Solve for x . Enter the solutions from least to greatest. x^2 + 3x - 4 = 0

Answers

Answer 1

Answer:

x^2+(4-1)x-4=0

x^2+4x-x-4=0

x(x+4)-1(x+4)=0

(x-1)(x+4)=0

either (x-1)=0                                   Or,(x+4)=0

x-1=0

x=0+1

x=1

x+4=0

x=0-4

x=-4

therefore x=-4,1

Step-by-step explanation:

Answer 2

The required solutions for x are x₁= 1 and x₁= -4, and we can write them from least to greatest as -4, 1.

What are the factors?

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

To solve for x in the quadratic equation x² + 3x - 4 = 0, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation (ax² + bx + c = 0).

In this case, a = 1, b = 3, and c = -4, so we have:

x = (-3 ± √(3² - 4(1)(-4))) / 2(1)

x = (-3 ± √(25)) / 2

x = (-3 ± 5) / 2

x₁ = (-3 + 5) / 2 = 1

x₂ = (-3 - 5) / 2 = -4

Therefore, the solutions for x are x₁= 1 and x₁= -4, and we can write them from least to greatest as -4, 1.

Learn more about Factors here:

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Related Questions

The length of a rectangle is 10x² – 13x - 3 / 4x + 3 and the width is 4x² + 11x + 6 / 2x - 3 inches. Find the area of the rectangle.​

Answers

Answer:

use this formula ot find area of rectangl 2l +2w

please help me with this one

Answers

Step-by-step explanation:

15*8= 120

120/2= 60

60*13= 780

So its B.  

120! Hope it helped

Perform the operation.
(4x^2 + 6x + 7) - (-8x^2 – 2x + 6)

Answers

[tex]12 {x}^{2} + 8x + 1[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex](4 {x}^{2} + 6x + 7) - ( - 8 {x}^{2} - 2x + 6) \\ = 4 {x}^{2} + 6x + 7 + 8 {x}^{2} + 2x - 6 \\ = 4 {x}^{2} + 8 {x}^{2} + 6x + 2x + 7 - 6 \\ = 12 {x}^{2} + 8x + 1[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

please help and describe and correct the error in finding a solution of the equation in two variables! i will mark you brainliest !!!!

Answers

Answer:

see below

Step-by-step explanation:

The student put 5 in for y and 1 in for x.  It should be x=5 and y =1

y = 3x+2

1 = 3*5 +2

1 = 15+2

1 = 17

This is not true so this is not a solution

Answer:

see below

Step-by-step explanation:

The student put 5 in for y and 1 in for x.  It should be x=5 and y =1

y = 3x+2

1 = 3*5 +2

1 = 15+2

1 = 17

This is not true so this is not a solution

What is the value of -4d2 + 15d2 = 5 for d = 1?

Answers

Answer:

Step-by-step explanation:

-4(1)^2 + 15(1)^2 =5

-4 + 15 = 5

since the equation is false,   15-4  does not equal 5  , then something has been left off the equation.      look carefully , did you forget anything?  

calculate the compound interest on an investment of R6500 at 7,5% per annum invested for 3 years​

Answers

Answer:

Compound interest = Rs 1,575 (Approx.)

Step-by-step explanation:

Given:

Amount invested = R.s 6,500

Rate of interest = 7.5% per annum

Number of year = 3 year

Find:

Amount of compound interest

Computation:

Compound interest = P[(1+r)ⁿ - 1]

Compound interest = 6500[(1+7.5%)³ - 1]

Compound interest = 6500[(1+0.075)³ - 1]

Compound interest = 6500[(1.075)³ - 1]

Compound interest = 6500[1.2423 - 1]

Compound interest = 6500[0.2423]

Compound interest = 1574.95

Compound interest = Rs 1,575 (Approx.)

How could I solve this equation by dividing first? 4(x+7)=40

Answers

Answer:

You could divide 4 from both sides first

Mr Sharma packed 42 kg of tea into one big bag and 6 small ones each of the same size the big bag contained 3/7 of the tea how many kg of tea did each small bag contain

Answers

Answer:

4kg

Step-by-step explanation:

Mr Sharma packed 42 kg of tea into one big bag and sox small bags each of the same size

The first step is to calculate the quantity in the big bag

= 3/7 × 42

= 3×6

= 18

The amount left in the remaining bags is

= 42-18

= 24

Therefore the kg of tea in the small bags can be calculated as follows

= 24/6

= 4

Hence there are 4kg of tea in the small bags

If point A is between points Band C and AB = 26 and BC = 50, find AC.
24
66
78
16

Answers

Answer:

24

Step-by-step explanation:

if A is a point between B and C, then'

BA + AC = BC

GIven

AB = 26 and BC = 50

BA = 26

Substitute

26 + AC = 50

AC = 50 - 26

AC = 24

Hence thelength of AC is 24

Brainlest if correct!!!
During one month, the mean high temperature in Boise, Idaho, was 52.1°F with a standard deviation of 6.5° F. During the same month, the mean high temperature in Death Valley, California, was 81.9° F with a standard deviation of 6.4° F. Select all the statements that are true. ​

Answers

Answer:

B. The average high temperature in Death Valley was greater than the average in Boise

C. The variation of high temperature in Death valley was about the same as the variation in Boise

Step-by-step explanation:

Step 1: In a normal distribution, about 95% of the values are ±2 standard deviations from the mean. ±2 standard deviation from the mean high temperature of Boise is 39.1 to 65.1. Therefore, option A is wrong

Step 2: The average temperature high temperature of each of the places isngiven by their mean high temperatures.

