Answer:
7
Step-by-step explanation:
[36 + ( 3 × 2 ) ] ÷ 6 = 7
Answer:
7
Step-by-step explanation:
[ 36 + ( 3 × 2 ) ] ÷ 6
= [ 36 + 6 ] ÷ 6
= [ 42 ] ÷ 6
= 7
Matthew's total points scored in basketball this season were 168 points. He scored 147 of those points in the regular season and the rest were scored in his only playoff game. What percent of his total points did he score in the playoff game?
Answer:
12.5%
Step-by-step explanation:
He scored [tex]168-147=21[/tex] points in the playoff game.
This is equal to [tex]\frac{21}{168}(100)=12.5\%[/tex].
Let r(x) = x2. If r(x) = 4, find x.
if r(x) = x² and r(x) = 4, then the value of x = ± 2
What is equivalent of value?Equal means same in all aspects, whereas equivalent means similar but not identical. For example, 2 is said to be equal to 2 but equivalent to 1 + 1.
For example y = x+5 and the same y = 2x+7
then we can say that x+5 Is also equal to 2x+7
2x+7 = x+5
then x = -2
similarly r(x) = x²
thesame r(x) = 4
this means that x² = 4
solving for x
we find the square root of both sides
√x² = √4
x= ±2
It is ± because square root value as two possible values of either both positive or both negative.
Therefore the value of x is ±2
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Is 2x 3 a linear function?
Answer:
yes
Step-by-step explanation:
The word linear is used for a straight line. A linear function is a function of a straight line, which means that the degree of a linear function must be 0 or 1 . In this case, The degree of f(x)=2x−3 f ( x ) = 2 x - 3 is 1 , which makes the function a linear function.
20 points, pls help, its angles
in exercise 15, find the expectation if a person buys two tickets. assume that the players ticket is replaced after each draw and that the same tiket can win more than one prize answer
The expectation is -$9.6
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
Given that, a lottery offers one $1000 prize, two $700 prizes, three $300 prizes, and four $200 prizes.
Expected winning per ticket :
Σ(X × p(X)) = [(1000 × 1/1000) + (600 × 2/1000) + (300 × 2/1000) + (200 × 5/1000) - price per ticket
= 1 + 1.2 + 0.6 + 1 - 7
= 3.8-7
= -$3.2
Expected winning if 3 tickets are purchased :
3 × (-3.2) = -$9.6
Hence, the expectation is -$9.6
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Write an equation of the perpendicular bisector of the segment with the endpoints (-8,-1) and (4,5).
y =
The equation of the perpendicular bisector of the segment with the endpoints (-8,-1) and (4,5) is 2x+y = -2.
The line between these locations' slopes must equal the negative reciprocal of the bisector's slope. It must go through the segment midway.
The slope of the line through the given points :
m = (y2 -y1)/(x2 -x1) = (5 -(-1))/(4 -(-8)) = 6/12 = 1/2
Then, The slope of the required bisector: m = -1/(1/2) = -2
The midpoint of the given segment:
((-8, -1) +(4, 5))/2 = (-8+4, -1+5)/2 = (-4, 4)/2 = (-2, 2)
Then the point-slope form of the equation of the bisector:
y -y1 = m(x -x1)
y -2 = -2(x -(-2))
y = -2x -4 +2
y = -2x -2 . . . . . . . slope-intercept form equation
2x +y = -2 . . . . . . .standard form equation
Thus, The equation of the perpendicular bisector of the segment with the endpoints (-8,-1) and (4,5) is 2x+y = -2.
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????????? help ?????????? please
Answer:
(y-x=1.75)×2
2y-2x=3.5
2y-2x+4x-2y=3.5+4
2x. =7.5
X=3.75
y-x=1.75,
y. =1.75+3.75
y=5.5
Solve for x using what you know about interior angles of the shape
Answer:
117
Step-by-step explanation:
The figure is five sided, therefore the sum of the angles = (5-2)180
= 3*180
= 540
113 + 123+97+90(since its right angles)+y(unknown) = 540
423 + y = 540
y = 540 - 423
y = 117
Let the angle vertically opposite to y be z
y = z (vertically opposite angles)
z = 117
x = 117 (Corresponding angles are equal)
Hope u understand.
