Six times a number plus five is equal to seventeen.
Five added to the product of six and a number is seventeen.
help is much appreciated!!
Find the value of T.
A. 12 B. 5 C. 4 D. 16
An exercise bike increased in price from $415 to $498 find the percent increase in the cost of the exercise bike
Answer:
20%
Step-by-step explanation:
((498/415)-1)*100
= (1.2-1)*100
= 0.2*100
= 20
• How many terms are in this expression? What
are they?
6x + 4y - 9
Please help
What is the equation of the line that passes through the point (4,5) with a zero slope?
Answer:
x=5
Step-by-step explanation:
Since there is no slope, there must be a constant y.
The constant y for this coordinate is 5.
When we have the equation x=5, that creates a straight line through all coordinates with 5 as a y-value.
Write a polynomial function of least degree with real coefficients in standard form that has the given zeros. –2, –4, –3 + 4i
Given:
Zeroes of a polynomial are –2, –4, –3 + 4i.
To find:
The polynomial function of least degree with real coefficients in standard form.
Solution:
According to the complex conjugate root theorem, if a complex number a+ib is a zero of a polynomial, then its conjugate a-ib is also a zero of than polynomial.
–3 + 4i is zero of the polynomial. So, by complex conjugate root theorem -3-4i is also a zero of required polynomial.
If c is a zero of p(x), then (x-c) is a factor of p(x).
–2, –4, –3 + 4i, -3-4i are zeroes of the polynomials. So, (x+2), (x+4), (x+3-4i), (x+3+4i) are the factors of the required polynomial.
Let the required polynomial be p(x), so
[tex]p(x)=(x+2)(x+4)(x+3-4i)(x+3+4i)[/tex]
[tex]p(x)=(x^2+4x+2x+8)((x+3)^2-(4i)^2)[/tex] [tex][\because a^2-b^2=(a-b)(a+b)][/tex]
[tex]p(x)=(x^2+6x+8)(x^2+6x+9-16i^2)[/tex] [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]
[tex]p(x)=(x^2+6x+8)(x^2+6x+9-16(-1))[/tex] [tex][\because i^2=-1][/tex]
[tex]p(x)=(x^2+6x+8)(x^2+6x+9+16)[/tex]
[tex]p(x)=(x^2+6x+8)(x^2+6x+25)[/tex]
[tex]p(x)=x^2(x^2+6x+25)+6x(x^2+6x+25)+8(x^2+6x+25)[/tex]
[tex]p(x)=x^4+6x^3+25x^2+6x^3+36x^2+150x+8x^2+48x+200[/tex]
Combining like terms, we get
[tex]p(x)=x^4+(6x^3+6x^3)+(25x^2+36x^2+8x^2)+(150x+48x)+200[/tex]
[tex]p(x)=x^4+12x^3+69x^2+198x+200[/tex]
Therefore, the required polynomial is [tex]p(x)=x^4+12x^3+69x^2+198x+200[/tex].
Ruth is at the park standing next to a slide.
Ruth is 5 feet tall, and her shadow is 3 feet
long. If the shadow of the slide is 7.5 feet
long, what is the height of the slide? Assume
the triangles are similar.
Answer:
The slide is approximately 12.75 feet.
Step-by-step explanation:
We know that Ruth is 5 feet tall, and her shadow is 3 feet tall.
5 ÷ 3 = 1.7 when rounded to the nearest tenth
Therefore, the shadow height of an object multiplied by 1.7 is the height of the actual object.
If the shadow of the slide is 7.5 feet, we need to multiply 7.5 by 1.7.
7.5 x 1.7 = 12.75
Therefore, the slide is approximately 12.75 feet.
Hope this helps! :D
simplify fully: (9(x+7)^2)/(3(x-1)(x+7))
Step-by-step explanation:
9(x + 7)² divided by 3(x - 1)(x + 7)
= 3(x + 7)/(x - 1).
For f(x) = 4x + 1 and g(x) = x ^ 2 - 5 , find (f o g)(4)
Step-by-step explanation:
(f o g)(x)
= f(x² - 5)
= 4(x² - 5) + 1
= 4x² - 19.
Therefore (f o g)(4) = 4(4)² - 19 = 64 - 19 = 45.
Answer:
[tex]\boxed {\boxed {\sf 45}}[/tex]
Step-by-step explanation:
When solving a composition of function composition, work from the inside to the outside.
We have the composition:
(f o g)(4)We must start on the inside, and find g(4) first.
1. g(4)
The function for g is:
[tex]g(x)=x^2-5[/tex]
Since we want to find g(4), we have to substitute 4 in for x.
[tex]g(4)=(4)^2-5[/tex]
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Addition, and Subtraction. First we should solve the exponent.
(4)²= 4*4= 16[tex]g(4)=16-5[/tex]
Subtract 5 from 16.
[tex]g(4)= 11[/tex]
Now, since g(4) equals 11, we have:
(f o g)(4)= f(11)2. f(11)
The function for f is:
[tex]f(x)= 4x+1[/tex]
We want to find f(11), so substitute 11 in for x.
[tex]f(11)= 4(11)+1[/tex]
Solve according to PEMDAS and multiply first.
[tex]f(11)= 44+1[/tex]
Add.
[tex]f(11)= 45[/tex]
(f o g)(4) is equal to 45.
Please do it I don’t know how to
Answer:
Step-by-step explanation:
I'm that's hard to do
2x +18 = 9x + 14 for x.
