Determine the number and type of solutions of the quadratic
equation.
4x2 – 3x + 1 = 0
O one real solution
O two imaginary solutions
O one imaginary solution
O two real solutions

[tex]ratio-of-red-blocks-to-yellow-blocks = \frac{number-of-red-blocks}{number-of-yellow-blocks} =\frac{12}{8} =\frac{3}{2}[/tex]

Answer: [tex]\frac{3}{2}[/tex] or   3 : 2

Hope it helps!

Answer:

3 : 2

Step-by-step explanation:

Answer:

6 times as many dogs as cats

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

So we know that if we combine all of the dogs and cats, we get 25. We also know that there are 4 times more dogs than cats, so we can call cats x, and dogs 4x.

So 4x + x = 25

5x = 25

x=5

There are 5 cats. Now that we know the number of cats , we just need to multiply that by 4, which is 20 dogs.

Answer:

$75.50

Step-by-step explanation:

Answer:

The 12 portions weigh a total of 12*0.7 = 8.4 lbs

So, the almonds weigh 8.4 - 3.6 = 4.8 lbs

Answer:

Step-by-step explanation:

Let raisins weight be x

Then we get equation

Solving for x

Option B is correct one

Answer:

-2.2y-1.8

Step-byStep-byStep-byStep-byStep-byStep-byStep-byStep-byStep-by

1.2y-3.4y=-2.2y

4.5-6.3=-1.8

ssoso:-2.2y-1.8

Hey there!

[tex]⇢ \: A = 2wl + 2lh + 2hw[/tex]

Substitute

[tex]⇢ \: = 2(8)(17) + 2(17)(12) + 2(12)(8)[/tex]

[tex]⇒872[/tex]

Surface area = 872 square inches

Answer:

Step-by-step explanation:

Answer:

5, 30, and 70

Step-by-step explanation:

Multiply by  number of quarters by 5 to get the number of nickels.

The probability that Akira will choose apple pie and Paula will choose strawberry cheesecake for dessert is; B: 0.028

We are told that;

There are 6 dessert options menu.

Now, Akira and Paula like all of the choices equally. Thus, probability of selecting any of the 6 menus will be; P(select 1 menu) = 1/6

Thus, probability that they select the preferred menu written in the question is; P(both select 1 menu) = 1/6 * 1/6 = 0.028

Read more about Probability at; https://brainly.com/question/251701

Answer: D

Step-by-step explanation:

Answer:

The correct answer is B. The concrete slab is 3 cm tall.  

Answer:

-18 and 3/4

Step-by-step explanation:

Answer:

the complement of 37 degrees is 53 degrees.

Step-by-step explanation:

90-37=53

Answer:

[tex]\boxed {x_{1} = 3}[/tex]

[tex]\boxed {x_{2} = -4}[/tex]

Step-by-step explanation:

Solve the following equation:

[tex]\left[\begin{array}{ccc}3&2\\5&5\\\end{array}\right] \left[\begin{array}{ccc}x_{1}\\x_{2}\\\end{array}\right] + \left[\begin{array}{ccc}1\\2\\\end{array}\right] = \left[\begin{array}{ccc}2\\-3\\\end{array}\right][/tex]

-In order to solve a pair of equations by using substitution, you first need to solve one of the equations for one of variables and then you would substitute the result for that variable in the other equation:

-First equation:

[tex]3x_{1} + 2x_{2} + 1 = 2[/tex]

-Second equation:

[tex]5x_{1} + 5x_{2} + 2 = -3[/tex]

-Choose one of the two following equations, which I choose the first one, then you solve for [tex]x_{1}[/tex] by isolating

[tex]3x_{1} + 2x_{2} + 1 = 2[/tex]

-Subtract [tex]1[/tex] to both sides:

[tex]3x_{1} + 2x_{2} + 1 - 1 = 2 - 1[/tex]

[tex]3x_{1} + 2x_{2} = 1[/tex]

-Subtract [tex]2x_{2}[/tex] to both sides:

[tex]3x_{1} + 2x_{2} - 2x_{2} = -2x_{2} + 1[/tex]

[tex]3x_{1} = -2x_{2} + 1[/tex]

-Divide both sides by [tex]3[/tex]:

[tex]3x_{1} = -2x_{2} + 1[/tex]

