6

Solve for x the following linear equations.

2x = 6

6x - 8 = 4x + 4

4(x - 2) = 2(x + 3) + 7

0.1 x - 1.6 = 0.2 x + 2.3

- x / 5 = 2

(x - 4) / (- 6) = 3

(-3x + 1) / (x - 2) = -3

x / 5 + (x - 1) / 3 = 1/5

Solution

Divide both sides of the equation by 2 and simplify.

2x / 2 = 6 / 2

x = 3

Add 8 to both sides and group like terms.

6x - 8 + 8 = 4x + 4 + 8

6x = 4x + 12

Add - 4x to both sides and group like terms.

6x - 4x = 4x + 12 - 4x

2x = 12

Divide both sides by 2 and simplify.

x = 6

Expand brackets.

4x - 8 = 2x + 6 + 7

Add 8 to both sides and group like terms.

4x - 8 + 8 = 2x + 6 + 7 + 8

4x = 2x + 21

Add - 2x to both sides and group like terms.

4x - 2x = 2x + 21 - 2x

2x = 21

Divide both sides by 2.

x = 21 / 2

Add 1.6 to both sides and simplify.

0.1 x - 1.6 = 0.2 x + 2.3

0.1 x - 1.6 + 1.6 = 0.2 x + 2.3 + 1.6

0.1 x = 0.2 x + 3.9

Add - 0.2 x to both sides and simplify.

0.1 x - 0.2 x = 0.2 x + 3.9 - 0.2 x

- 0.1 x = 3.9

Divide both sides by - 0.1 and simplify.

x = - 39

Multiply both sides by - 5 and simplify.

- 5(- x / 5) = - 5(2

What is the y intercept of the line - 4 x + 6 y = - 12?

Solution

Set x = 0 in the equation and solve for y.

- 4 (0) + 6 y = - 12

6 y = - 12

y = - 2

y intercept: (0 , - 2)

What is the x intercept of the line - 3 x + y = 3?

Solution

Set y = 0 in the equation and solve for x.

- 3 x + 0 = 3

x = -1

x intercept: (-1 , 0)

What is point of intersection of the lines x - y = 3 and - 5 x - 2 y = - 22?

Solution

A point of intersection of two lines is solution to the equations of both lines. To find the point of intersection of the two lines, we need to solve the system of equations x - y = 3 and -5 x - 2 y = -22 simultaneously. Equation x - y = 3 can be solved for x to give

x = 3 + y

Substitute x by 3 + y in the equation - 5 x - 2 y = -22 and solve for y

-5 (3 + y) - 2 y = - 22

-15 - 5 y - 2 y = - 22

-7 y = - 22 + 15

-7 y = - 7

y = 1

Substitute x by 3 + y in the equation -5 x - 2 y = - 22 and solve for y

x = 3 + y = 3 + 1 = 4

Point of intersection: (4 , 1)

For what value of the constant k does the line - 4 x + k y = 2 pass through the point (2,-3)?

Solution

For the line to pass through the point (2,-3), the ordered pair (2,-3) must be a solution to the equation of the line. We substitute x by 2 abd y by - 3 in the equation.

- 4(2) + k(-3) = 2

Solve the for k to obtain

k = - 10 / 3

What is the slope of the line with equation y - 4 = 10?

Solution

Write the given equation in slope intercept form y = m x + b and identify the slope m.

y = 14

It is a horizontal line and therefore the slope is equal to 0.

What is the slope of the line with equation 2 x = -8?

Solution

The above equation may be written as

x = - 4

It is a vertical line and therefore the slope is undefined.

Find the x and y intercepts of the line with equation x = - 3?

Solution

The above is a vertical line with x intercept only given by

(-3 , 0)

Find the x and y intercepts of the line with equation 3 y - 6 = 3?

Solution

The given equation may be written as

y = 3

The above is a horizontal line with y intercept only given by

(0 , 3)

What is the slope of a line parallel to the x axis?

Solution

A line parallel to the x axis is a horizontal line and its slope is equal to 0.

What is the slope of a line perpendicular to the x axis?

Solution

A line perpendicular to the x axis is a vertical line and its slope is undefined

Step-by-step explanation:

y = -22 and solve for y

-5 (3 + y) - 2 y = - 22

-15 - 5 y - 2 y = - 22

-7 y = - 22 + 15

-7 y = - 7

y = 1

45% of blank = 135 .

Answers

Answer:

60.75

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

yes because 135 is the same as 135

Using two numbers 40 and 32 what is the ratio

Answers

Answer:

80%

Step-by-step explanation:

How much is 32 out of 40 written as a percent value? Convert fraction (ratio) 32 / 40 Answer: 80%

What is 2 9/12×6=.........

Answers

Step-by-step explanation:

2 9/12×6=(2×12+9)/12×6=33×6/12=33/2=16.5is answer

2 9/12x6=(2x12+9)/
12x6=33x6/12=33/2=16.5

Which is the graph of y = 3x + 1?

Answers

Answer:

X dot on graph (-0.333,0) Y dot on graph (0,1)

Step-by-step explanation:

It intercepts on the X line on (-0.33,0)

It intercepts on the Y line on (0,1)

Answer:

Hi so the graph will look like this

Hope This Helps!

