What are the solutions to this quadratic equation? -2x^2 + x + 4 = 0

Answer:

-21/10

Step-by-step explanation:

-2/5 - 4/5 + (-9/10) = -6/5 -9/10 = -12/10 -9/10 = -21/10

Answer:

-21/10

Step-by-step explanation:

Plug in 4/5 for x and simplify.

-2/5 - 4/5 + (-9/10)

-6/5 + (-9/10)

-21/10 or -2 1/10

I hope this helps :))

2 should be distributed as 2y + 12; y = 6

Step-by-step explanation:

The equation is...

[tex]2(y+6)=4y[/tex]

First, we need to distribute the 2 to the numbers in the parentheses. We will multiply them both by 2.

[tex]2y+12=4y[/tex]

Now we can subtract 2y from both sides. On the left it will cancel and on the right we will be left with 2y.

[tex]12=2y[/tex]

Now we can just divide and...

y = 6

Answer:

[tex]\overline{PM}\cong\overline{ON}[/tex]: Reason; Corresponding parts of congruent triangles ΔOMN and ΔOMP are congruent (CPCTC)

Step-by-step explanation:

1) MNOP is a parallelogram: Reason; Given

2) [tex]\overline{PM}\left | \right |\overline{ON}[/tex]: Reason; Definition of a parallelogram

3) ∠MON ≅ ∠PMO: Reason; Alternate Int. ∠s Thm.

4) [tex]\overline{MN}\left | \right |\overline{PO}[/tex]: Reason; Definition of a parallelogram

5) ∠NMO ≅ ∠POM: Reason; Alternate Int. ∠s Thm.

6)  [tex]\overline{OM}\cong\overline{OM}[/tex]: Reason; Reflexive property

7) ΔOMN ≅ ΔOMP: Reason; Angle Angle Side (AAS) congruency theorem

8)  [tex]\overline{PM}\cong\overline{ON}[/tex]: Reason; Corresponding parts of congruent triangles are congruent (CPCTC).

Also we have;

9)  [tex]\overline{PM}\cong\overline{ON}[/tex]: Reason; Segment opposite congruent angles are congruent

Answer:

Step-by-step explanation:

5x3= 15

8x9=72

12x11=132

14x17=138

9x17=153

15+72+132+138+153=510

510/50=10.2= mean

Answer:

Probability is the chance of occurrence of an event. The probability that both marbles are drawn by the Cymra are red

Step-by-step explanation:

Answer:

Brainliest!

Step-by-step explanation:

100% sugar syrup = 75/30 x 100 = 250

Answer:

w = 17 fts

l = 32 fts

Step-by-step explanation:

P = 2w + 2l

l = 2w - 2

98 = 2w + 2(2w - 2)

98 = 2w + 4w - 4

98 + 4 = 6w

6w = 102

w = 17 fts

l = 2×17 - 2 = 34 - 2 = 32 fts

Answer:

1/1000 for the 1st

1/100 for the 2nd

Step-by-step explanation:

0.1% is 0.001, which is 1/1000

1% is 0.01, which is 1/100

Answer:

0.1% = 10    1%=1/100

Answer:

1.

3x + 4y = 0

x - 2y = 5

Solving them simultaneously we get

x = 2 and y = -1.5

Value of (x , y ) is ( 2 , -1.5)

2. Sine of an angle is the ratio of the opposite to the Hypotenuse

3.

Volume of a cylinder = πr²h

r = radius h = height

V = 22/7 × 1.75² × 8

V = 22/7× 24.5

V = 77cm³

Volume of the cylinder is 77cm³

Hope this helps.

Answer:

£4 and £6

Step-by-step explanation:

Total = £10

Ratio = 2:3

Total Parts = 2+3 = 5

Divide it by the Total

=> 10/5 = £2

Multiply it by the ratios

1) 2 * 2 = £4

2) 3 *2 = £6

Answer:

4:6

Step-by-step explanation:

2+3=5

10/5=2

3x2= 6

2x2=4

4:6

Answer:

C

Step-by-step explanation:

[tex]\sqrt{3}\cdot\sqrt{21}= \\\\\sqrt{3\cdot 21}= \\\\\sqrt{63}= \\\\3\sqrt{7}[/tex]

Therefore, the correct answer is choice C. Hope this helps!

