Answer:
(C)Converting to a common denominator
Step-by-step explanation:
Given some of the steps in the derivation of the quadratic formula below:
[tex]\text{Step 3:} -c + \dfrac{b^2}{4a}=a(x^2+ \dfrac{b}{a}x+ \dfrac{b^2}{4a^2})\\\\\text{Step 4a:} -c + \dfrac{b^2}{4a}=a(x+\dfrac{b}{2a})^2\\\\\text{Step 4b:} \dfrac{-4ac}{4a}+ \dfrac{b^2}{4a}=a(x+\dfrac{b}{2a})^2[/tex]
Step 4b is derived from Step 4a by converting the left-hand side to a common denominator 4a.
Therefore, that which best explains or justifies Step 4b is:
(C)Converting to a common denominator
Answer:
C
Step-by-step explanation:
lol
The data below shows how old each of Brad's eight kids were when they started kindergarten.
4
4
5
4
5
4
3
4
Using this data, create a frequency table.
Age (in years)
Number of kids
3
4
5
Answer:
Age (in years) | Number of kids
3 | 1
4 | 5
5 | 2
Step-by-step explanation:
In the picture there is one 3, five 4s, and two 5s.
So that means there is 1 kid that is 3.
5 kids that are 4,
and 2 kids that are 5.
Answer:
3 1
4 5
5 2
Step-by-step explanation:
thats the anwser on khan
Which algebraic expressions are polynomials
Answer:
2,3,5,6
Step-by-step explanation:
Gracie is making 2 and 1/2 batches of chocolate chip cookies for her school bake sale. If one batch of cookies requires 1 and 1/4 cups of flour, how many cups of flour will she need?
Answer:
Step-by-step explanation:
What you just have to do is multiply 2 1/2 and 1 1/4, but i can still do it. 2 1/2 is the same as 5/2 , and 1 1/4 is the same as 5/4, so just multiply the top and the bottom and you will get 25/8 whicxh is basically 3 and 1/8
Find the value of x in the triangle shown below
Answer: 70
Step-by-step explanation:
Since the spot where the 3.5 and the 4 meet is 55 and there is 2 of that exact angle you can add them to get 110. 180-110 is 70 :)
BIg Points big answer and explanations
Answer:
1/10
Step-by-step explanation:
We are hoping for 2 of the 20, and 2/20 simplified equals 1/10
C: 1/5 chance.
There are 20 possible outcomes, with 4 involving chicken and 4 involving ribs.
However, only 2 of each of those involves red sauce.
So the possibilities of getting a red sauce with chicken or ribs is 4.
4/20 = 1/5.
13 points! Easy question for y’all mathy people! Ez points! Question in photo.
Answer: 1, 2, and 4
Step-by-step explanation:
The graph with straight line is an function.
The second one shows about every has two single numbers instead of more than one output.
The third one shows the points, but -1 has more than one output, show it's not an function.
The final one shows the slope intercept form and it's just an function.
Answer:
1,2,4 also
Step-by-step explanation:
How can I solve this problem?
a) 108°
Answer:
b) 54°
Step-by-step explanation:
a) By arc sum property of a circle.
[tex] m\widehat {AEB} + m\widehat {AB} = 360°\\
252° + m\widehat {AB} = 360°\\
m\widehat {AB} = 360°- 252°\\
\huge \red {\boxed {m\widehat {AB} = 108°}} \\[/tex]
b) In the given figure, DC is tangent to the circle with O at point A and AB is chord or secant. Therefore, by tangent secant theorem:
[tex] m\angle BAC = \frac{1}{2} \times m\widehat {AB}\\\\
\therefore m\angle BAC = \frac{1}{2} \times 108°\\\\
\huge \purple {\boxed {m\angle BAC = 54°}} [/tex]
If 32 % of a is 1.12 then what is the value of a?
Answer:
4.5 is the value of A
Step-by-step explanation:
do it doing part/whole and cross crossing :)
32/100 because it’s a percentage and 1.12/x. 1.12 times 100 to get 112, and then 32 times x = 32x. your equation right now is 32x = 112, bur we want to get rid of that x, so we are going to divide 112/32 to get the whole of 3.5 for the value of A.
Can someone please help me only if you know how to do geometry thank you
Answer: SSS
The markings on the two triangles display side congruencey.