The mean high temperature in Boise, Idaho, was 52.1°F while the mean high temperature in Death Valley, California, was 81.9°F.

Difference between the mean high temperatures is (81.9 - 52.1) = 29.8°F

Therefore, the average high temperature in Death Valley was greater than the average in Boise. Option B is correct.

Step 3: Standard deviation measures how spread out data is. It is a measure of variation of data.

The standard deviation of the high temperature in Boise, Idaho was 6.5° F, while the standard deviation of the high temperature in Death Valley, California was 6.4° F. This two values are about the same. Therefore, option C is correct.

Step 4: In a normal distribution, about 68% of the values are ±1 standard deviations from the mean. ±1 standard deviation from the mean high temperature of Death Valley is 75.5 to 88.3. Therefore, option D is wrong

Step 5: In a normal distribution, about 99.7% of the values are ±3 standard deviations from the mean. ±3 standard deviation from the mean high temperature of Boise is 32.6 to 71.6. Therefore, option E is wrong

how to convert 2km into SI unit​

Answers

Answer:

km is a unit of distance

and si unit of distance is meters.(m)

1 km = 10³ m

•°• 2 km = 2 × 10³ m

in SI unit 2km = 2 × 10³ m or 2000 m

Subtract 4.25 and 12.835​

Answers

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]12.835 - 4.25 \\ = 12.835 - 4.250 \\ = 8.585[/tex]

NOTE:-

You must subtract the smaller number from the bigger number.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

I NEED HELP RIGHT NOW PLEASE!!!!!
NO LINKS

Answers

Answer:

48

Step-by-step explanation:

The blank would be 48 because 3 times 4 is 12. 12 times 4 is 48. And 48 times 4 would be 192

A power company calculates a person's monthly bill from the number of
kilowatt-hours (kWh), x, used.
The function b(x) = {
0.15%,
0.10 (20 – 400) + 60,
2 < 400
2 > 400
determines
the bill.
How much is the bill for a person who uses 600 kWh in a month?
O A. $80
B. $90
C. $100
O D. $110

Answers

Answer: (a)

Step-by-step explanation:

Given

The function [tex]b(x)[/tex] is given for the bill as per the kilo-watt hours used

for 600 kWh in a month, [tex]b(x)[/tex]  is

Substitute 600 for [tex]x[/tex]  in [tex]b(x)[/tex]

[tex]\Rightarrow 0.10(600-400)+60\\\Rightarrow 0.10(200)+60\\\Rightarrow 20+60\\\Rightarrow 80[/tex]

Therefore, the bill for a person is [tex]\$80[/tex]

pLEASE I BEG OF U HELP - ill give brainliest

Answers

Answer:

123 cm²

Step-by-step explanation:

You add the sum of all the faces in the shape

Answer:

Step-by-step explanation:

8 x 9= 72…. 3 x 8= 24….  3 x 9= 27….  72 x 2= 144…. 24 x 2= 48…. 27 x 2= 54… 144 + 48+ 54 = 246.

therefor Your answer is 246 cm2

In the figure, RV, WS, and QT intersect at point P.
What is the value of x? Show your work.

Answers

Answer:

x = 12

Step-by-step explanation:

67+42+6x-1=180

108+6x=180

6x=72

x=12

Sarah went on a run. On her run she found 6 rocks. When she was going back home she found 7 more rocks. When she got home she relized she lost 2 of the rocks. How many rocks does she have now?

Answers

Answer:

11

Step-by-step explanation:

first you add 6 + 7 = 13

then you 13 - 2 which gives you eleven!

PLZZZZ HELP I WILL MARK BRAINLIEST!!!

Answers

Answer:

41.1 feet of ribbon was leftover

(fraction form: 41 1/10)

Step-by-step explanation:

122 1/2 = 122.5

32 2/5 = 32 4/10 = 32.4

122.5 x 0.4 = 49

122.5 - 49 = 73.5

73.52 - 32.4 = 41.1

41.1

Answer:

Step-by-step explanation:

40% of 122.5 [tex](122\frac{1}{2})[/tex] is 49.

Equation: y=p%·x

p=40% x=122.5

Solve the equation for y.

y=p%·x

y=40%·122.5'

Converting percent to decimal.

p = 40%/100 = 0.4

y=0.4·122.5

y=49

[tex]49-32\frac{2}{5}[/tex]

[tex]49-\frac{162}{5}[/tex]

[tex]\frac{83}{5}[/tex]

[tex]16\frac{3}{5}[/tex]

Answer:

Exactly [tex]16\frac{3}{5}[/tex] feet of ribbon remains.

