Answer: -3
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
Given information
x= -3
Given expression
5x - 4 [7 + (2x - 4)]
Substitute x value into the expression
=5(-3) - 4 [7 + (2(-3) - 4)]
Simplify by multiplication
=-15 - 4 [7 + (-6 - 4)]
Simplify value in parentheses
=-15 - 4 [7 + (-10)]
Simplify value in bracket
=-15 - 4 [-3]
Simplify by multiplication
=-15 - (-12)
=-15 + 12
=[tex]\boxed{-3}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Find the x-intercept and y-intercept of the line.
4x+5y= -20
Answer:y-intercept = -20/5 = -4 x-intercept = -20/4 = -5
Step-by-step explanation:
Answer:
x- intercept = - 5, y- intercept = - 4
Step-by-step explanation:
The x- intercept is where the line crosses the x- axis.
The y- coordinate of any point on the x- axis is zero
Substitute y = 0 into the equation and solve for x
4x + 5(0) = - 20
4x = - 20 ( divide both sides by 4 )
x = - 5 ← x- intercept or (- 5, 0 ) in coordinate form
The y- intercept is where the line crosses the y- axis
The x- coordinate of any point on the y- axis is zero
Substitute x = 0 into the equation and solve for y
4(0) + 5y = - 20
5y = - 20 ( divide both sides by 5 )
y = - 4 ← y- intercept or (0, - 4 ) in coordinate form
Two dice are rolled. A = ‘sum of two dice equals 3’ B=‘sumoftwodiceequals7’ C=‘at
least one of the dice shows a 1’ (a) What is P (A|C)?
(b) What is P (B|C)?
(c) Are A and C independent? What about B and C?
Presumably, the two dice are fair, so that each face has an equal 1/6 probability of being rolled. We roll 2 dice, so there are 6² = 36 possible outcomes, each with 1/36 probability of occurring.
We have
• P(A) = 2/36 = 1/18, because there are only 2 ways to roll a sum of 3 (1+2 and 2+1)
• P(B) = 6/36 = 1/6, because there are 6 ways of rolling a sum of 7 (1+6, 2+5, 3+4, 4+3, 5+2, 6+1)
• P(C) = 12/36 = 1/3, because if 1 die shows a 1, then there are 6 possible values for the other die, and vice versa)
(a) By definition of conditional probability,
P(A | C) = P(A and C) / P(C)
A and C only occur together if we had rolled either {1, 2} or {2, 1}, so ultimately
P(A and C) = P(A)
so that
P(A | C) = (1/18) / (1/3) = 3/18 = 1/6
(b) From the definition,
P(B | C) = P(B and C) / P(C)
By the same reasoning as in (a), we have to roll either {1, 6} or {6, 1} to have both B and C occur, so
P(B and C) = (2/36) / (1/3) = 6/36 = 1/6
(c) In order for two events X and Y to be independent, we need to have
P(X and Y) = P(X) P(Y)
or in terms of conditional probability,
P(X | Y) = P(X and Y) / P(Y) = P(X) P(Y) / P(Y) = P(X)
Then it follows that A and C are not independent, while B and C are independent.
whicth inequality is true for X=20
Answer:
x+30 <3x
x divided by 4 < x - 12
2x < x + 22
Simplify 4n5 + 3.5n5 + (-2.1n5).
4.4 n5
5.4 n5
20 n5
6.4 n5
Answer:
[tex]4 {n}^{5} + 3.5 {n}^{5} + ( - 2.1 {n}^{5} )[/tex]
first create a bracket:
[tex] = ( {4n}^{5} + 3.5 {n}^{5} ) + ( - 2.1 {n}^{5} )[/tex]
then solve the first bracket:
[tex] = {7.5 {n}^{5} } + ( - 2.1 {n}^{5} )[/tex]
then open the remaining bracket:
[tex] = {7.5n}^{5} - {2.1n}^{5} [/tex]
carryout the subtraction operation:
[tex] = (7.5 - 2.1) {n}^{5} \\ { \boxed{ = {5.4n}^{5} }}[/tex]
Answer:
5.4n to the fifth power
Step-by-step explanation:
The side panel of a skateboard ramp is a trapezoid as shown.
A. Write an expression to find the amount of wood needed to build the two side panels of a skateboard ramp.
B. How much wood is needed to build to side panels of a skateboard ramp
Answer:
A. 2•5(7.5+7.5+7.0)
b. -55
round 32,072 to the nearest ten thousands
Answer:
32,072.0000
Step-by-step explanation:
help! i need this turned in quick because it's late!!
The Process with answer. Hope it helps
5(2x + 5y) - 4y + 10x
How can I solve this?
Answer:
20x+35y
Step-by-step explanation:
5(2x + 5y) - 4y + 10x
distribute
10x + 25y - 4y + 10x
add like terms
20x+21y
What is 150% of 2/3km
Answer:
150% of 2/3 km
150/100 * 2/3
50/50
= 1 km
which expressions are equivalent to (5g+3h+4) . 2
Answer:
2(5g+3h+4)
10g+6h+8
Please that is the answer
can anyone help me please
Answer:
fig.1 No, fig.2
Step-by-step explanation:
fig.1 is no because "a" has more than one output therefore it's not a function.
fig. 2 is yes because "a,b,c,d" have different outputs but not more than one
try the rest by yourself. have a good day and remember don't get stressed over the little things
if your shoe size is out of stock should you size up or down i’m a girl please help
Solve for p in terms of q,r,s and t
Answer:
is there by chance a photo reference?