So AC is congruent to EC and etc. There are three pairs of side markings, so that means the two triangles are congruent because of the side, side side postulate.
A carnival ride is in the shape of a wheel with a radius of 30 feet. The wheel has 30 cars attached to the center of the wheel. What is the central angle, arc length, and area of a sector between any two cars? Round answers to the nearest hundredth if applicable. You must show all work and calculations to receive credit.
Answer:
[tex]12^{\circ}[/tex] [tex]1\ feet\ and[/tex] [tex]94.28\ ft^2[/tex]
Step-by-step explanation:
Data provided in the question
The radius of a wheel = 30 feet
Number of cars attached = 30 cars
Based on the above information
The computation is shown below:
The center angle is
[tex]= \frac{360}{30}[/tex]
[tex]= 12^{\circ}[/tex]
The arc length is
[tex]= \frac{12}{360}(30)[/tex]
= 1 feet
And, the area of a sector between two cars is
[tex]= \frac{12}{360}(\pi (30)^2)[/tex]
= [tex]94.28\ ft^2[/tex]
We simply do the above calculations so that each item could be find out
Match each function with its domain. 1. S(x) = √x 2. H(x) = √2+x 3. Z(x) = √x-2 4. Q(x) = √2-x 5. V(x) = √-x 6. N(x) = ^3√2-x x ≤ 2 x ≥ -2 x ≥ 0 x ≥ 2 x ≤ 0 All real numbers
Answer:
1. x ≥ 0
2. x ≥ -2
3. x ≥ 2
4. x ≤ 2
5. x ≤ 0
6. All real numbers
Step-by-step explanation:
Domain of square function:
Suppose we have a square function in the following format:
[tex]f(x) = \sqrt[n]{g(x)}[/tex]
If n is even, the domain of f(x) is:
[tex]g(x) \geq 0[/tex]
Otherwise, if n is odd, the domain of f(x) is all real numbers.
1. S(x) = √x
If n does not appear is that it is 2.
g(x) = x
So the domain is:
[tex]x \geq 0[/tex]
2. H(x) = √2+x
g(x) = 2 + x
So
[tex]2 + x \geq 0[/tex]
[tex]x \geq -2[/tex]
3. Z(x) = √x-2
g(x) = x - 2
[tex]x - 2 \geq 0[/tex]
[tex]x \geq 2[/tex]
4. Q(x) = √2-x
g(x) = 2 - x
[tex]2 - x \geq 0[/tex]
[tex]-x \geq -2[/tex]
Multiplying by -1, everything
[tex]x \leq 2[/tex]
5. V(x) = √-x
g(x) = -x
Then
[tex]-x \geq 0[/tex]
Multiplying by -1
[tex]x \leq 0[/tex]
6. N(x) = ^3√2-x
Cubic root(odd number), so all real numbers.
An exterior angle of an isosceles triangle has a Measure 160°. Find two possible sets of measures for the angles of the triangle. If the exterior angle of the bases is 160° then the measure of the angle of each base is
Answer:
the angles would either be 20, 20, 140 or 20, 80, 80
Step-by-step explanation:
Answer:
20, 20, 140 or 20, 80, 80
Step-by-step explanation:
Betty is now three times as old as Mickey, but in five years she will be only twice as old as Mickey. What are the respective ages of Mickey and Betty now?
Answer:15
Step-by-step explanation:
it could be 15 but (three times) is geting me off
sorry if i was no help and all the number's wow
The angle \theta_1θ 1 theta, start subscript, 1, end subscript is located in Quadrant \text{II}IIstart text, I, I, end text, and \sin(\theta_1)=\dfrac{1}{4}sin(θ 1 )= 4 1 sine, (, theta, start subscript, 1, end subscript, ), equals, start fraction, 1, divided by, 4, end fraction . What is the value of \cos(\theta_1)cos(θ 1 )cosine, (, theta, start subscript, 1, end subscript, )?
Answer:
[tex]\cos(\theta_1)=-\dfrac{\sqrt{15}}{4}[/tex]
Step-by-step explanation:
The angle [tex]\theta_1[/tex] is located in Quadrant II.