Please mark as teh brainliest
Need help with this! Due in 10 mins please
Answer:
I think the third option
Step-by-step explanation:
Have a nice day! Hope this helps! Owa Owa!!!!
Pls help due in 5 mins
The given algebraic equation can be written in many ways as shown.
What is algebraic equation?The term "algebraic equation" refers to a formulation of the equality of two expressions using the algebraic operations of addition, subtraction, multiplication, division, raising to a power, and extraction of a root on a set of variables.
Solution:-
-5x-15+25x-30
it can be written as
-5(x+3-5x+6)
20x-45
5(4x-9)
and also
-5(9-4x)
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Find the equation that is equivalent to [tex]-5x-15+25x-30[/tex].
First, complete arithmetic operations on linear equations [tex]-5x-15+25x-30[/tex]
*Remember : how to complete arithmetic operations on linear equations, grouping terms with the same variable and then adding them up
[tex]-5x-15+25x-30 = -5x+25x-15-30=20x-45[/tex]
Then, find the common factors of [tex]20x[/tex] and [tex]-45[/tex].
Both have the same factor is [tex]-5[/tex].
Use the distributive property to find the equation that is equivalent.
[tex]20x-45=-5(\frac{20x}{-5}-\frac{45}{-5} )=-5(-4x-(-9))=-5(-4x+9)[/tex]
So, [tex]-5x-15+25x-30[/tex] equivalent to [tex]-5(-4x+9)[/tex]
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Circles centered at $A$ and $B$ each have radius 2, as shown. Point $O$ is the midpoint of $\overline{AB}$, and $OA
The distance between the two circles is 5.
The distance between two circles is the difference between the sum of their radii and the distance between their centers. In the given diagram, the radius of the circles centered at $A$ and $B$ is 2, and the distance between their centers is the length of $\overline{AB}$, which is 5. Therefore, the distance between the two circles is 5 - (2 + 2) = 5.
The distance between the two circles is 5.
The distance between two circles is the difference between the sum of their radii and the distance between their centers.
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i need help asap plz!!!
Answer:
AC ≈ 10.3
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan48° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{AC}{9.3}[/tex] ( multiply both sides by 9.3 )
9.3 × tan48° = AC , then
AC ≈ 10.3 ( to 3 sf )
What is the sign of -4 divided by -8?
Choose 1 answer:
Positive
B
Negative
Zero
Answer:
Positive
Step-by-step explanation:
Positive / positive = positive
positive / negative = negative
negative / negative = positive
negative/ positive = negative
Sign of -4 divided by -8 we get positive expression.
Here we have to find the sing of expression,
When -4 divided by -8
Since we know that,
Dividing two fractions is equivalent to multiplying the first fraction by its reciprocal. The first step in splitting fractions is to get the reciprocal of the second fraction (reverse the numerator and denominator). Then, multiply the numerators.
We can write it,
-4 divided by -8 = -4/-8
= (4/8)x(-1/-1)
= 1/2 its a positive number.
Hence,
-4 divided by -8 = 1/2
Hence we get positive expression.
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how do you say 250.611 in words please do not lie
Answer:
two hundred fifty and six hundred elensths (i dont remember the end)
Step-by-step explanation:
The sum of -3 times x +6.3 what are all the possible values of x
So x = 2.1 is the only possible value of x that makes the equation true.
Define Equation.The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Define Algebraic expression.An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.
The equation is given as follows:
-3x + 6.3 = 0
To find the value of x, we need to isolate x on one side of the equation. We can do this by adding 3x to both sides:
-3x + 3x + 6.3 = 0 + 3x
6.3 = 3x
Now we can divide both sides by 3:
x = 6.3/3
x = 2.1
So x = 2.1 is the only possible value of x that makes the equation true.
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Write an equivalent expression by factoring the expression: 72d + 81
Answer:
9(8d + 9)
Step-by-step explanation:
Since 72 and 81 are both divisible by 9, we can factor out a 9 from the expression:
72d + 81
9(8d + 9)
So, the factored expression is 9(8d + 9)
Convert the number into standard form, please!
Convert from number format to standard form as a decimal multiplied by a power of 10.