А football player shoot to score When he is 12m from one goal post and 6m from the other. If the goal posts are 7m apart, within what angle must a ground Shoot be made to score
Answer:
24.54°Step-by-step explanation:
The three segments make a triangle with sides 6, 7 and 12 m.
We need to find the angle opposite to side 7 m.
Use the low of cosines to work out the angle x:
cos x = (6² + 12² - 7²)/(2*6*12)cos x = 0.9097x = arccos (0.9097)x = 24.54° (rounded)6x-2+9y-3y-3x
Help anyone?
Step-by-step explanation:
6x-2+9y-3y-3x
6x-3x-2+9y-3y
3x-2+6y
Therefore its 3x-2+6y.
if x is a rational number and y=2/3, which statement describess the sum of x and y?
Answer:
The answer is: The sum of x and y is a rational number.
Step-by-step explanation:
x is a rational number (any).
[tex]\frac{2}{3}[/tex] is a rational number too.
So, the sum of x and y will also be a rational number.
What do i have to do?
Answer:
It is 136
Step-by-step explanation:
[tex]h + {k}^{2} - j[/tex]
substitute respectively as in question:
[tex] = 3 + {(11)}^{2} - ( - 12)[/tex]
open brackets:
[tex] = 3 + 121 + 12 \\ = 136[/tex]
Answer:
136
Step-by-step explanation:
Given
h + k² - j ( substitute the given values into the expression ) , that is
3 + 11² - (- 12)
= 3 + 121 + 12
= 136
What is the length of the line?
Please explain in depth and I will give Brainliest
Answer:
Step-by-step explanation:
picture will show you all the explaination
For each expression, select all equivalent expressions from the list.
Answer:
a) 5x + x AND 6x
b) 5 + 40y
Step-by-step explanation:
can somebody help me please with my Economics
Answer:
Yes of course I will help you
solve the equation
6.5=-3+n
6.5 = -3 + n
Add 3 to both sides:
9.5 = n
Answer: n = 9.5
What is the value of p in the followingWhat is the value of p in the following division problem?
7/8 ÷ p = 1 11/24
Answer:
p=3/5
Step-by-step explanation:
steps are in the picture.
If you need to ask question about it ,i shall gladly give your answer.
Segments with the lengths of 6, 8, and 10 units will form what type of triangle?
Select the best answer from the choices provided.
A. right
B.isosceles
C. equilateral
D. They do not form a triangle.
Answer:
right
Step-by-step explanation:
use pathagorus theorem and we will get right angled triangle
Kelly works two jobs. She usually works at a retail store for 7 hours during the day and is paid $11.72 per hour by the store. In the evening she works at a restaurant as a manager for 6 hours and is paid $8.96 per hour. How much does she make on average per hour for the day?
Answer:
$10.44
Step-by-step explanation:
Day - 7 hours
one hour - $11.72
7 hrs = (7 × $11.72)
Total per day = $82.04
Evening- 6 hours
1 hour- $8.96
6 hours =(6 × $8.96)
= $53.76
Average = total amount of money ÷ total amount of hours worked
= ($82.04 + $53.76) ÷ ( 7 + 6 )
= 135.8 ÷ 13
= $10.44
two numbers have a product of 12 but their sum is-7 what are the numbers
Answer:
-4 and -3
Step-by-step explanation:
-4*-3 is 12 (negative * negative = positive)
-4+-3=-7
In San Diego the average cost of gas is $4.15 per gallon. If a car has a fuel efficiency of 24 miles per gallon and the owner of this car travels approximately 150 miles per week. How much money is this person spending on gas per week? Show work
Answer:
$25.94
Step-by-step explanation:
150 ÷ 24 = 6.25
6.25 × 4.15 = 25.9375
25.94
v/6 > 11
solve for the inequallity
please will mark brainliest
Hi ;-)
[tex]\frac{v}{6}>11 \ \ /\cdot6\\\\\frac{6v}{6}>66\\\\v>66\\\\\huge\boxed{v\in(66;+\infty)}[/tex]
2. What value of x makes the equation 4 - 3x = 19 true?
Answer:
x = -5
Step-by-step explanation:
If you want the value of x and it should be true we first need to find the value of x
4 - 3x = 19
-3x = 19 - 4
-3x = 15
x = 15/-3
x = -5
Jacob has 96 books to stick on library shelves. Each shelf can hold 9 books. How many shelves will he need to stack all the books?
Answer:
11 shelves
Step-by-step explanation:
find the range of possible values for x
[tex]\\ \rm\longmapsto x-5=41[/tex]
[tex]\\ \rm\longmapsto x=41+5[/tex]
[tex]\\ \rm\longmapsto x=46[/tex]
Hence
[tex]\\ \rm\longmapsto 45<x<47[/tex]