Answer:

3√7

Step-by-step explanation:

√3×√21=√63

√63=√7×√9=√7 × 3

=3√7

Answer:

184

Step-by-step explanation:

edmund as a 2 by 2 cube

so samuel has a cuboid twice as long

2 x 2 = 4

3 times as wide

3 x 2 = 6

and 4 times as high

2 x 4 = 8

8 x 6 x 4 = 192 small cubes

but we are trying to find how much more samuel got

so 192 - 8 = 184

Answer:

D.) 184

Step-by-step explanation:

Its kinda like solving for "X"-

Isolate "x" on one side of the algebraic equation by adding the negative number that appears on the same side of the equation as the "x." For example, in the equation "x - 5 = 12", rewrite the equation as "x = 12 + 5" and solve for "x." The solution is "x = 17." A linear algebraic equation is nice and simple, containing only constants and variables to the first degree (no exponents or fancy stuff). To solve it, simply use multiplication, division, addition, and subtraction when necessary to isolate the variable and solve for "x". Here's how you do it: 4x + 16 = 25 -3x = ____.  We have 4 ways of solving one-step equations: Adding, Substracting, multiplication and division. If we add the same number to both sides of an equation, both sides will remain equal.

*Plus i got it Right*

:D

Answer:

The answer is no, because 9 + 3 isn't greater than 15. Remember, to form a triangle the sum of the 2 shortest sides must be greater than the longest side.

Answer:

No, because 9 + 3 isn't greater than 15.

Step-by-step explanation:

The Triangle Inequality Theorem states that the 2 shorter legs of a triangle's sum must add up to be greater than the hypotenuse or the longest side. So 3, 9, and 15 don't make a triangle.

Answer:

Comprimento: 28.9 m; Largura: 11.1 m

Step-by-step explanation:

P = 2(C + L) = 80

A = CL = 320

2(C + L) = 80

CL = 320

C + L = 40

CL = 320

C = 40 - L

CL = 320

(40 - L)L = 320

40L - L^2 = 320

L^2 - 40L + 320 = 0

aL^2 + bL + c = 0

[tex] L = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex] L = \dfrac{-(40) \pm \sqrt{(-40)^2 - 4(1)(320)}}{2(1)} [/tex]

[tex] L = \dfrac{40 \pm \sqrt{1600 - 1280}}{2} [/tex]

[tex] L = \dfrac{40 \pm \sqrt{320}}{2} [/tex]

[tex] L = \dfrac{40 \pm \sqrt{64 \times 5}}{2} [/tex]

[tex] L = \dfrac{40 \pm 8\sqrt{5}}{2} [/tex]

[tex] L = 20 \pm 4\sqrt{5} [/tex]

[tex] L \approx 28.9 [/tex] or [tex] L \approx 11.1 [/tex]

L = 28.9

C = 40 - L = 40 - 28.9 = 11.1

Answer: Comprimento: 28.9 m; Largura: 11.1 m

Answer:

Complete the statements about the system of linear equations represented by the tables.

The equation representing the left table is

✔ y = 1.5x – 6

The equation representing the right table is

✔ y = –4x + 6.1

The solution to the system of equations is

✔ (2.2, –2.7)

The statements  about the system of linear equations represented by the tables should be described below:

Find out more information about the  equation here:

https://brainly.com/question/2263981?referrer=searchResults

Answer:

720

Step-by-step explanation:

To solve this question, we would be using the formula for z- score

The formula for calculating a z-score is z = (x-μ)/σ

where x = raw score

μ = population mean

σ = sigma = population standard deviation.

From the question, we are given

The mean of a set of credit scores Mu = 690

sigma = population standard deviation 14

z - score = 3.3

This means we are to find x

z = (x-μ)/σ

3.3 = x - 690/ 14

Cross Multiply

3.3 × 14 = x - 690

46.2 = x - 690

x = 690 + 46.2

x = 736.2

Since we are told that it is a range, the closest out of the options given to our calculated x which is 736.2 is 720

Answer:

c. 720

Step-by-step explanation:

on edge

Answer:

2+1+4=7

Step-by-step explanation:

Just break apart your number.

since we are using (7), I just took a bit away from it.

so, 7-2=5

then, i broke apart 5 into 2 pieces.

5-4=1

so, 4, 1, and 2 work for this problem  

Answer:

D

Step-by-step explanation:

Tenth vs Hundreth.... ten times larger

Answer:

D. 0.73

Step-by-step explanation:

In the number 0.975, 7 stands for 7 hundredths i.e. 0.07

=> Multiplying 0.07 by 10 will make it 0.7 ( 7 tenths)

=> The number with 7 tenths or 0.7 is 0.73

Answer:

Part A: This can be solved using cancellation of units: Energy produced (ergs) = (3.9 x 10^ 33 ergs/ sec)( 1.55 x 10^7 sec) = 6.045 x 10^40 ergs Part B: The grooves within a CD is very small, therefore it would be more reasonable to have a value of 1.6 x 10^-3 mm

Hope this helped you!