What is standard form?Standard form is a way of writing a number so it is easier to read. It is often used for very large or very small numbers. Standard form is like scientific notation and is typically used in science and engineering.A number is written in standard form when it is represented as a decimal number times a power of 10.As an example, consider the speed of light which travels at about 671,000,000 miles per hour. Written in standard form this number is equivalent to 6.71 x 108.step 1
convert 1.5806*10rais to 4
Convert to decimal notation
1.5806*10^4
The exponent is 4, making it 10 to the power of 4. As the exponent is positive, the solution is a number greater than the origin or base number. To find our answer, we move the decimal to the right 4 time(s)
1.5806 ->15806
step 2
final result
15806
Simplify the expression
1.581*10^4
Simplify exponents and square roots
1.581*10^4
10 ^4 = 10 × 10 × 10 × 10 = 10,000
1.581*10000
Perform any multiplication or division, from left to right:
1.581*10000
15806
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A right triangle has one angle that measures 13°. What is the measure of the other acute
angle?
Answer:
25
Step-by-step explanation:
its needs to be under 90
Answer:
Explanation:
A triangle's three interior angles will add up to
180
∘
. Since it's a right angle, that means one angle is
90
∘
and the other is given as
15
∘
.
Therefore,
90
+
x
+
15
=
180
So
x
=
180
−
90
−
15
x
=
75
The acute angle is
75
∘
.
In ΔSTU, the measure of ∠U=90°, TU = 28 feet, and ST = 39 feet. Find the measure of ∠T to the nearest tenth of a degree?
Answer:
∠T≈44.1
Step-by-step explanation:
Please see the attached image.
Relative to ∠T, we know the adjacent side and the hypotenuse, 28 and 39 respectively.
We can use a trig function to solve for ∠T. When given the adjacent side and hypotenuse, we can use cosine.
The cosine of an angle is the adjacent side to that angle over the hypotenuse.
cos(T)=28/39
T=[tex]cos^-1[/tex](28/39)
T≈44.1
DeAndre is 18 miles into a 54-mile backpacking trip in the wilderness.
DeAndre can hike 12 miles per day. How many more days does DeAnd
need to finish?
DeAndre needs
more days.
i need help with this math question HELP
The quadratic functions shown are written in factored form. The roots of a quadratic function will make the factors equal to 0.
Drag each function to show whether it has roots at x=−1 and x=5, roots at x=1 and x=−5, or neither.
Answer:
Roots x = -1 and x =5
k(x) = (x + 1)(x - 5)
m(x) = 1/2(x + 1 )(2x - 10)
Roots x = 1 and x = -5
n(x) = (3x + 15)(x - 1)
f(x) = (x - 1)(x + 5)
q(x) = (2x - 2)(3x + 15)
Neither
h(x) = 1/2(x + 1)(2x - 20)
Step-by-step explanation:
We have given that ,the quadratic functions shown are written in factored form. The roots of a quadratic function will make the factors equal to 0.
What are the step for finding the polynomial from its root?1. Write root as factor changing the sign and put each factor in paranthesis
2.Multiply paire of roots together using box to find the multiplication
3.Make sure that each factor multiplied by every other factor.
The function has roots x = -1 and x =5
[tex]k(x) = (x + 1)(x - 5)\\\\k(x)=x^2-5x+x-5\\k(x)=x^2-4x-5\\[/tex]
[tex]m(x) = 1/2(x + 1 )(2x - 10)\\m(x)=1/2(2x^2-10x+2x-10)\\m(x)=1/2(2x^2-8x-10)\\m(x)=x^2-4x-5[/tex]
The function k(x) and m(x) has root x=-5 and x=5
The function has roots x = 1 and x = -5
[tex]n(x) = (3x + 15)(x - 1)\\n(x)=3x^2-3x+15x-15\\n(x)=3x^2+12x-15\\n(x)=1/3(x^2+4x-5)[/tex]
[tex]f(x) = (x - 1)(x + 5)\\f(x)=x^2+5x-x-5\\f(x)=x^2+4x-5[/tex]
[tex]q(x) = (2x - 2)(3x + 15)\\q(x)=6x^2+30x-6x-30\\q(x)=6x^2+24x-30\\q(x)=1/6(x^2+4x-5)[/tex]
The function n(x),q(x) and f(x) has roots x=1 and x=-5
h(x) = 1/2(x + 1)(2x - 20)
h(x) has no roots from roots at x=−1 and x=5, and x=1 and x=−5.