[tex]\sin(\theta_1)=\dfrac{1}{4}[/tex]
From trigonometry, we know that:
[tex]\sin(\theta)=\dfrac{Opposite}{Hypotenuse}\\$Therefore:\\Opposite=1\\Hypotenuse=4\\Using Pythagorean theorem:\\Hypotenuse^2=Opposite^2+Adjacent^2\\4^2=1^2+Adjacent^2\\Adjacent^2=16-1\\Adjacent^2=15\\Adjacent=\sqrt{15}[/tex]
Now, in Quadrant II,
The x-axis is negativeThe y-axis is positiveTherefore, the Adjacent angle to [tex]\theta_1 =-\sqrt{15}[/tex]
Therefore:
[tex]\cos(\theta_1)=\dfrac{Adjacent}{Hypotenuse}=\dfrac{-\sqrt{15}}{4}\\\\\cos(\theta_1)=-\dfrac{\sqrt{15}}{4}[/tex]
F(x) = x^2-3x+18f(x)=x 2 −3x+18f, left parenthesis, x, right parenthesis, equals, x, squared, minus, 3, x, plus, 18 What is the value of the discriminant of fff? How many distinct real number zeros does fff have?
Answer:
No real roots or no real zeros.
Step-by-step explanation:
The given function is
[tex]f(x)=x^2-3x+18[/tex]
We need to find the number of real zeroes.
The given function is a quadratic function.
Let a quadratic function is [tex]f(x)=ax^2+bx+c[/tex].
If [tex]b^2-4ac<0[/tex], then the function has no real root.
If [tex]b^2-4ac=0[/tex], then the function has one real root with multiplicity 2.
If [tex]b^2-4ac>0[/tex], then the function has two real roots.
In the given function,
[tex]a=1,b=-3,c=18[/tex]
So,
[tex]b^2-4ac=(-3)^2-4(1)(18)=9-72=-63<0[/tex]
The value of discriminant is -63.
Therefore, the given function has no real root or no real zeros.
Answer:
The discriminant value of F is -63
F has 0 distinct real number zeros
Step-by-step explanation:
Richard drives his car for 5 hours.
His average speed is 30 mph.
(a) How far does Richard travel?
miles
Richard drives 560 km the next day.
(b) Work out how much further Richard travelled, compared to the previous day.
5 miles = 8 kilometers
miles
Answer:
A. 150 miles
B. 200 miles further
Step-by-step explanation:
Multiply 30 by 5 to find how far he traveled the first day
30 x 5 = 150 miles
For the second day, convert km to miles by making a proportion
[tex]\frac{5}{8}[/tex] = [tex]\frac{x}{560}[/tex]
x = 350 miles
Then, to find the difference, subtract the 350 - 150 = 200
You have a bag of 130 strawberries. You eat 27 strawberries and then split the remaining strawberries between 4 friends. Which of the following is a good estimation of how many strawberries each of your friends get?
Answer:
Step-by-step explanation: (130-27)/4 = 25.75 im not sure how you want to round it
Answer:25
Step-by-step explanation: to round 25.75 you have to round it 25 but i believe 25.75 is less than 5 we simply remove the fractional part to get the answer.25.Hope this helped.
b) Write 1.27 x 10-2 as an
as an ordinary number.
Answer:
10.7...........................................
simplify 15a^6bc^4/35a^2c^4
Answer:
[tex]\dfrac{3a^4b}{7}[/tex]
Step-by-step explanation:
[tex]\dfrac{15a^6bc^4}{35a^2c^4}= \\\\\dfrac{15}{35}\times\dfrac{a^6}{a^2}\times\dfrac{c^4}{c^4}\times b= \\\\\dfrac{3}{7}\times a^4 \times 1 \times b=\\\\\boxed{\dfrac{3a^4b}{7}}[/tex]
Hope this helps!
Answer:
B
Step-by-step explanation:
5xthe power of x...................
Answer:
[tex]5x^{x}[/tex]
There are two numbers whose sum is 47. Three times the smaller number is equal to 9 more than the larger number. What are the numbers?
answer.
14 and 33
Step-by-step explanation:
lets use x for the smaller number and y for the other
x+y=47
3x=y+9
x=47-y
3(47-y)=y+9
141-3y=y+9
put the liketerms together
141-9=3y+y
132=4y. (divide both sides by 4)
y=33
x=14
Answer:
14&33
Step-by-step explanation:
x+y=47
3x=y+9
x=47-y
3(47-y)=y+9
141-3y=y+9
141-9=3y+y
132=4y
y=33
x=14
find the values for a and b.