Answer:
X= 4/7
Step-by-step explanation:
I used a calculator :)
What what is the range for the function f(x)=20x+4
the points (-5,4)and (1,r) lie on a line with slope -1. Find the missing coordinates r.
Answer:
R has to be -2
Step-by-step explanation:
So to find a slope the formula is written as
Y2-Y1/ X2 -X1
We know X1 and X2 and Y1.
If we plug those in and put Y2 as the variable ”r”
You’ll get
[tex]\frac{r-4}{1+5}[/tex]
Now make that equal to -1 since thats the slope
If you solve the equation it should get you -2
Whether a team had zero, one, or two Liberos for the first
sets of the match, they may designate new Liberos for the
deciding set.
Answer:
Whether a team had zero, one, or two Liberos for the first
sets of the match, they may designate new Liberos for the
deciding set.
sheet at the start of the match. If zero or one Libero is designated on the line-up sheet, the coach may select a different Libero for subsequent sets, but may not have two Liberos. If two Liberos are designated on the line-up sheet for Set 1, those are the only two Liberos who may play for that team for the match. b.
Step-by-step explanation:
No. Whether a team designates one or two Liberos for the start of the match, the player(s) designated as Libero prior to the match will be the only players who may participate as a Libero in the match, except in the cases where re- designation is permitted
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2) A big league pitching coach tries to limit his pitchers to 110
pitches per game. If the pitcher has already thrown 52
pitches, write and solve an inequality to find how many more
pitches he can throw before reaching the limit.
what type of transformation is described by (x,y)-(x+2,y+3)
Answer:
reflection across the x axis.
Step-by-step explanation:
When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).
Can someone help me
Answer:
ok sooo just go over the grfat and mm count it up to the dot.
Step-by-step explanation:
Lena makes home deliveries of groceries for a supermarket. Her only stops after she leaves the supermarket are at traffic lights and the homes where she makes the deliveries. The graph shows her distance from the store on her first trip of the day.
Give the domain of the function and relate the domain to the relationship described
If six people share 4 pints of lemonade equally, how much lemonade will each person receive?
Answer:
1.5
i think
Step-by-step explanation:
Solve the equation: [tex]5^x^(^x^-^1^)=1[/tex]
The concept:
We are given the equation:
[tex]5^{x(x-1)} = 1[/tex]
Which can be simplified as:
[tex]5^{x^{2} - x} = 1^{1}[/tex]
Since any number to the power '0' is 1
x² - x must be equal to 0 for the given equation to be true
Solving for x:
x² - x = 0
x(x-1) = 0
now, we can divide both sides by either x OR x-1
So we will see what we get for either choice:
x = 0/(x-1) x-1 = 0/x
x = 0 x = 1
Hence, the value of x is either 0 or 1
Five friends decided to get together to bake cookies for a fundraiser. In total, they baked 144 cookies and packaged them in dozens. How many packages of cookies did they bake?
.........................................................I am d u m b
Find the distance between the two points. Write your answer as a decimal rounded to the hundredths place if needed.
(-9,1) and (-10, -11)
Answer:
12.04Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x_1 - x_2})^{2} + ({y_1 - y_2})^{2} } \\[/tex]
From the question we have
[tex]d = \sqrt{ ({ - 9 - - 10})^{2} + ({1 - - 11})^{2} } \\ = \sqrt{ ({ - 9 + 10})^{2} + ({1 + 11})^{2} } \\ = \sqrt{ {1}^{2} + {12}^{2} } \\ = \sqrt{1 + 144} \\ = \sqrt{145} \: \: \: \: \: \: \: \: \\ = 12.041594[/tex]
We have the final answer as
12.04 to the nearest hundredthHope this helps you
PLEASE HURRY
Which equation has only one solution?
O-5|=-1
O6-2x| =8
O 5x+ 10| =10
O-6x+ 3| = 0
Answer:
D
Step-by-step explanation:
|-6x+3|=0
-6x+3=0
-6x=-3
x=-3/-6
x=1/2
Write the algebraic expression for...
The product of a number x and 10
Answer:
10x
Step-by-step explanation:
product In math means multiplication, whiles and means addition
Allison can sew three scarves in 75 minutes how many scarves can she sew in 4 hours?
Answer: 9
Step-by-step explanation:
I think this is the answer based off a estimate
If the perimeter of a rectangle is 34 cm and the area is 60 square cm, then what are the dimensions of the
rectangle?
Answer: 12 by 12 by 5 by 5
Step-by-step explanation: 12*5 = 60
12+12+5+5
=34
A carpenter has 10 ½ feet of wooden plank. He cuts off 4 ¼ feet to replace the slat of deck and 3 ⅔ feet to repair a bannister. He uses the rest of the plank to fix a stair. How many feet of wood does the carpenter use to fix the stair?
Cobra Kai yehdhehdhehehebdhdhdvdgdhdhdhdbdhdbdh
1/4 , 1, 4, 16, 64, ________, ________, ________
Answer:
256, 1024, 4096
Step-by-step explanation:
Multiply the number by 4 to get the next one.
Brainliest please
Someone please help me!
Which ordered pair is a solution of the equation?
y = -6x+1
Answer:
2,-11
Step-by-step explanation:
create an x/y table and plug in #s for ordered pairs
-6x + 1 = y [plug in 2 for x]
-12 + 1 = -11 [ordered pair is 2, -11]
Answer:
Both (-2, 13) and (-1, 7)
Step-by-step explanation:
Got it from Khan