Step-by-step explanation:

Answer:

9, or -9

Step-by-step explanation:

9t=81 or -81

t=9 or -9

Answer:

[tex]t=9\\t=-9[/tex]

Step-by-step explanation:

[tex]|9t|=81[/tex]

[tex]9t=81\\9t=-81[/tex]

[tex]t=81 \div 9\\t=-81 \div 9[/tex]

[tex]t=9\\t=-9[/tex]

Answer:

[tex]x + 3y + 2z = 13 \\ 2x + 2y + 4z = 18 \\ 3x + 2y - 3z = 14 \\ \\ x = - 3y - 2z + 13 \\ 2( - 3y - 2z + 13) + 2y + 4z = 18 \\ 3( - 3y - 2z + 13) + 2y - 3z = 14 \\ y = 2 \\ z = \frac{25}{9} - \frac{7}{9} y \\ z = \frac{25}{9} - \frac{7}{9} \times 2 \\ z = \frac{11}{9} \\ x = - 3 \times 2 - 2( \frac{11}{9} ) + 13 \\ x = \frac{41}{9} \\ y = 2 \\ z = \frac{11}{9} [/tex]

Answer:

-7

Step-by-step explanation:

[tex]x^2+x+2=0 \\\\b^2-4ac= \\\\1^2-4(1)(2)= \\\\1-8= \\\\-7[/tex]

Hope this helps!

The value of the discriminant for the quadratic equation 0 = x + 2 + x² is -7.

Quadratic equations are polynomial equations of second degree.

The general form of a quadratic equation is ax² + b x + c = 0.

Given quadratic equation is,

x² + x + 2 = 0

The discriminant of a quadratic equation of the form ax² + bx + c = 0 is,

Discriminant = b² - 4ac

Here, a = 1, b = 1 and c = 2

Substituting,

Discriminant = 1² - (4 × 1 × 2)

                     = 1 - 8

                     = -7

Hence the discriminant of the given equation is -7.

Learn more about Quadratic Equations here :

https://brainly.com/question/9300679

#SPJ7

Answer:

(1,4) (2,1) (5,1) (4,4)

Step-by-step explanation:

The options are:

(-4,-4) (-4,-1) (-1, -4) (-1,-1)

(-2,-4) (-1, -1) (1,-1) (2, -4)

(1,1) (2,4) (5, 4) ( 4,1)

(1,4) (2,1) (5,1) (4,4)

The only one which has two sides with negative slopes is the last one.

Slope of the side that passes through  (1,4) and (2,1): (4 - 1) / (1 - 2) = -3

Slope of the side that passes through  (4,4) and (5,1): (4 - 1) / (4 - 5) = -3

Answer: D. (1,4) (2,1) (5,1) (4,4)

Step-by-step explanation: On Edgenuity!!!!!!!!!!!!

Answer:

B) 10

Step-by-step explanation:

∠IJA= ∠HJA

ΔIJA has twice smaller side opposite ∠J than ∠A

Similarly

ΔHLA side 5 opposite  ∠J,

So x/5= 20/10 ⇒ x= 5*2= 10

Answer choice is B) 10

Answer:

1/16

Step-by-step explanation:

multiply by 1/2

1, 1/2, 1/4 , 1/8, 1/16

Answer:

1/16

Step-by-step explanation:

If you see the pattern it goes by x2 (the denominator)

1 , 1/2, 1/4, 1/8, 1/16

Answer:

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

Step-by-step explanation:

Firstly, you have to factorize the expressions on the numerator and denorminator :

Numerator :

[tex]2 {x}^{2} - 3x - 5[/tex]

[tex] = 2 {x}^{2} + 2x - 5x - 5[/tex]

[tex] = 2x(x + 1) - 5(x + 1)[/tex]

[tex] = (2x - 5)(x + 1)[/tex]

Denorminator :

[tex] {x}^{2} + 6x + 5[/tex]

[tex] = {x}^{2} + x + 5x + 5[/tex]

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

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

Next, you have to put the factorized-form in the fraction and cut out the similar expressions :

[tex] \frac{(2x - 5)(x + 1)}{(x + 1)(x + 5)} [/tex]

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

Answer:

Option B is the correct answer.

Step-by-step explanation:

B= {- 5, - 4.5, - 3}

Answer:

The values of Y, E, A, R are "2, 9, 1, 0".

Step-by-step explanation:

The given equation is:

⇒  [tex]YYYY-EEE+AA-R=1234[/tex]

Let the values,

[tex]Y=2[/tex]

[tex]E=9[/tex]

[tex]A=1[/tex]

[tex]R=0[/tex]

On substituting the estimated values in the L.H.S of the given equation, we get

⇒  [tex]2222-999+11-0[/tex]

⇒  [tex]1223+11[/tex]

⇒  [tex]1234 \ i.e., R.H.S[/tex]

So that the possible values of Y,E,A,R will be "2, 9, 1 and 0".

Answer:

3:2

Step-by-step explanation:

18:12

simplest form =3:2

Answer:

3:2

Step-by-step explanation:

Divide both sides by 6