Answer:
the value of a and b is 68
Step-by-step explanation:
the other half is 224 so you minus 360 from 224 which will give us 136 then you divide by 2 to get a and b.
Answer:
a = 68, b = 136
Step-by-step explanation:
The angle in the circle = 360°, thus
b = 360 - 224 = 136
The inscribed angle a between a tangent- chord is equal to half the measure of its intercepted arc, so
a = 0.5 × 136 = 68
I REALLY NEED YOUR HELP!
Samantha and Jillian were going for a walk. Jillian left 15 seconds ahead of Samantha. • Samantha walked at a speed of 7 feet per second. • Jillian walked at a speed of 6 feet per second. How many seconds had Jillian been walking when the two girls had walked the same distance?
Is the answer 105?
Answer:
105 seconds
Step-by-step explanation:
To solve this, we can set up an equation.
First, let's find how far ahead Jillian is.
15*6=90
Jillian is 90 feet ahead.
Let's name the time that Samantha walks x.
7x is the distance Samantha walks.
90+6x is the distance Jillian walks.
We want to find how many seconds they have walked when the distance is equal.
So let's form an equation.
7x=90+6x
Subtract 6x from both sides.
x=90
Samantha needs to walk 90 seconds.
Jillian started 15 seconds before that.
90+15=105
Jillian had been walking for 105 seconds when the two girls had walked the same distance.
Please help it’s geometry
Can someone answer this i need help
All that is needed to do is to simplify the expression.
The answer to your question is:
[tex]6 x^{6}[/tex] - [tex]10 x^{3}[/tex] + [tex]8x^{2}[/tex]
Hope I helped!
The box plots represent the distributions of typing speeds of students before and after a computer-programming course.
Which statement is true about the variability of the distributions?
The interquartile range of the typing speeds after the course is greater than the interquartile range of the speeds before the course.
The interquartile ranges of the two distributions are the same.
The range of the speeds after the course is smaller than the range of the speeds before the course.
The ranges of the two distributions are the same.
Answer:
C on EDG
Step-by-step explanation:
Answer: C on edge
Step-by-step explanation:
the range of the speeds after the course is smaller than the range of the speeds before the course.
A circular pool has a radius of 20 feet. What is the area of the pool? Use 3.14 for π.
Answer:
197.192
Step-by-step explanation:
The formula forthe area of a circle is 3.14r squared
so 3.14(20) 2(squared)=197.192
Two Parallel lines are cut by a transversal and form a pair of alternate exterior angles. One angle measures (6x+5) and other measures (7x+4). Explain how to determine what those other angles actually measure.
Answer:
The other angles will measure 83.9° and 96.1°Step-by-step explanation:
If two parallel lines are cut by a transversal and form a pair of alternate exterior angles, then the sum of the two exterior angles will be equal to 180° as shown;
If one angle measures (6x+5) and other measures (7x+4), then;
(6x+5)+(7x+4) = 180° (sum of two exterior angles)
Firstly, lets get the value of x from the equation.
6x+7x+9 = 180°
13x= 180-9
13x = 171
x = 171/13
x = 13.15°
The first angle 6x+5 will measure 6(13.15)+5 = 83.9°
The other angle 7x+4 will mesure 7(13.15)+4 = 96.1°
Answer:
Since the lines are parallel, the alternate exterior angles are congruent. Therefore you can set the expressions equal to each other and solve for x. Then you can substitute the value of x back into either expression to find the angle measure.
Step-by-step explanation: exact answer
If 12 1/2% of a sum of money is $40, what is the total sum of money?
Answer:
i think its 320
Step-by-step explanation:
i looked it up
Answer:
320
Step-by-step explanation:
To find the total sum, divide the sum of money by the percentage.
12 1/2% = 0.125
40/0.125 = 320
Janice already has $65 dollars in her savings account. If she puts $5 per week in her account, write an equation to find out how many weeks she must save to have at least $200 in her account.
2 points
Your answer
Answer: 65 + 5x ≥200
Step-by-step explanation:
Hi, to answer this question we have to write an inequality with the information given:
Janice's savings (65) plus the product of the amount she saves per week (5) and the number of weeks (x) must be higher or equal to $200.
Mathematically speaking:
65 + 5x ≥200
If we solve it for x:
5x ≥200-65
5x ≥135
x ≥ 135/5
x ≥ 27 weeks
Feel free to ask for more if needed or if you did not understand something.