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There are 12 girls and 16 boys in Mr jonsons 3rd period class of these students 3 girls and 4 boys wear glasses what percentage of the Stu in Mr jonsons class wear glasses
Answer:
25%
Step-by-step explanation:
Of the 12 girls and 16 boys in Mr. Johnson's class, 3 girls and 4 boys wear glasses. You want to know the percentage of students in the class who wear glasses.
PercentageThe percentage is the fraction multiplied by 100%. The fraction is the ratio of glasses-wearers to total students.
percentage = (girls w/ glasses + boys w/ glasses)/(girls + boys)×100%
percentage = (3 +4)/(12+16) × 100% = 7/28 × 100% = 25%
25% of the students in Mr. Johnson's class wear glasses.
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find the equation of the line passes through the point (-1,2) and making an angle of 45° with the line x-y+1=0
Answer:
Step-by-step explanation:
line given is x-y+1= 0
you can rewrite it in slope intercept y=mx+b where m is the slope, and b is the y-intercept where the line meets the y-axis
x-y+1 =0 subtract x and 1 from both sides of the equation
-y = -x-1 multiply both sides by -1
y = x+1 so the slope of this line is 1 and the y-intercept is 1
If you draw this line you can see that there are actually 2 lines that form 45° angles with y=x+1 and pass through (-1, 2), one is vertical x= -1 and one horizontal y =2
Natalia paid a total of 38.95 for 3 pizzas and a salad. The price of each pizza was p dollars. And the price of the salad was 11.98 what is the cost of 1 pizza
Answer:
The cost for 1 pizza is $8.99
Step-by-step explanation:
We know
Natalia paid a total of 38.95 for 3 pizzas and a salad
A salad = $11.98
We first find the total cost of 3 pizzas by
38.95 - 11.98 = $26.97
$26.97 is the cost for 3 pizzas; to find the cost of 1 pizza, we take
26.97 divided by 3 = $8.99
So, the cost for 1 pizza is $8.99
Answer:
The cost of 1 pizza is $8.99.
Step-by-step explanation:
Let
[tex]t[/tex] = total price
[tex]p[/tex] = pizzas
[tex]s[/tex] = salads
Natalia bought 3 pizzas and 1 salad
[tex]38.95=3p+1s[/tex]
We are given the price of the salad.
[tex]38.95=3p+11.98[/tex]
Now we can find the cost of 1 pizza.
Lets solve for [tex]p[/tex].
Subtract 11.98 from both sides of the equation.
[tex]26.97=3p[/tex]
Divide both sides of the equation by 3.
[tex]p=\frac{26.97}{3}\\p=8.99[/tex]
what is the slope intercept form of this equation: -12x + 3y = 3*
Answer:
y=4x+1
Step-by-step explanation:
i hope this helps :)
how to solve the Quadratic formul
Answer:
The answer is x=-6, x=8
Step-by-step explanation:
I recommend using the quadratic formula to solve this problem.
x^2=a
-2x=b
-48=c
Plug it into the quadratic formula.
New equation:[tex]\frac{2+-\sqrt{(-2)^2-4(1)(-48)}}{2(1)}[/tex]
Simplify
Equation: [tex]\frac{2+-\sqrt{4+192}}{2}[/tex]
Add 4 and 192.
Equation: [tex]\frac{2+-\sqrt{196}}{2}[/tex]
Do the square root of 196.
Equation: [tex]\frac{2+-14}{2}[/tex]
Make into two different equations.
Equation 1: [tex]\frac{2+14}{2}[/tex]
Equation 2: [tex]\frac{2-14}{2}[/tex]
Solve the two equations and you will get -6 and 8. Hope this helps!
[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
Solve using the quadratic formula ⇨ x² - 2x - 48 = 0.[tex] \large \boxed{\mathbb{ANSWER \: WITH \: EXPLANATION} \downarrow}[/tex]
[tex] \sf \: x ^ { 2 } - 2 x - 48 = 0[/tex]
All equations of the form ax² + bx + c = 0 can be solved using the quadratic formula: [tex]\sf \frac{-b±\sqrt{b^{2}-4ac}}{2a}[/tex]. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.