[tex]x_{1} = \frac{1}{3} (-2x_{2} + 1)[/tex]

-Multiply [tex]-2x_{2} + 1[/tex] by [tex]\frac{1}{3}[/tex]:

[tex]x_{1} = \frac{1}{3} (-2x_{2} + 1)[/tex]

[tex]x_{1} = -\frac{2}{3}x_{2} + \frac{1}{3}[/tex]

-Substitute [tex]-\frac{2x_{2} + 1}{3}[/tex] for [tex]x_{1}[/tex] in the second equation, which is [tex]5x_{1} + 5x_{2} + 2 = -3[/tex]:

[tex]5x_{1} + 5x_{2} + 2 = -3[/tex]

[tex]5(-\frac{2}{3}x_{2} + \frac{1}{3}) + 5x_{2} + 2 = -3[/tex]

Multiply [tex]-\frac{2x_{2} + 1}{3}[/tex] by [tex]5[/tex]:

[tex]5(-\frac{2}{3}x_{2} + \frac{1}{3}) + 5x_{2} + 2 = -3[/tex]

[tex]-\frac{10}{3}x_{2} + \frac{5}{3} + 5x_{2} + 2 = -3[/tex]

-Combine like terms:

[tex]-\frac{10}{3}x_{2} + \frac{5}{3} + 5x_{2} + 2 = -3[/tex]

[tex]\frac{5}{3}x_{2} + \frac{11}{3} = -3[/tex]

-Subtract [tex]\frac{11}{3}[/tex] to both sides:

[tex]\frac{5}{3}x_{2} + \frac{11}{3} - \frac{11}{3} = -3 - \frac{11}{3}[/tex]

[tex]\frac{5}{3}x_{2} = -\frac{20}{3}[/tex]

-Multiply both sides by [tex]\frac{5}{3}[/tex]:

[tex]\frac{\frac{5}{3}x_{2}}{\frac{5}{3}} = \frac{-\frac{20}{3}}{\frac{5}{3}}[/tex]

[tex]\boxed {x_{2} = -4}[/tex]

-After you have the value of [tex]x_2[/tex], substitute for [tex]x_{2}[/tex] onto this equation, which is [tex]x_{1} = -\frac{2}{3}x_{2} + \frac{1}{3}[/tex]:

[tex]x_{1} = -\frac{2}{3}x_{2} + \frac{1}{3}[/tex]

[tex]x_{1} = -\frac{2}{3}(-4) + \frac{1}{3}[/tex]

-Multiply [tex]-\frac{2}{3}[/tex] and [tex]-4[/tex]:

[tex]x_{1} = -\frac{2}{3}(-4) + \frac{1}{3}[/tex]

[tex]x_{1} = \frac{8 + 1}{3}[/tex]

-Since both [tex]\frac{1}{3}[/tex] and [tex]\frac{8}{3}[/tex] have the same denominator, then add the numerators together. Also, after you have added both numerators together, reduce the fraction to the lowest term:

[tex]x_{1} = \frac{8 + 1}{3}[/tex]

[tex]x_{1} = \frac{9}{3}[/tex]

[tex]\boxed {x_{1} = 3}[/tex]

Check the picture below.

[tex]~~~~~~\textit{initial velocity in meters} \\\\ h(t) = -4.9t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&5\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&9\\ \qquad \textit{of the object}\\ h=\textit{object's height}\\ \qquad \textit{at "t" seconds} \end{cases} \\\\\\ h(t)=-4.9t^2+5t+9\implies \stackrel{h(t)}{0}=-4.9t^2+5t+9 \implies 4.9t^2-5t-9=0[/tex]

since we don't get any neat integer values from it hmmm let's plug that in the quadratic formula to see what we get as h(t) = 0.

[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{4.9}t^2\stackrel{\stackrel{b}{\downarrow }}{-5}t\stackrel{\stackrel{c}{\downarrow }}{-9}=0 \qquad \qquad t= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ t= \cfrac{ - (-5) \pm \sqrt { (-5)^2 -4(4.9)(-9)}}{2(4.9)}\implies t=\cfrac{5\pm\sqrt{25+176.4}}{9.8} \\\\\\ t=\cfrac{5\pm \sqrt{201.4}}{9.8}\implies t\approx \begin{cases} 1.96~~\checkmark\\ -0.94 \end{cases}[/tex]

notice, we do not use the negative value for "t", since the seconds cannot be less than 0.