What is the value of x in the equation -6 +x= -1?
0-5
0-7
07
05
Help please

Answers

Answer:

0-5

Step-by-step explanation:

Just add the 6 to -1 and then you get x=5
Answer: 5

How much would you pay for a shirt that is marked at $85, but is on sale for 30% off? (no Tax)​

Answers

Answer:

59.50

Step-by-step explanation:

..Its C right.????........

Answers

I would put B. They are alternate interior angles
It is B. Alternate interior angle Theron

What is the inverse of the function g(x) = x + 16?

Answers

Answer:

[tex]g {}^{ - 1} (x) = 2 \sqrt[3]{x - 16} [/tex]

choose (2)

ill give brainliest to the correct answer

Answers

Answer:

7 x 4 = 28

28 x 1/2(dividing by 2) = 14, 14 x 2(two triangles) = 28

4 x 5 = 20(area of square in the middle)

5 x 8 = 40(area of square on one side), 40 x 2 = 80(area of squares on both sides)

Now lets add the given areas:

28 + 20 + 80 = 128 square is your answer.

I would really appreciate the help guys!

Answers

Answer: 6

Step-by-step explanation: The answer is 6

Victo scored 8, 10, 8, 9, and 10 points on his first five math quizzes. He calculated the median before and after he took the sixth quiz. The median did not change. How many points did he score on his sixth quiz? pls help!

Answers

Answer:

9

Step-by-step explanation:

the median is 9 and to keep it the same you put 9

Hope this helps!!!

In the figure below, ∠PQR and ∠TQS are vertical angles. What is the value of x? *

A. 16
B. 32
C. 48
D. 66

Answers

Answer:

A) 16

Step-by-step explanation:

∠PQR and ∠TQS are vertical, meaning they equal each other

set up your formula as

3x+18=66

3x=66-18

3x=48

x=48/3

x=16

(2x - 7y )( 2x + 7y )​

Answers

Answer:

Step-by-step explanation:

(2x-7y)(2x+7y)

2x(2x+7y)-7y(2x+7y)

4x^2+14xy-14xy-49y^2

4x^2-49y^2

(2x)^2-(7y)^2

Answer:

[tex] {4x}^{2} - 49y^{2} [/tex]

Step-by-step explanation:

Use (a - b) (a + b) = a^2 -b^2 to simplify the product.

[tex](2x)^{2} - (7y)^{2} [/tex]

To raise the product to a power, raise each factor to that power:

[tex] {4x}^{2} - (7y)^{2} \\ {4x}^{2} - 49y^{2} [/tex]

Could a polyhedron exist with the given number of faces, vertices, and edges? Drag yes or no to each combination

Answers

Answer:

(a) No

(b) No

(c) No

Step-by-step explanation:

Given

See attachment

Required

Select Yes or No for each

To do this, we make use of Euler's formula

[tex]F + V - E = 2[/tex]

Where

[tex]F \to Faces; V \to Vertices; E \to Edges[/tex]

[tex](a):\ Faces = 8; Vertices = 12; Edges = 6[/tex]

Using: [tex]F + V - E = 2[/tex]

[tex]8 + 12 - 6 = 2[/tex]

[tex]14 = 2[/tex]

The above equality is false. Hence, (a) does not exist

[tex](b):\ Faces = 6; Vertices = 6; Edges = 4[/tex]

Using: [tex]F + V - E = 2[/tex]

[tex]6 + 6 - 4 = 2[/tex]

[tex]8 = 2[/tex]

The above equality is false. Hence, (b) does not exist

[tex](c):\ Faces = 20; Vertices = 30; Edges = 12[/tex]

Using: [tex]F + V - E = 2[/tex]

[tex]20 + 30 - 12 = 2[/tex]

[tex]38 = 2[/tex]

The above equality is false. Hence, (c) does not exist

I’ll mark you Brainliest!!! Please helppp!!!! Don’t answer with “you can download the answers here” and then the link, that doesn’t work! You just want the points


The value of an investment after t years is given by the function, A (t) = 500 (1 + 0.07t).

Complete the following statement. The initial value of the investment is_____,and the annual simple interest rate is____percent.

For the first blank
A. $500
B. $700

For the second blank
A.50
B.70
C.7
D.0.5
E.0.07

Answers

Answer:

A. $500

C. 7 percent

Step-by-step explanation:

Your problem follows the format of the Simple Interest Formula.

The formula is described as follows: A = P(1 + r*t)

Where P = initial value

r = interest rate as a decimal

t = amount of time.

In your equation of A = 500 ( 1 + 0.07 t )

we can see that 500 represents the P value which is the initial value of the investment.

We can also see that the rate is 0.07. Then converted from a decimal to a percent would be 7 percent.

4 out of 5 phones that are recycled, have cracks on the screens. If 30 phones got recycled today, how many probably had cracks on their screens?

Answers

Answer:

24

Step-by-step explanation:

The unit rate of 4:5 is 0.8 because 4 divided by 5 is 0.8

0..8 x 30= 24

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