Answer: Choice B
Two imaginary solutions
=======================================================
Explanation:
The given equation is
4x^2 - 3x + 1 = 0
Compare this to the general quadratic
ax^2 + bx + c = 0
to find that a = 4, b = -3, c = 1.
Plug those values into the discriminant formula below.
d = b^2 - 4ac
d = (-3)^2 - 4*4*1
d = 9 - 16
d = -7
Then recall that...
If d > 0, then we have two real solutions.If d = 0, then we have only one real solution.If d < 0, then we have two imaginary solutions.We see that d = -7 fits with the third option highlighted above.
4x2 – 3x + 1 =
0 one real solutiontwo imaginary solutionsone imaginary solutiontwo real solutions→ two imaginary solutionsLola bought 6 bracelets for $7.50 and 10 rings for $13.00. At the same time, Bella bought 8 bracelets and 7 rings. What is the total price for the items Bella bought?
Answer:$51.5
Step-by-step explanation:
what are the missing numbers?
Answer:
5, 30, and 70
Step-by-step explanation:
Multiply by number of quarters by 5 to get the number of nickels.
Solving a Two-Step Matrix Equation
Solve the equation:
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]
PLEASE HELP PLEASE HELP!!!!
Write a problem that would result in the expression: -12 + 6(3/4). Solve your problem and show your work.
Answer:
-18 and 3/4
Step-by-step explanation:
There are 6 options on the dessert menu at a restaurant. Akira and Paula like all of the choices equally, so they each choose a dessert at random from the menu. What is the probability that Akira will choose apple pie and Paula will choose strawberry cheesecake for dessert? Express your answer as a decimal. If necessary, round your answer to the nearest thousandth.
0.167
0.028
0.033
0.972
The probability that Akira will choose apple pie and Paula will choose strawberry cheesecake for dessert is; B: 0.028
What is the probability of selection?
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
Help me pleaseeee
I need to fund the point in the line using this equation
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
I’m to lazy to do this right now anyone can give me an answer
Answer:
$75.50
Step-by-step explanation:
1. Brother has 12 red blocks, 10 blue blocks, and 8 yellow blocks. What is the ratio of red blocks to yellow blocks?
[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:
The first step of a staircase that leads to an outdoor deck is above a concrete slab. The height, h, in centimeters of the n step of
the staircase above the ground can be represented by the function h (n) = 25n+ 3. Which of the following is a correct
interpretation of the function? (1 point)
A. The concrete slab is 25 cm tall
B. The height of each step is 3 cm.
C. The first step is 25 cm tall, and the subsequent steps are 3 cm tall
D. The concrete slab is 3 cm tall.
Answer: D
Step-by-step explanation:
Answer:
The correct answer is B. The concrete slab is 3 cm tall.
Which equation, when graphed, has x-intercepts at (−1, 0) and (−5, 0) and a y-intercept at (0, −30)? 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:
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).
What is The difference of 3 and a number X
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.
What is the number system?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:
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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?
5x+10y=20
graph it using y=mx+b
show your work please
Answer:
y=20-5x 10Step-by-step explanation:
5x+10y=20y=mx+b10y=20-5xdivide by 10 both side10y=20-5x 10 = 10y=20-5x 10answerAn object is thrown in the air with an initial velocity of 5 m/sec from a height of 9 m. The following equation models the height of the object in meters after t seconds. How many seconds does it take for the object to hit the ground?
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.
There are 4 times as many dogs as cats if the total number of dogs and cats is 25 how many dogs are there
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.
Please help!!!!!! Thank you so much!!!!!
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.
4. If m 1 = (10x + 42)° and m 7 = (2x + 6)º,
what is the value of x, m 1?
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
Which is true of the models? Check all that apply. Both exact values are less than the approximate value. The percent errors are the same. The top model has a greater percent error. The bottom model has a greater percent error. The absolute error is the same for both.
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:
Question is in the picture:
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
x+4y=12
Solving the equation for y
what is the complement of 37 degrees without using a protractor, sketch the two angles so that they are adjacent
Answer:
the complement of 37 degrees is 53 degrees.
Step-by-step explanation:
90-37=53
What is -1.4d = 0.7? Solve for d.
Answer:
d= -0.5
Step-by-step explanation:
hope it help :)
Ingnd mxes 3 6 pounds of almonds with some raisins to make a trail mix She divides the trail mix into 12 equal portions Each portion weighs 0.7 of a pound How many pounds of raisins did she use to make the trail mix? Express the answer to the nearest tenth 2.9 4.8 5.1 7.2
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:
4.8 poundsStep-by-step explanation:
Let raisins weight be x
Then we get equation
(3.6 + x)/12 = 0.7Solving for x
3.6 + x = 12*0.7x + 3.6 = 8.4x = 8.4 - 3.6x = 4.8 poundsOption B is correct one
Need help asap please
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]
Here is a list of ingredients: 260g of butter, 500g of sugar, 650g of flour, 425g of rice to make 20 biscuits. Michael has 2kg of each ingredient. Work out the greatest number of biscuits that he can make.
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.
1.2y+4.5-3.4y-6.3 pls help me
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
Find the constant of proportionality if y varies directly with x for the values below.
x = 2
y = 11
Answer:
y=5.5x
Step-by-step explanation:
Calculate the surface are of each of the following. Show your work.
Hey there!
[tex]⇢ \: A = 2wl + 2lh + 2hw[/tex]
L = 17 inW = 8 inH = 12Substitute
[tex]⇢ \: = 2(8)(17) + 2(17)(12) + 2(12)(8)[/tex]
[tex]⇒872[/tex]
Surface area = 872 square inches
Besides 49 and 1, what is one factor of 49??????????????????????
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
100 points pls right answers only it’s for apex
An outlier point is added to a set of bivariate data. In what way must your analysis change with the addition of the outlier?
A. The sign of the regression coefficient will change from positive to
negative, or vice versa.
B. The value of the correlation coefficient will move closer to 0.
C. The regression constant will change dramatically.
D. All of the above.
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.
Bivariate data:Bivariate data in statistics refers to data on two variables, each of which has a value coupled with a value of the other variable. Normally, it would be interesting to look into any potential relationships between the two variables. The association can be investigated using sample statistics that can be utilized for inference, a tabular or graphical display, or both. The approach taken to look into the association would depend on how the variable was measured. Bivariate correlation or bivariate association are terms used to describe the links, which only involve two variables.Therefore, the correct option is (B) The value of the correlation coefficient will move closer to 0.
Know more about Data here:
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PLEASE HELP! I’ll mark you as brainliest or whatever it’s called❤️
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