Answer:

See below.

Step-by-step explanation:

The factors of 49 are 1, 7, and 49.

1 x 49 = 49

7 x 7 = 49

-hope it helps

Answer:

I already said b in the comment area so I'm just putting it here now

Step-by-step explanation:

(B) The value of the correlation coefficient will move closer to 0.

Therefore, the correct option is (B) The value of the correlation coefficient will move closer to 0.

Know more about Data here:

https://brainly.com/question/19243813

#SPJ2

Answer:

here

Step-by-step explanation:

For the first one shade 38 squares

For the second one shade 65 of the squares

#1 is 38%

#2 is 65%

Answer:shade 19 out of 50 bloxks

Step-by-step explanation:

it shows on page

Answer:

f(x) = −6(x+ 1)(x +5)

Step-by-step explanation:

x-intercepts at (−1, 0) and (−5, 0)

so the roots are -1 and -5 (where the graph intersects the x-axis)

this will give us that f(x) = (x- root1)(x-root2) = (x- -1)(x- -5) = (x+1)(x+5)

y-intercept at (0, −30) is telling us that when x= 0 the y = -30

y = a ( x+1)(x+5) , in general

y = a(0+1)(0+5), is the equation if x=0

-30 = a·1·5, we need y= -30 when x= 0

-30 = 5a , divide both sides of the equation by 5

-6 = a

The correct choice is :

f(x) = −6(x+ 1)(x +5)

f(x) = −6(x − 1)(x − 5)

f(x) = −5(x +1)(x +5)

f(x) = −5(x − 1)(x − 5).

Answer:

"the difference of" means to subtract

Therefore, "the difference of 3 and a number" would be:

3-x

Step-by-step explanation:

The required number is 63 and its 20% will be 12.6.

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.

The difference between 3 and the number x of that number is -60.

According to the question, the algebraic form will be as:

⇒ 3 - x = -60

⇒ x = 60 + 3

Apply the addition operation,

⇒ x = 63

So the required number is 63

20% of the number = (20/100) × 63

20% of the number = (0.20) × 63

20% of the number is 12.6.

Therefore, the required number is 63 and its 20% will be 12.6.

Learn more about the number system here:

brainly.com/question/21751836

#SPJ3

The question seems to be incomplete the correct question would be:

The difference between 3 and the number x of that number is -60. What is 20% of that number?

Answer: 61 Biscuits

Step-by-step explanation: 13g of butter per biscuit, 25g sugar per biscuit, 32.5g flour per biscuit, 21.25g rice per biscuit

By taking the amount of flour per biscuit (the largest ingredient) and dividing 2000 by it you get 61 which is the most amount of biscuits he can make with his ingredients.

Answer:

A

Step-by-step explanation:

[tex] {16}^{2} = {14}^{2} + {x}^{2} [/tex]

[tex]256 - 196 = {x}^{2} [/tex]

[tex]x = \sqrt{60} = 2 \sqrt{15} [/tex]

Answer:

45% of 280 is 126

126

Hope This Helps!

35% of 280 is 98. 100% of 280 is 280, therefore 35 percent of 280 equals 98

80% of 280 = 224

45% of 280 = 126

Answer:$51.5

Step-by-step explanation:

Answer:

A C E

Both exact values are less than the approximate value.

The top model has a greater percent error.

The absolute error is the same for both.

Step-by-step explanation:

Answer:

Both exact values are less than the approximate value.

The top model has a greater percent error.

The absolute error is the same for both.

Step-by-step explanation:

Answer:

Value of x = 8

(3x - 7) = (5x - 23)

-2x = -16

x = 8

Value of m 8 = 17 degrees

5(8) - 23

40 - 23 = 17

Answer:

d= -0.5

Step-by-step explanation:

hope it help :)

Answer:

104 degrees

Step-by-step explanation:

RS is a line, so it is 180 degrees.  PO is also a line and point O is touching line RS.  The acute measure is 76 degrees, as shown.  To find the other angle measure for SOP, subtract 76 from 180.  That gives 104 degrees, which is the measure of SOP.

Answer:

y=5.5x

Step-by-step explanation:

Answer:(1,2)

Step-by-step explanation: The signs may not be right(positive, negative) Sorry it’s been a long time since I did this