Nimer was driving to a hotel. He looked at his Sat Nav at 13:30 and saw the following, Distance to destination = 65 miles Nimer arrived at the hotel at 14:48 Work out the average speed of the car in mph, from 13:30 to 14:48

Answers

Answer: 50 miles per hour

Step-by-step explanation:

The average speed of the car will be gotten by using the formula:

= Distance/Time

where,

Distance = 65 miles

Time = 14:48 - 13:30 = 1:18 hours = 1 hour 18 minutes = 1 18/60 = 1.3 hours

Speed = Distance / Time

= 65 miles / 1.3 hours

= 50 miles per hour

please help me solve this​

Answers

Answer: x = 16/17; y = 1/17

condition: x,y > 0

we have:

[tex]\left \{ {{\sqrt{\frac{x}{y} } =4} \atop {\frac{1}{x}+\frac{1}{y}=\frac{1}{xy} }} \right. \\\\<=>\left \{ {{\frac{x}{y} =16} \atop {\frac{1}{x}+\frac{1}{y} =\frac{1}{xy} }} \right.[/tex]

because x > 0, multiply x by the second equation, we have:

[tex]\left \{ {{\frac{x}{y} =16} \atop {x(\frac{1}{y}+\frac{1}{x}) =\frac{x}{xy} }} \right. \\\\<=>\left \{ {{\frac{x}{y} =16} \atop {\frac{x}{y} +1=\frac{1}{y} }} \right.\\\\<=>\left \{ {{\frac{x}{y} +1=17} \atop {\frac{x}{y} +1=\frac{1}{y} }} \right.\\\\=>\left \{ {{17-\frac{1}{y} =0} \atop {\frac{x}{y} =16}} \right.\\\\<=>\left \{ {{\frac{1}{y} =17} \atop {x=16y}} \right.\\\\<=>\left \{ {{y=\frac{1}{17} } \atop {x=\frac{16}{17} }} \right.[/tex]

Step-by-step explanation:

HOW MANY SIDES DOES A TRIANGLE HAVE!!! HELP IM DOING A TEST!!!!

Answers

Answer:

Three

Step-by-step explanation:

A triangle has three sides and three corners hence the name TRI-angle

Step-by-step explanation:

a triangle has 3 sides. just count the sides and it's 3

whats does espanol mean

Answers

I believe it means Spanish.

Answer:

Spanish.

Step-by-step explanation:

It is the language Spanish but the word is in spanish hahahahahah.

(a) An angle measures 51°. What is the measure of its complement?
(b) An angle measures 113°. What is the measure of its supplement?

Answers

Step-by-step explanation:

For a

Let the another angle be x then

x + 51° = 90° {being complementary angles }

x = 90° - 51°

x = 39°

For b

Let the another angle be x then

x + 113° = 180° {being supplementary angles }

x = 180° - 113°

x = 67°

Piece of Cake!
Solve this problem:
A cake has 79 slices.
Harry ate 47 slices; Jack ate 14 slices; Dave ate 10 &
Mary ate 8 slices.
What fraction of the cake is remaining?

Answers

Answer:

none/0

Step-by-step explanation:

they ate all the cake.

now harry is gonna get sick

Answer:

79/79 or 1

Step-by-step explanation:

47+14+10+8=79

If Harry, Jack, Dave, and Mary all ate 79 slices in total, then there would be no more cake left since there are only 79 slices. The fraction answer would be 79/79 or 1, because they 79/79 is equivalent to 1.

Theo is putting lights around a right triangular sign that has a base of 10 feet and a height of 9 feet. If a box of lights will cover 15 square feet, how many boxes will he need to buy?

Answers

Answer:

2 Boxs

Step-by-step explanation:

Which equation represents the line shown on the coordination grid below

Answers

Answer:

a

Step-by-step explanation:

mx+c

c is y intersect in this case -2

m is gradient, in this case its positive, therefore a

Given the function f(x)=-x^2-5x+12f(x)=−x 2 −5x+12, determine the average rate of change of the function over the interval -5\le x \le 4−5≤x≤4.

Answers

Given:

The function is

[tex]f(x)=-x^2-5x+12[/tex]

To find:

The average rate of change of the function over the interval −5 ≤ x ≤ 4.

Solution:

The average rate of change of a function f(x) over the interval [a,b] is

[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]

Putting x=-5 in the given function, we get

[tex]f(-5)=-(-5)^2-5(-5)+12[/tex]

[tex]f(-5)=-25+25+12[/tex]

[tex]f(-5)=12[/tex]

Putting x=4 in the given function, we get

[tex]f(4)=-(4)^2-5(4)+12[/tex]

[tex]f(4)=-16-20+12[/tex]

[tex]f(4)=-24[/tex]

Now, the average rate of change of the function over the interval −5 ≤ x ≤ 4 is

[tex]m=\dfrac{f(4)-f(-5)}{4-(-5)}[/tex]

[tex]m=\dfrac{-24-12}{4+5}[/tex]

[tex]m=\dfrac{-36}{9}[/tex]

[tex]m=-4[/tex]

Therefore, the average rate of change of the function over the interval −5 ≤ x ≤ 4 is -4.

Geometry
Help please

Answers

Step-by-step explanation:

14x+y=60

4x-6= 10

4x= 16

x= 4

56+y=60

y= 4

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