[tex] \sf \: x^{2}-2x-48=0 [/tex]
This equation is in standard form: ax² + bx + c = 0 Substitute 1 for a, -2 for b and -48 for c in the quadratic formula.
[tex] \sf \: x=\frac{-\left(-2\right)±\sqrt{\left(-2\right)^{2}-4\left(-48\right)}}{2} \\ [/tex]
Square -2.
[tex] \sf \: x=\frac{-\left(-2\right)±\sqrt{4-4\left(-48\right)}}{2} \\ [/tex]
Multiply -4 times -48.
[tex] \sf \: x=\frac{-\left(-2\right)±\sqrt{4+192}}{2} \\ [/tex]
Add 4 to 192.
[tex] \sf \: x=\frac{-\left(-2\right)±\sqrt{196}}{2} \\ [/tex]
Take the square root of 196.
[tex] \sf \: x=\frac{-\left(-2\right)±14}{2} \\ [/tex]
The opposite of -2 is 2.
[tex] \sf \: x=\frac{2±14}{2} \\ [/tex]
Now solve the equation [tex]\sf\:x=\frac{2±14}{2}[/tex] when ± is plus. Add 2 to 14.
[tex] \sf \: x=\frac{16}{2} \\ [/tex]
Divide 16 by 2.
[tex] \boxed{ \boxed{ \bf \: x=8 }}[/tex]
Now solve the equation [tex]\sf\:x=\frac{2±14}{2} [/tex] when ± is minus. Subtract 14 from 2.
[tex] \sf \: x=\frac{-12}{2} \\ [/tex]
Divide -12 by 2.
[tex] \boxed{\boxed{ \bf \: x=-6 }}[/tex]
The equation is now solved.
[tex] \underline{ \bf \: x=8 }\\ \underline{ \bf \: x=-6 }[/tex]
Change the following mixed numbers to improper fractions
a) 4 3/8
b) 2 1/3
c) 5 2/5
Answer:
a) 35/8
b) 7/3
c) 27/5
Step-by-step explanation:
Answer:
a) 35/8
b) 7/3
c) 27/5
Step-by-step explanation:
*to solve multiply the whole number by the denominater and add that total with the numerator, keep the denominater the same
a)
[tex]4 \frac{3}{8} [/tex]
[tex] \frac{32 + 3}{8} = \frac{35}{8} [/tex]
b)
[tex]2 \frac{1}{3} [/tex]
[tex] \frac{6 + 1}{3} = \frac{7}{3} [/tex]
c)
[tex]5 \frac{2}{5} [/tex]
[tex] \frac{25+ 2}{5} = \frac{27}{5} [/tex]
3. Tell whether the set of ordered pairs {(3, 2), (4, 3), (5, 4), (6, 5)} satisfies a linear function. Explain.
a. No; there is no constant change in x that corresponds to a constant change in y.
b.
No; there is a constant change in x that corresponds to a constant change in y.
Yes; there is a constant change in x that corresponds to a constant change in y.dd T
Yes; there is no constant change in x that corresponds to a constant change in y.
d.
Find the x and
conto
The given set of ordered pairs does not satisfy a linear function.
What is a linear function?A linear function is one that, when plotted, forms a straight line. Therefore, non-linear functions are all non-linear functions. We can discern if a function is linear or non-linear from its input/output table or equation, but graphing may be the quickest way to do it.
Given:
The given set of ordered pairs is:
{(3, 2), (4, 3), (5, 4), (6, 5)}
To find:
Whether the given set of ordered pairs satisfies a linear function or not.
Explanation:
The slope of a linear function is:
m = (y₂ - y₁)/ (x₂ -x₁)
The slope of the linear function passes through the points and is:
m₁ = (3-1)/(3-1)
m₁ = 2/2
m₁ = 1
The slope of the linear function passes through the points and is:
m₂ = (9-3)/(5-3)
m₂ = 6/2
m₂ = 3
Therefore m₁ ≠ m₂ therefore the given set of ordered pairs does not satisfy a linear function.
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some helppp me plzzz
Answer:
-2, 4
-1, -2
0, 0
1, 2
2, 4
Step-by-step explanation:
X. Y
-2 = 4
-1 = 2
0 = 0
1 = -2
2 = -4